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Weyl H. — Space, Time, Matter
Weyl H. — Space, Time, Matter

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Название: Space, Time, Matter

Автор: Weyl H.

Язык: en

Рубрика: Физика/Гравитационное взаимодействие/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1922

Количество страниц: 330

Добавлена в каталог: 09.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\AE ther$ (as a substance)      160
$\AE ther$ (in a generalised sense)      169 311
Aberration      160 186
Abscissa      9
Acceleration      115
Action (cf Hamilton's Function)      210
Action (cf Hamilton's Function), principle of      211
Action (cf Hamilton's Function), quantum of      284 285
Active past and future      175
Addition of tensors      43
Addition, of tensor-densities      110
Addition, of vectors      17
Adjustment and persistence      308
Affine geometry (infinitesimal)      112
Affine geometry (linear Euclidean)      16
Affine manifold      102
Affine relationship of a metrical space      125
Affine transformation      21
Allowable systems      177
Analysis situs      273 279
Angles, measurement of      13 29
Angles, right      13 29
Angular velocity      47
Associative law      17
Asymptotic straight line      77 78
Atom Bohr's      71 303
Axioms of affine geometry      17
Axioms of affine geometry (infinitesimal)      124
Axioms of metrical geometry (Euclidean)      27
Axis of rotation      13
BETWEEN      12
Bilinear form      26
Biot and Savart's law      73
Bohr's model of the atom      71 303
Bolyai's geometry      79 80
Calibration      121
Calibration (geodetic)      127
Canonical cylindrical co-ordinates      266
Cartesian co-ordinate systems      29
Cathode rays      198
Causality, principle of      207
Cayley's measure-determination      82
Centrifugal forces      222 223
Charge (as a substance)      214
Charge (generally)      269 294
Christoffel's 3-indices symbols      132
clocks      7 307
Co-gredient transformations      41 42
Co-ordinate systems      9
Co-ordinate systems, Cartesian      29
Co-ordinate systems, normal      173 313
Co-ordinates, (generally)      9
Co-ordinates, (hexaspherical)      286
Co-ordinates, (in a linear manifold)      17 28
Co-ordinates, curvilinear (or Gaussian)      86
Co-variant tensors      55
Co-variant tensors, (generally)      103
Commutative law      17
Components, co-variant and contra-variant (generally)      103
Components, co-variant and contra-variant (in a linear manifold)      103
Components, co-variant and contra-variant of a displacement      35
Components, co-variant and contra-variant of a tensor      37
Components, co-variant and contra-variant of a vector      20
Components, co-variant of the affine relationship      142
Conduction      195
Conductivity      76
Configuration, linear point      20
Congruent      11 81
Congruent transference      140
Congruent transformations      11 28
Conservation, law of, of electricity      269 271
Conservation, law of, of energy and momentum      292
Continuity equation of, of electricity      161
Continuity of mass      188
Continuous relationship      103 104
Continuum      84 85
Contra-gredient transformation      34
Contra-variant tensors      35
Contra-variant tensors (generally)      103
Contraction-hypothesis of Lorentz and Fitzgerald      171
Contraction-hypothesis, process of      48
Convection currents      195
Coriolis forces      222
Coulomb's law      73
Curl      60
Current, conduction      160
Current, convection      195
Current, electric      131
Curvature direction      126
Curvature, (generally)      118
Curvature, distance      124
Curvature, Gaussian      95
Curvature, of light rays in a gravitational field      245
Curvature, scalar of      134
Curvature, vector      118
Curve      85
Definite positive      27
Density (based on the notion of substance)      163 291
Density (general conception)      197
Density (of electricity and matter)      167 214 311
Dielectric      70
dielectric constant      72
Differentiation of tensors and tensor-densities      58
dimensions      19
Dimensions (positive and negative of a quadratic form)      81
Direction curvature      120
Displacement current      102
Displacement current, dielectric      70
Displacement current, electrical      71
Displacement current, infinitesimal of a point      103
Displacement current, of a vector      110
Displacement current, of space      38
Displacement current, towards red due to presence of great masses      246
Distance (generally)      121
Distance (in Euclidean geometry)      20
Distortion tensor      60
Distributive law      17
Divergence (div)      60
Divergence (div) (more general)      163 188
Doppler's Principle      185
Earlier and later      7 175
Einstein's law of gravitation      236
Einstein's Law of Gravitation (in its modified form)      291
Electrical charge (as a flux of force)      294
Electrical charge (as a substance)      214
Electrical current      131
Electrical displacement      162
Electrical intensity of field      65 161
Electrical momentum      208
Electrical pressure      208
Electricity, positive and negative      212
electromagnetic field      64
Electromagnetic field (origin in the metrics of the world)      282
Electromagnetic field and electrostatic units      101
Electromagnetic potential      165
Electromotive force      76
Electron      213 200
Electrostatic potential      73
Energy (acts gravitationally)      232 237
Energy (in the magnetic field)      73
Energy (possesses inertia)      204
Energy (total energy of a system)      301
Energy density (in the electric field)      70 167
Energy-momentum tensor (cf. Energy-momentum)      168
Energy-momentum tensor (for the whole system, including gravitation)      269
