Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model

丘赛计算与应⽤数学考试⼤纲原⽂地址：Computational MathematicsInterpolation and approximationPolynomial interpolation and least square approximation; trigonometric interpolation and approximation, fast Fourier transform; approximations by rational functions; splines.Nonlinear equation solversConvergence of iterative methods (bisection, secant method, Newton method, other iterative methods) for both scalar equations and systems; finding rootsof polynomials.Linear systems and eigenvalue problemsDirect solvers (Gauss elimination, LU decomposition, pivoting, operation count, banded matrices, round-off error accumulation); iterative solvers (Jacobi, Gauss-Seidel, successive over-relaxation, conjugate gradient method, multi-grid method, Krylov methods); numerical solutions for eigenvalues and eigenvectorsNumerical solutions of ordinary differential equationsOne step methods (Taylor series method and Runge-Kutta method); stability, accuracy and convergence; absolute stability, long time behavior; multi-stepmethodsNumerical solutions of partial differential equationsFinite difference method; stability, accuracy and convergence, Lax equivalence theorem; finite element method, boundary value problemsReferences:[1] C. de Boor and S.D. Conte, Elementary Numerical Analysis, an algorithmicapproach, McGraw-Hill, 2000.[2] G.H. Golub and C.F. van Loan, Matrix Computations, third edition, JohnsHopkins University Press, 1996.[3] E. Hairer, P. Syvert and G. Wanner, Solving Ordinary Differential Equations, Springer, 1993.[4] B. Gustafsson, H.-O. Kreiss and J. Oliger, Time Dependent Problems and Difference Methods, John Wiley Sons, 1995.[5] G. Strang and G. Fix, An Analysis of the Finite Element Method, second edition, Wellesley-Cambridge Press, 2008.Applied MathematicsODE with constant coefficients; Nonlinear ODE: critical points, phase space& stability analysis; Hamiltonian, gradient, conservative ODE's.Calculus of Variations: Euler-Lagrange Equations; Boundary Conditions, parametric formulation; optimal control and Hamiltonian, Pontryagin maximum principle.First order partial differential equations (PDE) and method of characteristics; Heat, wave, and Laplace's equation; Separation of variables and eigen-function expansions; Stationary phase method; Homogenization method for elliptic and linear hyperbolic PDEs; Homogenization and front propagation of Hamil ton-Jacobi equations; Geometric optics for dispersive wave equations. References:W.D. Boyce and R.C. DiPrima, Elementary Differential Equations, Wiley, 2009 F.Y.M. Wan, Introduction to Calculus of Variations and Its Applications, Cha pman & Hall, 1995G. Whitham, "Linear and Nonlinear Waves", John-Wiley and Sons, 1974.J. Keener, "Principles of Applied Mathematics", Addison-Wesley, 1988.A. Benssousan, P-L Lions, G. Papanicolaou, "Asymptotic Analysis for Periodic Structures", North-Holland Publishing Co, 1978.V. Jikov, S. Kozlov, O. Oleinik, "Homogenization of differential operators and integral functions", Springer, 1994.J. Xin, "An Introduction to Fronts in Random Media", Surveys and Tutorials in Applied Math Sciences, No. 5, Springer, 2009。

