01 Matter energy and measurement

大学物理英语教材Unit 1: Introduction to PhysicsPhysics is a fundamental science that explores the laws governing the natural world. By studying physics, we can gain a deeper understanding of how the universe works. This unit serves as an introduction to the subject and provides a foundation for further exploration.Section 1: Basic Concepts1.1 Matter and EnergyIn this section, we learn about the concepts of matter and energy. Matter refers to anything that has mass and occupies space, while energy is the ability to do work. We explore the different forms of energy and their interconversion.1.2 Units and MeasurementsAccurate measurement is essential in physics. Here, we discuss the various units and measurement systems used in physics, such as SI units. We also learn about significant figures and how to perform calculations using them.Section 2: Mechanics2.1 Motion and ForcesThis section delves into the principles of motion and forces. We examine concepts such as displacement, velocity, and acceleration, as well as thevarious types and effects of forces. Newton's laws of motion are also introduced in this section.2.2 Energy and WorkUnderstanding the relationship between energy and work is crucial. We learn about different forms of energy, such as kinetic and potential energy, and how they are related to work. The principle of conservation of energy is also discussed.Section 3: Waves and Optics3.1 Wave PropertiesWaves are an integral part of physics. We explore the characteristics and properties of waves, including wavelength, frequency, and amplitude. This section covers different types of waves, such as sound waves and electromagnetic waves.3.2 OpticsOptics focuses on the behavior of light and its interaction with matter. Topics covered include reflection, refraction, and the formation of images by mirrors and lenses. We also learn about the basics of geometric optics.Unit 2: Electricity and MagnetismElectricity and magnetism are closely related phenomena that have a significant impact on our daily lives. This unit introduces the principles and applications of these concepts.Section 1: Electric Charge and Electric Field1.1 Electric ChargeHere, we learn about the fundamental property of matter known as electric charge. We explore the behavior of charged objects and the principles of electrostatics, including Coulomb's law.1.2 Electric FieldThe concept of an electric field is crucial for understanding how charges interact. We study the properties and behavior of electric fields, including how they are formed and their effects on charged particles.Section 2: Electric Circuits2.1 Current and ResistanceCurrent is the flow of electric charge, and resistance measures the opposition to this flow. We delve into the principles of current, resistance, and Ohm's law, which relates these quantities.2.2 Circuits and Circuit ElementsThis section focuses on electrical circuits and the various components that make them up. We learn about series and parallel circuits, as well as resistors, capacitors, and inductors.Section 3: Magnetism and Electromagnetism3.1 Magnetic FieldsMagnetic fields are responsible for the behavior of magnets and their interaction with other objects. We study the properties and behavior of magnetic fields, including their effects on moving charges.3.2 Electromagnetic InductionThe principle of electromagnetic induction is crucial for understanding the generation of electric currents. We explore Faraday's law and how changing magnetic fields can induce currents in conductors.Unit 3: Modern PhysicsModern physics revolutionized our understanding of the universe, particularly at the atomic and subatomic levels. This unit introduces the key concepts and discoveries of modern physics.Section 1: Quantum Mechanics1.1 Wave-Particle DualityThe wave-particle duality of matter and light is a cornerstone of quantum mechanics. We explore the behavior of particles and waves at the quantum level, including the famous double-slit experiment.1.2 Quantum States and Energy LevelsQuantum systems have discrete energy levels. Here, we learn about quantum states, wavefunctions, and the probabilistic nature of quantum mechanics. We also discuss the Schrödinger equation.Section 2: Particle Physics2.1 Subatomic ParticlesThis section focuses on the properties and classifications of subatomic particles, such as protons, neutrons, and electrons. We also introduce the concept of fundamental particles and their interactions.2.2 Nuclear ReactionsNuclear reactions involve changes in atomic nuclei and release tremendous amounts of energy. We study the principles behind nuclear reactions, including radioactive decay and nuclear fusion.ConclusionThe study of physics is essential for understanding the fundamental laws that govern our universe. This English textbook provides a comprehensive introduction to the subject, covering topics ranging from classical mechanics to modern physics. By studying this textbook and engaging with the content, students can develop a deep appreciation for the beauty and complexity of the natural world.。

核心素养教学目标英文版范文英文回答：1. Core Literacy Competency Teaching Objectives.Reading: To develop students' ability to comprehend and interpret written texts, including literary and informational texts, to make inferences and draw conclusions, and to evaluate and synthesize information.Writing: To develop students' ability to express themselves effectively in writing, to organize their thoughts clearly and coherently, and to use language accurately and fluently.Speaking and Listening: To develop students' ability to communicate effectively through oral communication, to listen attentively, to respond appropriately, and to articulate their ideas clearly and persuasively.2. Core Numeracy Competency Teaching Objectives.Number and Operations: To develop students' understanding of numbers, operations, and their relationships, to apply number and operations to solve problems, and to develop estimation and mental computation skills.Measurement and Data: To develop students' ability to understand and use measurement concepts, to collect, organize, and interpret data, and to use statistical methods to make predictions and inferences.Geometry: To develop students' understanding of geometric shapes, properties, and relationships, to apply geometric reasoning to solve problems, and to visualize and represent geometric concepts.3. Core Scientific Inquiry Competency Teaching Objectives.Scientific Inquiry: To develop students' ability toask scientific questions, to design and conduct scientific investigations, to analyze and interpret data, and to communicate scientific findings.Physical Science: To develop students' understanding of matter, energy, and forces, and their interactions.Life Science: To develop students' understanding of living organisms, their structures, functions, and interactions with their environment.Earth and Space Science: To develop students' understanding of Earth's systems, the processes that shape them, and the interactions between Earth and other objects in the solar system and beyond.4. Core Social Studies Competency Teaching Objectives.History: To develop students' understanding of the past, present, and future, to analyze historical events and their causes and consequences, and to make informed decisions about the future.Geography: To develop students' understanding of the physical and human characteristics of the Earth, to analyze spatial relationships, and to make informed decisions about the use of resources.Civics and Government: To develop students' understanding of the principles and practices of democracy, to analyze political systems, and to make informed decisions about their civic responsibilities.Economics: To develop students' understanding of the production, distribution, and consumption of goods and services, to analyze economic systems, and to make informed decisions about economic policy.5. Core Arts Competency Teaching Objectives.Music: To develop students' appreciation for music, to develop their musical skills, and to understand the role of music in society.Visual Arts: To develop students' appreciation for visual art, to develop their artistic skills, and to understand the role of art in society.Dance: To develop students' appreciation for dance, to develop their dance skills, and to understand the role of dance in society.Drama: To develop students' appreciation for drama, to develop their dramatic skills, and to understand the role of drama in society.中文回答：1. 核心素养教学目标。

