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International Journal ofMolecular SciencesReviewBioinformatics Approaches for Fetal DNA Fraction Estimation in Noninvasive Prenatal TestingXianlu Laura Peng1,2and Peiyong Jiang1,2,*1Li Ka Shing Institute of Health Sciences,The Chinese University of Hong Kong,Hong Kong,China;laurapeng@.hk2Department of Chemical Pathology,The Chinese University of Hong Kong,Prince of Wales Hospital, Hong Kong,China*Correspondence:jiangpeiyong@.hk;Tel.:+852-3763-6056Academic Editor:William Chi-shing ChoReceived:18January2017;Accepted:11February2017;Published:20February2017Abstract:The discovery of cell-free fetal DNA molecules in plasma of pregnant women has created a paradigm shift in noninvasive prenatal testing(NIPT).Circulating cell-free DNA in maternal plasma has been increasingly recognized as an important proxy to detect fetal abnormalities in a noninvasive manner.A variety of approaches for NIPT using next-generation sequencing have been developed,which have been rapidly transforming clinical practices nowadays.In such approaches, the fetal DNA fraction is a pivotal parameter governing the overall performance and guaranteeing the proper clinical interpretation of testing results.In this review,we describe the current bioinformatics approaches developed for estimating the fetal DNA fraction and discuss their pros and cons. Keywords:noninvasive prenatal testing;circulating cell-free DNA;fetal DNA fraction1.IntroductionThe discovery of circulating cell-free fetal DNA in maternal plasma[1]has created a paradigm shift in noninvasive prenatal testing(NIPT),which has rapidly made its way into clinical practices worldwide,for example,cell-free DNA-based chromosomal aneuploidy detection[2–8]and diagnosis of monogenic diseases[9–15].The circulating cell-free DNA(cfDNA)in a pregnant woman is a mixture of predominant maternal DNA derived from the hematopoietic system of the mother[16,17]and fetal DNA released through the apoptosis of cytotrophoblast cells during fetal development[18,19]. The proportion of fetal DNA molecules among the total cfDNA molecules in maternal circulation is expressed as fetal DNA fraction,which is a paramount factor for determining the overall performance of NIPT[15,20–22]and interpreting clinical assessments[7,23–25].In noninvasive fetal aneuploidy detection,the fetal DNA fraction in maternal plasma is linearly correlated with the extent of chromosomal abnormalities present in plasma of pregnant women[3,6,7]. The fetal DNA concentration below4%in a maternal plasma sample would suggest a potential issue present in the quality control(QC)step,because the limited amount of fetal DNA molecules to be detected and analyzed may give rise to a false negative result[20,26–28].Therefore,it is important to estimate the fetal DNA fraction accurately,making sure that it has passed the QC threshold to guarantee a sufficient amount of fetal DNA present in a testing sample and make it possible to arrive at a proper interpretation of the sequencing result.In addition,the fetal DNA fraction has been incorporated into bioinformatics diagnostic algorithms by a number of laboratories[7,23,24].Monogenic diseases comprise a larger proportion of genetic diseases than chromosomal aneuploidies[15].However,the cfDNA-based NIPT for single-gene diseases is much more challenging, because the cfDNA in maternal plasma is generally of minor population,hampering the reliable deduction of the maternal inherence of fetus at single-nucleotide resolution.Technologically,the Int.J.Mol.Sci.2017,18,453;doi:10.3390//journal/ijmsdevelopment of relative haplotype dosage analysis(RHDO),which utilizes information regarding parental haplotypesflanking the variants of interest,has been demonstrated to greatly improve the accuracy of single-gene disorder detection[9,10,13].More recently,researchers have illustrated that the use of linked-read sequencing technology allows for directly ascertaining parental haplotypes surrounding the genes of interest,making RHDO analysis a universal NIPT method for single-gene diseases[29].This work has made an important step forward towards the real clinical utility regarding cfDNA-based single-gene disease testing.Such RHDO analysis took advantage of the fetal DNA fraction as a key parameter to determine the statistical thresholds,indicating if a particular maternal haplotype presumably inherited by the fetus exhibits a statistically significant over-presentation in maternal plasma of a pregnant woman[9,23].In this review,we discuss a number of existing approaches for the determination of fetal DNA fraction,as well as their advantages and disadvantages(Table1).The simplified principles for these approaches are diagrammatically depicted in Figure1.Figure1.Schematic illustration of current approaches for the determination of fetal DNA fraction in maternal circulating cell-free DNA(cfDNA).(a)Y chromosomal(chr)sequence-based fetal DNA fraction estimate[3,22];(b)Single-nucleotide polymorphism(SNP)-based approach.A direct way to estimate the fetal DNA fraction is to use the SNP loci,where both mother and father are homozygous but with different alleles.The resulting fetal genotype is obligately heterozygous.In maternal plasma,the fetal DNA fraction can be directly deduced by calculating the proportion of fetal specific alleles[9,30].Based on this concept,two extended versions of SNP-based methods for fetal DNA fraction estimate have been developed,namely FetalQuant and FetalQuant SD,which can be used without the need of both paternal and maternal genotype information[31,32];(c)cfDNA count-based approach.Read densities across the genome-wide50KB windows arefitted into a neural network model to predict the fetal DNA fraction[33];(d)Differential methylation-based approaches[17,26,34,35];(e)cfDNA size-based approach.The proportion of short cfDNA molecules is correlated with fetal DNA fraction[36];(f)Nucleosome track-based approach.Cell-free DNA distribution at the nucleosomal core and linkerregions is correlated with fetal DNA fraction[37].Table1.The summary of current approaches for estimating fetal DNA fraction. Approaches Advantages LimitationsY Chromosome[3,22]Simple and accurate NOT applicable for pregnancies with female fetusesMaternal plasma DNA sequencingdata with parental genotypes[9,30]Direct and accuratePaternal DNA may notbe availableTargeted sequencing of maternal plasma DNA(FetalQuant)[31]Sequencing maternal plasma DNAonly;accurateHigh sequencing depth is requiredShallow-depth sequencing ofmaternal plasma DNA coupled with maternal genotypes(FetalQuant SD)[32]Shallow-depth sequencing ofmaternal plasma DNA;accurateMaternal genotype requirementwill add additional costs;therecalibration curve is required tobe rebuilt for different sequencingand genotyping platformsShallow-depth maternal plasma DNA sequencing data(SeqFF)[33]Only shallow-depth sequencing ofmaternal plasma DNA;single-endsequencing;easy to be integratedinto the routine noninvasiveprenatal testing(NIPT)Large-scale samples are needed totrain the neutral network;need toimprove the accuracy when thefetal DNA fraction is below5%Differantial methylation [17,26,34,35]AccurateEither bisulfite conversion ordigestion withmethylation-sensitive restrictionenzymes may affect the accuracy;genome-wide bisulfite sequencingis too expensive and prohibitivefor the routine NIPTcfDNA fragment size[36]Only shallow-depth sequencing ofmaternal plasma DNA;easy to beintegrated into the routine NIPTModerate accuracy;paired-endsequencing would increasethe costsNucleosome track[37]Only shallow-depth sequencing ofmaternal plasma DNALower accuracy;high-depthsequencing data is requiredduring the training step2.Current Approaches Developed to Estimate Fetal DNA Fraction2.1.Y Chromosome-Based ApproachIn the early works,genetic markers located on Y chromosome which are paternally inherited, such as gene SRY,DYS14and ZFY,were used to indicate the fraction of fetal DNA molecules based on PCR assays[23,38,39].For instance,the ratio of the concentration of the sequences from Y chromosome to that of an autosome was used for the determination of fetal DNA fraction.In the context of NIPT using massively parallel sequencing,the proportion of all sequence reads from Y chromosome can be translated to the fetal DNA fraction[3,22].Although these methods are simple and accurate,they are only applicable to pregnancies carrying male fetuses.2.2.Maternal Plasma DNA Sequencing Data with Parental Genotype-Based ApproachWith the use of parental genotypes,fetal-specific alleles in maternal plasma can be readily identified from the sequence reads.Briefly,the fetal genotypes are obligately heterozygous at single-nucleotide polymorphism(SNP)loci,where both father and mother are homozygous but with different genotypes(e.g.,A/A for paternal genotype and C/C for maternal genotype).Then the fetal DNA fraction can be quantified by calculating the ratio of fetal-specific alleles(A)to the total alleles in plasma DNA[7,9,30,40].Even though this method is a direct and accurate way to assess the fetal DNA fraction and generally considered as a gold standard[9],the feasibility of this approachis sometimes hindered by the requirement of parental genotypes,because(1)only maternal blood samples would be collected and maternal plasma DNA are subject to sequence for NIPT in most clinical settings;and(2)it is not uncommon that the genotype of the biological father may not be available in practice[41].2.3.High-Depth Sequencing Data of Maternal Plasma DNA-Based ApproachTo obviate the requirement of parental genotype information,an approach called FetalQuant was developed to measure the fetal DNA fraction through the analysis of maternal plasma DNA sequencing data at high depth using targeted massively parallel sequencing[31].In this method, a binomial mixture model was employed tofit the observed allelic counts with the use of the underlying four types of maternal-fetal genotype combinations(AA AA,AA AB,AB AA,AB AB,where the main text and subscript represent the maternal and fetal genotypes,respectively).In this model,the fetal fraction was determined through the maximum likelihood estimation.The predicted result of this method is very close to the one deduced by the parental genotypes-based approach(the correlation coefficient is not available).However,the limitation of this approach would be that the sequencing depth is required to be as high as~120×by targeted sequencing to robustly determine the fetal alleles[31]. 2.4.Shallow-Depth Maternal Plasma DNA Sequencing Data with Maternal Genotype-Based ApproachAs an extended version of FetalQuant,FetalQuant SD[32]was recently developed based on shallow-depth sequencing data coupled with only maternal genotype information.The rationale of this approach is to take advantage of the fact that any alternative allele(non-maternal alleles)present at an SNP locus where the mother is homozygous would theoretically suggest a fetal-specific DNA allele. Briefly,the homozygous sites in a pregnant woman were identified by genotyping her blood cells using microarray technologies.Then,plasma DNA molecules with alleles different from the maternal homozygous sites(i.e.,non-maternal alleles)were identified,which were specifically derived from the father in theory.Thus,the fractions of such non-maternal alleles were hypothesized to correlate with fetal DNA fractions under the assumption that the error rates stemmed from sequencing and genotyping platforms are relatively constant across different cases.Therefore,a linear regression model wasfirst trained between the fraction of non-maternal alleles and actual fetal DNA fraction estimated by parental genotypes-based approach,and then the fetal DNA fractions were predicted with the use of the trained model in an independent validation dataset,exhibiting a very high accuracy(r=0.9950, p<0.0001,Pearson correlation)even using1million sequencing reads.However,the parameters in this model might be varied according to sequencing and genotyping platforms,because various platforms are characterized with different error properties,which may contribute to the measured non-maternal alleles.On the other hand,the extent of heterozygosity might be different in different ethnic groups,which could confound the accuracy of fetal DNA fraction prediction.The advantage of this model is that once thefinal well-trained model is achieved,it could be readily applied to any datasets,as long as they are generated from the same platform and population.2.5.Shallow-Depth Maternal Plasma DNA Sequencing Data-Based ApproachRecently,a new approach,named SeqFF,has been developed,attempting to make it possible to directly estimate fetal DNA fraction from the routine data of NIPT without any additional effort. In this approach,using