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NATURE NEUROSCIENCENAT REV CANCER NATURE REVIEWS CANCERNAT REV DRUG DISCOV NATURE REVIEWS DRUG DISCOVERYNAT REV IMMUNOL NATURE REVIEWS IMMUNOLOGYNAT REV NEUROSCI NATURE REVIEWS NEUROSCIENCENEUROLOGY NEUROLOGYNEURON NEURONNEUROPSYCHOPHARMACOL NEUROPSYCHOPHARMACOLOGYNEUROSCI BIOBEHAV R NEUROSCIENCE AND BIOBEHAVIORAL REVIEWSNEW ENGL J MED NEW ENGLAND JOURNAL OF MEDICINEOBES REV Obesity ReviewsONCOGENE ONCOGENEPHARMACOL REV PHARMACOLOGICAL REVIEWSPHARMACOL THERAPEUT PHARMACOLOGY & THERAPEUTICSPHYSIOL REV PHYSIOLOGICAL REVIEWSPHYSIOLOGY PHYSIOLOGYPLOS MED PLOS MEDICINEPROG NEUROBIOL PROGRESS IN NEUROBIOLOGYPROG RETIN EYE RES PROGRESS IN RETINAL AND EYE RESEARCHPSYCHOL BULL PSYCHOLOGICAL BULLETINPSYCHOL REV PSYCHOLOGICAL REVIEWREV MED VIROL REVIEWS IN MEDICAL VIROLOGYSCHIZOPHRENIA BULL SCHIZOPHRENIA BULLETINSEMIN CANCER BIOL SEMINARS IN CANCER BIOLOGYSEMIN IMMUNOL SEMINARS IN IMMUNOLOGYSTEM CELLS STEM CELLSSTROKE STROKETHORAX THORAXTRENDS COGN SCI TRENDS IN COGNITIVE SCIENCESTRENDS ENDOCRIN 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APPL PHYSIOL JOURNAL OF APPLIED PHYSIOLOGYJ CLIN ENDOCR METAB JOURNAL OF CLINICAL ENDOCRINOLOGY AND METABOLISM J CLIN MICROBIOL JOURNAL OF CLINICAL MICROBIOLOGYJ COMP NEUROL JOURNAL OF COMPARATIVE NEUROLOGYJ IMMUNOL JOURNAL OF IMMUNOLOGYJ INFECT DIS JOURNAL OF INFECTIOUS DISEASESJ MED CHEM JOURNAL OF MEDICINAL CHEMISTRYJ NEUROCHEM JOURNAL OF NEUROCHEMISTRYJ NEUROPHYSIOL JOURNAL OF NEUROPHYSIOLOGYJ NUTR JOURNAL OF NUTRITIONJ PHARMACOL EXP THER JOURNAL OF PHARMACOLOGY AND EXPERIMENTAL THERAPE J PHYSIOL-LONDON JOURNAL OF PHYSIOLOGY-LONDONJ UROLOGY JOURNAL OF UROLOGYJ VIROL JOURNAL OF VIROLOGYKIDNEY INT KIDNEY INTERNATIONALNEUROIMAGE NEUROIMAGENEUROSCIENCE NEUROSCIENCEPEDIATRICS PEDIATRICSRADIOLOGY RADIOLOGYTRANSPLANTATION TRANSPLANTATIONVIROLOGY VIROLOGYNATURE NATUREP NATL ACAD SCI USA PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES SCIENCE SCIENCEANN NY ACAD SCI ANNALS OF THE NEW YORK ACADEMY OF SCIENCESISSN大类名称复分大类分区是否top期刊2009年影响因子1680-7316地学1Y 4.881 0003-0007地学1Y 6.123 0930-7575地学1Y 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非加压、非膜法脱盐
佚名
【期刊名称】《化工环保》
【年(卷),期】2011(31)6
【摘要】一项历时9个月的现场试验在美国印第安纳州BTX公司的矿井中进行。

Altela公司的称为AltelaRain 4000的水脱盐系统已被证明可将Marcellus Shale 矿的废水转变成蒸馏水。

该项试验由美国能源部国家能源技术实验室（NETL）资助，试验结果显示，77％的水蒸气可在原位处理，每桶水的平均处理费用比先前所有的常规现场处置方法都低大约20％。

