statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency to decrease in the quantity H (defined below) in a nearly-ideal...
32 KB (4,244 words) - 20:51, 2 July 2024
In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one...
35 KB (6,867 words) - 13:59, 2 August 2024
In mathematics and physics, the Poincaré recurrence theorem states that certain dynamical systems will, after a sufficiently long but finite time, return...
12 KB (1,789 words) - 17:31, 24 July 2024
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...
31 KB (4,869 words) - 23:43, 14 August 2024
N\hookrightarrow W} are homotopy equivalences. The h-cobordism theorem gives sufficient conditions for an h-cobordism to be trivial, i.e., to be C-isomorphic...
12 KB (1,882 words) - 17:14, 30 July 2024
Stokes' theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls or simply the curl theorem, is...
28 KB (4,713 words) - 14:14, 26 July 2024
Schröder–Bernstein theorem states that, if there exist injective functions f : A → B and g : B → A between the sets A and B, then there exists a bijective function h :...
20 KB (2,266 words) - 07:59, 5 August 2024
theorem states that if H is a subgroup of any finite group G, then |H| is a divisor of |G|, i.e. the order (number of elements) of every subgroup H divides...
17 KB (2,244 words) - 13:28, 5 August 2024
mathematics, specifically differential calculus, the inverse function theorem gives a sufficient condition for a function to be invertible in a neighborhood...
39 KB (7,303 words) - 00:11, 8 August 2024
mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized...
25 KB (3,630 words) - 02:59, 18 May 2024