single-end random sequencing of the maternal plasma,read count within each50KB autosomal region was analyzed tofit a high-dimensional regression model[33].The normalized read counts in50KB bins originating from chromosomes except chromosomes13,18,21, X,and Y were used as predictor variables,and the model coefficients were determined by making use of elastic net(Enet)and reduced-rank regression model[33].SeqFF showed a good correlation with Y chromosome-based method in two independent cohorts(r=0.932and0.938,respectively,Pearson correlation)[33].However,such high-dimensional model would require large-scale samples during training,and the performance appeared to be greatly deteriorated when the fetal DNA fraction isbelow5%,possibly because the number of cases with fetal DNA fraction<5%was not sufficient to train the Enet model.2.6.Fetal Methylation Marker-Based ApproachDNA methylation is a process by which a methyl group is added to cytosine nucleotides[42,43]. In mammalian somatic cells,the DNA methylation of cytosine in CpG dinucleotides is frequently methylated(~70%of the CpGs)[44].Different organs have been suggested to show variable methylation profiles,which would allow us to identify the tissue of origin analyzing the regions with differential methylation states[17,45].Indeed,researchers used the placenta-specific methylation markers to estimate the fetal DNA concentration[26,34].For example,a methylation-sensitive restriction enzyme has been used to digest hypomethylated maternal-derived RASSF1A promoter sequences,while it left the methylated counterparts of the fetal-derived sequences unaffected, thus allowing the discrimination of the methylated fetal DNA molecules from the unmethylated maternal background for the calculation of fetal DNA fraction[34].Similarly,based onfive differentially methylated regions comparing placental tissue and maternal buffy coat mined by using methyl-cytosine immunoprecipitation and CpG island microarrays,Nygren et al.developed a fetal quantitative assay(FQA)permitting the calculation of fetal DNA fraction in a plasma sample[26]. In FQA,by measuring the copy number of total DNA(maternal and fetal)and fetal methylated DNA after methylation-sensitive restriction enzyme digestion,the assay achieved good agreement with Y chromosome-based quantification(r=0.85,p<0.001,Pearson correlation).However,the analytical process used for quantifying these epigenetic markers involves digestion with methylation-sensitive restriction enzymes,and thus its stability needs to be further verified in large-scale datasets generated from different research centers.Furthermore,massively parallel bisulfite sequencing provides an alternative way to estimate the fetal DNA fraction according to the ratio of fetal-derived DNA molecules within differentially methylated regions[35].Using such bisulfite sequencing,the placenta has been demonstrated to exhibit a different methylation profile compared with other tissues[17,35].Therefore,a general approach, referred to as plasma DNA tissue mapping,for disentangling tissue contributors to cell-free DNA has been developed by leveraging the principle that different tissues within the body show different DNA methylation ing whole-genome bisulfite sequencing,the methylation profile of cell-free DNA across over5800DNA methylation markers was used to correlate the tissue-related methylation profiles,for the inference of the proportional contributions from different tissues in plasma[17].Using this new approach,placenta contribution was verified by genotype-based approaches.However,this genome-wide bisulfite sequencing-based tissue mapping algorithm in the present version would be too expensive for routine NIPT.2.7.Cell-Free DNA Size-Based ApproachFetal-derived and maternal-derived DNA molecules in a plasma sample have been observed to exhibit different fragmentation patterns,namely,fetal DNA being generally shorter than maternal DNA[9,46].Therefore,a higher fetal DNA fraction should be theoretically associated with an increased percentage of short DNA ing paired-end sequencing,Yu et al.developed a new method to estimate fetal DNA concentration based on the ratio between the count of fragments ranging from 100to150bp and from163to169bp[36].These size cutoffs gave their optimal performance among multiple size combinations.In the training dataset consisting of36samples,a linear regression model was established between the size ratio and fetal DNA concentration determined by the proportion of chromosome Y sequences(r=0.827,p<0.0001).Then using the derived model,the size ratio was translated to the fetal DNA fraction for each sample in the validation dataset.Intriguingly,the authors also proposed to calculate the size ratio using capillary electrophoresis of sequencing libraries directly, which is readily available before sequencing without additional costs.2.8.Cell-Free DNA Nucleosome Track-Based ApproachRecently,the investigation of nucleosomal origin of plasma DNA has been increasingly recognized as an appealing direction,which has been discussed in a number of studies[9,36,37,47].One important clue directing to such origin has been unravelled in two studies with the use of the high-resolution size profiling of maternal plasma DNA[9,36].It has been reported that the size distribution of the total maternal plasma DNA is characterized by a166bp major peak with a series of small peaks occurring at10bp periodicities,suggesting that a predominant population of plasma DNA molecules have a size of166bp.In contrast,fetal DNA molecules were found to have a dominant population with 143bp in size.It has been speculated that the166bp molecules would represent cfDNA containing the nucleosome core plus the linker[9].However,the143bp molecules would suggest molecules subject to the trimming of linker DNA[9].On the basis of this hypothetical model,Straver et al.pooled maternal plasma DNA from298cases to generate a hypothetical“nucleosome track”[37].Interestingly, the frequency of reads starting within73bp upstream and downstream regions of the inferential center of nucleosome was found to be positively correlated with the fetal DNA fraction,however,giving a relatively lower correlation coefficient than other methods(r=0.636,p=1.61×10−18,Pearson correlation).Thus,further development of a“nucleosome track”-based approach is needed for the clinical requirement.3.ConclusionsThe past decade has witnessed a tremendous advance in the technologies and bioinformatics algorithms for the analysis of circulating cfDNA.With the availability of massively parallel sequencing, noninvasive prenatal testing has become increasingly popular and presented itself as an exemplar in translational medicine research.In NIPT,a rapid,simple,accurate and cost-effective way to estimate fetal DNA fraction is highly desired,typically for the endeavors to make NIPT for single-gene diseases clinically practical.In particular,the accuracy of the estimation of low fetal DNA fraction is essential for determining the QC states and interpreting the clinical outcomes.On the other hand,the fetal DNA fraction could be related to pregnancy outcome;for example,the low fetal DNA fraction may be associated with small or dysfunctional placentas[48],suggesting its potential diagnostic value.Therefore,a large-scale validation for the accuracy of low-fetal DNA fraction estimation would still be needed for some aforementioned approaches,for example,size-,count-and nucleosome profile-based methodologies.We may expect that further in-depth analyses for such properties regarding size and nucleosome profiles would shed new insights into the mechanisms of cell-free DNA generation.As reported in the latest ultra-deep plasma DNA study[49],it was revealed that a number of preferred DNA ends in maternal plasma carry information directing to their tissue of origin(fetal-or maternal-derived DNA).The ratio of the number of fetal-preferred ends to maternal-preferred ends is positively correlated with the fetal DNA fraction in maternal plasma[49].This novel direction of cfDNA exploration regarding fragment ends has opened up new possibilities to study the complexity associated with non-randomness of plasma DNA ends,providing a new way to investigate the highly orchestrated cfDNA fragmentation patterns.More studies are needed to elucidate the relationship between the various factors as well as their interactions,for example,methylation[17],nucleosome footprints[47],and the underlying mechanisms governing the end-cutting patterns of plasma DNA. 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映入眼帘的是一些形状各异的瓶子英语表达的高级表达全文共6篇示例,供读者参考篇1When I Glanced Over, an Array of Intricate Vessels Arrested My GazeAs I ambled into the kitchen this morning, my eyes were instinctively drawn to the cluttered array of containers adorning the counter. At first glance, it appeared to be a seemingly random assortment of variedly shaped receptacles. However, upon closer inspection, I detected an inherent elegance and purposefulness underlying their outward designs. Each vessel possessed its own distinct personality and flair, almost as if it were a sculptural masterpiece deliberately crafted by a skilled artisan.The first item that captured my attention was a tall, willowy bottle composed of sleek, cylindrical glass. Its elongated neck tapered gracefully into a slender stem, evoking the gracile form of a serpentine dancer mid-pirouette. The body flared outwards towards the base, resembling the gentle swell of a bloomingflower bud. This streamlined silhouette exuded an air of refined minimalism and modern sophistication.In stark contrast, a squat, rotund jar demanded my focus next. Its spherical contours reminded me of a plump ripe fruit, heavy with juice and bursting at the seams. The glossy,amber-tinted glass glinted invitingly, as if beckoning me to uncap it and imbibe its sweet, viscous contents. I could almost envision thick rivulets of golden syrup languidly drizzling down its convex flanks.Nestled amongst the other containers was an intricately etched decanter, its multifaceted surface refracting the morning sunlight into a dazzling prism of colors. Each meticulously carved facet caught the light at a subtly different angle, casting an ever-shifting kaleidoscope of geometric patterns across the neighboring bottles. To me, this crystal chalice evoked the lavish opulence and ornate grandeur of a baroque cathedral, every inch embellished with painstaking artistry.My gaze then alighted upon a ruggedly handsome flask composed of mottled, sea-green glass. Its surface was beautifully marred by swirling eddies and organic imperfections that imbued it with an unmistakable rustic charm. I imagined this robust vessel had endured countless journeys and adventures,accumulating a rich patina of character with each passing year. It seemed to beckon me to raise it to my lips and imbibe a bracing draft of some roguish, full-bodied vintage.In the midst of this eclectic congregation, a solitary vase of delicate, hand-blown glass stood apart. Its diaphanous walls were so translucent and gossamer-thin, they appeared almost ethereal and insubstantial – like a fragile soap bubble moments from dissipating into the ether. Gazing into its hollow, crystalline depths, I felt as if I could somehow perceive the very fabric of space and time itself, stretching endlessly into an infinite cosmic continuum. This transcendent objet d'art filled me with an indescribable sense of reverent wonder.Finally, my eyes were drawn to a series of tinted laboratory flasks and beakers clust篇2The Magnificent Menagerie of Multifarious BottlesWhen I gaze upon the assemblage of bottles arrayed before me, a cavalcade of curiosities dances before my eyes. Each vessel is a singular marvel, a sculptural embodiment of form and function that tantalizes the senses and ignites the imagination.Let us commence our exploration with the amphora, that stately bottle whose silhouette harkens back to ancient civilizations. Its curvaceous contours, suggestive of a slender hourglass, exude an air of timeless elegance. The elongated neck tapers gracefully, as if craning to catch a glimpse of the world beyond its confines.Nestled amongst its brethren is the portly demijohn, a rotund and convivial companion. Its plump, globular body beckons with the promise of generous portions, while the slender neck extends upwards, a verdant bottleneck acting as a verdant sentinel. One can almost envision the liquid treasures sloshing merrily within its corpulent depths.Ah, but let us not overlook the sprightly carafe, a lithe and effervescent vessel that seems to dance upon the table. Its slender frame betrays a litheness that belies its capacity to contain, its elongated neck reaching skyward like a graceful swan. With each tilt and pour, it