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Inequality (mathematics)

Index Inequality (mathematics)

In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality). [1]

270 relations: Additional Mathematics, Admissible decision rule, American Regions Mathematics League, Amstrad CP/M Plus character set, Andrica's conjecture, Antisymmetric relation, Apollonius of Perga, Area theorem (conformal mapping), Asymmetric relation, Atari ST character set, , Bar (diacritic), Barrow's inequality, Bekenstein bound, Below, Bennett's inequality, Bernoulli's inequality, Bessel's inequality, Bicentric quadrilateral, Bihari–LaSalle inequality, Binary relation, Bitstream International Character Set, Body and Brain Connection, Bogomol'nyi–Prasad–Sommerfield bound, Bonnesen's inequality, Borell–Brascamp–Lieb inequality, Bracket, Brunn–Minkowski theorem, C (programming language), Capital in the Twenty-First Century, Carleman's inequality, Casio Algebra FX Series, Casio calculator character sets, Cauchy–Schwarz inequality, Chebyshev–Markov–Stieltjes inequalities, Clinical nutrition, Code page 1118, Code page 259, Code page 293, Code page 310, Code page 351, Code page 437, Code page 668, Code page 737, Code page 770, Code page 860, Code page 861, Code page 862, Code page 863, Code page 866, ..., Code page 867, Code page 907, Code page 922, Comparison, Conformal dimension, Constraint (mathematics), Contact dynamics, Contour set, Crossing number inequality, Crux Mathematicorum, Cube (algebra), CWI-2, DEC Special Graphics, DEC Technical Character Set, Desmos (graphing), DG International, Differential variational inequality, Dimensional analysis, Direct proof, Dissipative operator, EBCDIC 264, EBCDIC 352, Egorov's theorem, Eilenberg's inequality, Elementary mathematics, EPR paradox, Equality (mathematics), Equation, Ermelinda DeLaViña, Esperanto orthography, Etemadi's inequality, Euclidean space, Exponential sum, Extended Latin-8, Fatou's lemma, Fatou–Lebesgue theorem, Fauve (collective), Feasible region, Filename, Finitary relation, FOCAL character set, Futoshiki, Ge, GEM character set, German keyboard layout, Global Television Network, Goldbach's conjecture, GOST 10859, Gradshteyn and Ryzhik, Greater, Greater-than sign, Half-space (geometry), Hardy's inequality, Harnack's inequality, Hölder's inequality, Height of a polynomial, Hermite–Hadamard inequality, History of mathematical notation, History of trigonometry, Hoeffding's lemma, HP Roman, Hyperplane, IEC-P27-1, Inequalities in information theory, Inequality, Inequation, Ingleton's inequality, International Mathematical Olympiad, Interval (mathematics), Interval contractor, Introduction to systolic geometry, ISO 6862, ISO IR-68, Isoperimetric inequality, JIS X 0208, Johan Jensen (mathematician), Josip Pečarić, Jung's theorem, Kamenický encoding, Kissing number problem, Kneser's theorem (combinatorics), Kolmogorov's inequality, KPS 9566, KS X 1001, Ky Fan inequality, Ky Fan's inequality, Lagrangian coherent structure, Language of mathematics, Lars-Erik Persson, LEQ, Less-than sign, Level of measurement, Linear inequality, Linear partial information, List of computer algebra systems, List of inequalities, List of lemmas, List of mathematical symbols, List of mathematical symbols by subject, List of order theory topics, List of real analysis topics, List of triangle inequalities, List of types of numbers, Loewner's torus inequality, Log sum inequality, Logic optimization, Lotus International Character Set, Lotus Multi-Byte Character Set, LT, Mac OS Celtic, Mac OS Gaelic, Mac OS Roman, MacGreek encoding, Macintosh Central European encoding, Maclaurin's inequality, Magic number (oil), Markov brothers' inequality, Math Girls, Mathematics education in New York, Mazovia encoding, Mental operations, Metric map, MIK (character set), Minkowski–Bouligand dimension, Mountain research, MSX character set, Multiple integral, Mxparser, N-terminal prohormone of brain natriuretic peptide, N-Triples, NEC APC character set, Negative number, Nesbitt's inequality, New Math, Newton's inequalities, Neyman–Pearson lemma, Nonlinear programming, NuCalc, Number sense, Number sentence, OMS encoding, On Numbers and Games, Operator (computer programming), Orders of magnitude (acceleration), Outline of discrete mathematics, Peetre's inequality, Pierre Hérigone, Pinsker's inequality, Polar sine, Polyhedral combinatorics, Popoviciu's inequality, Population proportion, Prékopa–Leindler inequality, Pregnanetriol, Progesterone, Proper transfer function, Ptolemy's inequality, Pushing on a string, Rayleigh–Faber–Krahn inequality, Real algebraic geometry, Real coordinate space, Reference ranges for blood tests, Relational operator, Resistor–transistor logic, Revealed preference, Rheumatoid arthritis, Ring of periods, RPL character set, Satisfiability modulo theories, Sbrk, Schur's inequality, Shapiro inequality, Sharp pocket computer character sets, Sides of an equation, Sign (mathematics), Signorini problem, Simon (computer), Small number, Sputtering, Square One Television, Stanford Extended ASCII, Stanley's reciprocity theorem, Steffensen's inequality, Strict, Subadditivity, Subset, Super Boy Allan, Superadditivity, Symbol (typeface), Table of mathematical symbols by introduction date, Talagrand's concentration inequality, Tamás Erdélyi (mathematician), Tampa Bay Rays, Tangential quadrilateral, Tarski–Seidenberg theorem, Tatyana Shaposhnikova, Themistocles M. Rassias, TI calculator character sets, Tilde, Timeline of quantum mechanics, Trace inequalities, Triangle inequality, Tupper's self-referential formula, Uncertainty principle, Unit sphere, United States of America Mathematical Olympiad, Universal algebra, Upper and lower bounds, Variational inequality, Vertical bar, Welch bounds, Western Latin character sets (computing), Willerton's fish, Wirtinger's inequality, Wirtinger's inequality for functions, Worldwide Online Olympiad Training, Xerox Character Code Standard, Young's convolution inequality, Young's inequality for products, 5040 (number). Expand index (220 more) »

