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8.033 Relativity (MIT) 8.033 Relativity (MIT)

Description

Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay. Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay.Subjects

Einstein's postulates | Einstein's postulates | consequences for simultaneity | time dilation | length contraction | clock synchronization | consequences for simultaneity | time dilation | length contraction | clock synchronization | Lorentz transformation | Lorentz transformation | relativistic effects and paradoxes | relativistic effects and paradoxes | Minkowski diagrams | Minkowski diagrams | invariants and four-vectors | invariants and four-vectors | momentum | energy and mass | momentum | energy and mass | particle collisions | particle collisions | Relativity and electricity | Relativity and electricity | Coulomb's law | Coulomb's law | magnetic fields | magnetic fields | Newtonian cosmology | Newtonian cosmology | General Relativity | General Relativity | principle of equivalence | principle of equivalence | the Schwarzchild metric | the Schwarzchild metric | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | gravitational red shift | particle trajectories | particle trajectories | light trajectories | light trajectories | invariants | invariants | four-vectors | four-vectors | momentum | momentum | energy | energy | mass | mass | relativistic effects | relativistic effects | paradoxes | paradoxes | electricity | electricity | time dilation | time dilation | length contraction | length contraction | clock synchronization | clock synchronization | Schwarzchild metric | Schwarzchild metric | geodesics | geodesics | Shaprio delay | Shaprio delay | relativistic kinematics | relativistic kinematics | relativistic dynamics | relativistic dynamics | electromagnetism | electromagnetism | hubble expansion | hubble expansion | universe | universe | equivalence principle | equivalence principle | curved space time | curved space time | Ether Theory | Ether Theory | constants | constants | speed of light | speed of light | c | c | graph | graph | pythagorem theorem | pythagorem theorem | triangle | triangle | arrows | arrowsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world. This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.Subjects

approximation | approximation | science | science | engineering | engineering | managing complexity | managing complexity | divide and conquer | divide and conquer | heterogeneous hierarchies | heterogeneous hierarchies | homogeneous hierarchies | homogeneous hierarchies | proportional reasoning | proportional reasoning | conservation/box models | conservation/box models | dimensional analysis | dimensional analysis | special cases | special cases | extreme cases | extreme cases | discretization | discretization | spring models | spring models | symmetry | symmetry | invariance | invariance | discarding information | discarding information | oil imports | oil imports | tree representations | tree representations | gold | gold | random walks | random walks | UNIX | UNIX | triangle bisection | triangle bisection | pentagonal heat flow | pentagonal heat flow | jump heights | jump heights | simple calculus | simple calculus | drag | drag | cycling | cycling | swimming | swimming | flying | flying | flight | flight | algebraic symmetry | algebraic symmetry | densities | densities | hydrogen size | hydrogen size | bending of light | bending of light | Buckingham Pi Theorem | Buckingham Pi Theorem | pulley acceleration | pulley acceleration | waves | wavesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadataTown scales, in the market square, Donegal town Town scales, in the market square, Donegal town

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Subjects

ireland | ireland | scales | scales | posters | posters | lantern | lantern | slides | slides | donegal | donegal | ulster | ulster | marketsquare | marketsquare | countydonegal | countydonegal | hargrave | hargrave | thediamond | thediamond | markethall | markethall | nationallibraryofireland | nationallibraryofireland | limerickbybeachcomber | limerickbybeachcomber | joshuahhargravecollection | joshuahhargravecollection | joshuahhargrave | joshuahhargrave | joshuaharrisonhargrave | joshuaharrisonhargrave | diamondisatriangle | diamondisatriangle | townscales | townscales | excursionlondonderry | excursionlondonderry | lcraig | lcraig | bakerandconfectioner | bakerandconfectioner | lcraigbakerandconfectioner | lcraigbakerandconfectionerLicense

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Test za preverjanje znanja geometrije (točka, daljica, premica, trikotnik, ...). Exam in geometry (point, line, triangle, ...).Subjects

znanstvene vede | sciences | matematika | mathematics | daljica | line segment | test | exam | premica | line | točka | point | trikotnik | triangleLicense

http://creativecommons.org/licenses/by-nc-sa/2.5/si/ http://creativecommons.org/licenses/by-nc-sa/2.5/si/Site sourced from

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See all metadataGeometrija - geometrijski liki Geometry - shapes

Description

Primer učne ure utrjevanja geometrijskih likov. Učenci delajo po postajah. How to organize teaching lesson on geometric shapes.Subjects

znanstvene vede | sciences | matematika | mathematics | lik | shape | trikotnik | triangle | kvadrat | square | krog | circleLicense

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See all metadataGeometrijski liki - tombola Geometrical shapes - bingo

Description

Učenci s pomočjo igre utrjujejo poznavanje geometrijskih likov. Set of images of geometric shapes that can be printed and cut to make set of cards that are suitable to play Concentration (Memory).Subjects

znanstvene vede | sciences | matematika | mathematics | lik | shape | trikotnik | triangle | tombola | bingo | kvadrat | square | krog | circleLicense

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See all metadataKoti, trikotniki - križanka Angles, triangles - crossword

Description

Križanka sestavljena iz besed povezanih s koti in trikotniki. Crossword puzzle build of terms related to the angles and triangles.Subjects

znanstvene vede | sciences | matematika | mathematics | kot | angle | trikotnik | triangle | križanka | crosswordLicense

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This unit will help you understand more about real numbers and their properties. It will explain the relationship between real numbers and recurring decimals, explain irrational numbers and discuss inequalities. The unit will help you to use the Triangle Inequality, the Binomial Theorem and the Least Upper Bound Property.Subjects

irrational_number | rational_number | mathematics and statistics | binomial_theorem | inequalities | triangle_inequality | Education | X000License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/Site sourced from

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See all metadataFederal Triangle, Washington, D. C.