transforms into a fountain of libations, its contents cascading forth in a scintillating stream.Behold the amphora's distant cousin, the alabastron, whose name whispers of ancient Egyptian grandeur. This petite and precipitous bottle, adorned with intricate carvings or pigments,once cradled precious unguents and perfumed oils. Even today, its diminutive stature exudes an air of regal mystique.The squat, robust bottle known as the celandine cuts a striking figure, its stout proportions and broad shoulders lending it an air of stalwart reliability. Its wide mouth gapes invitingly, ready to receive any bounty that might be bestowed upon it. This is a vessel that does not mince words, but rather embraces its earthy, utilitarian charm.And how could we neglect the lithesome flute, that slender, elongated bottle whose graceful lines evoke the mellifluous tones of its musical namesake? Its sleek, cylindrical body tapering to a delicate neck is a study in minimalist elegance, inviting one to caress its smooth surfaces and revel in its understated beauty.But let us not forget the whimsical curvature of the onion bottle, whose bulbous belly swells outward in a delightful, organic embrace. This bottle is a reminder that nature's forms can be as captivating as any human artifice, its gentle undulations evoking the verdant landscapes from whence it might have sprung.As my gaze wanders further, I am transfixed by the angular allure of the cubical bottle, its bold, geometric planes defying theconventions of curvaceousness. This is a vessel that revels in its modernity, its sharp edges and clean lines a testament to the enduring appeal of minimalist design.And what of the serpentine marvel that is the snake bottle, its sinuous curves coiling and undulating in a mesmerizing dance? This bottle is a true sculptural feat, its twisting form inviting one to trace its contours with fingertips, imagining the secrets it might contain within its serpentine depths.Yet, amidst this panoply of shapes and sizes, there is one bottle that stands apart, a true maverick in the realm of vessels. The whimsical, eccentric form of the novelty bottle defies categorization, its unconventional silhouette a playful rebuke to convention. Perhaps it is a whimsical animal shape or a fanciful, abstract design – whatever its guise, it reminds us that the world of bottles is a canvas upon which creativity can run rampant.As I survey this magnificent menagerie, I am struck by the sheer diversity of forms that human ingenuity has conceived. Each bottle is a testament to the boundless creativity of the artisans who crafted them, their shapes and silhouettes a reflection of the cultures, aesthetics, and functional demands that birthed them.But beyond their physical forms, these bottles are vessels of stories untold, repositories of histories and traditions that span centuries and continents. They are time capsules, repositories of memories and moments, waiting to be uncorked and unveiled.So, let us raise a metaphorical glass to the wondrous world of bottles, these unsung guardians of liquid treasures. May their manifold shapes and forms continue to delight and inspire, reminding us that even the humblest of vessels can be a canvas for art, a receptacle for dreams, and a wellspring of endless fascination.篇3A World of Wondrous BottlesAs I gaze upon the array of bottles before me, I'm struck by the sheer diversity of their forms – a veritable kaleidoscope of shapes and silhouettes that captivates the eye and ignites the imagination. It's as if each vessel holds not only its liquid contents, but a universe of artistry and ingenuity waiting to be explored.Let us commence our odyssey with the sleek and streamlined contours of the cylindrical bottle. At first glance, its shape may seem deceptively simple, but upon closer inspection,one can discern the subtleties that elevate it beyond mere functionality. The parallel lines that run the length of its body exude a sense of order and precision, while the gently curved shoulders lend an air of elegance and refinement.Yet, this is but the prelude to the symphony of forms that awaits us. Behold the amphora, a shape that has graced the tables of civilizations past, its svelte neck tapering gracefully into a rotund body – a silhouette that seems to whisper tales of ancient banquets and revelries long since faded into the annals of history.And what of the curvaceous undulations of the flacon, its sensuous lines evoking the fluidity of a dancer's movements? Each gentle swell and dip is a brushstroke in a masterpiece of design, inviting the eye to trace its captivating contours with rapturous delight.But let us not overlook the whimsical charms of the decanter, a shape that defies convention with its playful twists and turns. Its serpentine neck coils and unfurls, beckoning us to peer into its depths and unravel the mysteries therein. Truly, it is a vessel that revels in its own eccentricity, a delightful departure from the ordinary.And yet, amidst this riot of forms, there stands a bastion of solidity and strength – the mighty demijohn. Its broad shoulders and sturdy base lend an air of indomitable resilience, while its bulbous body whispers of the bounty it can contain. Ah, but let us not be deceived by its robust appearance, for even the mightiest of vessels can conceal a delicate soul within.As our gaze wanders further, we encounter the enigmatic silhouette of the carafe, its graceful curves seeming to defy the very laws of physics. With its slender neck and voluptuous body, it cuts a figure that is at once refined and sensual, inviting us to ponder the depths of its allure.And what of the whimsical charms of the cruet, its diminutive stature belying the boundless potential of its contents? Its petite frame and delicate spout are a testament to the notion that great things can indeed come in small packages, reminding us to never underestimate the power of the unassuming.But perhaps the most captivating of all is the enigmatic silhouette of the flute – a shape that seems to defy gravity itself. Its slender stem rises like a delicate tendril, blossoming into a graceful bowl that beckons us to partake of its nectar. Truly, it is a vessel that embodies the very essence of elegance and sophistication.As our odyssey through this world of wondrous bottles draws to a close, I am left with a profound sense of awe and appreciation for the artistry that has been poured into these humble vessels. Each shape, each curve, each line is a masterclass in design, a testament to the boundless creativity of the human spirit.For in these bottles, we find not mere containers, but canvases upon which the dreams and visions of their creators have been etched – visions that transcend the practical and soar into the realms of pure, unadulterated beauty. And as we raise these vessels to our lips, we partake not only of their liquid treasures, but of the very essence of human ingenuity and imagination.So let us raise a toast to the humble bottle, that unsung hero of our daily lives, for in its myriad forms we find a celebration of the boundless potential of design, a reminder that even the most utilitarian of objects can be elevated to the heights of artistry when viewed through the discerning eye of a true visionary.篇4As I stepped into the dimly lit room, a kaleidoscope of shapes and colors dazzled my eyes. The first objects thatensnared my attention were an assortment of vessels, each one as unique and captivating as the next. They were not mere bottles, but rather sculptural masterpieces that seemed to defy the conventions of form and function.At the forefront stood a towering cylindrical bottle, its elongated silhouette exuding an air of elegance and sophistication. Its surface was adorned with intricate etchings that resembled the delicate lace patterns found on my grandmother's tablecloths. As the soft light danced across its facets, the bottle appeared to shimmer with an ethereal radiance, beckoning me to draw nearer and lose myself in its mesmerizing intricacies.Nestled beside this statuesque figure was a rotund, globular bottle that evoked images of a plump, jolly fellow from a storybook. Its curved sides were smooth and inviting, almost as if they were begging to be cradled in one's embrace. The rounded shape seemed to exude a sense of warmth and comfort, like a cherished childhood teddy bear that had weathered countless nights of tender hugs and whispered secrets.Just beyond this spherical marvel, a cluster of triangular bottles caught my eye, their sharp angles and pointed tops creating a striking contrast against the softer contours of theirneighbors. Each one was a study in precision and boldness, their faceted surfaces refracting the light in a kaleidoscope of brilliant hues. They reminded me of the majestic peaks of a mountain range, their jagged silhouettes standing as sentinels against the vast expanse of the sky.In a shadowy corner, a group of amorphous bottles huddled together, their shapes seeming to shift and morph with every passing moment. Some appeared to be melting, their forms drooping and sagging like candle wax left too long in the sun's embrace. Others resembled twisted vines, their contours winding and undulating in serpentine patterns that seemed to defy the laws of physics. These enigmatic vessels were a testament to the boundless creativity of their creators, challenging my perception of what a bottle could be.As my gaze wandered further, I encountered a series of bottles that appeared to be fashioned from the very fabric of nature itself. One evoked the image of a towering oak tree, its sturdy base tapering upwards into a graceful, twisting trunk that culminated in a crown of delicate branches. Another seemed to mimic the undulating curves of a rolling hillside, its gentle slopes beckoning me to lie down and bask in the warmth of the imaginary sun.In a corner, a cluster of bottles resembled the jagged peaks of a mountain range, their sharp edges and angular forms a stark contrast to the soft, organic shapes that surrounded them. These bottles were a study in geometry and precision, their facets catching the light and refracting it into a dazzling array of colors that danced across the room like a kaleidoscopic ballet.Amidst this choreography of shapes and hues, a solitary bottle stood apart, its form a seemingly impossible fusion of opposing elements. Its base was a solid, grounded cylinder, but as it rose, it blossomed into a series of undulating curves that appeared to defy the laws of physics. This bottle was a living embodiment of the concept of dichotomy, a seamless melding of opposites that challenged my perception of what was possible in the realm of design.As I slowly made my way through this captivating gallery of vessels, I found myself in awe of the boundless creativity and ingenuity of their creators. Each bottle was a unique expression of artistry, a physical manifestation of the human spirit's ability to transcend the boundaries of form and function.