假肢与矫形器专业词汇（英语）abdomen anatomical retainer of the intestinesabdominal related to the abdomenabduct to move (a limb) away from the midline of the bodyabducted gait walking with the legs spread away from the midlinemuscleabductor abductingablatio mammae, mastectomy surgical removal of female breastabove elbow (A.E.) prosthesis prosthesis for transhumeral amputationabove the knee (A.K.) prosthesis prosthesis for transfemoral amputation - (AK)abutment counter piece, counter flare, neckacceleration getting continuously fasteracceleration phase sub-phase in the swing phase of gaitinpelvis, receiving the hip jointsocketacetabulum concaveacetone chemical thinner for laquers and paintsAchilles tendon tendon at distal end of calf muscleacrylic resin thermoplastic resin on acrylic basisacute rapid onset or short duration of a conditionadapter device coupling two different endsadduct to move (a limb) toward the midline of the bodyadductor adducting muscleadductor roll medial-proximally located roll oft soft tissue (TF-prosthetics) adhesion contact socket contact socket, type of suction socketadiposity being too large in abdominal and other circumferences, fat ADL's aids for daily livingadolescent juvenile - phase between childhood and adulthoodadultadolescent youngadult “grown up” - beyond adolescenceaetiology reason or factor causing a diseaseAFO ankle-foot-orthosisagonist muscle being active and result-oriented (opposite:antagaonist) aids for daily living (ADL) tools and devices etc.- modified for the disabledair splint orthoses containing an air chamber to customize fitAK (prosthesis) prosthesis after transfemoral amputationAK-socket above knee (transfemoral) socketalignment assembling O&P components referring to a reference system allergy reaction of the immune system against “foreign” matteralloy a mix of metals, changing the specific characteristics aluminum a light metalambulate / ambulation reciprocal walkingambulator a walking frame, supporting a patient's ambulation amputation surgical removal of a body partamputation surgery surgical act of removing a body segment (extremity) analgesia absence of, or insensitivity to pain sensationanalyse, analysis detailed research on components of a wholeanamnesis background of a diseaseanatomical landmarks (bony) prominences, points of importance in O&Panatomy descriptive or functional explanation of the body properties angularity in the shape of an angleangulus sub-pubicus angle of the pubic ramus, important in IC-socketsjointankle tibio-tarsalankle block connector between prosthetic foot and shinankle joint (talus joint) joint connecting foot and shankankle-foot orthosis (AFO) orthosis with functional impact on ankle and footankylosing to unite or stiffen by ankylosisankylosis immobility, posttraumatic fusion of a jointantagonist muscle opposing agonist action, often controllinganterior in front of, the foremostanteversion to bring (a limb) forward, opposite of retroversion anthropometry taking measurements of the human bodyanti… againstanvil block of iron, surface used in forging metalA-P or a-p antero-posterior, from front to backapex top or summit, the highest point, the peakappliance an instrument, O&P: a prosthesis or orthosis, technical aid application making work or connecting to…learning a professionapprentice somebodyapprentice student learning a profession or craft in a structured approach apprentice student learning a profession or craft in a structured approach apprenticeship (course) training course for vocational educationappropriate best (compromise-) solution for a given problem Appropriate Technology technology appropriate (e.g. for the Third World)arch support shell shell-like custom molded medical shoe insertarteries blood vessels transporting oxygenated blood to the periphery arthritis acute or chronic joint inflammationarthrodesis blocking a joint through surgical procedurearthroplasty reconstruction of a joint through surgical procedure arthrosis, osteoarthritis joint disease - degenerating cartilage and joint surfaceGelenkarticulation Articulatio,aseptic not caused by bacterial infectionASIS / A.S.I.S anterior superior iliac spineassessment evaluation, obtaining information (about a condition) athetosis condition of slow withering movementsathletic arch support custom molded medical shoe insert for the athleteatrophy shrinkage, wastage of biological tissueautonomic nervous system independent nerve tissue, not under voluntary controlaxial rotator joint for socket rotation around the vertical axisback posterior component of the trunkbalance condition of keeping the body stabilized in a desired positionball bearing bearing cage containing rollers, making/keeping axes rotatable ball joint (universal joint) tri-axial jointband, strap, cuff suspension aid (small corset)bandages elastic wrapping, light brace, adhesive wrapping etc.bandaging act of applying bandages, tapingbands m-l connection between orthotic side bars (calf band etc.)bars, side-bars uprights, vertical struts in an orthosisbearing, ball bearing bearing cage containing rollers, making/keeping axes rotatable bed sore pressure/shear related skin trauma of bed-bound individuals below elbow amputation (BE-) forearmamputation (below the elbow joint, transradial, transulnar) below elbow, lower arm arm below the elbow jointbelt suspension component, also light abdominal bandagebench workstation,worktablebench alignment static alignment of prosthetic/orthotic componentsbending providing a shape or contour to sidebars, bands etc.bending iron set of two contouring tools for metal bar bendingbending moment the force or torque bending an objectbending, contouring providing a shape or contour to sidebars, bands etc.BE-prosthesis prosthesis after amputation below the elbow jointbevel to brake an edgebig toe halluxbilateral twosided, double..., relating to “both sides”bio-engineering science of engineering related to living structuresbio-feedback internal autoresponse to a biological eventbiological age the "natural age" - dependent on how a person presentsbiology science related to living structuresbio-mechanics science combining biology and mechanicsbipivotal joint joint with two axesBi-scapular abduction bringing both shoulders forward simultaneously (prosthetic control motion)BK below the kneeBK-prosthesis prosthesis after amputation below the kneeBK-socket below the knee socketblister forming vacuum molding plastic sheet material in a frameblock heels wide basis heelsbody the total appearance of a biological beingbody jacket US-American term for symmetrical spinal orthosesbody powered operated by human power (as opposed to outside energy) bolts machine screw and similarbonding agent connective glue, cement etc.bone single part of the skeletal systembone loss syndrome reduction of bony massbone spur a protrusion of bone or fragment of bonebonification, calcification change into bony tissuebony bridge surgical bony fusion between e.g. tibia and fibulabony landmark anatomically protruding bony surfaces (as the fibula head) bony lock (ischial containment) m-l tight locking design in ischial containment sockets bordering providing a smooth trim line or brimbordering, trimming providing a well-rounded trim line or smooth brimBoston Brace spinal orthosis developed in Boston, USA (scoliosis, kyphosis treatment)bouncy mechanism flexion device for limited flexion in prosthetic kneesbow leg genu varum, o-shaped legs, enlarged distance between knees brace, splint, caliper supportive device, old-fashioned for “orthosis”brain, cerebrum main switch board of the central nervous systembrazing heat supported metal solderingbrazing tool, soldering iron tool for heat supported metal solderingbrim proximal socket area, casting tool / templatebrooch / hook hooks holding a lace, closure of shoes etc.buffing creating a shiny surface finishbuild-up (of a material) location of added plaster in modifications of plaster castsburn heat related injurybursa anatomic padding cavity containing liquidby-law (USA: bill) lawCAD CAM Computer Aided Design, Computer Aided Manufacture cadence rhythm of walkingcalcaneus heelbonecalculation doing mathematical operationscalf band m-l connection between side bars (KAFO)calf corset enclosure of calf and shin (in an orthosis)calf muscle, triceps surae plantar flexor of the foot, muscle in the lower legcaliper measuring tool, precision instrumentcaliper, brace, splint