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Jensen's inequality generalizes the statement that a secant line of a convex function lies above its graph. Visualizing convexity and Jensen's inequality. In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function.
Separation of variables may be possible in some coordinate systems but not others, [2] and which coordinate systems allow for separation depends on the symmetry properties of the equation. [3] Below is an outline of an argument demonstrating the applicability of the method to certain linear equations, although the precise method may differ in ...
Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0). A quadratic equation whose coefficients are real numbers can have either zero, one, or two distinct real-valued solutions, also called roots.
The highest court in Maine ruled Tuesday against a law that retroactively removed the statute of limitations for civil child sexual abuse lawsuits, concluding a tense chapter in a yearslong legal ...
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act).( ) Yes(X) No Indicate the number of shares outstanding of each of the issuer's classes of common stock, as of the latest practicable date. On October 26, 2008 2,774,568,107 shares of Common Stock, $1.00 par value, were outstanding.
Two DC legends have come together — and fans are freaking out! On Tuesday, Feb. 4, Mark Hamill revealed in an Instagram post that he and The Penguin actor Colin Farrell had shared a fun moment ...
The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);