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cornelluniversitylibrary | washingtondistrictofcolumbia | federaltrianglewashingtondistrictofcolumbia | whitehousewashingtondistrictofcolumbia | nationalarchivesbuildingwashingtondistrictofcolumbia | cityviews | urbanviews | governmentofficebuildings | museums | publicbuildings | culidentifier:value=155309000580 | culidentifier:lunafield=accessionnumberLicense

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See all metadataNorthern View of the District of Columbia from the Washington Monument

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Subjects

cornelluniversitylibrary | washingtondistrictofcolumbia | whitehousewashingtondistrictofcolumbia | executiveofficebuildingwashingtondistrictofcolumbia | federaltrianglewashingtondistrictofcolumbia | fields | cityscapes | governmentofficebuildings | publicbuildings | rooftops | culidentifier:value=155309000596 | culidentifier:lunafield=accessionnumberLicense

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See all metadataNortheastern View of the District of Columbia from the Washington Monument

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cornelluniversitylibrary | washingtondistrictofcolumbia | federaltrianglewashingtondistrictofcolumbia | museums | publicbuildings | governmentofficebuildings | postoffices | cityscapes | rooftops | culidentifier:value=155309000594 | culidentifier:lunafield=accessionnumberLicense

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cornelluniversitylibrary | themallwashingtondistrictofcolumbia | washingtonmonumentwashingtondistrictofcolumbia | capitolwashingtondistrictofcolumbia | museums | capitols | publicbuildings | governmentofficebuildings | zeppelins | monuments | memorials | cityscapes | rooftops | federaltrianglewashingtondistrictofcolumbia | culidentifier:value=155309000601 | culidentifier:lunafield=accessionnumberLicense

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See all metadataThe Capitol and Mall, Washington, D. C.

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Subjects

cornelluniversitylibrary | libraryofcongresswashingtondistrictofcolumbia | capitolwashingtondistrictofcolumbia | capitolhillwashingtondistrictofcolumbia | themallwashingtondistrictofcolumbia | federaltrianglewashingtondistrictofcolumbia | washingtonmonumentwashingtondistrictofcolumbia | lincolnmemorialwashingtondistrictofcolumbia | whitehousewashingtondistrictofcolumbia | potomacriverwashingtondistrictofcolumbia | rivers | bodiesofwater | bridges | memorials | monuments | cityscapes | rooftops | capitols | domes | obelisks | libraries | publicbuildings | museums | governmentofficebuildings | culidentifier:value=155309000602 | culidentifier:lunafield=accessionnumberLicense

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See all metadataVirtual Maths - Numbers, Geometry 2D shapes

Description

Images of 2D shapes with formula for calculating area square, rectangle, triangle, trapezoid, parallelogram, pythagorean theorem, circle, circular sector, circular ringSubjects

ukoer | geometry | maths | building survey | 2d shapes | triangle | square | rectangle | parallelogram | pythagorean theorem | Built Environment | Architecture | planning | K000 | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | TLicense

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/Site sourced from

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See all metadataVirtual Maths - 2D Shapes, triangle

Description

Interactive simulation demonstrating calculation of area of a triangleSubjects

ukoer | virtual maths | area | formula | triangle | Built Environment | OR | Architecture | planning | K000 | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | TLicense

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/Site sourced from

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Uporaba tangrama pri pouku geometrije Usage of tangram in the geometry classSubjects

znanstvene vede | sciences | matematika | mathematics | ploščina | area | paralelogram | parallelogram | kvadrat | square | trikotnik | triangle | tangramLicense

http://creativecommons.org/licenses/by-nc-sa/2.5/si/ http://creativecommons.org/licenses/by-nc-sa/2.5/si/Site sourced from

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Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay.Subjects

Einstein's postulates | consequences for simultaneity | time dilation | length contraction | clock synchronization | Lorentz transformation | relativistic effects and paradoxes | Minkowski diagrams | invariants and four-vectors | momentum | energy and mass | particle collisions | Relativity and electricity | Coulomb's law | magnetic fields | Newtonian cosmology | General Relativity | principle of equivalence | the Schwarzchild metric | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | particle trajectories | light trajectories | invariants | four-vectors | momentum | energy | mass | relativistic effects | paradoxes | electricity | time dilation | length contraction | clock synchronization | Schwarzchild metric | geodesics | Shaprio delay | relativistic kinematics | relativistic dynamics | electromagnetism | hubble expansion | universe | equivalence principle | curved space time | Ether Theory | constants | speed of light | c | graph | pythagorem theorem | triangle | arrowsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata6.055J The Art of Approximation in Science and Engineering (MIT)

Description

This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.Subjects

approximation | science | engineering | managing complexity | divide and conquer | heterogeneous hierarchies | homogeneous hierarchies | proportional reasoning | conservation/box models | dimensional analysis | special cases | extreme cases | discretization | spring models | symmetry | invariance | discarding information | oil imports | tree representations | gold | random walks | UNIX | triangle bisection | pentagonal heat flow | jump heights | simple calculus | drag | cycling | swimming | flying | flight | algebraic symmetry | densities | hydrogen size | bending of light | Buckingham Pi Theorem | pulley acceleration | wavesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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