When.com Web Search

Search results

  1. Results From The WOW.Com Content Network
  2. Cauchy–Schwarz inequality - Wikipedia

    en.wikipedia.org/wiki/CauchySchwarz_inequality

    CauchySchwarz inequality (Modified Schwarz inequality for 2-positive maps [27]) — For a 2-positive map between C*-algebras, for all , in its domain, () ‖ ‖ (), ‖ ‖ ‖ ‖ ‖ ‖. Another generalization is a refinement obtained by interpolating between both sides of the CauchySchwarz inequality:

  3. Cauchy's estimate - Wikipedia

    en.wikipedia.org/wiki/Cauchy's_estimate

    In mathematics, specifically in complex analysis, Cauchy's estimate gives local bounds for the derivatives of a holomorphic function. These bounds are optimal. These bounds are optimal. Cauchy's estimate is also called Cauchy's inequality , but must not be confused with the CauchySchwarz inequality .

  4. QM-AM-GM-HM inequalities - Wikipedia

    en.wikipedia.org/wiki/QM-AM-GM-HM_Inequalities

    There are three inequalities between means to prove. There are various methods to prove the inequalities, including mathematical induction, the CauchySchwarz inequality, Lagrange multipliers, and Jensen's inequality. For several proofs that GM ≤ AM, see Inequality of arithmetic and geometric means.

  5. Cauchy–Binet formula - Wikipedia

    en.wikipedia.org/wiki/Cauchy–Binet_formula

    In mathematics, specifically linear algebra, the Cauchy–Binet formula, named after Augustin-Louis Cauchy and Jacques Philippe Marie Binet, is an identity for the determinant of the product of two rectangular matrices of transpose shapes (so that the product is well-defined and square). It generalizes the statement that the determinant of a ...

  6. Coherence (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Coherence_(signal_processing)

    In cases where the ideal linear system assumptions are insufficient, the CauchySchwarz inequality guarantees a value of . If C xy is less than one but greater than zero it is an indication that either: noise is entering the measurements, that the assumed function relating x(t) and y(t) is not linear, or that y(t) is producing output due to ...

  7. Binet–Cauchy identity - Wikipedia

    en.wikipedia.org/wiki/Binet–Cauchy_identity

    A general form, also known as the Cauchy–Binet formula, states the following: Suppose A is an m×n matrix and B is an n×m matrix. If S is a subset of {1, ..., n} with m elements, we write A S for the m×m matrix whose columns are those columns of A that have indices from S.

  8. Second moment method - Wikipedia

    en.wikipedia.org/wiki/Second_moment_method

    The Paley–Zygmund inequality is sometimes used instead of the CauchySchwarz inequality and may occasionally give more refined results. Under the (incorrect) assumption that the events v , u in K are always independent, one has Pr ( v , u ∈ K ) = Pr ( v ∈ K ) Pr ( u ∈ K ) {\displaystyle \Pr(v,u\in K)=\Pr(v\in K)\,\Pr(u\in K)} , and ...

  9. Coercive function - Wikipedia

    en.wikipedia.org/wiki/Coercive_function

    A vector field f : R n → R n is called coercive if ‖ ‖ + ‖ ‖ +, where "" denotes the usual dot product and ‖ ‖ denotes the usual Euclidean norm of the vector x.. A coercive vector field is in particular norm-coercive since ‖ ‖ (()) / ‖ ‖ for {}, by CauchySchwarz inequality.