篇5From the Lens of a Child: Bottles of Whimsy and WonderAs I ambled into the room, a kaleidoscope of shapes and hues dazzled my curious eyes. An array of bottles, each a unique masterpiece, beckoned me closer with their captivating designs. It was as if a talented artisan had breathed life into ordinary glass, sculpting it into wondrous forms that defied convention.The first bottle that caught my fancy was a rotund fellow, its ample girth reminiscent of a jovial fellow sporting a round belly. Its plump silhouette exuded a sense of joviality, as though it yearned to be cradled in one's arms like a cherished friend. The glass shimmered with a warm amber hue, evoking images of golden sunsets and the rich aromas of autumn leaves.Nestled alongside its portly companion was a willowy beauty, its slender neck stretching skyward with graceful poise. This elegant vessel seemed to dance on delicate feet, its svelte figure swaying gently as if caught in an ethereal breeze. The glass shimmered with a soft, pearlescent luster, evoking visions of moonlit waves caressing sandy shores.Yet another bottle captured my imagination with its undulating curves, reminiscent of rolling hills or the gentle swell of ocean waves. Its sides dipped and swelled in a mesmerizing rhythm, almost as if the glass itself had been sculpted by the ebb and flow of nature's rhythms. A vibrant azure hue adorned thissinuous form, conjuring images of crystalline waters and endless summer skies.Nearby, a cluster of slender, tapered bottles stood erect, their forms reminiscent of regal sentinels standing guard. Each one boasted a narrow neck that flared outward, resembling the trumpets of triumphant heralds. Their gleaming surfaces reflected the world around them, mirroring the room's contents in a kaleidoscope of distorted shapes and colors.One bottle, in particular, caught my eye with its intricate, almost baroque design. Swirling patterns adorned its surface, as if a master glassblower had etched intricate lace into the very fabric of the glass. This ornate vessel seemed fit for a royal court, its elaborate embellishments hinting at tales of grandeur and opulence.Yet, amidst this array of fanciful forms, a humble, unassuming bottle stood out in its simplicity. Its cylindrical shape was unadorned, yet it exuded a quiet elegance, like a zen master radiating serenity. The translucent glass allowed glimpses of the bottle's contents, hinting at mysteries waiting to be unveiled.As I reveled in this captivating display, I couldn't help but marvel at the ingenuity and artistry that had breathed life into these inanimate objects. Each bottle was a masterpiece in its ownright, a canvas upon which the glassblower had painted their unique vision.In that moment, I realized that the world around us is a tapestry woven with beauty and wonder, if only we take the time to appreciate the intricate details. These bottles, once mere vessels for containment, had transcended their humble origins to become objects of fascination and delight.With childlike wonder, I found myself drawn into this realm of shapes and hues, eager to explore the stories each bottle yearned to tell. Perhaps the portly fellow cradled a warm, comforting elixir, while the willowy beauty housed a fragrant bouquet of exotic blooms. The undulating curves might have embraced a vintage wine, its ruby depths holding the secrets of sun-drenched vineyards and the passage of time.As my imagination took flight, I realized that these bottles were not mere receptacles; they were portals into worlds of whimsy and enchantment, inviting us to shed the shackles of adulthood and embrace the boundless curiosity of a child's mind.In that moment, I vowed to carry this sense of wonder with me, to approach each day with the wide-eyed awe of a child discovering the world anew. For in that room of bottles, I hadglimpsed a profound truth – that beauty lies not only in grand vistas and majestic landscapes but also in the humble,oft-overlooked details that surround us.Those bottles, once dismissed as mere containers, had become talismans of joy and wonderment, reminding me to savor the simple pleasures and revel in the magical moments that life presents. With a heart brimming with gratitude, I bid farewell to that captivating array, carrying with me the knowledge that the world is a canvas awaiting our appreciation, and that the true artistry lies in the lens through which we choose to view it.篇6An Enchanting Sight to BeholdAs I skipped merrily down the cobblestone path, my curious gaze was instantly enraptured by a mesmerizing spectacle that adorned the window of the quaint little shop. An eclectic assortment of peculiarly fashioned vessels, each one a unique masterpiece, beckoned to me like a siren's call. Their very existence seemed to defy the laws of physics, as if they had been plucked from the whimsical realms of a fairytale.My eyes danced from one captivating form to the next, each bottle more entrancing than the last. Some were adorned with intricate etchings that resembled the delicate lace of a spider's web, while others boasted vibrant hues that put even the most brilliant of rainbows to shame. There were tall, slender ones that seemed to stretch towards the heavens, and squat, rotund ones that appeared to be the embodiment of jolly contentment.One particular vessel caught my undivided attention, a true masterwork of artistry. Its surface was a kaleidoscope of swirling colors, each hue blending seamlessly into the next, creating a mesmerizing vortex that threatened to draw me in. The curves and angles of its form defied conventional logic, twisting and turning in ways that made my young mind spin with delight.As I pressed my eager nose against the glass, I fancied that I could perceive the faintest hint of exotic fragrances wafting from within those enchanted containers. Perhaps they housed the essences of far-off lands, or the distilled dreams of ancient alchemists. Or, maybe, just maybe, they contained the very essence of magic itself, waiting to be uncorked and unleashed upon the world.My childlike imagination ran wild with possibilities, each more fanciful than the last. In my mind's eye, I could envisionmyself as a brave explorer, embarking on grand adventures with a trusty bottle by my side. Would it grant me the power of flight, allowing me to soar among the clouds like a majestic eagle? Or perhaps it would bestow upon me the ability to commune with the creatures of the forest, unlocking the secrets of their ancient tongues.Alas, my reverie was abruptly shattered by the gentle tug of my mother's hand, urging me onward. Reluctantly, I tore my gaze away from that spellbinding display, but not before silently vowing to return one day and unravel the mysteries that those enigmatic vessels held.For you see, in the wondrous realm of childhood, even the most mundane of objects can take on an air of enchantment. A simple collection of bottles, to the world-weary adult, might be but a fleeting curiosity, but to a child's fertile imagination, it becomes a gateway to realms of pure, unadulterated magic.In those whimsical vessels, I saw not mere containers, but portals to fantastical worlds where anything was possible. They were talismans imbued with the power to unlock the boundless potential of a young mind, inviting me to dream, to explore, and to embrace the infinite wonder of the universe.Even now, years later, whenever I catch a glimpse of an oddly shaped bottle, my heart flutters with the same sense of childlike wonder that captivated me on that fateful day. For in those peculiar forms, I am reminded of the profound truth that magic is not merely the stuff of fairy tales, but a ever-present force that resides within the hearts and minds of those who dare to believe.So, my dear friends, I implore you: never lose that sense of wide-eyed amazement that allows you to perceive the extraordinary in the ordinary. Embrace the magic that surrounds you, for it is that very enchantment that makes life worth living, one captivating bottle at a time.。
介绍七巧板拼出花朵的作文英文回答:Seven-piece Tangram is a traditional Chinese puzzle consisting of seven flat pieces that can be arranged to form various shapes and patterns. It is a popular educational toy that helps develop spatial awareness, problem-solving skills, and creativity. Today, I would like to introduce how I used the Tangram pieces to create a beautiful flower.Firstly, I placed the largest triangle piece on the table, forming the base of the flower. Then, I took two smaller triangles and positioned them on top of the base, creating the petals. The remaining four pieces were used to form the stem and leaves of the flower. By arranging the pieces in different ways, I was able to create various flower designs with different colors and shapes.One of the advantages of using the Tangram pieces tocreate a flower is the flexibility it offers. Since the pieces can be rearranged in numerous ways, I can easily experiment with different designs and patterns. For example, I can create a symmetrical flower by arranging the piecesin a balanced manner. On the other hand, I can also create an asymmetrical flower by placing the pieces in a more random or unconventional way.Another interesting aspect of using Tangram to create a flower is the challenge it presents. It requires careful observation and logical thinking to determine the best arrangement of the pieces. Sometimes, I may need to try different combinations before finding the one that looksthe most like a flower. This process of trial and error not only enhances my problem-solving skills but also encourages me to think creatively.Furthermore, the Tangram flower can be a great tool for teaching geometry and math concepts. By manipulating the pieces, I can explore different geometric shapes such as triangles, squares, and parallelograms. I can also learn about symmetry and spatial relationships. This hands-onapproach to learning makes the subject more engaging and enjoyable.In conclusion, the Seven-piece Tangram is a versatile puzzle that can be used to create beautiful flower designs. It offers flexibility, challenges, and educational benefits. Whether you are a child or an adult, playing with Tangram can be a fun and rewarding experience. So why not give it a try and see what kind of flower you can create?中文回答:七巧板是一种传统的中国益智玩具,由七个平面图形组成,可以拼出各种形状和图案。
凝聚态物理专业导师简介(以姓氏拼音为序)艾保全,男,副教授,硕士生导师。
主研方向是分子马达运动机制、低维材料(纳米)的能量和热的传输、生物非线性噪声效应。
2004年毕业于中山大学,获博士学位。
随后在香港大学及香港浸会大学从事博士后研究工作,2005年9月起华南师范大学教师。
主要从事理论生物物理的研究,包括生物非线性系统中的噪声效应,肌肉运动微观机制,分子马达的运动机制(线性和旋转马达)以及低维材料的热传导等领域的研究。
他以第一作者在Journal of physical chemistry B, Journal of Chemical physics, Physical Review E等 SCI收录国际重要期刊上发表论文32篇。
论文被引用200多次,其中关于肿瘤生长过程中噪声控制的论文被它引50次,关于微管中粒子定向输运的论文被著名综述期刊Reviews Modern of physics引用并介绍我们的相关工作。
主持国家自然科学基金和广东省自然科学基金各一项,并和澳门科技大学,日本产业科技大学以及香港浸会大学等研究组从事合作研究。
主要荣誉:2006年华南师范大学科研优秀工作者.2006年入选广东省“千百十”人才工程培养对象.2005年获得广东省优秀博士学位论文称号.研究兴趣:1.分子马达的研究: 研究分子马达的运动机制,线性分子马达,旋转分子马达,以及分子马达运动方向的控制,效率及其最大值研究,考虑量子效应的分子马达的运动。
2.低维材料(纳米)的能量和热的传输:一维纳米系统中热传导性质的研究及其应用的研究;热二极管,三级管及热(声子)操纵和控制的研究.3.生物非线性系统中的噪声效应: 基因选择过程中的噪声效应; 噪声对肿瘤生长的影响; 细菌生长过程中的噪声效应。
主持科研项目:1.国家自然科学基金2007.1-2009.12,分子马达运动机制的理论研究(旋转).2.广东省自然科学基金2007.1-2008.12,线性分子马达运动机制的基础研究.发表代表性论文(if>2.0)1.Bao-quan Ai and Liang-Gang Liu, Brownian pump in nonlinear diffusive media,The Journal of Physical Chemistry B 112(2008)95402.Bao-quan Ai and Liang-Gang Liu, Phase shift induces currents in a periodictube, Journal of Chemical Physics 126(2007) 2047063.Bao-quan Ai and Liang-Gang Liu, A channel Brownian pump powered by anunbiased external force, Journal of Chemical Physics , 128 (2008)0247064.Bao-quan Ai and Liang-Gang Liu, The tube wall fluctuation can induce a netcurrent in a periodic tube, Chemical Physics, 344 (2008)185-188.5.Bao-quan Ai and Liang-Gang Liu, Thermal noise can facilitate energytransformation in the presence of entropic barriers, Phys. Rev.E 75(2007)061126.6.Bao-quan Ai and Liang-Gang Liu, Reply to comment on correlated noise in alogistic growth model, Phys. Rev. E 77(2008)013902.7.Bao-quan Ai and Liang-Gang Liu, Facilitated movement of inertial Brownianmotors driven by a load under an asymmetric potential, Phys. Rev.E 76(2007)042103.8.Bao-quan Ai and Liang-Gang Liu, Current in a three-dimensional periodictube with unbiased forces, Phys. Rev. E 74(2006) 051114.9.Bao-quan Ai, Liqiu Wang and Liang-Gang Liu, Transport reversal in a thermalratchet, Phys. Rev. E 72, (2005) 031101.10.Bao-quan Ai, Xian-ju Wang, Guo-tao Liu and Liang-Gang Liu, Correlatednoise in a logistic growth model, Phys. Rev. E 67 (2003)022903.11.Bao-quan Ai, Xian-Ju Wang, Guo-Tao Liu, and Liang-Gang Liu, Efficiencyoptimization in a correlation ratchet with asymmetric unbiased fluctuations, Phys.Rev. E 68 (2003)061105.12.Xian-Ju Wang, Bao-quan Ai, Liang-Gang Liu, Modeling translocation ofparticles on one-dimensional polymer lattices,Phys. Rev. E 64, (2001)906-910.13.Bao-quan Ai and Liang-Gang Liu, Stochastic resonance in a stochastic bistablesystem,Journal of Statistical Mechanics: theory and experiment (2007)P02019.14.Bao-quan Ai and Liang-gang Liu,Efficiency in a temporally asymmetricBrownian motor with stochastic potentials, Journal of Statistical Mechanics: Theory and Experiment (2006)P09016.15.Bao-quan Ai, Guo-Tao Liu, Hui-zhang Xie and Liang-Gang Liu, Efficiency andCurrent in a correlated ratchet, Chaos 14(4)(2004)95716.Bao-quan Ai, Liqiu Wang and Liang-Gang Liu, Flashing motor at hightransition rate, Chaos, solitons & fractals 34( 2007 ) 1265-1271.17.Bao-quan Ai, and Liang-gang Liu, Transport driven by a spatially modulatednoise in a periodic tube, Journal of Physics: Condensed Matter 19(2007) 266215.Email:aibq@陈浩,男,教授,硕士生导师。