old fashioned term for joint stabilizing lower limb orthoses Canadian Hip Disarticulation Pr. external shell prosthesis for hip disarticulationscane walkingstickcap band finishing element of trim lines, brims of corsetscarbon fiber structural reinforcement in plastic compositescardanic two axes, aligned in 90 degrees toward each othercardio-vascular related to heart and blood circulationcarve shaping by taking material off (chipping off, sanding off)cast positive (plaster or similar) moldcast modification functional changing of the shape of a castcast removal removal of plaster bandage from a poured plaster castcast taking act of taking a plaster- or similar impressioncasters freely moving front wheels at a wheel chaircasting and measurement taking getting 3-dimensional body impressions and measurements casting procedures technique of getting 3-dimensional body impressions caudal direction, toward distal end of the vertebral column (tail)c-clamp clamping tool (woodwork)CDH congenital dislocation of the hipcell (biological and technical) smallest living unit; hollow technical unitcellular made up from cellscelluloid one of the first plastic materials availablecement, glue bonding agentcenter of gravity (COG) mathematic-physical mass concentration in one point center of mass calculated concentration of mass (in bio-mechanics) center of mass (COM) mathematic-physical mass concentration in one point centrode graph for the path of the instantaneous centers of rotation cerebral related to the cerebrum, braincerebral palsy loss of neural muscle control by congenital brain damage cerebral paresis dysfunction of muscle tissue related to cerebral trauma cerebro vascular accident vascular bloodclotting in a part of the brainbraincerebrum thecerebrum / cerebral brain / related to the braincervical related to the neckcervical collar (cervical brace) orthosis for the neck (after whiplash syndrome)cervical spine most proximal segment of the spinal columnchairback brace posterior semi-shell trunk orthosischamfer to thin out the edges of a materialCharcot joint rapid progressive degeneration of a joint (foot)check-, or diagnostic socket transparent or translucent socket for diagnosis of fit chiropedist (Canada) medical doctor specialized in foot careChopart amputation tarsal (partial) foot amputation at the Chopart joint line Chopart joint tarsal joint line of several bones in the footchronic long term (disease; opposite of acute)circumduction semi-circular (mowing) forward swing of a leg circumference the measurment around a physical bodyclam shell design longitudinally split socket or shellclosure mechanism used to closeclub foot, talipes varus pes equino varus, a congenital (or acquired) foot deformity CNC Computer Numeric Controlled design and manufacturing CO cervical orthosis, orthosis for neck immobilizationCO - CP - CPO Certified ... Orthotist..Prosthetist..Prosthetist/Orthotist coating surface cover (as plasticising metal surfaces)coccyx Anatomy: the “tailbone”coefficient of friction number determining forces between sliding surfacescollar cervical orthosis, orthosis for neck immobilization collateral ligaments ligaments bridging the side of jointscompatible fitting to each othercompliance measure of willingness to follow a therapeutic ordercomponents single parts of a whole, construction parts, pre-fab partscomposite reinforced plastic component, matrix and fillercompound result of a chemical binding processcompression panty hose orthotic garment to treat varicosisconcave inwardly shaped, hollow (opposite of convex)condyle massive rounded end of bone, basis for forming a joint surfacewithborncongenital beingconstant friction continuous application of a braking forcecontact cushion distal contact padding in prosthetic socketcontact measuring measuring while touching the object measuredcontact pad contact cushion (prosthetics)continuous passive motion (CPM) keeping a joint mobile through passive motion in motorized device contour (the) the outer perimeter of a bodycontour (to) creating a shape by forming, bendingcontour drawing draft of the outer perimeter of a bodycontracture condition of motion limitation in jointsconvex outwardly shaped, bulged (opposite of concave)cork bark of a tree, natural cellular leight weight materialcoronal plane frontal planecorrection, rectification modification (of shapes, designs etc.) in order to improvecorrosion deterioration of materials by chemical influence (as oxdation)corset therapeutic circular enclosement of body segmentscorset, fabric corset lumbar brace made from textile materialcountersinking taking the edge off a drilled hole, creating circular concavitycoupler a connective devicecoxitis/coxarthritis inflammation of the hip jointCPM, continuous passive motion keeping a joint mobile through passive motion in motorized device CPO Certified Prosthetist / Orthotistcraft & trade European (German) vocational structuring systemcranial relating to the headcrossline filing using a handheld file in a 90 degrees offset directioncruciates, cruciate ligaments crossed ligaments at the knee centerCRW Community based Rehabilitation Worker (WHO Geneva)CT, computer tomography a method to take X-rays in "slices"Orthosis CTLSO Cervico-Thoraco-Lumbo-SacralOrthosisCTO Cervico-Thoracocuff, band, strap suspension aid (small corset)cup, connection cup socket connector in prostheticscure (med.) medical therapeutic measurecure (techn.) to set, hardencushion, pad upholstering device, providing soft surfacecustom made made to measurements as a single unitdeceleration to become continuously slowerdeceleration phase sub-phase in the swing phase of human gaitdecree, directive, regulation text in the lawbooks or regulation with law-like characterdeficiency lack of necessary function or ability by physical impairmentdeflector plate a leaf spring design in prosthetic feet, energy return devicedeformity malformation of form, may be influencing functiondegeneration biological wear and tearDelrin a plastic material, used as a flexible, energy returning keeldensity foaming hard foam block on a socket as a connector to componentsdeposit (biological or pathological) storage mechanism, sedimentdermatitis skin disease, infection of the skinderotating orthosis (scoliosis) orthosis for derotation - one of the priciples of scoliosis treatment design construction, functional lay-out and planningdexterity, manual skill skill of creating by hand, craftsman skilldiabetes mellitus carbohydrate metabolism disorder (frequent amputation reason) diabetic gangrene death of tissue caused by diabetesdiagnosis searching and finding a cause and details of diseasediaphysis shaft of a long bonedimension seize as measureddimensional stability keeping the dimensionsdiplegia paralysis, affecting both sides of the bodydirect socket technique manufacture of a prosthetic socket directly on the amputee's limb directive information or order on how to …..directive, regulation, decree text in the lawbooks or regulation with law-like characterdisability handicap, functional loss of abilitydisabled person a person with a disability, handicapdisabled, handicapped handicapped, having a functional loss of ability"amputation"directly through a joint linedisarticulation thedisc, intervertebral disc intervertebral cartilaginous cushioning elementdislocation joint injury resulting in complete discontiuity of joint surfaces dislocation overstretching or rupture of ligaments, also in combination with fracture doff US-colloquial: do - off = take offdoffing a prosthesis taking off a prosthesiscontrollingdominant leading,don US-colloquial: do - on = put ondonning a prosthesis putting on a prosthesisdonning aid aid to don a prosthesis as pull sock, stockinette, silk tie etc.dorsal related to the dorsum = back, posteriorly locateddorsiflexion lifting the forefoot, correct would be “dorsal extension”, lift of footdraft first drawing of a new ideadrawer effect a-p instability of the knee caused by slack cruciatesdrill (to) to machine a holeDS(L)T Direct Socket (Lamination) TechniqueDUCHENNE's disease severe progressive form of muscular dystrophyDUCHENNE's sign trunk bends lateral toward stance leg during stance phaseDUPUYTREN’sche Kontraktur fibrosis, flexion contracture of fingers into palmstiffnessdurometer hardness,duroplastic resin synthetic resin, not thermoplastic after initial curingdystrophy pathologic loss of muscle massCommunityEC Europeanedema, oedema swelling, high