Additional Mathematics

Additional Mathematics is a UK qualification pilot scheme in its final year of implementation for a GCSE level qualification in mathematics which is applied to a range of problems set out in a different format to the standard Mathematics GCSE.

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Admissible decision rule

In statistical decision theory, an admissible decision rule is a rule for making a decision such that there is not any other rule that is always "better" than it (or at least sometimes better and never worse), in the precise sense of "better" defined below.

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American Regions Mathematics League

The American Regions Mathematics League (ARML), is an annual, national high school mathematics team competition held simultaneously at four locations in the United States: the University of Iowa, Penn State, UNLV, and the newly added site at the University of Georgia.

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Amstrad CP/M Plus character set

The Amstrad CP/M Plus character set (alternatively known as PCW character set or ZX Spectrum +3 character set) refers to a group of 8-bit character sets introduced by Amstrad/Locomotive Software for use in conjunction with their adaptation of Digital Research's CP/M Plus on various Amstrad CPC / Schneider CPC and Amstrad PCW / Schneider Joyce machines.

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Andrica's conjecture

Andrica's conjecture (named after Dorin Andrica) is a conjecture regarding the gaps between prime numbers.

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Antisymmetric relation

In mathematics, a binary relation R on a set X is anti-symmetric if there is no pair of distinct elements of X each of which is related by R to the other.

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Apollonius of Perga

Apollonius of Perga (Ἀπολλώνιος ὁ Περγαῖος; Apollonius Pergaeus; late 3rdearly 2nd centuries BC) was a Greek geometer and astronomer known for his theories on the topic of conic sections.

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Area theorem (conformal mapping)

In the mathematical theory of conformal mappings, the area theorem gives an inequality satisfied by the power series coefficients of certain conformal mappings.

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Asymmetric relation

In mathematics, an asymmetric relation is a binary relation on a set X where.

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Atari ST character set

The Atari ST character set is the character set of the Atari ST personal computer family including the Atari STE, TT and Falcon.

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≤ may refer to.

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Bar (diacritic)

A bar or stroke is a modification consisting of a line drawn through a grapheme.

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Barrow's inequality

In geometry, Barrow's inequality is an inequality relating the distances between an arbitrary point within a triangle, the vertices of the triangle, and certain points on the sides of the triangle.