该系统还显著减少了从现场运输废水的需求。

【总页数】1页(P523-523)
【关键词】脱盐系统;国家能源技术实验室;美国能源部;加压;膜法;现场试验;印第安纳州;Shale
【正文语种】中文
【中图分类】TQ116.2
【相关文献】
1.静脉团注法与非加压静脉滴注法在CT增强扫描中应用分析 [J], 李秀梅;安美术
2.非探头加压式弹性应变率比值法对乳腺癌的诊断价值 [J], 李昶田;李俊来;李娟;李楠;余美琴;唐杰
3.止血海绵非加压包扎法对尿道下裂术后切口预后的影响 [J], 李春景;刘国庆;王剑锋;张世林;朵永福;李杰荣
4.静脉团注法与非加压静脉滴注法在CT增强扫描中应用分析 [J], 安美淑;李秀梅;尹鹏
5.非加压法静脉肾盂造影方法的评价与临床价值 [J], 何锦江;罗小平;罗银灯
因版权原因，仅展示原文概要，查看原文内容请购买。

不可压缩非牛顿流体的弱解
王文
【期刊名称】《南京大学学报：数学半年刊》
【年(卷),期】2003(020)002
【摘要】本文讨论了不可压缩非牛顿流体初边值问题解的存在唯一性．改进了文[2]，[3]的结果．
【总页数】13页(P203-215)
【作者】王文
【作者单位】徐州工程学院（筹）,徐州221008
【正文语种】中文
【中图分类】O175.8
【相关文献】
1.不可压缩非牛顿流体非定常流动的初边值问题 [J], 王文
2.不可压缩非牛顿流体的弱解 [J], 王文
3.在局部一致空间中的非自治不可压缩非牛顿流体 [J], 赵永杰;钟承奎
4.一类非稳态不可压非牛顿流体方程组的弱解存在惟一性 [J], 高海亮;容跃堂
5.三维不可压缩非牛顿流体/Vlasov方程组的大时间行为 [J], 朱欢;方莉
因版权原因，仅展示原文概要，查看原文内容请购买。

超级人造微血管
佚名
【期刊名称】《微循环学杂志》
【年(卷),期】1992(002)002
【摘要】日本“东丽纺织”公司利用特种化学纤维制成了超级细人造微血管，已供给美国的医科大学临床使用，证明对于动脉闭塞症病人有效。

【总页数】1页(PF003)
【正文语种】中文
【中图分类】R331.35
【相关文献】
1.“潘多拉魔盒”中的超级恶魔——人造“自然武器”发展全球大比拼浅谈 [J], 彭小龙;郭翔;宗刚;王红武;赵曙东;刘杰;郭相春;张昌令
2.超级微血管成像技术在甲状腺实性结节良恶性鉴别诊断中的应用价值 [J], 刁雪红;詹嘉;陈林;朱隽;钟春燕;陈悦
3.超级微血管成像技术运用于甲状腺实性结节良恶性鉴别诊断中的价值分析 [J], 杨海霞;张琳;李红阳
4.上海交大上线超级计算机“π”系统——将用于支持俗称“人造太阳”的惯性约束核聚变项目等高端科研工程 [J], 马伟
5.超级人造肌肉 [J],
因版权原因，仅展示原文概要，查看原文内容请购买。

专利名称：抑制一氧化氮合酶降解和高血压的多肽及其应用专利类型：发明专利
发明人：周家国,梁思佳,吕晓飞,商金艳,章斐然
申请号：CN201910149656.2
申请日：20190227
公开号：CN109824758B
公开日：
20220422
专利内容由知识产权出版社提供
摘要：本发明公开了抑制一氧化氮合酶降解和高血压的多肽及其应用，属于抗高血压药物研发领域。

