• Thumbnail for Bertrand's theorem
    In classical mechanics, Bertrand's theorem states that among central-force potentials with bound orbits, there are only two types of central-force (radial)...
    13 KB (2,568 words) - 14:51, 25 May 2025
  • reflection method, although André did not use any reflections. Bertrand's ballot theorem is related to the cycle lemma. They give similar formulas, but...
    17 KB (3,068 words) - 06:52, 26 April 2025
  • Thumbnail for Bertrand's postulate
    guaranteed by Bertrand's postulate. So Bertrand's postulate is comparatively weaker than the PNT. But PNT is a deep theorem, while Bertrand's Postulate can...
    18 KB (2,606 words) - 01:41, 12 April 2025
  • Thumbnail for Joseph Bertrand
    Bertrand's postulate – Existence of a prime number between any number and its double Bertrand's theorem – Physics theorem Bertrand's ballot theorem –...
    9 KB (758 words) - 12:56, 12 December 2024
  • on price Bertrand's theorem, a theorem in classical mechanics Bertrand's postulate, a theorem about the distribution of prime numbers Bertrand, Count of...
    1 KB (157 words) - 02:46, 15 December 2023
  • mathematical study of the differential geometry of surfaces, the Bertrand–Diguet–Puiseux theorem expresses the Gaussian curvature of a surface in terms of the...
    2 KB (240 words) - 05:59, 6 June 2021
  • conditions, i.e., return to their starting point with the same velocity (Bertrand's theorem).: 92  The Kepler problem also conserves the Laplace–Runge–Lenz vector...
    9 KB (1,558 words) - 10:06, 17 May 2025
  • indefinitely, no matter what its initial position or velocity. As shown by Bertrand's theorem, this property is not true for other types of forces; in general,...
    57 KB (7,584 words) - 22:06, 21 January 2025
  • Thumbnail for Central force
    {\displaystyle F(\mathbf {r} )} proportional to r only and negative. By Bertrand's theorem, these two, F ( r ) = − k / r 2 {\displaystyle F(\mathbf {r} )=-k/r^{2}}...
    4 KB (607 words) - 16:25, 16 May 2025
  • Thumbnail for Quantum harmonic oscillator
    potential – Model for the potential energy of a diatomic molecule Bertrand's theorem – Physics theorem Mehler kernel Molecular vibration – Periodic motion of the...
    44 KB (6,952 words) - 15:54, 11 April 2025
  • Thumbnail for Apsidal precession
    distance and hence execute closed elliptical orbits according to Bertrand's theorem. Non-spherical mass effects are caused by the application of external...
    17 KB (1,819 words) - 00:26, 29 March 2025
  • rigidity theorem, about the signature of a quadratic form. Sylvester's theorem on the product of k consecutive integers > k, that generalizes Bertrand's postulate...
    1 KB (205 words) - 06:16, 9 July 2020
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...
    104 KB (11,739 words) - 07:16, 3 May 2025
  • Chebyshev's theorem is any of several theorems proven by Russian mathematician Pafnuty Chebyshev. Bertrand's postulate, that for every n there is a prime...
    734 bytes (137 words) - 01:03, 2 April 2023
  • Euclid's theorem, since lim x → ∞ x log ⁡ x = ∞ . {\displaystyle \lim _{x\rightarrow \infty }{\frac {x}{\log x}}=\infty .} In number theory, Bertrand's postulate...
    22 KB (3,427 words) - 16:29, 19 May 2025
  • In mathematics, Bertrand's postulate (now a theorem) states that, for each n ≥ 2 {\displaystyle n\geq 2} , there is a prime p {\displaystyle p} such that...
    10 KB (1,983 words) - 01:22, 19 May 2025
  • chapter on perturbation theory, a new section on Bertrand's theorem, and another on Noether's theorem. Other arguments and proofs were simplified and supplemented...
    14 KB (1,676 words) - 18:52, 3 October 2024
  • However, since most central forces do not produce closed orbits (see Bertrand's theorem), the analogous vector A {\displaystyle {\mathcal {A}}} rarely has...
    79 KB (10,218 words) - 19:44, 20 May 2025
  • Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...
    28 KB (2,933 words) - 21:40, 29 March 2025
  • Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
    92 KB (12,173 words) - 10:15, 18 May 2025
  • problem General relativity Two-body problem in general relativity Bertrand's theorem Goldstein, Herbert (1980). Classical mechanics. Reading, Mass.: Addison-Wesley...
    9 KB (1,771 words) - 10:48, 3 April 2025
  • from itself Bertrand's theorem – Physics theorem Hyperbolic spiral – Spiral asymptotic to a line Newton's theorem of revolving orbits – Theorem in classical...
    9 KB (1,153 words) - 01:19, 3 June 2024
  • Behrend's theorem (number theory) Bertrand's postulate (number theory) Birch's theorem (algebraic number theory) Bombieri's theorem (number theory) Bombieri–Friedlander–Iwaniec...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Important to note, Bertrand's model of price competition leads to a perfect competitive outcome. This is known as the Bertrand paradox; as two competitors...
    25 KB (3,414 words) - 17:42, 22 May 2025
  • manufacture and distribute, and two firms rarely have identical costs. Bertrand's result is paradoxical because if the number of firms goes from one to...
    10 KB (1,303 words) - 00:40, 24 May 2025
  • Thumbnail for Arrow's impossibility theorem
    Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...
    69 KB (6,509 words) - 12:32, 24 May 2025
  • Thumbnail for Buckingham π theorem
    Buckingham π theorem is a key theorem in dimensional analysis. It is a formalisation of Rayleigh's method of dimensional analysis. Loosely, the theorem states...
    33 KB (5,492 words) - 19:20, 23 May 2025
  • proofs: Bertrand's postulate and a proof Estimation of covariance matrices Fermat's little theorem and some proofs Gödel's completeness theorem and its...
    6 KB (593 words) - 20:11, 5 June 2023
  • logarithmic integral Legendre's constant Skewes' number Bertrand's postulate Proof of Bertrand's postulate Proof that the sum of the reciprocals of the...
    10 KB (938 words) - 19:59, 21 December 2024
  • distribution Polygamma function Primorial Proof of Bertrand's postulate Sierpinski triangle Star of David theorem Stirling number Stirling transform Stirling's...
    2 KB (220 words) - 05:14, 5 March 2025