关于你喜欢的建筑的英语作文大一全文共3篇示例,供读者参考篇1A Towering Marvel: The Awe-Inspiring Architecture of the Burj KhalifaAs a student just beginning my journey into the fascinating world of architecture, I find myself in awe of the incredible feats that humanity has achieved in the realm of construction. Among the many architectural marvels that have captured my imagination, one structure stands out as a true icon of human ingenuity and ambition: the Burj Khalifa, the tallest building in the world.Soaring to a staggering height of 828 meters (2,717 feet), the Burj Khalifa is a testament to the boundless potential of human creativity and engineering prowess. Situated in the heart of Dubai, this architectural masterpiece is a striking symbol of the city's relentless pursuit of innovation and grandeur.From the moment I first laid eyes on the Burj Khalifa's sleek, spiraling silhouette, I was captivated by its sheer magnitude and elegance. The building's design, conceptualized by therenowned architect Adrian Smith, is a perfect fusion of art and science, blending form and function in a harmonious manner.One of the most remarkable aspects of the Burj Khalifa is its structural integrity. To support such an immense height, the building relies on a innovative buttressed core design that incorporates a hexagonal core reinforced by wings that extend from the core and support the exterior cladding. This ingenious system not only ensures the stability of the structure but also enhances its aesthetic appeal, with the wings creating a mesmerizing, spiraling effect.The building's exterior cladding, consisting of reflective glass and aluminum panels, is a marvel in itself. The façade is designed to withstand the harsh desert climate, minimizing heat absorption and maximizing energy efficiency. The intricate patterns etched into the cladding create a captivating interplay of light and shadow, adding depth and dynamism to the overall visual experience.Stepping inside the Burj Khalifa is like entering a world of opulence and grandeur. The interior spaces are meticulously crafted, with attention to detail that is nothing short ofawe-inspiring. From the lavish lobby adorned with marble and intricate water features to the world-class observation decksoffering panoramic views of Dubai, every aspect of the building exudes a sense of luxury and sophistication.Beyond its architectural splendor, the Burj Khalifa is a testament to the power of human determination and collaboration. Its construction required the combined efforts of thousands of skilled workers, engineers, and architects from around the world, all united in pursuit of a common goal: to create a structure that would defy the limits of what was previously thought possible.As I delve deeper into the study of architecture, the Burj Khalifa serves as a constant source of inspiration, reminding me of the boundless potential that lies in the fusion of creativity, innovation, and perseverance. It is a living embodiment of the adage that "the sky is not the limit," challenging us to push the boundaries of what is achievable and to never settle for the ordinary.In my eyes, the Burj Khalifa is not merely a building; it is a symbol of human ingenuity, a beacon of progress, and a testament to the enduring spirit of ambition that drives us to reach ever greater heights. It stands as a reminder that with the right vision, dedication, and collective effort, we can overcomeeven the most daunting challenges and create wonders that will inspire generations to come.As I continue my journey in the field of architecture, I carry with me the lessons learned from the Burj Khalifa – the importance of precision, the power of innovation, and the value of pursuing bold dreams. This towering marvel has instilled in me a deep appreciation for the art of building and a resolute determination to contribute to the creation of structures that not only serve practical purposes but also captivate the human spirit with their beauty and grandeur.篇2My Favorite Building: The Ethereal Beauty of the Dancing HouseAs a wide-eyed freshman stepping onto the prestigious campus of my university, I found myself instantly captivated by the diverse array of architectural marvels that adorned the grounds. Each building seemed to possess its own unique charm, beckoning me to explore its intricacies and unravel the stories etched within its walls. However, amidst this cornucopia of architectural wonders, one edifice stood out as a truemasterpiece, transcending mere bricks and mortar to become a living, breathing embodiment of art – the Dancing House.Nestled in the heart of the vibrant city where my university resides, the Dancing House, also known as the Fred and Ginger Building, is an avant-garde architectural marvel that has captivated my imagination since the moment I first laid eyes upon it. Designed by the legendary architect Vlado Mil unić, in collaboration with the celebrated Canadian-American architect Frank Gehry, this structure is a harmonious fusion of unconventional forms and dynamic lines that seem to defy the very laws of gravity.As I approach the building, my gaze is immediately drawn to its undulating façade, which seems to undulate and sway like two dancers locked in an eternal embrace. The curvaceous lines of the structure are a stark contrast to the rigid, angular buildings that surround it, making it stand out like a visual symphony amidst the urban cacophony. The glass and concrete exterior, adorned with intricate metalwork, reflects the ever-changing play of light and shadow, creating a mesmerizing dance of its own.Stepping inside, I am immediately enveloped in a world of architectural ingenuity. The interior spaces are a seamlesscontinuation of the fluid, organic forms that define the exterior, with sweeping curves and soaring ceilings that seem to defy the constraints of traditional design. The juxtaposition of materials, including warm woods, cool stone, and sleek metal, creates a harmonious symphony of textures and hues, inviting the senses to revel in the building's intricate details.Yet, what truly captivates me about the Dancing House is not merely its physical beauty but the profound symbolism it embodies. This architectural masterpiece is a celebration of movement, a tribute to the art of dance and the human spirit's innate desire to express itself through fluid motion. As I gaze upon its twisting, undulating forms, I cannot help but imagine the graceful movements of two dancers, their bodies intertwined in a passionate embrace, their movements infused with emotion and energy.The Dancing House also serves as a powerful reminder of the transformative power of art and the limitless potential of human creativity. In a world often governed by rigid structures and conventions, this building stands as a defiant testament to the importance of pushing boundaries, challenging norms, and embracing the unconventional. It is a living embodiment of the human spirit's ability to transcend the ordinary and reach for theextraordinary, to create something that not only serves a functional purpose but also ignites the imagination and stirs the soul.As I immerse myself in the study of architecture, the Dancing House serves as a constant source of inspiration, reminding me of the boundless possibilities that await those who dare to dream, to challenge the status quo, and to embrace the beauty of the unconventional. It is a building that not only graces the skyline of the city but also resides within the depths of my creative consciousness, igniting a passion for design that transcends mere utility and aspires to create spaces that evoke emotion, inspire wonder, and elevate the human experience.In a world often consumed by the pursuit of practicality and efficiency, the Dancing House stands as a beacon of artistic expression, reminding us that true beauty lies not in conformity but in the courage to embrace the unconventional, to celebrate the fluidity of movement, and to elevate the human spirit through the transformative power of art and architecture.篇3The Architectural Marvel That Captured My HeartAs a student of architecture, I have been exposed to countless remarkable structures that have left an indelible mark on my appreciation for this art form. However, there is one building that stands out above the rest, a true masterpiece that never fails to leave me in awe. This architectural gem is the Guggenheim Museum in Bilbao, Spain, designed by the legendary Frank Gehry.From the moment I first laid eyes on this building, I was struck by its audacious and unconventional design. Unlike traditional museums that often adhere to rigid, geometric forms, the Guggenheim Bilbao is a daring departure from the norm. Its undulating, organic shapes seem to defy the laws of physics, appearing almost alive and in constant motion.The exterior of the museum is a true spectacle, clad in shimmering titanium panels that reflect the ever-changing play of light and shadow. These panels are meticulously crafted and arranged in a way that creates a mesmerizing, sculptural effect. It's as if the building itself is a work of art, seamlessly blending form and function.Step inside, and the architectural wonders continue to unfold. The atrium is a breathtaking space, soaring to heights that almost make one feel insignificant. Yet, there is a warmthand inviting quality to the space, thanks to the ingenious use of natural light that filters in through strategically placed skylights and windows.One of the most remarkable features of the Guggenheim Bilbao is the way it challenges traditional notions of circulation and spatial organization. Instead of a linear path, visitors are encouraged to explore the museum in a more organic and intuitive manner. Ramps and bridges crisscross the atrium, creating a dynamic and ever-changing perspective on the artworks displayed.As I wander through the galleries, I am constantly struck by the way Gehry has masterfully manipulated space and light. Each room is a unique experience, with its own distinct character and ambiance. Some spaces feel intimate and cozy, while others are grand and awe-inspiring. Yet, there is a cohesive flow that ties everything together, a testament to the architect's skill and vision.Beyond its visual appeal, the Guggenheim Bilbao has also had a profound impact on the city itself. Prior to its construction, Bilbao was a struggling industrial town in need of revitalization. The museum's opening in 1997 ushered in a new era, sparking acultural renaissance that has transformed the city into a thriving tourist destination.This phenomenon, often referred to as the "Bilbao Effect," has become a case study in urban renewal and the power of architecture to breathe new life into a community. The Guggenheim Bilbao has not only enriched the cultural landscape but has also generated significant economic benefits, drawing visitors from around the world and serving as a catalyst for further development and investment.As a student of architecture, I am deeply inspired by the Guggenheim Bilbao and the genius of Frank Gehry. This building has challenged my perceptions of what architecture can be and has pushed me to think beyond the boundaries of traditional design. It has taught me the importance of taking risks, embracing unconventional ideas, and daring to challenge the status quo.Moreover, the Guggenheim Bilbao has instilled in me a deeper appreciation for the impact that architecture can have on a community and its people. It has shown me that great design is not merely about aesthetics but also about creating spaces that inspire, uplift, and foster a sense of pride and belonging.As I continue my studies and embark on my own architectural journey, the Guggenheim Bilbao will forever serve as a beacon, reminding me of the boundless possibilities that exist when creativity, innovation, and a bold vision converge. It is a true masterpiece, a testament to the power of architecture to transcend mere functionality and become a work of art that captivates the soul.。
托福写作真题及解析2022年托福阅读真题及解析1托福阅读第一篇欧洲人口增加原文回顾:欧洲经济发展相关,工业化和食物的增长促进了人口的增长。
高速城市化:人们开始从乡下往城镇转移,因此带来了工作,生活资料等一系列的变化。
细节讲到了熟练工和普通人的区别,考了两个题。
最后讲到了人口的增加导致人均工资下降的问题。
学习:After a century of virtually no population growth, the countries of Western Europe experienced dramatic population increases between 1750 and 1800. Many countries doubled in size. In some countries, the growth continued through the nineteenth century. The population of Great Britain, for instance, doubled between 1750 and 1800 and then tripled between 1800 and 1900.There were several reasons for the sudden increase. Medical advances and improved hygiene limited the devastation caused by epidemic diseases and plagues. The introduction of new food crops, most notably the potato, provided a better diet for thepoor and reduced the incidence of famine. The combination of greater public order and fewer civil wars meant that life was less hazardous. The net result was a lower death rate and soaring populations.The growing population, with a rising proportion of children to raise and older people to care for, put increased pressure on every aspect of society. Many peasants were no longer able to provide land for their children, who were forced to look for other ways to make their living. Small artisans in the cities suffered similar problems, unable to provide places for their children in their own workshops.The exact relationship between population growth and industrialization is unclear, though the two are clearly intertwined. (Even countries that were late to industrialize shared in the general population increase, and its related problems.) What is clear is that the growth in population increased the demand for both food and manufactured goods and provided an abundance of cheap labor to produce them.托福阅读第二篇非洲铁技术的发展原文回顾:非洲铁的发展,非洲曾经是被殖民的地方,殖民者大量开采非洲的铁矿资源,并且他们在非洲大规模的用铁矿资源冶炼金属,牵扯到起源,谁把铁的技术引进非洲,以及铁技术之后的发展和改变。