本发明多肽通过与eNOS相互结合，抑制eNOS泛素化降解，改善内皮依赖性舒张反应，稳定血压。

另外，本发明所设计的多肽具有序列短、易于合成的优点，作为新型抗高血压药物具有良好的应用前景。

申请人：中山大学
地址：510000 广东省广州市新港西路135号
国籍：CN
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心血管重塑及其血浆胶原标志物
邓玮
【期刊名称】《心血管病学进展》
【年(卷),期】2010(31)4
【摘要】众多心血管疾病(如扩张型心肌病、冠心病、心力衰竭等)及其危险因素(糖尿病、肥胖等)涉及心血管重塑和心脏纤维化.胶原及前胶原末端肽、基质金属蛋白酶、基质金属蛋白酶组织抑制剂作为血浆胶原标志物,能协助评估心血管重塑程度及预后.
【总页数】4页(P552-555)
【作者】邓玮
【作者单位】重庆医科大学附属第二医院老年病科,重庆,400010
【正文语种】中文
【中图分类】R541.4
【相关文献】
1.心血管疾病的胶原重塑及其干预研究 [J], 彭林林;吴强
2.血浆三种标志物变化在晚期心力衰竭患者心血管事件预测中的初步分析 [J], 张荣成;张宇辉;张健;黄燕;郭潇;王运红;安涛;周琼;赵雪梅
3.血清胶原生物标志物对急性心肌梗死病人PCI术后不良心血管事件的预测价值[J], 朱自强; 王磊; 于丽
4.不同强度的定期血浆单采对供者体液和细胞免疫、红细胞和铁代谢及心血管危险标志物的影响 [J], 李喆
5.美国临床生化科学院检验医学实践指南:心血管疾病和卒中一级预防中新的生物标志物第3章炎症生物标志物和心血管疾病危险 [J], Mary Cushman;Christie M.Ballantyne;Daniel Levy;Nader Rifai;Gerald R.Cooper;Gary L.Myers;梁红艳;王腾姣;姜晓峰;郑芳;鄢盛恺
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试题:(复旦大学)2002年生物化学试题2007年07月02日16:11 来源:考研教育网一、是非题(1/30)1.天然蛋白质中只含19种L-型氨基酸和无L/D-型之分的甘氨酸达20种氨基酸的残基。

( )2.胶原蛋白质由三条左旋螺旋形成的右旋螺旋,其螺旋周期为67nm( )3.双链DNA分子中GC含量越高,Tm值就越大( )4. a-螺旋中Glu出现的概率最高,因此poly(Glu)可以形成最稳定的a-螺旋( )5.同一种辅酶与酶蛋白之间可由共价和非共价两种不同类型的结合方式( )6.在蛋白质的分子进化中二硫键的位置的到了很好的保留( )7. DNA双螺旋分子的变性定义为紫外吸收的增加( )8.有机溶剂沉淀蛋白质时,介电常数的增加使离子间的静电作用的减弱而致( )9. RNA由于比DNA多了一个羟基,因此就能自我催化发生降解( )10. RNA因在核苷上多一个羟基而拥有多彩的二级结构( )11.限制性内切酶特制核酸碱基序列专一性水解酶( )12. pH8条件下,蛋白质与SDS充分结合后平均每个氨基酸所带电荷约为0.5个负电荷( )13.蛋白质的水解反应为一级酶反应( )14.蛋白质变性主要由于氢键的破坏这一概念是由Anfinsen提出来的( )15.膜蛋白的二级结构均为a-螺旋( )16.糖对于生物体来说所起的作用就是作为能量物质和结构物质( )17.天然葡萄糖只能以一种构型存在,因此也只有一种旋光度( )18.人类的必须脂肪酸是十六碳的各级不饱和脂肪酸( )19.膜的脂质由甘油脂类和鞘脂类两大类脂质所组成( )20.维生素除主要由食物摄取外,人类自身也可以合成一定种类和数量的维生素( )21.激素是人体自身分泌的一直存在于人体内的一类调节代谢的微量有机物( )22.甲状腺素能够提高BMR的机理是通过促进氧化磷酸化实现的( )23.呼吸作用中的磷氧比(P/O)是指一个电子通过呼吸链传递到氧所产生A TP的个数( )24.人体正常代谢过程中,糖可以转变为脂类,脂类也可以转变为糖( )25. D-氨基酸氧化酶在生物体内的分布很广,可以催化氨基酸的氧化脱氨( )26.人体内所有糖分解代谢的中间产物都可以成为糖原异生的前体物质( )27.人体HDL的增加对于防止动脉粥样硬化由一定的作用( )28.胆固醇结石是由于胆固醇在胆囊中含量过多而引起的结晶结石( )29.哺乳动物可以分解嘌呤碱为尿素排出体外( )30. THFA所携带的一碳单位在核苷酸的生物合成中只发生与全程途径( )二、填空题(40分)1.一个典型的分泌蛋白质的信号肽N端1~3个________和C端一段______________组成2.糖蛋白中糖恋的主要作用是____________________3. DNA的Cot曲线是通过测定____________来作图的4.肽链中的甲硫氨酸残基被溴化氰作用后肽链就在_____________被切断,甲硫氨酸残基变成__________________5. Pribnow box是指______________,真核生物中的对应物为________________6.在DNA的样品保存液中一般要加入1mM EDTA,作用为___________和___________7.酶活性测定体系的关键在于____________8.大肠杆菌基因组DNA共300万对碱基,拉成直线长度为_________cm9.形成球蛋白的作用力按其重要程度依次为__________,_________,________和__________10.顺相层析的移动相为________________11.非竞争性抑制的酶反应中Vmax____________,Km______________12.核酸的分子杂交技术是从_____________发展而来的13.某细胞亚器官的膜厚度为7.5nm,存在于该膜上的蛋白质的穿膜部分至少应该由_________个富疏水氨基酸构成。

