phenomenon 49.8 The white-dwarf luminosity function has an edge
open in the book ·
parts/05-general-relativity-cosmology/08-compact-stars.tex:508
· p. 1346
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
-
depends_on
proposition 49.2
Ground-state pressure of the ideal Fermi gas
¶
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depends_on
phenomenon 83.1
Exclusion, and the lengths of the periods
¶
- proves derived proof ch:07-identical-particles@proof-1 ¶
-
depends_on
theorem 40.5
Energy–momentum relation
¶
-
depends_on
definition 40.4
Four-momentum
¶
-
depends_on
definition 40.2
Four-velocity
¶
- depends_on definition 38.12 Proper time ¶
- depends_on definition 40.1 Four-vector ¶
-
depends_on
definition 40.2
Four-velocity
¶
-
depends_on
proposition 40.3
Normalization of the four-velocity
¶
-
depends_on
definition 38.6
Minkowski metric and interval
¶
- depends_on proposition 38.5 The invariant interval ¶
- depends_on equation 40.2 eq:rdyn-fourvelocity ¶
- proves proof ch:04-relativistic-dynamics@proof-1 ¶
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depends_on
definition 38.6
Minkowski metric and interval
¶
- proves proof ch:04-relativistic-dynamics@proof-2 ¶
-
depends_on
definition 40.4
Four-momentum
¶
- proves proof ch:08-compact-stars@proof-2 ¶
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depends_on
phenomenon 83.1
Exclusion, and the lengths of the periods
¶
-
depends_on
proposition 31.16
Hydrostatic balance
¶
-
depends_on
definition 31.1
Fluid
¶
-
depends_on
theorem 30.18
Cauchy: the stress tensor exists
¶
-
depends_on
definition 30.17
Traction
¶
- depends_on definition 7.126 Line and surface integrals ¶
- depends_on definition 30.2 Representative volume element; continuum field ¶
-
depends_on
definition 13.5
Tensor under orthogonal transformations
¶
- depends_on definition 13.4 Orthogonal coordinate transformation ¶
- proves proof ch:13-continuum-elasticity@proof-7 ¶
-
depends_on
definition 30.17
Traction
¶
-
depends_on
theorem 30.18
Cauchy: the stress tensor exists
¶
-
depends_on
theorem 30.21
Cauchy's equation of motion
¶
-
depends_on
theorem 7.133
Gauss
¶
-
depends_on
definition 7.127
Simple regions
¶
- depends_on definition 7.98 Functions of class $C^{1}$ ¶
- depends_on definition 6.9 Compact set ¶
-
depends_on
remark 7.128
What the derivations below take as given
¶
- depends_on definition 7.125 Multiple integral ¶
- depends_on theorem 7.40 Continuous functions are integrable ¶
- depends_on theorem 7.25 Heine–Cantor: uniform continuity ¶
-
depends_on
theorem 7.43
Fundamental theorem of calculus, II
¶
- depends_on definition 7.41 Antiderivative ¶
- depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
- proves proof ch:05-real-analysis@proof-25 ¶
- proves proof ch:05-real-analysis@proof-79 ¶
-
depends_on
definition 7.127
Simple regions
¶
- depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
- proves proof ch:13-continuum-elasticity@proof-9 ¶
-
depends_on
theorem 7.133
Gauss
¶
- proves proof ch:14-fluid-dynamics@proof-7 ¶
-
depends_on
definition 31.1
Fluid
¶
-
depends_on
proposition 52.9
Radiative diffusion
¶
- depends_on equation 68.2 eq:bb-stefan-boltzmann ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-6 ¶
- proves proof ch:08-compact-stars@proof-7 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Core crystallization and pile-up in the cooling sequence of evolving white dwarfs | derived | parts/05-general-relativity-cosmology/08-compact-stars.tex:523 |
cites |
→ | An Independent Method for Determining the Age of the Universe | derived | parts/05-general-relativity-cosmology/08-compact-stars.tex:515 |
cites |
→ | An Independent Method for Determining the Age of the Universe | derived | parts/05-general-relativity-cosmology/08-compact-stars.tex:518 |
depends_on |
→ | Ground-state pressure of the ideal Fermi gas | declared | parts/05-general-relativity-cosmology/08-compact-stars.tex:524 |
depends_on |
→ | Hydrostatic balance | declared | parts/05-general-relativity-cosmology/08-compact-stars.tex:524 |
depends_on |
→ | Radiative diffusion | declared | parts/05-general-relativity-cosmology/08-compact-stars.tex:524 |
proves |
← | ch:08-compact-stars@proof-7 | declared | parts/05-general-relativity-cosmology/08-compact-stars.tex:528 |