concentration of fluids in the soft tissueelastic capable of recovering form and shape after deformation elastic anklet ankle foot orthosiselastic bandage, ACE-bandage stretchable, expandable bandageelastic knee sleeve knee supporting soft orthosis, tt-prosthetic suspensionelbow splint old-fashioned term for: elbow orthosiselectrical stimulation neuromuscular stimulation by electric impulses electromyography recording of electrical activity of a muscleembedding enclosing, encapsulating, (German: socket retainer function) embossing manual shaping of sheet metal by special hammerEMG recording of electrical activity of a muscleendo-skeletal pylon type prosthetic components covered by external cover energy consumption use of energy in physical activitiesenergy expenditure spending of energy in physical activitiesenergy return energy output, achieved by spring-like design in O&PorthosisEO elbowepicondylitis stress related inflammation of the elbow, (tennis)epiphysis dist./prox. End of a bone, zone of longitudinal growth equilibrium keeping of balanceequinovalgus combined drop foot and valgus deformityequinovarus combined drop foot and varus deformityeversion rotation of hand or foot around long axis of the limbeversion turning foot outward and up (opposite of inversion)EWHO elbow wrist hand orthosisexamination, assessment evaluation, obtaining information (about a condition)exo-skeletal prosthetics: external structural components (opposite: modular) extension straightening motion of a jointextension assist strap or other means assisting joint extensionextension moment force (torque) causing extension (straightening) of joints extension stop bumper or other means of extension limitationextensor muscle causing extensionexternal related to the outside (opposite: internal)external fixation outside orthotic fixation (of a fracture or a surgical result) extremity upper or lower extremities: arms or legsfabric corset textile orthosis for the abdomen or trunkfabrication the procedure of mechanically creating a devicefatality mortality, death ratefatigue (material) time-dependent alteration of typical material propertiesfatigue (muscles) time-dependent slow down of muscle actionFederal Trade Association German professional trade associationfeedback return of informationfelt material made up from compressed, interwoven hair or fiber female the woman species in a creature (opposite: male)femoral channel dorso-lateral convex channel in a prosthetic socketfemoral condyles the distal ends (close to the knee joint) of the femurfemur the thigh boneFES functional electrical stimulationfibre glass (fiber glass) glass reinforcement component in compositesfibula calfbone, the lesser of two bones in the calffibular head the proximal thicker portion of the fibulafit compatibility between patient and device in function/comfortflab abundance of soft tissueflaccid paralysis, paresis non-spastic paralysis, loss of voluntary muscle innervationflare even anatomical surface (as the tibial flare)flat evenflat foot foot deformity, loss of medial-longitudinal arch heightflatfoot, talipes planus foot deformity, loss of any medial-longitudinal arch heightflexion joint motion, buckling or bending a jointflexion assist device assisting (joint) flexionflexion moment force (torque) causing flexionflexor muscle creating a flexion motionfloor reaction orthosis orthosis utilizing floor reaction forces for patient stabilizationFO (either) finger orthosis (or) foot orthosisfoam a cellular resin (polyurethane foam hard or soft)foaming act of manual creation of a prosthetic foam connectorchildfoetus unbornfollow-up continuous control and maintenance, aftertreatmentfoot cradel anatomically adapted plantar foot supportfoot deformity misalignment (functional misshape) of the footfoot flat stance phase: sole of the foot getting in complete ground contact foot slap stance phase: uncontrolled quick foot flat motionforce cause or reason for acceleration, deceleration, movementforging non-chipping iron shaping process under the influence of heat fracture traumatic breaking of a boneframe the outer supportive, stiffening elementframe socket the outer supportive, stiff element as a retainer for a flexible socket freehand drawing, draft manual first draft or drawingcounter-acting sliding movement, "rubbing"friction forcefrontal plane, coronal plane reference plane as seen from the frontfulcrum center of a single axis joint, center of rotationfully synthetical man-made (material)functional component i.e. joints etc. (as opposed to structural components)functional level degree of function a disabled patient still achievesfunctional needs component need to satisfy specific needsfundamental of basic importanceambulationgait walking,gait analysis research of gait patterns and time-related specificsgait deviation pathological changes in normal walking patternsgait pattern physiological or pathological walking characteristicsgait trainer somebody teaching how to walkgait training lessons in learning how to walkgalvanization surface protection of metalsgangrene local death of soft tissue due to lack of blood supply gastrocnemii, “gastrocs” double-headed calf musclegauge measuring instrument (measures width / thickness)gear train joint joint components, forcing each other trough toggled connection gel man-made or natural material, consistency similar to gelantine genu kneegenu recurvatum hyper-extended knee joint (frequently seen in poliomyelitis) genu valgum/knock knee knock knees, knees frequently touching each other medially genu varum/bowleg bow legs, knee distance too large (opposite of genu valgum) geometric locking locking systematic of polycentric knee jointsgeometrical stance control locking systematic for the provision of stance stabilitygeriatric elderly, old, aged,glue, cement bonding agentgoniometer instrument (tool) for measuring anglesgrease fat, as lubricant or tissuegrid particle size indication in abrassive materialsgrind surface modification by abrasion, sanding etc.ground reaction force force directed from the ground toward the body Haemo.., haema... related to the bloodhallux, halluces big toeHalo brace cranial/cervical orthoses, ring fixed at proximal cranium hamstrings popliteal tendons, insertion of flexor muscleshand splint old fashioned for hand orthosishard and soft foaming technique of using hard and soft PU-foams in combinationhd extra sturdy version of…..disarticulationHD hipHDPE HighPolyethyleneDensityHD-socket pelvic socket of the hip disarticulation prosthesisheavy metals a specific group of metals (heavy in weight)heel clamp prosthesis a partial foot prosthesis, suspension by a posterior "clamp" heel cup foot orthosis, Berkely cupheel off / heel rise moment in stance phase when the heel risesheel spur bony protrusion at the distal-medial aspect of the calcaneus heel strike moment in stance phase when the heel touches the ground heel wedge heel bumper in foot or length compensation, absorbs shockHelfet’s heel cup foot orthosis, similar Berkely cupremoving the distal half of the bodysurgery,hemicorporectomy amputationhemipelvectomy amputation surgery removing one half of the pelvis hemipelvectomy-prosthesis artificial leg after hemipelvectomyhemiplegia paralysis of one half side of the bodyheredetary congenital by transmission from parent to offspringhernia subcutaneous protrusion of intestinshindfoot posterior 1/3 of the foot (heel and tarsus)hinge simple joint, single axiship dysplasia pathological development of hip socket leading to dislocation hip hiking exaggerated movement (lifting) of the hip joint in gaithip joint, articulatio coxae proximal joint of the leg, leg-pelvis jointhip positioning orthoses a brace controlling functional alignment of the hip jointhip socket concave component of the hip jointhip spica cast applied to pelvis and legHKAFO Hip-Knee-Ankle-Foot-OrthosisHO (either) Hand Orthosis (or) Hip Orthosis (!!)hobby-handicraft hobbyists work also meaning: non-professional resulthook and eyelet closure closure of textile fabric corsetshook and pile closure Closure material with interlocking surfaces (e.g. Velcro)hook and pile, Velcro self-adhesive strap materialhorizontal plane reference plane as seen from the tophosiery, medical hosiery medical compression hosiery (phlebology)humerus bone in the upper armhybrid something having properties of at least two different resources hydraulic joint control cylinder/piston device controlling prosthetic joint motion hyper… more of somethinghyperextension over-stretching (of a joint)hyperextension orthosis a spinal brace serving for reclination of the thoracic spinegrowthhyperplasia increasedhyper-reflexia pathologically exaggerated reflexeshypertonia elevated blood pressurehypertonicity increased muscle tone or muscle tensionhypertrophy growth of tissue by enlargement of cellshypo… less of somethinghypoplasia biological structure significantly diminished in sizehypotonia low blood pressurehypotonicity loss of muscle tone (or tension)ContainmentIC IschialICRC International Committee of the Red CrossICRC Ischial and ramus containmentIC-socket ischial containment socketidiopathic scoliosis adolescent scoliosis without a known causeilium, os ilium the medial or lateral "wing-shaped" bone in the pelvis。