带有温度梯度的热载荷与声载荷作用下薄板动态响应沙云东;朱林;栾孝驰;张国治;冯飞飞【摘要】With the improvement of the advanced aircraft performance,they are facing increasingly severe aerodynamic heating,noise,mechanical load and so on,under the action of those complex loads,the aircrafts reveal nonlinear vibration characteristics.The aerodynamic heating from supersonic flight induces elevated temperatures that affect material selection and significantly alter structural design practices. Thermal gradients and internal thermal expansion also introduce thermal buckling phenomenon.Here,considering the influence of thermo-acoustic loadings, vibration characteristics of a simply supported plate under thermal loadings with temperature gradient and random acoustic loadings were investigated.According to nonlinear large deflection governing equations for isotropic thin-walled structures undergoing thermo-acoustic loadings,the modal frequencies of the simply supported plate,and its thermal buckling temperature difference with temperature gradient were derived.The dynamic stress response of the simply supported plate under thermo-acoustic loadings were calculated before and after thermal buckling using the FE numerical calculation method,Probabilitydensity,power spectral density,and root mean square of the stress were statistically analyzed in details.%随着先进飞行器性能的提高，它们面临着日益严峻的热、噪声、机械载荷等，在这些复杂载荷的作用下，会引发非线性振动特性。

P—ε—N曲线非线性回归拟合法
徐人平;段小建
【期刊名称】《理化检验：物理分册》
【年(卷),期】1995(031)003
【摘要】由于控制总应变条件下，弹性应变和塑性应变的非唯一性，求解Ｐ－ε－Ｎ曲线是困难的。

本文提出非线性回归方法，对Ｐ－ε－Ｎ曲线进行分析和拟合，简化了测定Ｐ－ε－Ｎ曲线的试验工作量，并可得到较为精确的结果。

【总页数】3页(P38-39,43)
【作者】徐人平;段小建
【作者单位】不详;不详
【正文语种】中文
【中图分类】TB301
【相关文献】
1.非线性回归模型中的约束拟似然 [J], 韩郁葱
2.基于多元非线性回归的科创板拟上市企业估值 [J], 李碧璇; 文欣薇; 柏泽伟; 姜勇
3.基于多元非线性回归的科创板拟上市企业估值 [J], 李碧璇; 文欣薇; 柏泽伟; 姜勇
4.非线性回归模型中的拟Fisher信息 [J], 林路
5.半相依非线性回归方程组中的近似得分函数和拟近似得分函数 [J], 林路
因版权原因，仅展示原文概要，查看原文内容请购买。