冯康的计算数学人生(Feng Kang's computational mathematicslife)Mathematical calculation of Feng Kang's lifeRui FengBroad professional foundationFeng Kang's college career striking one snag after another attention. As professor Lax said "Feng Kang for the early education of physics and mathematics, electrical engineering, he later formed in this background subtly." A good question. As an applied mathematician, basic engineering and physics is very important. Feng Kang's experience can be said to be the most ideal cultivation of applied mathematicians, although this is not a selection and arrangement of consciousness, but inadvertently touch on.Feng Kang with his family moved to Fujian in autumn 1938, half the study at home, reading is the "general physics, Bendong. Concordia College Department of mathematics and physics, the spring of 1939 to attend the Shaowu in northwestern fujian. The summer of 1939 and was admitted to the Department of electrical engineering of Centre College. This may be related to the trend of the times. Electrical engineering is considered to be the most useful, is the best way. When the students rush, become the most intense competition the most difficult test of the department. He is also young ambition, is more difficult to test, the more you want to try. In addition, the eldest brother Feng Huan (he is the Department of electrical engineering of CentreCollege graduates) effect is also a possible factor. So he won first prize in the motor admitted to the Department of.After school gradually feel engineering seems to be enough flavor, not satisfy his hunger in the mind. So I want to turn from the target of science and engineering, Department of physics. Because the time is too late, to the second grade has not been turned into, resulting in and read the two-line situation, at the same time practicing and physics department majors in electrical engineering. The burden is very heavy, have adverse effects on the body, has shown signs of spinal tuberculosis. From the good aspect, so his engineering training is complete.In grade three or four, he will almost read all main courses in the Department of physics and Department of mathematics. In this process, his interest from the physical to the math up. It is worth noting that the abstract mathematical climax (Bouba 40s when ki school as its representative), this trend has also spread mathematical science students interested in Chinese University, they have unrealistic knowledge on "snobbish", science than engineering, the highest status in science and mathematics, mathematics itself is more abstract the better. Feng Kangzhi by turn, from the physical and mathematics in mathematics tend to pure mathematics, it is a manifestation of this trend. He's making a circle in the subject, he later applied mathematics to the direction of development, there are great benefits. Just imagine if directly into the Department of mathematics, although also required some physical courses, because of psychological obstacles mentioned above, will have little effect, so not to mention the engineering physics. Thecurrent university professional voice and broaden the rampant, Feng Kang's case this can give some enlightenment.Feng Kang at the University of reading in spinal tuberculosis, soon, because no money is ill in hospital, home. From May 1944 to September 1945, this is the most difficult period in his life. In bed he still diligently learning the classics of modern mathematics, which I personally handled in the library of Springer publishing to the yellow book, a large number of ten, this, as I recall, a set of Hausdorff theory, Artin algebra, in addition to surface buy copy books, such as Weyl "the classic group" Pontryagin "topological group". Feng Kang and addicted to them, and this is not tired, make him forget the immediate pain and dangerous environment around. The mathematics of the Liberaleducation, both to further consolidate the foundation, and the contemporary new development together, make him to modern mathematics understanding and on a higher level. The summer of 1946, the wound was miraculously healed, able to stand up, then he went to teach at Fudan University, he still unremittingly to learn.A mathematician growth pathThis stage of graduate students and postdocs equivalent to ordinary people from 1947 to 1957. At the beginning of 1947, Feng Kang to teach at Tsinghua University, it is no longer a person's self,In mathematics seminar has been Chen Shengshen, Hua Luogeng and other masters teachings. 1951 to the Soviet Steklov Institute study, his mentor is a world renowned mathematician Pontryagin.By so many mathematics master personally guide, is extremely rare opportunity. This period also published some papers such as Feng Kang "minimum almost periodic topological groups", that he has the ability of mathematical research.The Soviet Union came back, and focus on the generalized function theory, because physicists used delta function, conventional electrical engineer calculus, although effective, but the lack of solid foundation of teaching. The distribution of Schwartz on a make up this defect, the generalized functions, came into being. Schwartz work to get the praise of Feng Kang, then to write lengthy review articles, and began to work in this field. By 1957, Feng Kang is already a mature mathematician. The research work has been more prominent is a master hand's first small display, he has the extraordinary taste of mathematics that vision, ability or appreciation. But we must admit that in pure mathematics in Feng Kang has yet to give full play to its strengths, achievements is not rich and prominent, to accumulate steadily impression.In 1957 as a result of the need, he will be transferred to engage in computational mathematics, entered this new field, for him, both challenges and opportunities. As a result, his advantage, well versed in physics and engineering can be brought into full play, and pure mathematics literacy and distinguishes him from the other applied mathematician. Also, this is a new interdisciplinary science, the ability to completely open, no matter the "authority", like a piece of paper, unlimitedpermission to draw the most beautiful picture. Obviously, open up new areas, not only need strong working ability, and has high recognition ability, both of which haveFeng Kang, finally makes him a "master master eye is high". Of course, this requires hard work, not only to learn, but also training and training troops, an excellent work team.The two major scientific breakthroughMake a major breakthrough in science, is often scarce. Vision, ability and opportunity, the three indispensable. Feng Kang has made two major scientific breakthrough in life, is very valuable, is worth a great book. One is 1964 - 1965 years independently create a finite element method and established the mathematical foundation; two is the symplectic algorithm created in 1984 after the Hamilton system and its development. The current scientific innovation problem has become the focus of discussion, may wish to Feng Kang this two breakthrough as scientific innovation cases, in particular, the two breakthroughs are found in China land by China scientists. Careful analysis of the case, still needs to. I can only focus on this problem, talk about some layman.Of note, it has been able to achieve two breakthrough, not only in mathematics due to Feng Kang, and he is also proficient in classical physics and engineering technology is closely related with. Scientific breakthroughs often has the characteristics of interdisciplinary. Another point needs to be emphasized is existed in the breakthrough before the incubation period for several years. Need thick plot and quick approach is not desirable. A key task to create a finite element method the opportunity from the state, including the calculation of Liujiaxia dam design. In the face of such a practical problem, Feng Kang with a keen eye to find a basicproblem. He is considering to do routine processing, mathematical physics discrete calculation method consists of four steps: (1) the clear physical mechanism, (2) write mathematical expression, (3) using the discrete model, (4) design algorithm. But on the geometrical and physical conditions of complex problems, the conventional method is not always successful. So he can consider unconventional, not to write differential equations to describe physical phenomena, but starting from the conservation law of physics or the variational principle of discrete model and the appropriate link directly.In the past, Euler Rayl eigh, Ritz, Polya and other masters have considered this approach, but these are in the computer before. According to the characteristics of computer calculation, the variational principle and difference scheme directly links on the formation of the finite element method, it has a wide adaptability, particularly suitable for processing the geometric and physical conditions of complex engineering computing problems. The implementation of this method in 1964, solve practical problems. In 1965, Feng Kang published "a variational principle based on differential format", this thesis is mainly on the basis of the international academic community recognized the independence of our country the development of the finite element method. But very unfortunately, the evaluation of Feng Kang be long in coming contribution, and not enough.In 70s, the finite element method to transplanted from abroad, there are people in the public meeting wantonly sneered "there is such a sheer fallacy, said the finite element method isChinese invention." Will Feng Kang had to shut one's mouth Speechless, the fact is that Feng Kang told me. Later, international exchanges gradually, visiting French mathematician Lions and American mathematician Lax Feng Kang admitted by common consent to the overseas development of independent finite element method helped to break the ice. But this work only won two prize in the 1982 National Natural science. The news that Feng Kang was very sad, this is understandable, because of his scientific achievements appraisal of the vision of Ju Minrui, had intended to be withdrawn, but failed due to various reasons.After the cultural revolution, although he continued in the field of finite element and related work, there are outstanding achievements, such as discontinuous finite element and boundary reduction method, but he also began to explore the next breakthrough in the search for the mark. He paid attention to and understand new trends in mathematics and physics in the border area, reading a lot of literature. There are two introductory review articles can be used as a witness to the search process: "some nonlinear problems in the Mathematical Sciences and" modern "in mathematical physics inverse problem". Later in the Cultural Revolution until 80s, he and I often talk about this problem: mutation theory such as Thom P rigogine, dissipative structure, soliton, Radon transform etc.. This search process, a bit like an eagle hovering in the sky, in the search target, also can be regarded as "the tower alone, looking at the endless road".70s Arnold of classical mechanics, mathematical problems come out, expounds the structure of symplectic Hamiltonianequations, gave him great inspiration, he found a breakthrough. His long-term practice in computational mathematics, he made a deep insight into the same physical laws of different mathematical expression, although physically equivalent; but in the calculation is not equivalent (his students called Feng theorem), this classical mechanics equation, Lagrange equation and Hamilton Newton equation, performance a different pattern in the calculation, because the Hamilton equation with symplectic structure, he was keenly aware of if symmetry can maintain the symplectic geometry in the algorithm, the defect of this kind of algorithm can avoid artificial dissipation, as with high fidelity algorithm. So he opened up a broad road Hamilton system of computational problems, he called Hamilton Avenue (TheHamiltonianway), the calculation of celestial mechanics in orbit, particle accelerators orbit calculation and molecular dynamics calculation has been widely used. This work named the two prize in the National Natural Science Award in 1991 review. Feng Kang was informed that after the withdrawal. Until the end of 1997, after the death of Feng Kang four years, was finally awarded the first prize of the National Natural science.A manFinally, I want to go to people from the theme of science. Feng Kang is