Introduction to Quantum MechanicsOverviewQuantum Mechanics is a branch of Physics that describes the behavior of matter and energy at a microscopic level. This discipline has had a significant impact on modern science and technology, and its principles have been applied to the development of various fields, such as computing, cryptography and medicine. The study of Quantum Mechanics requires a basic understanding of the principles of Mathematics and Physics. The m of this document is to provide an introduction to Quantum Mechanics and to provide a set of practice exercises with answers that will allow students to test their knowledge and understanding of the subject.Fundamental PrinciplesThe fundamental principles of Quantum Mechanics are based on the concept of a wave-particle duality, which means that particles can behave as both waves and particles simultaneously. The behavior of particles at the microscopic level is probabilistic, and it is described by a wave function. A wave function is a complex function that describes the probability of finding a particle at a givenlocation. The square of the amplitude of the wave function gives the probability density of finding the particle at that point in space. The wave function can be used to calculate various physical quantities, such as the position, momentum and energy of a particle.Operators and ObservablesIn Quantum Mechanics, physical quantities are represented by operators. An operator is a mathematical function that acts on a wave function and generates a new wave function as a result. Operators are used to represent physical observables, such as the position, momentum and energy of a particle. The eigenvalues of an operator correspond to the possible results of a measurement of the corresponding observable. The eigenvectors of an operator correspond to the possible states of a particle. The state of a particle is described by a linear combination of its eigenvectors, which is called a superposition.Schrödinger EquationThe Schrödinger Equation is a mathematical equation that describes the time evolution of a wave function. It is based on the principle of conservation of energy, and it representsthe motion of a quantum system in terms of its wave function. The equation is given by:$$\\hat{H}\\Psi=E\\Psi$$where $\\hat{H}$ is the Hamiltonian operator, $\\Psi$ is the wave function, and E is the energy of the system. The Schrödinger Equation is the foundation of Quantum Mechanics, and it is used to calculate various physical properties of a particle, such as its energy and momentum.Practice Exercises1.Calculate the wave function for a particle that isin a 1D box of length L.–Answer: The wave function for a particle in a 1D box is given by:$$\\Psi(x)=\\sqrt{\\frac{2}{L}}\\sin{\\frac{n\\pi x}{L}}$$where n is a positive integer.2.Derive the time-dependent Schrödinger Equation.–Answer: The time-dependent SchrödingerEquation is given by:$$i\\hbar\\frac{\\partial\\Psi}{\\partialt}=\\hat{H}\\Psi$$3.Calculate the momentum operator for a particle in1D.–Answer: The momentum operator for a particle in 1D is given by:$$\\hat{p_x}=-i\\hbar\\frac{\\partial}{\\partial x}$$4.What is the uncertnty principle?–Answer: The uncertnty principle is afundamental principle of Quantum Mechanics thatstates that the position and momentum of a particlecannot be measured simultaneously with arbitraryprecision. Mathematically, it is given by: $$\\Delta x\\Delta p_x\\geq\\frac{\\hbar}{2}$$5.Calculate the energy of a particle in a 1D box oflength L with quantum number n.–Answer: The energy of a particle in a 1D box is given by:$$E_n=\\frac{n^2\\pi^2\\hbar^2}{2mL^2}$$ConclusionQuantum Mechanics is a fascinating and challenging fieldof study that has provided a deeper understanding of the behavior of matter and energy at the microscopic level. Theprinciples of Quantum Mechanics have been applied to various fields of study, including computing, cryptography and medicine, and they have contributed to significant advances in these fields. The practice exercises provided in this document are intended as a tool for students to test their knowledge and understanding of Quantum Mechanics. By solving these exercises, students will gn a deeper understanding of the fundamental principles of Quantum Mechanics and strengthen their problem-solving skills in this exciting field of study.。

英语物理知识点总结1. Classical MechanicsClassical mechanics is the branch of physics that deals with the motion of objects and the forces that cause this motion. It is often divided into two main subfields: statics, which deals with the equilibrium of objects at rest, and dynamics, which deals with the motion of objects and the forces that cause this motion.One of the most famous equations in classical mechanics is Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. This simple equation has profound implications and forms the foundation of classical mechanics.Other important concepts in classical mechanics include work and energy, momentum, and angular momentum. These concepts help us understand the behavior of objects in motion and are essential for many practical applications, such as engineering and transportation.2. ThermodynamicsThermodynamics is the branch of physics that deals with the relationships between heat, work, and energy. It is a fundamental concept in many areas of science and engineering, including chemistry, biology, and materials science.One of the key principles of thermodynamics is the conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another. This principle underlies many of the laws and equations of thermodynamics and plays a crucial role in our understanding of the natural world.Another important concept in thermodynamics is entropy, which is a measure of the disorder or randomness of a system. The second law of thermodynamics states that the entropy of any isolated system will always increase over time, leading to the concept of the arrow of time and the irreversibility of certain processes.3. ElectromagnetismElectromagnetism is the branch of physics that deals with the relationship between electricity and magnetism. It is one of the four fundamental forces of nature and plays a crucial role in many everyday phenomena, such as the behavior of electrical circuits, the generation of light and other electromagnetic waves, and the behavior of charged particles in electric and magnetic fields.One of the key equations in electromagnetism is Maxwell's equations, which describe how electric and magnetic fields are generated and how they interact with each other. These equations form the foundation of classical electromagnetism and have profound implications for our understanding of the behavior of light and other electromagnetic waves.Other important concepts in electromagnetism include electric potential, capacitance, inductance, and the behavior of electric and magnetic fields in matter. These concepts are essential for understanding the behavior of electrical circuits, the generation of electric power, and many other practical applications.4. Quantum MechanicsQuantum mechanics is the branch of physics that deals with the behavior of matter and energy at very small scales, such as the scale of atoms and subatomic particles. It is a fundamental theory that has revolutionized our understanding of the universe and has led to many technological advancements, such as the development of semiconductors and the theory of quantum computing.One of the key principles of quantum mechanics is the wave-particle duality, which states that matter and energy can exhibit both wave-like and particle-like behavior. This principle underlies many of the phenomena observed at the