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Bekenstein bound

In physics, the Bekenstein bound is an upper limit on the entropy S, or information I, that can be contained within a given finite region of space which has a finite amount of energy—or conversely, the maximum amount of information required to perfectly describe a given physical system down to the quantum level.

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Below

Below may refer to.

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Bennett's inequality

In probability theory, Bennett's inequality provides an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount.

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Bernoulli's inequality

In real analysis, Bernoulli's inequality (named after Jacob Bernoulli) is an inequality that approximates exponentiations of 1 + x.

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Bessel's inequality

In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element x in a Hilbert space with respect to an orthonormal sequence.

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Bicentric quadrilateral

In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle and a circumcircle.

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Bihari–LaSalle inequality

The Bihari–LaSalle inequality, was proved by the American mathematician Joseph P. LaSalle (1916–1983) in 1949 and by the Hungarian mathematician Imre Bihari (1915–1998) in 1956.

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Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

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Bitstream International Character Set

The Bitstream International Character Set (BICS) was developed by Bitstream, Inc.

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Body and Brain Connection

Body and Brain Connection, also known as Dr.

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Bogomol'nyi–Prasad–Sommerfield bound

The Bogomol'nyi–Prasad–Sommerfield bound (named after Evgeny Bogomolny, Manoj Prasad, and Charles Sommerfield) is a series of inequalities for solutions of partial differential equations depending on the homotopy class of the solution at infinity.

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Bonnesen's inequality

Bonnesen's inequality is an inequality relating the length, the area, the radius of the incircle and the radius of the circumcircle of a Jordan curve.

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Borell–Brascamp–Lieb inequality

In mathematics, the Borell–Brascamp–Lieb inequality is an integral inequality due to many different mathematicians but named after Christer Borell, Herm Jan Brascamp and Elliott Lieb.

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Bracket

A bracket is a tall punctuation mark typically used in matched pairs within text, to set apart or interject other text.

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Brunn–Minkowski theorem

In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures) of compact subsets of Euclidean space.

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C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

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Capital in the Twenty-First Century

Capital in the Twenty-First Century is a 2013 book by French economist Thomas Piketty.

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Carleman's inequality

Carleman's inequality is an inequality in mathematics, named after Torsten Carleman, who proved it in 1923 and used it to prove the Denjoy–Carleman theorem on quasi-analytic classes.

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Casio Algebra FX Series

The Casio Algebra FX series was a line of graphing calculators manufactured by Casio Computer Co., Ltd from 1999 to 2003.

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Casio calculator character sets

Casio calculator character sets are a group of character sets used by various Casio calculators and pocket computers.

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Cauchy–Schwarz inequality

In mathematics, the Cauchy–Schwarz inequality, also known as the Cauchy–Bunyakovsky–Schwarz inequality, is a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas.

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Chebyshev–Markov–Stieltjes inequalities

In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by Thomas Jan Stieltjes.

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Clinical nutrition

Clinical nutrition is nutrition of patients in health care.

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Code page 1118

Code page 1118 (also known as CP 1118, IBM 01118, Code page 774, CP 774) is a code page used under DOS to write the Lithuanian language.

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Code page 259

Code page 259 is EBCDIC code page used by IBM mainframes.

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Code page 293

Code page 293 is EBCDIC code page used by IBM mainframes.

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Code page 310

Code page 310 is EBCDIC code page used by IBM mainframes.

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Code page 351

Code page 351 is EBCDIC code page used by IBM mainframes.

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Code page 437

Code page 437 is the character set of the original IBM PC (personal computer), or DOS.

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Code page 668

The following table shows code page 668.

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Code page 737

Code page 737 (also known as CP 737, IBM 00737, OEM 737, MS-DOS Greek) is a code page used under DOS to write the Greek language.

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Code page 770

Code page 770 (also known as CP 770) is a code page used under DOS to write the Estonian, Lithuanian and Latvian languages.

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Code page 860

Code page 860 (also known as CP 860, IBM 00860, OEM 860, DOS Portuguese) is a code page used under DOS to write Portuguese and it is also suitable to write Spanish and Italian.

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Code page 861

Code page 861 (also known as CP 861, IBM 00861, OEM 861, DOS Icelandic) is a code page used under DOS to write the Icelandic language (as well as other Nordic languages).

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Code page 862

Code page 862 (also known as CP 862, IBM 00862, OEM 862 (Hebrew), MS-DOS Hebrew) is a code page used under DOS for Hebrew.

