In classical mechanics, Bertrand's theorem states that among central-force potentials with bound orbits, there are only two types of central-force (radial)...

reflection method, although André did not use any reflections. Bertrand's ballot theorem is related to the cycle lemma. They give similar formulas, but...

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...

Bertrand's postulate – Existence of a prime number between any number and its double Bertrand's theorem – Physics theorem Bertrand's ballot theorem –...

on price Bertrand's theorem, a theorem in classical mechanics Bertrand's postulate, a theorem about the distribution of prime numbers Bertrand, Count of...

mathematical study of the differential geometry of surfaces, the Bertrand–Diguet–Puiseux theorem expresses the Gaussian curvature of a surface in terms of the...

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...

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,...

{\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}}...

potential – Model for the potential energy of a diatomic molecule Bertrand's theorem – Physics theorem Mehler kernel Molecular vibration – Periodic motion of the...

distance and hence execute closed elliptical orbits according to Bertrand's theorem. Non-spherical mass effects are caused by the application of external...

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...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...

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...

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...

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...

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...

However, since most central forces do not produce closed orbits (see Bertrand's theorem), the analogous vector A {\displaystyle {\mathcal {A}}} rarely has...

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...

problem General relativity Two-body problem in general relativity Bertrand's theorem Goldstein, Herbert (1980). Classical mechanics. Reading, Mass.: Addison-Wesley...

from itself Bertrand's theorem – Physics theorem Hyperbolic spiral – Spiral asymptotic to a line Newton's theorem of revolving orbits – Theorem in classical...

Behrend's theorem (number theory) Bertrand's postulate (number theory) Birch's theorem (algebraic number theory) Bombieri's theorem (number theory) Bombieri–Friedlander–Iwaniec...

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...

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...

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...

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...

proofs: Bertrand's postulate and a proof Estimation of covariance matrices Fermat's little theorem and some proofs Gödel's completeness theorem and its...

logarithmic integral Legendre's constant Skewes' number Bertrand's postulate Proof of Bertrand's postulate Proof that the sum of the reciprocals of the...

distribution Polygamma function Primorial Proof of Bertrand's postulate Sierpinski triangle Star of David theorem Stirling number Stirling transform Stirling's...