a distinguished scientist, but also a great person. His scientific career and his personality are closely related. A person's character from different sides to show: in the eyes of his students, he is good at giving systematic guidance hard to lead them, climb the heights of science mentor; he in the eyes of colleagues, he is the outstanding academic leaders withstrategic vision and to combat.People familiar with him know that his work and his bedroom lights, often not out overnight, is devoted to the research on the people. In Professor Lax's eyes, he is "outrageously independent, no timid, upright and outspoken person". This remark won my heart, the most talked about the nature of Feng Kang's character in question. I think the idea was "the spirit of independence, freedom of thought" (this is Chen Yinque on Wang Guowei's comments). And he nearly seventy years, it gave me the deepest impression. He is not a parrot, with people. A lot of things he has its own views and opinions, there are many is different from the current. On the key issues, "the armed forces can be taken with handsome, man can not be deprived.". From the scientific work to carry out the spirit of life. The following just a few examples to illustrate this point.Feng Kang personally taught by three world-class master of Mathematics: Chen Shengshen, Hua Luogeng and Pontryagin. Totally different style and their field. Three people have the extremely broad research field, as long as the choice of a corner from do research, can make a very good job, a good mathematician. In addition to Feng Kang early topological groups showed a Pontryagin effect, an important work in his mature period are out of contact with anyone, it is his own independent development, truly embodies the spirit of independence, freedom of thought".As is the basic character of Feng Kang's. He very early exposure to Pontryagin, then know this person is a blind person, is full of admiration. After the Soviet Union to worship as a teacher,embodies a kind of hero worship mood. The relationship has been good, after returning to Feng Kang also translated as the Chinese. In early 80s, Pontryagin was involved in the Soviet mathematical community anti Semitic storm, criticized, also lead to dissatisfaction with Feng Kang. This fully reflects the "I love my teacher, love the truth of this selfless noble character.In 80s about how our computer development attracted the attention of the scientific community, have embarked on many discussions. Feng Kang always put forward their views. He believes that the situation changed after the advent of computer, computer development, the future is certainly a computer world. Our country should see this trend, promptly take appropriate measures, focusing on the development of microcomputer. This trend point of view, through the test of history, proved to be correct, has become a consensus. But he was so offended a lot of people. Also many of these cases, but no need to enumerate.On the occasion of the death of Feng Kang in 5th anniversary, was born in 78th anniversary, I think that is particularly worth and recognition lies in the life of Feng Kang embodied in the "spirit of independence and freedom of thought". Everyone is talking about the scientific innovation problem now. Scientific innovation needs the talent to achieve, is yes, most of the people? Or have the spirit of independence, freedom of thought "of the people? The conclusion is certain. Scientific innovation should have a strong academic atmosphere, "or" What I say goes. ", his say, would allow" the spirit of independence, freedom of thought "has become a key issue of China Everbrightplay. Feng Kang left the earth for five years, his scientific heritage for the young generation of scientists as the inheritance and development, his spirit and thought still attracts people's attention, thinking and resonance. He also live in people's hearts!。
欧洲近代画作的意义含义,200字英语作文全文共3篇示例,供读者参考篇1The Profound Impact of European Modern ArtAs a student of art history, I've been captivated by the revolutionary spirit and lasting influence of European modern art movements. These groundbreaking styles challenged long-held traditions, defied conventional notions of beauty, and forever transformed our understanding of artistic expression.At the turn of the 20th century, a seismic shift was underway in the European art world. The Impressionists had already paved the way for a more subjective and expressive approach to painting, capturing the fleeting moments of light and atmosphere. But it was the Post-Impressionists, such as Vincent van Gogh and Paul Cézanne, who truly ushered in a new era of artistic innovation.Van Gogh's bold, impasto brushstrokes and vibrant colors conveyed raw emo tion and intensity, while Cézanne's experiments with geometric forms and multiple perspectives laid the foundation for Cubism. Their fearless departures fromrealism opened the door for a whole new generation of artists to explore uncharted territories of artistic expression.The advent of Fauvism, led by Henri Matisse and André Derain, marked a radical departure from traditional color theory. Their canvases were awash in bold, non-naturalistic hues, expressing emotion and energy rather than adhering to realistic depictions. This liberation of color paved the way for successive movements that challenged artistic conventions even further.Cubism, pioneered by Pablo Picasso and Georges Braque, shattered the traditional concepts of perspective and form. By breaking down objects into geometric shapes and depicting multiple viewpoints simultaneously, these artists revolutionized the way we perceive and represent reality on a two-dimensional surface. Their avant-garde approach opened up a world of possibilities for abstraction and experimentation.The Futurists, led by Umberto Boccioni and Giacomo Balla, celebrated the dynamism and energy of modern life. Their works captured the sensation of movement and speed, reflecting the rapidly changing technological landscape of the early 20th century. By rejecting the static and embracing the kinetic, they challenged our perceptions of time and space within art.Surrealism, spearheaded by Salvador Dalí and René Magritte, delved into the realms of the subconscious and the dreamworld. Their bizarre, enigmatic imagery challenged our notions of reality and forced us to confront the depths of the human psyche. This exploration of the irrational and the unconscious mind expanded the boundaries of artistic expression.Throughout these revolutionary movements, artists sought to capture the essence of their times, reflecting the social, political, and technological upheavals that were reshaping the world around them. Their works served as a mirror, reflecting the anxieties, hopes, and dreams of a rapidly evolving society.European modern art not only transformed the way we create and perceive art but also profoundly impacted our understanding of the world itself. These avant-garde movements challenged us to question our assumptions, embrace new perspectives, and reimagine the boundaries of creativity.As a student, studying these pivotal art movements has been a transformative experience. It has opened my eyes to the power of artistic expression to challenge conventions, provoke thought, and inspire change. The legacy of European modern art continues to reverberate through contemporary art, remindingus that true creativity knows no bounds and that the most profound artworks have the ability to reshape our worldview.篇2The Profound Significance of Modern European ArtWhen we study the paintings of modern European artists, we unlock a rich tapestry of meaning that extends far beyond the canvas. These masterpieces offer a poignant reflection of the social, political, and cultural upheavals that defined the era, capturing the essence of human experience through bold brushstrokes and daring techniques.One cannot discuss modern European art without acknowledging the seismic impact of the Impressionist movement. Pioneered by visionaries like Claude Monet,Pierre-Auguste Renoir, and Camille Pissarro, Impressionism shattered the conventions of traditional painting. These artists embraced the transient play of light and color, eschewing the meticulous attention to detail that had dominated the artistic landscape for centuries. Their canvases vibrated with life, immortalizing fleeting moments and evoking a sense of spontaneity that mirrored the rapidly changing world around them.As Europe hurtled towards the 20th century, a new generation of artists emerged, their works a defiant rebellion against the established norms. The Fauvist movement, spearheaded by Henri Matisse and André Derain, exploded onto the scene with a riot of vivid colors and bold, distorted forms. Their daring paintings challenged the very notion of representational art, evoking raw emotion and drawing inspiration from the untamed beauty of nature.Amidst the turmoil of World War I, the avant-garde movement of Cubism took root, pioneered by the indomitable Pablo Picasso and Georges Braque. These artists deconstructed reality, shattering objects into geometric planes and presenting multiple perspectives simultaneously. Their radical approach mirrored the fragmentation and disillusionment that pervaded society, forcing viewers to reassemble the shattered pieces and confront the complexities of the modern world.As the 20th century progressed, the surrealist movement emerged, a profound exploration of the unconscious mind and the realms o f dreams and fantasy. Artists like Salvador Dalí and René Magritte created otherworldly landscapes that defied logic and invited viewers to question the boundaries of reality. Their works were a poetic rebellion against the constraints ofrationalism, embracing the uncharted territories of the imagination and inviting viewers to confront their deepest fears and desires.Throughout these artistic revolutions, one constant remained: the unwavering determination of European artists to challenge the status quo and push the boundaries of creative expression. Their paintings were not mere decorative objects but powerful statements that reflected the tumultuous times in which they lived. They captured the zeitgeist of their era, giving voice to the hopes, fears, and aspirations of a continent grappling with unprecedented social, political, and technological upheaval.As students of art, we must approach these masterpieces with a keen eye and an open mind. Each brushstroke, each daring composition, holds the power to transport us through time, allowing us to experience the triumphs and tragedies that shaped the modern world. By immersing ourselves in the works of these visionary artists, we gain a deeper understanding of the human condition, the resilience of the creative spirit, and the enduring power of art to inspire, provoke, and transform.In the end, the true significance of modern European art lies not only in its technical mastery or its bold departure fromtradition but in its ability to serve as a mirror, reflecting the complexities of the human experience. These paintings are a testament to the indomitable spirit of artists who dared to challenge the status quo, who fearlessly confronted the demons of their time, and who left an indelible mark on the tapestry of human creativity.