quantum scale and has profound implications for our understanding of the natural world.Another important concept in quantum mechanics is the uncertainty principle, which states that certain pairs of physical properties, such as position and momentum, cannot be simultaneously measured with arbitrary precision. This principle has important implications for our understanding of the behavior of quantum systems and the limitations of measurement in the quantum world.5. RelativityRelativity is the branch of physics that deals with the behavior of matter and energy at very large scales, such as the scale of stars, galaxies, and the universe at large. It is a fundamental theory that has revolutionized our understanding of the cosmos and has led to many important discoveries, such as the prediction of black holes and the expansion of the universe.One of the key principles of relativity is the principle of the equivalence of inertial and gravitational mass, which states that the gravitational force experienced by an object is equivalent to the inertial force experienced by the object in an accelerating frame of reference. This principle forms the foundation of general relativity and has profound implications for our understanding of the behavior of matter and energy in the presence of gravitational fields.Another important concept in relativity is the speed of light as a fundamental constant, which plays a crucial role in many of the phenomena observed at very large scales, such as the redshift of light from distant galaxies and the bending of light by gravitational fields.In conclusion, physics is a vast and complex field of study that encompasses many key concepts and topics. From classical mechanics to relativity, from thermodynamics to quantum mechanics, the foundational principles of physics have revolutionized ourunderstanding of the natural world and the universe at large. By studying these key concepts and topics, we gain valuable insights into the behavior of matter and energy and the fundamental principles that govern the cosmos. Physics is not only a fundamental science, but also a source of inspiration for many technological advancements that have transformed our world.。

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Chapter 1 Matter and MeasurementChemistry is the science of matter and the changes it undergoes. Chemists study the composition, structure, and properties of matter. They observe the changes that matter undergoes and measure the energy that is produced or consumed during these changes. Chemistry provides an understanding of many natural events and has led to the synthesis of new forms of matter that have greatly affected the way we live.Disciplines within chemistry are traditionally grouped by the type of matter being studied or the kind of study. These include inorganic chemistry, organic chemistry, physical chemistry, analytical chemistry, polymer chemistry, biochemistry, and many more specialized disciplines, e.g. radiochemistry, theoretical chemistry.Chemistry is often called "the central science" because it connects the other natural sciences such as astronomy, physics, material science, biology and geology.1.1. Classification of MatterMatter is usually defined as anything that has mass and occupies space. Mass is the amount of matter in an object. The mass of an object does not change. The volume of an object is how much space the object takes up.All the different forms of matter in our world fall into two principal categories: (1) pure substances and (2) mixtures. A pure substance can also be defined as a form of matter that has both definite composition and distinct properties. Pure substances are subdivided into two groups: elements and compounds. An element is the simplest kind of material with unique physical and chemical properties; it can not be broken down into anything simpler by either physical or chemical means. A compound is a pure substance that consists of two or more elements linked together in characteristic and definite proportions; it can be decomposed by a chemical change into simpler substances with a fixedmass ratio. Mixtures contain two or more chemical substances in variable proportions in which the pure substances retain their chemical identities. In principle, they can be separated into the component substances by physical means, involving physical changes. A sample is homogeneous if it always has the same composition, no matter what part of the sample is examined. Pure elements and pure chemical compounds are homogeneous. Mixtures can be homogeneous, too; in a homogeneous mixture the constituents are distributed uniformly and the composition and appearance of the mixture are uniform throughout. A solutions is a special type of homogeneous mixture. A heterogeneous mixture has physically distinct parts with different properties. The classification of matter is summarized in the diagram below:Matter can also be categorized into four distinct phases: solid, liquid, gas, and plasma. The solid phase of matter has the atoms packed closely together. An object that is solid has a definite shape and volume that cannot be changed easily. The liquid phase of matter has the atoms packed closely together, but they flow freely around each other. Matter that is liquid has a definite volume but changes shape quite easily. Solids and liquids are termed condensed phases because of their well-defined volumes. The gas phase of matter has the atoms loosely arranged so they can travel in and out easily. A gas has neither specific shape nor constant volume. The plasma phase of matter has the atoms existing in an excited state.1.2. Properties of MatterAll substances have properties, the characteristics that give each substance its unique identity. We learn about matter by observing its properties. To identify a substance, chemists observe two distinct types of properties, physical and chemical, which are closely related to two types of change that matter undergoes.Physical properties are those that a substance shows by itself, without changing into or interacting with another substance. Some physical properties are color, smell, temperature, boiling point, electrical conductivity, and density. A physical change is a change that does not alter the chemical identity of the matter. A physical change results in different physical properties. For example, when ice melts, several physical properties have changed, such as hardness, density, and ability to flow. But the sample has not changed its composition: it is still water.Chemical properties are those that do change the chemical nature of matter. A chemical change, also called a chemical reaction, is a change that does alter the chemical identity of the substance. It occurs when a substance (or substances) is converted into a different substance (or substances). For example, when hydrogen burns in air, it undergoes a chemical change because it combines with oxygen to form water.Separation of MixturesThe separation of mixtures into its constituents in a pure state is an important process in chemistry. The constituents of any mixture can be separated on the basis of their differences in their physical and chemical properties, e.g., particle size, solubility, effect of heat, acidity or basicity etc.Some of the methods for separation of mixtures are:(1)Sedimentation or decantation. To separatethe mixture of coarse particles of a solidfrom a liquid e.g., muddy river water.(2)Filtration. To separate the insoluble solidcomponent of a mixture from the liquidcompletely i.e. separating the precipitate(solid phase) from any solution.(3)Evaporation. To separate a non-volatilesoluble salt from a liquid or recover thesoluble solid solute from the solution.(4)Crystallization. To separate a solidcompound in pure and geometrical form.(5)Sublimation. To separate volatile solids,from a non-volatile solid.(6)Distillation. To separate the constituents of aliquid mixture, which differ in their boilingpoints.