enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Noether's theorem - Wikipedia

    en.wikipedia.org/wiki/Noether's_theorem

    Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law. This is the first of two theorems (see Noether's second theorem ) published by the mathematician Emmy Noether in 1918. [ 1 ]

  3. Isomorphism theorems - Wikipedia

    en.wikipedia.org/wiki/Isomorphism_theorems

    An application of the second isomorphism theorem identifies projective linear groups: for example, the group on the complex projective line starts with setting = ⁡ (), the group of invertible 2 × 2 complex matrices, = ⁡ (), the subgroup of determinant 1 matrices, and the normal subgroup of scalar matrices = {():}, we have = {}, where is ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Envelope theorem (calculus of variations) Isoperimetric theorem (curves, calculus of variations) Minimax theorem (game theory) Mountain pass theorem (calculus of variations) Noether's second theorem (calculus of variations, physics) Parthasarathy's theorem (game theory) Sion's minimax theorem (game theory) Tonelli's theorem (functional analysis)

  5. Emmy Noether - Wikipedia

    en.wikipedia.org/wiki/Emmy_Noether

    Her work on differential invariants in the calculus of variations, Noether's theorem, has been called "one of the most important mathematical theorems ever proved in guiding the development of modern physics". [11] In the second epoch (1920–1926), she began work that "changed the face of [abstract] algebra". [12]

  6. Brill–Noether theory - Wikipedia

    en.wikipedia.org/wiki/Brill–Noether_theory

    For a given genus g, the moduli space for curves C of genus g should contain a dense subset parameterizing those curves with the minimum in the way of special divisors. One goal of the theory is to 'count constants', for those curves: to predict the dimension of the space of special divisors (up to linear equivalence) of a given degree d, as a function of g, that must be present on a curve of ...

  7. Symmetry of second derivatives - Wikipedia

    en.wikipedia.org/wiki/Symmetry_of_second_derivatives

    In mathematical analysis, Schwarz's theorem (or Clairaut's theorem on equality of mixed partials) [9] named after Alexis Clairaut and Hermann Schwarz, states that for a function : defined on a set , if is a point such that some neighborhood of is contained in and has continuous second partial derivatives on that neighborhood of , then for all i ...

  8. Noether identities - Wikipedia

    en.wikipedia.org/wiki/Noether_identities

    Noether identities need not be independent, but satisfy first-stage Noether identities, which are subject to the second-stage Noether identities and so on. Higher-stage Noether identities also are separated into the trivial and non-trivial once. A degenerate Lagrangian is called reducible if there exist non-trivial higher-stage Noether identities.

  9. Gauge symmetry (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Gauge_symmetry_(mathematics)

    Being Lagrangian symmetries, gauge symmetries of a Lagrangian satisfy Noether's first theorem, but the corresponding conserved current takes a particular superpotential form = + where the first term vanishes on solutions of the Euler–Lagrange equations and the second one is a boundary term, where is called a superpotential.