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Code page 863

Code page 863 (also known as CP 863, IBM 00863, OEM 863, MS-DOS French Canada) is a code page used under DOS to write French language (mainly in Quebec) although it lacks the letters Æ, æ, Œ, œ, Ÿ and ÿ.

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Code page 866

Code page 866 (CP 866; Альтернативная кодировка) is a code page used under DOS and OS/2 to write Cyrillic script.

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Code page 867

Code page 867 is a Hebrew 8-bit code page defined by IBM in 1998.

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Code page 907

Code page 907 is code page developed by IBM.

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Code page 922

Code page 922 (also known as CP 922, IBM 00922) is a code page used under IBM AIX and DOS to write the Estonian.

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Comparison

Comparison is the one for which things compare.

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Conformal dimension

In mathematics, the conformal dimension of a metric space X is the infimum of the Hausdorff dimension over the conformal gauge of X, that is, the class of all metric spaces quasisymmetric to X.

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Constraint (mathematics)

In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy.

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Contact dynamics

Contact dynamics deals with the motion of multibody systems subjected to unilateral contacts and friction.

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Contour set

In mathematics, contour sets generalize and formalize the everyday notions of.

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Crossing number inequality

In the mathematics of graph drawing, the crossing number inequality or crossing lemma gives a lower bound on the minimum number of crossings of a given graph, as a function of the number of edges and vertices of the graph.

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Crux Mathematicorum

Crux Mathematicorum is a scientific journal of mathematics published by the Canadian Mathematical Society.

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Cube (algebra)

In arithmetic and algebra, the cube of a number is its third power: the result of the number multiplied by itself twice: It is also the number multiplied by its square: This is also the volume formula for a geometric cube with sides of length, giving rise to the name.

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CWI-2

CWI-2 (a.k.a. CWI, cp-hu, HUCWI, or HU8CWI2) is a Hungarian code page frequently used in the 1980s and early 1990s.

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DEC Special Graphics

DEC Special Graphics is a 7-bit character set developed by Digital Equipment Corporation.

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DEC Technical Character Set

DEC Technical (TCS) is a 7-bit character set developed by Digital Equipment Corporation.

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Desmos (graphing)

Desmos is an advanced graphing calculator implemented as a web application and a mobile application written in JavaScript.

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DG International

This is the DG International (Data General International) character set.

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Differential variational inequality

In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems.

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Dimensional analysis

In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed.

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Direct proof

In mathematics and logic, a direct proof is a way of showing the truth or falsehood of a given statement by a straightforward combination of established facts, usually axioms, existing lemmas and theorems, without making any further assumptions.

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Dissipative operator

In mathematics, a dissipative operator is a linear operator A defined on a linear subspace D(A) of Banach space X, taking values in X such that for all λ > 0 and all x ∈ D(A) A couple of equivalent definitions are given below.

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EBCDIC 264

IBM code page 38 (CCSID 38) is an EBCDIC code page with full ASCII used in IBM mainframes.

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EBCDIC 352

IBM code page 352 (CCSID 352) is an EBCDIC code page used in IBM mainframes.

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Egorov's theorem

In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions.

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Eilenberg's inequality

Eilenberg's inequality is a mathematical inequality for Lipschitz-continuous functions.

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Elementary mathematics

Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels.

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EPR paradox

The Einstein–Podolsky–Rosen paradox or the EPR paradox of 1935 is a thought experiment in quantum mechanics with which Albert Einstein and his colleagues Boris Podolsky and Nathan Rosen (EPR) claimed to demonstrate that the wave function does not provide a complete description of physical reality, and hence that the Copenhagen interpretation is unsatisfactory; resolutions of the paradox have important implications for the interpretation of quantum mechanics.

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Equality (mathematics)

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Ermelinda DeLaViña

Ermelinda DeLaViña is a Hispanic American mathematician specializing in graph theory.

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Esperanto orthography

Esperanto is written in a Latin-script alphabet of twenty-eight letters, with upper and lower case.

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Etemadi's inequality

In probability theory, Etemadi's inequality is a so-called "maximal inequality", an inequality that gives a bound on the probability that the partial sums of a finite collection of independent random variables exceed some specified bound.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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Exponential sum

In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function Therefore, a typical exponential sum may take the form summed over a finite sequence of real numbers xn.