(7)Solvent extraction method. Organiccompounds, which are easily soluble inorganic solvents but insoluble or immisciblewith water forming two separate layers canbe easily separated.1.3 Atoms, Molecules and CompoundsThe fundamental unit of a chemical substance is called an atom. The word is derived from the Greek atomos, meaning “undivisible”or “uncuttable”.An atom is the smallest possible particle of a substance.Molecule is the smallest particle of a substance that retains the chemical and physical properties of the substance and is composed of two or more atoms;a group of like or different atoms held together by chemical forces. A molecule may consist of atoms of a single chemical element, as with oxygen (O2), or of different elements, as with water (H2O).A chemical element is a pure chemical substance consisting of one type of atom distinguished by its atomic number, which is the number of protons in its nucleus. The term is also used to refer to a pure chemical substance composed of atoms with the same number of protons. Until March 2010, 118 elements have been observed. 94 elements occur naturally on earth, either as the pure element or more commonly as a component in compounds. 80 elements have stable isotopes, namely all elements with atomic numbers 1 to 82, except elements 43 and 61 (technetium and promethium). Elements with atomic numbers 83 or higher (bismuth and above) are inherently unstable, and undergo radioactive decay. The elements from atomic number 83 to 94 have no stable nuclei, but are nevertheless found in nature, either surviving as remnants of the primordial stellar nucleosynthesisthat produced the elements in the solar system, or else produced as short-lived daughter-isotopes through the natural decay of uranium and thorium. The remaining 24 elements so are artificial, or synthetic, elements, which are products of man-induced processes. These synthetic elements are all characteristically unstable. Although they have not been found in nature, it is conceivable that in the early history of the earth, these and possibly other unknown elements may have been present. Their unstable nature could have resulted in their disappearance from the natural components of the earth, however.The naturally occurring elements were not all discovered at the same time. Some, such as gold, silver, iron, lead, and copper, have been known since the days of earliest civilizations. Others, such as helium, radium, aluminium, and bromine, were discovered in the nineteenth century. The most abundant elements found in the earth’s crust, in order of decreasing percentage, are oxygen, silicon, aluminium, and iron. Others present in amounts of 1% or more are calcium, sodium, potassium, and magnesium. Together, these represent about 98.5% of the earth’s crust.The nomenclature and their origins of all known elements will be described in Chapter 2.A chemical compound is a pure chemical substance consisting of two or more different chemical elements that can be separated into simpler substances by chemical reactions. Chemical compounds have a unique and defined chemical structure; they consist of a fixed ratio of atoms that are held together in a defined spatial arrangement by chemical bonds. Compounds that exist as molecules are called molecular compounds. An ionic compound is a chemical compound in which ions are held together in a lattice structure by ionic bonds. Usually, the positively charged portion consists of metal cations and the negatively charged portion is an anion or polyatomic ion.The relative amounts of the elements in a particular compound do not change: Every molecule of a particular chemical substance contains acharacteristic number of atoms of its constituent elements. For example, every water molecule contains two hydrogen atoms and one oxygen atom. To describe this atomic composition, chemists write the chemical formula for water as H2O.The chemical formula for water shows how formulas are constructed. The formula lists the symbols of all elements found in the compound, in this case H (hydrogen) and O (oxygen). A subscript number after an element's symbol denotes how many atoms of that element are present in the molecule. The subscript 2 in the formula for water indicates that each molecule contains two hydrogen atoms. No subscript is used when only one atom is present, as is the case for the oxygen atom in a water molecule. Atoms are indivisible, so molecules always contain whole numbers of atoms. Consequently, the subscripts in chemical formulas of molecular substances are always integers. We explore chemical formulas in greater detail in Chapter 2.The simple formula that gives the simplest whole number ratio between the atoms of the various elements present in the compound is called its empirical formula. The simplest formula that gives the actual number of atoms of the various elements present in a molecule of any compound is called its molecular formula. Elemental analysis is an experiment that determines the amount (typically a weight percent) of an element in a compound. The elemental analysis permits determination of the empirical formula, and the molecular weight and elemental analysis permit determination of the molecular formula.1.4. Numbers in Physical Quantities1.4.1. Measurement1.Physical QuantitiesPhysical properties such as height, volume, and temperature that can be measured are called physical quantity. A number and a unit of defined size are required to describe physical quantity, for example, 10 meters, 9 kilograms.2.Exact NumbersExact Numbers are numbers known withcertainty. They have unlimited number of significant figures. They arise by directly counting numbers, for example, the number of sides on a square, or by definition:1 m = 100 cm, 1 kg = 1000 g1 L = 1000 mL, 1 minute = 60seconds3.Uncertainty in MeasurementNumbers that result from measurements are never exact. Every experimental measurement, no matter how precise, has a degree of uncertainty to it because there is a limit to the number of digits that can be determined. There is always some degree of uncertainty due to experimental errors: limitations of the measuring instrument, variations in how each individual makes measurements, or other conditions of the experiment.Precision and AccuracyIn the fields of engineering, industry and statistics, the accuracy of a measurement system is the degree of closeness of measurements results to its actual (true) value. The precision of a measurement system, also called reproducibility or repeatability, is the degree to which repeated measurements under unchanged conditions show the same results. Although the two words can be synonymous in colloquial use, they are deliberately contrasted in the context of the scientific method.A measurement system can be accurate but not precise, precise but not accurate, neither, or both. A measurement system is called valid if it is both accurate and precise. Related terms are bias (non-random or directed effects caused by a factor or factors unrelated by the independent variable) and error(random variability), respectively. Random errors result from uncontrolled variables in an experiment and affect precision; systematic errors can be assigned to definite causes and affect accuracy. For example, if an experiment contains a systematic error, then increasing the sample size generally increases precision but does not improve accuracy. Eliminating the systematic error improves accuracy but does not change precision.1.4.2 Significant FiguresThe number of digits reported in a measurement reflects the accuracy of the measurement and the precision of the measuring device. Significant figures in a number include all of the digits that are known with certainty, plus the first digit to the right that has an uncertain value. For example, the uncertainty in the mass of a powder sample, i.e., 3.1267g as read from an “analytical balance” is 0.0001g.In any calculation, the results are reported to the fewest significant figures (for multiplication and division) or fewest decimal places (addition and subtraction).1.Rules for deciding the number of significantfigures in a measured quantity:The number of significant figures is found by counting from left to right, beginning with the first nonzero digit and ending with the digit that has the uncertain value, e.g.,459 (3) 0.206 (3) 2.17(3) 0.00693 (3) 25.6 (3) 7390 (3) 7390. (4)(1)All nonzero digits are significant, e.g., 1.234g has 4 significant figures, 1.2 g has 2significant figures.(2)Zeroes between nonzero digits aresignificant: e.g., 1002 kg has 4 significantfigures, 3.07 mL has 3 significant figures.(3)Leading zeros to the left of the first nonzerodigits are not significant; such zeroes merelyindicate the position of the decimal point:e.g., 0.001 m has only 1 significant figure,0.012 g has 2 significant figures.(4)Trailing zeroes that are also to the right of adecimal point in a number are significant:e.g., 0.0230 mL has 3 significant figures,0.20 g has 2 significant figures.