篇3The Profound Impact of European Modern ArtModern art emerged in Europe in the late 19th and early 20th centuries, shattering traditional artistic conventions and paving the way for entirely new modes of creative expression. As a student of art history, I find the development of modern art to be truly fascinating and revolutionary. These groundbreaking artistic movements challenged the very notion of what art could and should be, provoking thought and emotion in unprecedented ways.The pioneers of modern art, such as the Post-Impressionists, Fauvists, and Cubists, boldly defied the rigidity of academic standards that had dominated European art for centuries. Artists like Vincent van Gogh, Paul Gauguin, Henri Matisse, and Pablo Picasso rejected the pursuit of naturalistic representation,instead favoring vibrant colors, distorted forms, and unconventional perspectives that conveyed raw emotion and subjective experiences.Van Gogh's swirling brushstrokes and intense hues in paintings like "The Starry Night" and "Sunflowers" evoke a sense of turbulent energy and passion that was unprecedented in art. The Fauves, led by Matisse, embraced a radical use of pure, unmixed colors that seemed to scream off the canvas, igniting an artistic revolution that celebrated emotion over realism. Meanwhile, Picasso's pioneering Cubist works, such as "Les Demoiselles d'Avignon" and "Guernica," shattered traditional perspective and form, dismantling objects into fractured planes that challenged the viewer's perception of reality.These modern art movements were not merely aesthetic experiments; they reflected the social, political, and cultural upheavals of the time. The rapid industrialization, urbanization, and technological advancements of the late 19th and early 20th centuries disrupted traditional ways of life, leading artists to seek new means of expression that captured the complexities and disillusionment of the modern world. Modern art became a powerful vehicle for confronting societal issues, questioningestablished norms, and provoking critical thinking about the human condition.For instance, the Expressionists, such as Edvard Munch and Egon Schiele, used distorted figures and intense colors to convey raw emotions and psychological states, reflecting the anxieties and alienation of modern urban life. The Surrealists, led by Salvador Dalí and René Magritte, delved into the realms of the subconscious and the irrational, challenging perceptions of reality and exploring the depths of the human psyche.Moreover, modern art movements like Futurism and Constructivism embraced the dynamism and technological progress of the modern age, celebrating the power of machines and industrial design. Artists like Umberto Boccioni and Kazimir Malevich created works that embodied the speed, energy, and geometric forms of the machine age, reflecting the optimism and forward-thinking spirit of the time.As a student, I find the impact of European modern art to be profound and far-reaching. These revolutionary artistic movements not only transformed the art world but also influenced other creative disciplines, such as literature, music, and design. Modern art challenged societal norms, sparkedintellectual discourse, and encouraged viewers to question their perceptions of reality and the human experience.Furthermore, the legacy of modern art continues to resonate today, inspiring contemporary artists to push boundaries, experiment with new media, and explore complex themes and ideas. The fearless spirit of innovation and the rejection of artistic conventions that characterized modern art movements have become enduring principles in the art world, empowering artists to constantly redefine the boundaries of creative expression.In conclusion, the significance of European modern art cannot be overstated. These groundbreaking movements challenged traditional artistic conventions, reflected the complexities and upheavals of the modern world, and paved the way for entirely new modes of creative expression. As a student of art history, I am in awe of the profound impact these artistic revolutions have had on our understanding of art, culture, and the human experience. The legacy of modern art continues to inspire and provoke, reminding us of the power of creativity to challenge, question, and ultimately transform our perceptions of the world around us.。
a r X i v :q u a n t -p h /0606098v 1 12 J u n 2006A scheme for unconventional geometric quantum computation in cavity QEDXun-Li Feng,1,2Zisheng Wang,1Chunfeng Wu,1,3L.C.Kwek,1,4and C.H.Oh 11Department of Physics,National University of Singapore,2Science Drive 3,Singapore 1175422State Key Laboratory of High Field Laser Physics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,P.R.China3Institute of Theoretical Physics,Northeast Normal University,Changchun 130024,P.R.China 4Nanyang Technological University,National Institute of Education,1Nanyang Walk,Singapore 637616We present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase by using the two-channel Raman interaction of two atoms in a cavity.We show that the dynamical phase acquired in a cyclic evolution is proportional to the geometric phase acquired in the same cyclic evolution,hence the the total phase possesses the same geometric features as the geometric phase.In our scheme the atomic excited state is adiabatically eliminated and the operation of the proposed logic gate involves only in the metastable states of the atom and hence is not affected by spontaneous emission.PACS numbers:03.67.Lx,03.65.Vf,03.67.PpI.INTRODUCTIONQuantum computation employs the principle of coher-ent superposition and quantum entanglement to solve certain problems,such as factoring large integers and searching data in an array,much faster than a classi-cal computer [1].The basic building blocks of a quan-tum computer are quantum logic gates.It was shown that any quantum computation can be reduced to a se-quence of two classes of quantum gates,namely,universal two-qubit logic gates and one-qubit local operations [2].The standard paradigm of quantum computation is the dynamical one where the local interactions between the qubits are controlled in such a way so that one can en-act a sequence of quantum gates.On the other hand,it has been recognized that the quantum gate operations can also be implemented through the geometric effects on the wave function of the systems,this is the so-called geometric quantum computation [3].Compared with the dynamical gates,the geometric quantum computation possesses practical advantages.It is well known that geo-metric phases depend only on some global geometric fea-tures,and do not depend on the details of the path,the time spent,the driving Hamiltonian,and the initial and final states of the evolution [4].Therefore the geometric quantum computation is largely insensitive to local inac-curacies and fluctuations,and thus provides us a possible way to achieve fault-tolerant quantum gates.In the implementation of geometric quantum compu-tation,one practical question we usually meet is how to remove or avoid the dynamical phases since geomet-ric phases are generally accompanied by dynamical ones which are not robust against local inaccuracies and fluc-tuations.To this end one simple method is to choose the dark states as qubit space,thus the dynamical phase is always zero [5].Another general method is to let the evolution be dragged by the Hamiltonian along several special closed loops,then the dynamical phases accumu-lated in different loops may be canceled,with the geo-metric phases being added [6,7,8].This is the so-called multi-loop scheme.The geometric quantum computation which is based on the cancelation of dynamical phases is referred to as conventional geometric quantum computation.Corre-spondingly several schemes have been presented recently to realize the so-called unconventional geometric quan-tum computation [9,10,11,12].The central idea of the unconventional geometric quantum computation is that for certain quantum evolution of a quantum system of interest one can implement fault-tolerant quantum com-putation by using the total phase accumulated in the evo-lution if it depends only on global geometric features of the evolution.In comparison with conventional geomet-ric gates,unconventional geometric gates do not require additional operations to cancel the dynamical phases and thus simplify the realization operations.Schemes for im-plementing the unconventional geometric gate have been proposed in trapped ion systems [9,10]and in cavity QED systems[11,12].In the schemes of cavity QED systems[11,12],the excited states are utilized as the com-putational bases,thus the spontaneous emission cannot be avoided in such schemes.In this paper we make use of the two-channel Raman interaction in cavity QED [13,15]to realize the un-conventional geometric gate.In our scheme the atomic excited states are adiabatically eliminated and never excited during the quantum gate construction,there-fore atomic spontaneous emission can be avoided in our scheme.II.THEORETICAL MODEL OFTWO-CHANNEL RAMAN COUPLING IN ACA VITYWe consider two identical three-level atoms in Λ-configuration placed in a high-Q cavity.The level struc-ture of the atoms is shown in Fig.1,where |e i ,|g i2FIG.1:The two-channel Raman transition diagram.The detunings δ1and δ2are assumed to be sufficiently large,so that the excited state |c can be eliminated.(i =1,2)are metastable states and |c i is an excited state.The transitions |c i ↔|g i and |c i ↔|e i are supposed to be dipole-allowed.Each atom can be off-resonantly excited via two Raman channels by laser fields and the cavity mode.One channel is excited by two clas-sical external fields E p (t )and E s (t )with the frequencies ωp and ωs ,respectively.The second channel contains a classical external field E g (t )with a frequency ωg and a quantized cavity field of frequency ωc .Both channels are assumed to satisfy the usual Raman resonance,that is,ωp −ωs =ωg −ωc =ω0,where ω0is the energy difference between levels |e and |g .The electric field operator ofthe cavity mode can be expressed as E c =k (a +a †)−→e λ,where a and a †are respectively the annihilation and cre-ation operators,−→e λis the polarization vector and k is aconstant determined by the quantization volume.In the case that the detunings δ1and δ2are sufficiently large,the atomic excited state |c can be adiabatically elimi-nated and we can obtain an effectiveHamiltonian1.The detunings δ1and δ2are assumed to be sufficiently large,so that the excited state |c can be eliminated.H (t )=2 j =1r (t )σ+j +r ∗(t )σ−j +2 j =1g (t )aσ+j +g ∗(t )a †σ−j ,(1)where σ+=|e g |and σ−=|g e |are atomic operators,r (t )and g (t )are respectively the effective classical and quantum couplings and they take the following formr (t )=−c |−→d |g ·−→E p (t )e |−→d |c ·−→E ∗s (t )δ2.(3)Here i |−→d |j (i,j =g,e,c )denote the atomic dipole ma-trix elements.From above equations it is easy to notethat the effective coupling parameters r (t )and g (t )can be controlled by adjusting the driving light fields.Based on such a feature of the Hamiltonian (1)a scheme to gen-erate arbitrary quantum states of the cavity fields was proposed [13].Now we further make the following transformation on the Hamiltonian (1)H I =exp (iH 0t )2 j =1g (t )aσ+j+g ∗(t )a †σ−j exp (−iH 0t ),(4)where H 0=2j =1r (t )σ+j+r ∗(t )σ−j.For simplicity,we assume r (t )is real,then H 0=r (t ) 2j =1 σ+j +σ−j .After a simple calculation we obtainH I =12are eigenstates of σxj =σ+j +σ−j with eigenvalues ±1,respectively.In the strong effective classical driving regime r (t )≫|g |,the terms in Eq.(5)which oscillate with high frequencies can be eliminated in the rotating-wave approximation,and Eq.(5)can thus be simplified asH eff=12g (t )a +g ∗(t )a † (σx1+σx 2).(6)Similar Hamiltonians have been derived in the stronglydriving Jaynes-Cummings model [14]and the two-channel Raman interaction in cavity QED [15].In com-parison with the trapped-ion model proposed to realize the unconventional geometric quantum computation [10],the Hamiltonian in our model is of a similar form to that of the trapped-ion model.In the next section we will show how to construct an unconventional geometric two-qubit phase gate based on the above Hamiltonian.III.UNCONVENTIONAL GEOMETRIC TWO-QUBIT PHASE GATEWe choose the eigenstates of σxj (j =1,2),that is,|± j =(|g j ±|e j )/√2g (t )a +g ∗(t )a †×diag[λ++,λ+−,λ−+,λ−−],(7)3where λkl (k,l =+,−)are the eigenvales of (σx 1+σx2)and λ++=−λ−−=2,λ+−=λ−+=0.The time evolution matrix U (t )is thus diagonalU (t )=diag [U ++(t ),1,1,U −−(t )],(8)where the diagonalmatrix elements U kl (t )can be derivedfrom Eq.(7),U kl (t )=ˆTe −i 12λkl[g (t n )a +g ∗(t n )a †]∆t ,=limN →∞Nn =1D [∆αkl (t n )],(9)where ˆTis the time ordering operator,∆t =t/N is the time interval,and ∆αkl (t n )=−i 12λkl g ∗(t )dt.(11)For a closed path c ,U kl (t )=e iγkl D (0)=e iγkl .Here γkl isthe total phase acquired by the state |k 1|l 2(k,l =+,−)in the cyclic evolution from t =0to t =T .The total phase γkl consists of two parts,one part is geometricphase γgkl ,and the other part is the dynamical phase γd kl [4].According to the coherent-state path integralmethods [10,16,17],the geometric phase γgkl and thedynamical phase γdkl can be calculated in the following wayγg kl =i2λklt 0g ∗(τ)dτ.(15)Substituting Eq.(7)and Eq.(15)into Eq.(14),we getH kl (α∗kl ,αkl ;t )=−i 4λ2kl G (t ),(16)here for the sake of simplicity we have set G (t )=g (t ) t 0g ∗(τ)dτ−g ∗(t ) t0g (τ)dτ.With Eq.(15)and Eq.(16),the geometric phase γgkl and the dynamical phase γdkl can be calculated according to the formulas (12)and (13),γg kl =−i 4λ2klTG (t )dt,(18)and the total phase is given byγkl =γg kl +γdkl =i2γdkl =−γg kl .(20)The relations between the total phase γkl ,the dynamicalphase γdkl and the geometric phase γg kl indicate that in the system examined here the total phase γkl and thedynamical phase γdkl possess the global geometric featuresas the the geometric phase γgkl does.Therefore the cyclic evolutionU (T )=diag e iγ,1,1,e iγ(21)with γ=i2TG (t )dt can be achieved.It is worth noting that in our scheme the atomic excited state is adiabatically eliminated and never populated.The 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