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Extended Latin-8

This is an extension of ISO 8859-14 for Windows CeltScript fonts.

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Fatou's lemma

In mathematics, Fatou's lemma establishes an inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions.

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Fatou–Lebesgue theorem

In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior of integrals of these functions.

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Fauve (collective)

Fauve collective, sometimes stylized as FAUVE, is a French arts collective of music and videography established in 2010 in Paris.

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Feasible region

In mathematical optimization, a feasible region, feasible set, search space, or solution space is the set of all possible points (sets of values of the choice variables) of an optimization problem that satisfy the problem's constraints, potentially including inequalities, equalities, and integer constraints.

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Filename

A filename (also written as two words, file name) is a name used to uniquely identify a computer file stored in a file system.

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Finitary relation

In mathematics, a finitary relation has a finite number of "places".

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FOCAL character set

In computing FOCAL character set refers to a group of 8-bit single byte character sets introduced by Hewlett-Packard since 1979.

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Futoshiki

, or More or Less, is a logic puzzle game from Japan.

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Ge

Ge or GE may refer to.

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GEM character set

The GEM character set is the character set of Digital Research's graphical user interface GEM on Intel platforms.

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German keyboard layout

The German keyboard layout is a QWERTZ keyboard layout commonly used in Austria and Germany.

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Global Television Network

Global Television Network (more commonly called Global, or occasionally Global TV) is a privately owned Canadian English-language broadcast television network.

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Goldbach's conjecture

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics.

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GOST 10859

GOST 10859 (1964) is a standard of the Soviet Union which defined how to encode data on punched cards.

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Gradshteyn and Ryzhik

Gradshteyn and Ryzhik (GR) is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik.

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Greater

Greater may refer to.

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Greater-than sign

The greater-than sign is a mathematical symbol that denotes an inequality between two values.

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Half-space (geometry)

In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space.

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Hardy's inequality

Hardy's inequality is an inequality in mathematics, named after G. H. Hardy.

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Harnack's inequality

In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by.

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Hölder's inequality

In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of ''Lp'' spaces.

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Height of a polynomial

In mathematics, the height and length of a polynomial P with complex coefficients are measures of its "size".

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Hermite–Hadamard inequality

In mathematics, the Hermite–Hadamard inequality, named after Charles Hermite and Jacques Hadamard and sometimes also called Hadamard's inequality, states that if a function ƒ: → R is convex, then the following chain of inequalities hold.

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History of mathematical notation

The history of mathematical notation includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness.

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History of trigonometry

Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics.

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Hoeffding's lemma

In probability theory, Hoeffding's lemma is an inequality that bounds the moment-generating function of any bounded random variable.

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HP Roman

In computing HP Roman is a family of character sets consisting of HP Roman Extension, HP Roman-8, HP Roman-9 and several variants.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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IEC-P27-1

IEC-P27-1 (or ISO IR-143) is an 8-bit character set developed by the IEC.

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Inequalities in information theory

Inequalities are very important in the study of information theory.

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Inequality

Inequality may refer to.

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Inequation

In mathematics, an inequation is a statement that an inequality holds between two values.

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Ingleton's inequality

In mathematics, Ingleton's inequality is an inequality that is satisfied by the rank function of any representable matroid.

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International Mathematical Olympiad

The International Mathematical Olympiad (IMO) is an annual six-problem mathematical olympiad for pre-college students, and is the oldest of the International Science Olympiads.

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Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

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Interval contractor

In mathematics, an interval contractor (or contractor for short) associated to a set X is an operator C which associates to a box in Rn another box C() of Rn such that the two following properties are always satisfied.

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Introduction to systolic geometry

Systolic geometry is a branch of differential geometry, a field within mathematics, studying problems such as the relationship between the area inside a closed curve C, and the length or perimeter of C. Since the area A may be small while the length l is large, when C looks elongated, the relationship can only take the form of an inequality.

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ISO 6862

ISO 6862 is an International Standard and a character set developed by ISO.

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ISO IR-68

ISO IR-68 is character set developed by ISO.

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Isoperimetric inequality

In mathematics, the isoperimetric inequality is a geometric inequality involving the surface area of a set and its volume.

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JIS X 0208

JIS X 0208 is a 2-byte character set specified as a Japanese Industrial Standard, containing 6879 graphic characters suitable for writing text, place names, personal names, and so forth in the Japanese language.

