Inequality
71Nesbitt's inequality — In mathematics, Nesbitt s inequality is a special case of the Shapiro inequality. It states that for positive real numbers a, b and c we have: Contents 1 Proof 1.1 First proof …
72IQ and Global Inequality — is a controversial 2006 book by psychologist Richard Lynn and political scientist Tatu Vanhanen.[1] IQ and Global Inequality is follow up to their 2002 book IQ and the Wealth of Nations,[ …
73Prékopa-Leindler inequality — In mathematics, the Prékopa Leindler inequality is an integral inequality closely related to the reverse Young s inequality, the Brunn Minkowski inequality and a number of other important and classical inequalities in analysis. The result is… …
74Wirtinger's inequality for functions — For other inequalities named after Wirtinger, see Wirtinger s inequality. In mathematics, historically Wirtinger s inequality for real functions was an inequality used in Fourier analysis. It was named after Wilhelm Wirtinger. It was used in 1904 …
75Loewner's torus inequality — In differential geometry, Loewner s torus inequality is an inequality due to Charles Loewner for the systole of an arbitrary Riemannian metric on the 2 torus.tatementIn 1949 Charles Loewner proved that every metric on the 2 torus mathbb T^2… …
76Pu's inequality — [ Roman Surface representing RP2 in R3] In differential geometry, Pu s inequality is an inequality proved by P. M. Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2.tatementA student of Charles Loewner s, P.M.… …
77Muirhead's inequality — In mathematics, Muirhead s inequality, named after Robert Franklin Muirhead, also known as the bunching method, generalizes the inequality of arithmetic and geometric means. Contents 1 Preliminary definitions 1.1 The a mean 1.2 Doubly stochastic… …
78Doob's martingale inequality — In mathematics, Doob s martingale inequality is a result in the study of stochastic processes. It gives a bound on the probability that a stochastic process exceeds any given value over a given interval of time. As the name suggests, the result… …
79Weitzenböck's inequality — In mathematics, Weitzenböck s inequality states that for a triangle of side lengths a, b, c, and area Delta, the following inequality holds:: a^2 + b^2 + c^2 geq 4sqrt{3}, Delta. Equality occurs if and only if the triangle is equilateral. Pedoe s …
80Gromov's inequality for complex projective space — In Riemannian geometry, Gromov s optimal stable 2 systolic inequality is the inequality: mathrm{stsys} 2{}^n leq n!;mathrm{vol} {2n}(mathbb{CP}^n),valid for an arbitrary Riemannian metric on the complex projective space, where the optimal bound… …