Energy-momentum tensor (general)      199
Energy-momentum tensor (in physical events)      292
Energy-momentum tensor (in the electromagnetic field)      168
Energy-momentum tensor (in the general theory of relativity)      269
Energy-momentum tensor (kinetic and potential)      199
Energy-momentum tensor (of an incompressible fluid)      205
Energy-momentum tensor (of the electromagnetic field)      291
Energy-momentum tensor (of the gravitational field)      269
Energy-momentum tensor theorem of (in the special theory of relativity)      168
Energy-steam or energy-flux      163
Eotvos experiment      225
Equality of time-lengths      7
Equality of vectors      118
Euclidean geometry      §1 4
Euclidean group of rotations      138
Euclidean manifolds, Chapter I (from the point of view of infinitesimal geometry)      119
Euler's equations      51
Faraday's Law of Induction      161 191
Fermat's principle      244
Field ("guiding" or gravitational)      283
Field (electromagnetic)      194
Field (general conception)      68
Field (metrical)      100
Field action of electricity      216
Field energy      166
Field energy of gravitation      231
Field forces (contrasted with inertial forces)      282
Field intensity of electrical      65
Field intensity of magnetic      75
Field momentum      168
Finitude of space      278
Fluid incompressible      262
force      38
Force (field force and inertial force)      282
Force (ponderomotive, of electrical field)      68
Force (ponderomotive, of electromagnetic field)      208
Force (ponderomotive, of gravitational field)      222
Force (ponderomotive, of magnetic field)      73
Force electric      68
Form, bilinear      26
Form, linear      22
Form, quadratic      27
Four-current (4-current)      165
Four-force (4-force)      167
Fresnel's convection coefficient      186
Future active and passive      177
Galilei's Principle of Relativity and Newton's Law of Inertia      149
Gaussian curvature      95
General principle of relativity      227 236
Geodetic calibration      127
Geodetic co-ordinate system      112
Geodetic lime (general)      114
Geodetic lime (in Riemann's space)      128
Geodetic null-line      127
Geodetic systems of reference      127
Geometry, affine      16
Geometry, Euclidean      §1 4
Geometry, infinitesimal      142
Geometry, metrical      27
Geometry, n-dimensional      19 25
Geometry, non-Euclidean (Bolyai — Lobatschefsky)      79 80
Geometry, on a surface      87
Geometry, Riemann's      84
Geometry, spherical      266
Gradient      59
Gradient (generalised)      106
Gravitation Einstein's Law of (general form)      236
Gravitation Einstein's Law of (modified form)      291
Gravitation Newton's law of      229
Gravitational constant      243
Gravitational energy      268
Gravitational field      240
Gravitational mass      225
Gravitational potential      243
Gravitational radius of a great mass      255
Gravitational waves      §30 248
Groundform, (in general)      140
Groundform, metrical (of a linear manifold)      28
groups      9
Groups infinitesimal      144
Groups of rotations      138
Groups of translations      15
Hamilton's function      209
Hamilton's principle (according to Maxwell and Lorentz)      236
Hamilton's principle (according to Mie)      209
Hamilton's principle (in the general theory of relativity)      292
Hamilton's principle (in the special theory of relativity)      216
Height of displacement      158
Hexaspherical co-ordinates      286
Homogeneity of space      91
Homogeneity of the world      155
Homogeneous linear equations      24
Homologous points      11
Hydro-dynamics      205 263
Hydro-static pressure      205 263
Impulse (momentum)      44
Independent vectors      19
Induction, law of      161 191
Induction, magnetic      75
Inertia (as property of energy)      202
Inertia moment of      48
Inertia principle of (Galilei's and Newton's)      152
Inertial force      301
Inertial index      30
Inertial law of quadratic forms      30
Inertial mass      225
Inertial moment      48
Infinitesimal displacement      110
Infinitesimal geometry      142
Infinitesimal group      144
Infinitesimal operation of a group      142
Infinitesimal rotations      146
Integrable      108
Intensity of field      65 161
Intensity quantities      109
Joule (heat equivalent)      162
Klein's model      80
later      5
Light, electromagnetic theory,of      164
Light, ray      183
Light, ray (curved in gravitational field)      245
Line straight (generally)      18
Line straight (in Euclidean geometry)      12
Line straight geodetic      114
Line-element (generally)      103
Line-element (in Euclidean geometry)      56
Linear equation, point-configuration      20
Linear equation, tensor      57 104
Linear equation, tensor-density      105 109
Linear equation, vector manifold      19
Linear equation, vector transformation      21 22
Linearly independent      19
Lobatschefsky's geometry      79 80
Lorentz transformation      166
Lorentz — Einstein Theorem of Relativity      165
Lorentz — FitzGerald contraction      171
Magnetic induction      75
Magnetic intensity of field      75
Magnetic permeability      75
Magnetisation      75
Magnetism      74
Magnitudes      99
Manifold metrical      102 121
Manifold, affinely connected      112
Manifold, discrete      97
Mass (as a flux of force)      305
Mass (as energy)      204
Mass (producing a gravitational field)      303 306
Mass inertial and gravitational      225
Matrix      39
Matter      68 203 272
Matter, flux of      188
Maxwell's application of stationary case to Riemann's space      130
Maxwell's density of action      286
Maxwell's stresses      75
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