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Johan Jensen (mathematician)

Johan Ludwig William Valdemar Jensen, mostly known as Johan Jensen (8 May 1859 – 5 March 1925), was a Danish mathematician and engineer.

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Josip Pečarić

Josip Pečarić (born 3 September 1948) is a Croatian Academician, mathematician and the professor of mathematics at the University of Zagreb, Croatia.

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Jung's theorem

In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set.

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Kamenický encoding

The Kamenický encoding (Czech: kódování Kamenických), named for the brothers Jiří and Marian Kamenický, was a code page for personal computers running DOS, very popular in Czechoslovakia (since 1993, the Czech Republic and Slovakia) around 1985–1995.

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Kissing number problem

In geometry, a kissing number is defined as the number of non-overlapping unit spheres that can be arranged such that they each touch another given unit sphere.

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Kneser's theorem (combinatorics)

In mathematics, Kneser's theorem is an inequality among the sizes of certain sumsets in abelian groups.

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Kolmogorov's inequality

In probability theory, Kolmogorov's inequality is a so-called "maximal inequality" that gives a bound on the probability that the partial sums of a finite collection of independent random variables exceed some specified bound.

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KPS 9566

KPS 9566 is a North Korean standard which specifies an ISO 2022-compliant 94x94 two-byte coded character set for the Chosŏn'gŭl (Hangul) writing system used for the Korean language.

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KS X 1001

KS X 1001 (Korean Graphic Character Set for Information Interchange), formerly called KS C 5601, is a South Korean coded character set standard to represent hangul and hanja characters on a computer.

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Ky Fan inequality

In mathematics, there are two different results that share the common name of the Ky Fan inequality.

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Ky Fan's inequality

In mathematics, there are different results that share the common name of the Ky Fan inequality.

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Lagrangian coherent structure

Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest.

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Language of mathematics

The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves.

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Lars-Erik Persson

Lars-Erik Persson (born 24 September 1944) is a Swedish professor in mathematics, which is especially known for his works in Fourier analysis, function spaces, inequalities, interpolation theory and related problems connected to convexity and quasi-monotone functions.

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LEQ

LEQ may refer to.

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Less-than sign

The less-than sign is a mathematical symbol that denotes an inequality between two values.

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Level of measurement

Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables.

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Linear inequality

In mathematics a linear inequality is an inequality which involves a linear function.

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Linear partial information

Linear partial information (LPI) is a method of making decisions based on insufficient or fuzzy information.

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List of computer algebra systems

The following tables provide a comparison of computer algebra systems (CAS).

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List of inequalities

This page lists Wikipedia articles about named mathematical inequalities.

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List of lemmas

This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs).

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List of mathematical symbols

This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.

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List of mathematical symbols by subject

This list of mathematical symbols by subject shows a selection of the most common symbols that are used in modern mathematical notation within formulas, grouped by mathematical topic.

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List of order theory topics

Order theory is a branch of mathematics that studies various kinds of objects (often binary relations) that capture the intuitive notion of ordering, providing a framework for saying when one thing is "less than" or "precedes" another.

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List of real analysis topics

This is a list of articles that are considered real analysis topics.

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List of triangle inequalities

In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions.

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List of types of numbers

Numbers can be classified according to how they are represented or according to the properties that they have.

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Loewner's torus inequality

In differential geometry, Loewner's torus inequality is an inequality due to Charles Loewner.

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Log sum inequality

In information theory, the log sum inequality is an inequality which is useful for proving several theorems in information theory.

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Logic optimization

Logic optimization, a part of logic synthesis in electronics, is the process of finding an equivalent representation of the specified logic circuit under one or more specified constraints.

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Lotus International Character Set

The Lotus International Character Set (LICS) is a proprietary single-byte character encoding introduced in 1985 by Lotus Development Corporation.

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Lotus Multi-Byte Character Set

The Lotus Multi-Byte Character Set (LMBCS) is a proprietary multi-byte character encoding originally conceived in 1988 at Lotus Development Corporation with input from Bob Balaban and others.

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LT

LT, lt, and variants may refer to.

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Mac OS Celtic

Mac OS Celtic is a character encoding used by the Mac OS to represent Welsh text (like ISO 8859-14), replacing 14 of the Mac OS Roman characters with Welsh characters.

