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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 | arrows

License

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.htm

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6.055J The Art of Approximation in Science and Engineering (MIT) 6.055J 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. 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 | waves

License

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.htm

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Town scales, in the market square, Donegal town Town scales, in the market square, Donegal town

Description

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 | lcraigbakerandconfectioner

License

No known copyright restrictions

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Federal Triangle, Washington, D. C.

Description

Collection: A. D. White Architectural Photographs, Cornell University Library Accession Number: 15/5/3090.00580 Title: Federal Triangle, Washington, D. C. Photographer: Fairchild Aerial Surveys Architect: John Russell Pope (American, 1874-1937) Photograph date: 1935 Building Date: 1931-1935 Location: North and Central America: United States; District of Columbia, Washington Materials: gelatin silver print Provenance: Transfer from the College of Architecture, Art and Planning Persistent URI: hdl.handle.net/1813.001/5spz There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source. We had some help with the geocoding from Web Services by Yahoo!

Subjects

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

License

No known copyright restrictions

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Virtual 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 ring

Subjects

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

License

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/

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Geometrija - 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 | circle

License

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

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Virtual Maths - 2D Shapes, triangle

Description

Interactive simulation demonstrating calculation of area of a triangle

Subjects

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

License

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/

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Geometrijski 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 | circle

License

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

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Northern View of the District of Columbia from the Washington Monument

Description

Collection: A. D. White Architectural Photographs, Cornell University Library Accession Number: 15/5/3090.00596 Title: Northern View of the District of Columbia from the Washington Monument Photograph date: ca. 1942 Location: North and Central America: United States; District of Columbia, Washington Materials: gelatin silver print Image: 7 1/2 x 9 3/8 in.; 19.05 x 23.8125 cm Provenance: Transfer from the College of Architecture, Art and Planning Persistent URI: hdl.handle.net/1813.001/5sqn There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source. We had some help with the geocoding from Web Services by Yahoo!

Subjects

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

License

No known copyright restrictions

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Geometrija Geometry

Description

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 | triangle

License

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

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Koti, 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 | crossword

License

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

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Northeastern View of the District of Columbia from the Washington Monument

Description

Collection: A. D. White Architectural Photographs, Cornell University Library Accession Number: 15/5/3090.00594 Title: Northeastern View of the District of Columbia from the Washington Monument Photograph date: ca. 1942 Location: North and Central America: United States; District of Columbia, Washington Materials: gelatin silver print Image: 7 1/2 x 9 3/8 in.; 19.05 x 23.8125 cm Provenance: Transfer from the College of Architecture, Art and Planning Persistent URI: hdl.handle.net/1813.001/5sqk There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source. We had some help with the geocoding from Web Services by Yahoo!

Subjects

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

License

No known copyright restrictions

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The Mall, Washington, D. C.

Description

Collection: A. D. White Architectural Photographs, Cornell University Library Accession Number: 15/5/3090.00601 Title: The Mall, Washington, D. C. Photographer: Fairchild Aerial Surveys Photograph date: ca. 1936 Location: North and Central America: United States; District of Columbia, Washington Materials: gelatin silver print Image: 7.0866 x 8.937 in.; 18 x 22.7 cm Provenance: Transfer from the College of Architecture, Art and Planning Persistent URI: hdl.handle.net/1813.001/5sqt There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source. We had some help with the geocoding from Web Services by Yahoo!

Subjects

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

License

No known copyright restrictions

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6.055J 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 | waves

License

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.htm

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The Capitol and Mall, Washington, D. C.

Description

Collection: A. D. White Architectural Photographs, Cornell University Library Accession Number: 15/5/3090.00602 Title: The Capitol and Mall, Washington, D. C. Photographer: Fairchild Aerial Surveys Photograph date: ca. 1930-ca. 1938 Location: North and Central America: United States; District of Columbia, Washington Materials: gelatin silver print Image: 6.9291 x 9.0551 in.; 17.6 x 23 cm Provenance: Transfer from the College of Architecture, Art and Planning Persistent URI: hdl.handle.net/1813.001/5sqv There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source. We had some help with the geocoding from Web Services by Yahoo!

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=accessionnumber

License

No known copyright restrictions

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Tangram

Description

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

Subjects

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

License

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

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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.

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 | arrows

License

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.htm

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Numbers

Description

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 | X000

License

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/

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