(5)When a number ends in zeroes that are notto the right of a decimal point, the zeroes arenot necessarily significant: e.g., 190 milesmay be 2 or 3 significant figures, 50,600calories may be 3, 4, or 5 significant figures.The potential ambiguity in the last rule can be avoided by the use of standard exponential, or "scientific" notation. For example, depending onwhether the number of significant figures is 3, 4, or 5, we would write 50,600 calories as:5.06 × 104 calories (3 significant figures)5.060 ×104calories (4 significant figures), or5.0600 × 104 calories (5 significant figures).2.Rules for rounding off numbers(1)If the digit to be dropped is greater than 5,the last retained digit is increased by one.For example, 12.6 is rounded to 13.(2)If the digit to be dropped is less than 5, thelast remaining digit is left as it is. Forexample, 12.4 is rounded to 12.(3)If the digit to be dropped is 5, and if anydigit following it is not zero, the lastremaining digit is increased by one. Forexample, 12.51 is rounded to 13.(4)If the digit to be dropped is 5 and isfollowed only by zeroes, the last remainingdigit is increased by one if it is odd, but leftas it is if even. For example, 11.5 is roundedto 12, 12.5 is rounded to 12.This rule means that if the digit to be dropped is 5 followed only by zeroes, the result is always rounded to the even digit. The rationale is to avoid bias in rounding: half of the time we round up, half the time we round down.3.Arithmetic using significant figuresIn carrying out calculations, the general rule is that the accuracy of a calculated result is limited by the least accurate measurement involved in the calculation.(1) In addition and subtraction, the result is rounded off to the last common digit occurring furthest to the right in all components. Another way to state this rules, is that, in addition and subtraction, the result is rounded off so that it has the same number of decimal places as the measurement having the fewest decimal places. For example,100 (assume 3 significant figures) + 23.643 (5 significant figures) = 123.643,which should be rounded to 124 (3 significant figures).(2) In multiplication and division, the resultshould be rounded off so as to have the same number of significant figures as in the component with the least number of significant figures. For example,3.0 (2 significant figures ) ×12.60 (4 significant figures) = 37.8000which should be rounded off to 38 (2 significant figures).1.4.3 Scientific NotationScientific notation, also known as standard form or as exponential notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.In scientific notation all numbers are written like this:a × 10b("a times ten to the power of b"), where the exponent b is an integer, and the coefficient a is any real number, called the significant or mantissa (though the term "mantissa" may cause confusion as it can also refer to the fractional part of the common logarithm). If the number is negative then a minus sign precedes a (as in ordinary decimal notation).In standard scientific notation the significant figures of a number are retained in a factor between 1 and 10 and the location of the decimal point is indicated by a power of 10. For example:An electron's mass is about 0.00000000000000000000000000000091093822 kg. In scientific notation, this is written 9.1093822×10−31 kg.The Earth's mass is about 5973600000000000000000000 kg. In scientific notation, this is written 5.9736×1024 kg.1.5 Units of Measurement1.5.1 Systems of Measurement1.United States Customary System (USCS)The United States customary system (also called American system) is the most commonly used system of measurement in the United States. It is similar but not identical to the British Imperial units. The U.S. is the only industrialized nation that does not mainly use the metric system in its commercial and standards activities. Base units are defined butseem arbitrary (e.g. there are 12 inches in 1 foot)2.MetricThe metric system is an international decimalized system of measurement, first adopted by France in 1791, that is the common system of measuring units used by most of the world. It exists in several variations, with different choices of fundamental units, though the choice of base units does not affect its day-to-day use. Over the last two centuries, different variants have been considered the metric system. Metric units are universally used in scientific work, and widely used around the world for personal and commercial purposes. A standard set of prefixes in powers of ten may be used to derive larger and smaller units from the base units.3.SISI system (for Système International) was adopted by the International Bureau of Weights and Measures in 1960, it is a revision and extension of the metric system. Scientists and engineers throughout the world in all disciplines are now being urged to use only the SI system of units.1.5.2 SI base unitsThe SI is founded on seven SI base units for seven base quantities assumed to be mutually independent, as given in Table 1.1.Table 1.1 SI Base Physical Quantities and UnitsU n i tN a m e UnitSymbolBaseQuantityQuantitySymbolDimensionSymbolm m l l Le t e r e n g t hk i lo g r a m kgmassm Ms ec o nd stimet Ta mp e r e AelectriccurrentI Ik el v i n KthermodynTΘm i ct e m p e r a t u r em o l e molamountofsubstancen Nc an d e l a cdluminousIvJntensity1.5.3 SI derived unitsOther quantities, called derived quantities, aredefined in terms of the seven base quantities via asystem of quantity equations. The SI derived unitsfor these derived quantities are obtained from theseequations and the seven SI base units. Examples ofsuch SI derived units are given in Table 1.2, where itshould be noted that the symbol 1 for quantities ofdimension 1 such as mass fraction is generallyomitted.Table 1.2 SI Derived Physical Quantities and(symbol) Unit(symbol)UArea (A) squaremeterm V olume (V) cubicmeterm Density (ρ) kilogramper cubicmeterkVelocity (u) meterpersecondmPressure (p) pascal(Pa)kEnergy (E) joule (J) (k Frequency (ν) hertz(Hz)1Quantity of electricity (Q) coulomb(C)AElectromotive force (E) volt (V) (kmsForce (F) newton(N)kFor ease of understanding and convenience, 22SI derived units have been given special names andsymbols, as shown in Table 1.3.Table 1.3 SI Derived Units with special names andsymbolsD e r i v e dq u a n t i t y SpecialnameSpecialSymbolExpressionintermsofotherSIunitsSIbaseunitsp r r ml a n ea n g l e adianad·m-1=1s o l i da n g l e steradiansrm2·m-2=1f r e q u e n c y hertzHzs-1f o r c e newtonN m·kg·s-2p p P N mr e s s u r e ,s t r e s s ascala/m21·kg·s-2e n e r g y ,w o r k ,q u a n t i t yo fh e a jouleJ N·mm2·kg·s-2p o w e r ,r a d i a n tf l u x wattW J/sm2·kg·s-3e l e c t r i cc h a r g e q u a n t i t y coulombC s·Afe l e c t r i c i t ye l e c t r i cp o t e n t i a l ,p o t e n t i a l voltV W/Am2·kg·s-3·A-1i f f e r e n c e ,e l e c t r o m o t i v ef o r c ec a p a c i t a n c e faradF C/Vm-2·kg-1·s 4·A 2e l e c t r i cr e s i s t a n c e ohmΩV/Am2·kg·s-3·A-2e l e c t r i cc o nd u c t a n c siemensS A/Vm-2·kg-1·s2·Aem a g n e t i cf l u x weberWbV·sm2·kg·s-2·A-1m a g n e t i cf l u xd e n s i t y teslaT Wb/m2kg·s-2·A-1i n d henH Wb/m2u c t a n c e ryA ·kg·s-2·A-2C e l s i u st e m p e r a t u r e degreeCelsius°CKl u m i n o u s lumenlmcd·srcd·srl u xi l l u m i n a n c e luxlxlm/m2m-2·cd·sra c t i v i t y( o far a d i o n u c l i d e becquerelBqs-1a b s o r b e dd o se ,s p e c i f i ce n e r g y( i m p a r t e d ) ,grayGyJ/kgm2·s-2e r m ad o s ee q u i v a l e n t ,e ta l .sievertSvJ/kgm2·s-2c a t a l y t i ca c t i v i katalkats-1·molyCertain units that are not part of the SI are essential and used so widely that they are accepted by the CIPM (Commission Internationale des Poids Et Mesures) for use with the SI. Some commonly used units are given in Table 1.4.Table 1.4 Non-SI units accepted for use with theSIN a m e SymbolQuantityEquivalentSIunitmi n u t e mintime1min=6sho u r htime1h6min=36s da y dtime1d=24h=144min=864sdegreeo fa r c °planeangle1°=(π/18)radm i n u t eo fa r c ′planeangle1′=(1/6)°=(π/18radsecondo fa r c ″planeangle1″=(1/6)′=(1/36)°=(π/648)rdhect a r e haarea1ha=1a=1m²l i t r e lorLvolume1l=1dm3=.1m3ton n e tmass1t=13kg=1MgThe 20 SI prefixes used to form decimal multiples and submultiples of SI units are given in Table 1.5.Table 1.5 SI PrefixesF a c t o r NameSymbolFactorNameSymbol1 0 24yottaY 1-1decid1 0 21zettZ 1-2centc。