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Mac OS Gaelic

The table below shows Mac OS Gaelic, which replaces 23 Mac OS Celtic characters with Gaelic characters.

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Mac OS Roman

Mac OS Roman is a character encoding primarily used by the classic Mac OS to represent text.

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MacGreek encoding

MacGreek encoding or Macintosh Greek encoding is used in Apple Macintosh computers to represent texts in the Greek language that uses the Greek script.

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Macintosh Central European encoding

Macintosh Central European encoding is used in Apple Macintosh computers to represent texts in Central European and Southeastern European languages that use the Latin script.

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Maclaurin's inequality

In mathematics, Maclaurin's inequality, named after Colin Maclaurin, is a refinement of the inequality of arithmetic and geometric means.

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Magic number (oil)

The magic number is a term in economics that denotes the price of crude oil (measured in dollars per barrel) at which a crude oil exporting economy runs a deficit.

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Markov brothers' inequality

In mathematics, the Markov brothers' inequality is an inequality proved in the 1890s by brothers Andrey Markov and Vladimir Markov, two Russian mathematicians.

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Math Girls

is the first in a series of math-themed young adult novels of the same name by Japanese author Hiroshi Yuki.

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Mathematics education in New York

Mathematics education in New York in regard to both content and teaching method can vary depending on the type of school a person attends.

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Mazovia encoding

Mazovia encoding is used under DOS to represent Polish texts.

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Mental operations

Mental operations are operations that affect mental contents.

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Metric map

In the mathematical theory of metric spaces, a metric map is a function between metric spaces that does not increase any distance (such functions are always continuous).

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MIK (character set)

MIK (МИК) is a 8-bit Cyrillic code page used with DOS.

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Minkowski–Bouligand dimension

Estimating the box-counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal dimension of a set S in a Euclidean space Rn, or more generally in a metric space (X, d).

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Mountain research

Mountain research or montology, traditionally also known as orology (from Greek oros ὄρος for 'mountain' and logos λόγος), is a field of research that regionally concentrates on the Earth's surface's part covered by mountain landscapes.

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MSX character set

MSX character sets are a group of single- and double-byte character sets developed by Microsoft for MSX computers.

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Multiple integral

The multiple integral is a definite integral of a function of more than one real variable, for example, or.

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Mxparser

mXparser is an open-source mathematical expressions parser/evaluator providing abilities to calculate various expressions at a run time.

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N-terminal prohormone of brain natriuretic peptide

The N-terminal prohormone of brain natriuretic peptide (NT-proBNP or BNPT) is a prohormone with a 76 amino acid N-terminal inactive protein that is cleaved from the molecule to release brain natriuretic peptide.

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N-Triples

N-Triples is a format for storing and transmitting data.

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NEC APC character set

NEC APC is an 8-bit character set developed by NEC for the NEC APC, a CP/M-86 and MS-DOS-compatible personal computer in 1983.

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Negative number

In mathematics, a negative number is a real number that is less than zero.

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Nesbitt's inequality

In mathematics, Nesbitt's inequality is a special case of the Shapiro inequality.

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New Math

New Mathematics or New Math was a brief, dramatic change in the way mathematics was taught in American grade schools, and to a lesser extent in European countries, during the 1960s.

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Newton's inequalities

In mathematics, the Newton inequalities are named after Isaac Newton.

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Neyman–Pearson lemma

In statistics, the Neyman–Pearson lemma was introduced by Jerzy Neyman and Egon Pearson in a paper in 1933.

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Nonlinear programming

In mathematics, nonlinear programming is the process of solving an optimization problem defined by a system of equalities and inequalities, collectively termed constraints, over a set of unknown real variables, along with an objective function to be maximized or minimized, where some of the constraints or the objective function are nonlinear.

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NuCalc

NuCalc, also known as Graphing Calculator, is a computer software tool made by the company Pacific Tech.

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Number sense

In mathematics education, number sense can refer to "an intuitive understanding of numbers, their magnitude, relationships, and how they are affected by operations".

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Number sentence

In mathematics education, a number sentence is typically an equation or inequality expressed using numbers and common symbols.

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OMS encoding

OMS (aka TeX math symbol) is a 7-bit TeX encoding developed by Donald E. Knuth.

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On Numbers and Games

On Numbers and Games is a mathematics book by John Horton Conway first published in 1976.

