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1. Inequality: An inequality is a mathematical expression concerning the relative size of two terms. These come in five kinds; For example, 4 is greater than 3, so either; 4>3 3<4 are true statements. [100%] 2023-02-21 [Mathematics]
2. Inequality (mathematics): In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. (Mathematics) [100%] 2023-12-04 [Inequalities] [Elementary algebra]...
3. Inequality: A relation connecting two real numbers $ a _ {1} $ and $ a _ {2} $ by one of the symbols $ $( greater than), $ \geq $( greater than or equal to), $ \neq $( unequal to), that is, $$ a _ {1} a _ {2} ,\ \ a _ {1 ... (Mathematics) [100%] 2023-12-31
4. Jackson inequality: An inequality estimating the rate of decrease of the best approximation error of a function by trigonometric or algebraic polynomials in dependence on its differentiability and finite-difference properties. Let $ f $ be a $ 2 \pi $- periodic continuous function on the ... (Mathematics) [70%] 2023-10-21
5. Bonnesen inequality: One of the more precise forms of the isoperimetric inequality for convex domains in the plane. Let $K$ be a convex domain in the plane, let $r$ be the radius of the largest circle which can be inserted in $K ... (Mathematics) [70%] 2023-10-18
6. Favard inequality: The inequality $$ \tag{* } \| x \| _ {C [ 0, 2 \pi ] } \leq \ M K _ {r} n ^ {-r} ,\ \ r = 1, 2 \dots $$ where $$ K _ {r} = \ { \frac{4} \pi } \sum _ {k = 0 } ^ \infty (- 1) ^ {k ( r + 1) } ( 2k + 1) ^ {- r - 1 ... (Mathematics) [70%] 2023-12-17
7. Sobolev inequality: In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov theorem showing ... (Theorem about inclusions between Sobolev spaces) [70%] 2023-12-18 [Inequalities] [Sobolev spaces]...
8. Triangle inequality: In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. This statement permits the inclusion of degenerate triangles ... (Property of geometry, also used to generalize the notion of "distance" in metric spaces) [70%] 2023-12-19 [Geometric inequalities] [Linear algebra]...
9. Bogolyubov inequality: in statistical mechanics Bogolyubov's inequality for the free-energy functional is an inequality that gives rise to a variational principle of statistical mechanics. The following inequality is valid for any Hermitian operators $ U _ {1} $ and $ U _ {2 ... (Mathematics) [70%] 2023-10-17
10. Poincaré inequality: Let $f\in W^1_p(\mathbb R^n)$, $1\leqslant p < n$ and $p^* = \frac{np}{n-p}$ then the following inequality holds \begin{equation}\label{eq:1} \Bigl(\int\limits_{B}|f(x)-f_B|^{p^*}\,dx\Bigr)^{\frac{1 ... (Mathematics) [70%] 2023-10-24
11. Minkowski inequality: The proper Minkowski inequality: For real numbers $ x _ {i} , y _ {i} \geq 0 $, $ i = 1 \dots n $, and for $ p > 1 $, $$ \tag{1 } \left ( \sum _ { i= } 1 ^ { n } ( x _ {i} + y _ {i} ) \right ) ^ {1/p ... (Mathematics) [70%] 2023-10-02
12. Hilbert inequality: A theorem of D. Hilbert on double series: $$ \tag{* } \sum _ {m = 1 } ^ \infty \sum _ {n = 1 } ^ \infty \frac{a _ {n} b _ {m} }{n + m } 1,\ \ q = \frac{p}{p - 1 } ,\ \. (Mathematics) [70%] 2023-09-24
13. Durable Inequality (Charles Tilly): Durable Inequality est un livre du sociologue américain Charles Tilly publié en 1998 par University of California Press. Il est le premier ouvrage majeur sur les inégalités de l'auteur. (Charles Tilly) [70%] 2023-10-06
14. Inequality Reexamined: Inequality Reexamined is a 1992 book by the economist Amartya Sen. In the book Sen evaluates the different perspectives of the general notion of inequality, focusing mainly on his well-known capability approach. (Philosophy) [70%] 2023-04-29 [Philosophy books]
15. Lojasiewicz inequality: An inequality on real analytic functions proved by S. Lojasiewicz in (see also Liouville-Lojasiewicz inequality). (Mathematics) [70%] 2023-10-27
16. Housing inequality: Housing inequality is a disparity in the quality of housing in a society which is a form of economic inequality. The right to housing is recognized by many national constitutions, and the lack of adequate housing can have adverse consequences ... (Finance) [70%] 2023-11-29 [Economic inequality]
17. FKG inequality: Fortuin–Kasteleyn–Ginibre inequality An inequality that began a series of correlation inequalities for finite partially ordered sets. Let $ \Gamma $ be a finite partially ordered set ordered by $ \prec $( irreflexive, transitive) with $ ( \Gamma, \prec ) $ a distributive lattice: $ a \lor b ... (Mathematics) [70%] 2023-12-12
18. Interpolation inequality: In the field of mathematical analysis, an interpolation inequality is an inequality of the form where for \displaystyle{ 0\leq k \leq n }[/math], \displaystyle{ u_k }[/math] is an element of some particular vector space \displaystyle{ X_k }[/math] equipped with ... [70%] 2023-12-17 [Inequalities] [Sobolev spaces]...
19. Berger inequality: For a compact Riemannian manifold $M = M ^ { n }$, let \begin{equation*} \operatorname {inj} M = \operatorname { inf } _ { p \in M } \operatorname { sup } \{ r : \operatorname { exp } _ { p } \text { injective on } B _ { r } ( 0 ) \subset T _ { p } M \}, \end ... (Mathematics) [70%] 2023-10-26
20. Riesz inequality: Let $ \{ \phi _ {n} \} $ be an orthonormal system of functions on an interval $ [ a, b] $ and let $ | \phi _ {n} | \leq M $ almost everywhere on $ [ a, b] $ for any $ n $. a) If $ f \in L _ {p} [ a, b] $, $ 1 ... (Mathematics) [70%] 2023-12-04