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Operator (computer programming)

Programming languages typically support a set of operators: constructs which behave generally like functions, but which differ syntactically or semantically from usual functions.

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Orders of magnitude (acceleration)

This page lists examples of the acceleration occurring in various situations.

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Outline of discrete mathematics

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.

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Peetre's inequality

In mathematics, Peetre's inequality, named after Jaak Peetre, says that for any real number t and any vectors x and y in Rn, the following inequality holds.

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Pierre Hérigone

Pierre Hérigone (Latinized as Petrus Herigonius) (1580–1643) was a French mathematician and astronomer.

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Pinsker's inequality

In information theory, Pinsker's inequality, named after its inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance (or statistical distance) in terms of the Kullback–Leibler divergence.

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Polar sine

In geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope.

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Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

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Popoviciu's inequality

In convex analysis, Popoviciu's inequality is an inequality about convex functions.

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Population proportion

A population proportion, generally denoted by P and in some textbooks by \pi, is a parameter that describes a percentage value associated with a population.

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Prékopa–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.

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Pregnanetriol

Pregnanetriol, or 5β-pregnane-3α,17α,20α-triol is a steroid and inactive metabolite of progesterone.

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Progesterone

Progesterone (P4) is an endogenous steroid and progestogen sex hormone involved in the menstrual cycle, pregnancy, and embryogenesis of humans and other species.

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Proper transfer function

In control theory, a proper transfer function is a transfer function in which the degree of the numerator does not exceed the degree of the denominator.

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Ptolemy's inequality

In Euclidean geometry, Ptolemy's inequality relates the six distances determined by four points in the plane or in a higher-dimensional space.

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Pushing on a string

Pushing on a string is a figure of speech for influence that is more effective in moving things in one direction than another – you can pull, but not push. If something is connected to someone by a string, they can move it toward themselves by pulling on the string, but they cannot move it away from themselves by pushing on the string.

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Rayleigh–Faber–Krahn inequality

In spectral geometry, the Rayleigh–Faber–Krahn inequality, named after its conjecturer, Lord Rayleigh, and two individuals who independently proved the conjecture, G. Faber and Edgar Krahn, is an inequality concerning the lowest Dirichlet eigenvalue of the Laplace operator on a bounded domain in \mathbb^n, n \ge 2.

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Real algebraic geometry

In mathematics, real algebraic geometry is the study of real algebraic sets, i.e. real-number solutions to algebraic equations with real-number coefficients, and mappings between them (in particular real polynomial mappings).

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Real coordinate space

In mathematics, real coordinate space of dimensions, written R (also written with blackboard bold) is a coordinate space that allows several (''n'') real variables to be treated as a single variable.

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Reference ranges for blood tests

Reference ranges for blood tests are sets of values used by a health professional to interpret a set of medical test results from blood samples.

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Relational operator

In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities.

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Resistor–transistor logic

Resistor–transistor logic (RTL) (sometimes also transistor–resistor logic (TRL)) is a class of digital circuits built using resistors as the input network and bipolar junction transistors (BJTs) as switching devices.

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Revealed preference

Revealed preference theory, pioneered by economist Paul Samuelson, is a method of analyzing choices made by individuals, mostly used for comparing the influence of policies on consumer behavior.

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Rheumatoid arthritis

Rheumatoid arthritis (RA) is a long-term autoimmune disorder that primarily affects joints.

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Ring of periods

In mathematics, a period is a number that can be expressed as an integral of an algebraic function over an algebraic domain.

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RPL character set

The RPL character set is an 8-bit character set and encoding used by most RPL calculators manufactured by Hewlett-Packard as well as by the HP 82240B thermo printer.

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Satisfiability modulo theories

In computer science and mathematical logic, the satisfiability modulo theories (SMT) problem is a decision problem for logical formulas with respect to combinations of background theories expressed in classical first-order logic with equality.

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Sbrk

brk and sbrk are basic memory management system calls used in Unix and Unix-like operating systems to control the amount of memory allocated to the data segment of the process.

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Schur's inequality

In mathematics, Schur's inequality, named after Issai Schur, establishes that for all non-negative real numbers x, y, z and a positive number t, with equality if and only if x.

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Shapiro inequality

In mathematics, the Shapiro inequality is an inequality proposed by H. Shapiro in 1954.

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Sharp pocket computer character sets

The Sharp pocket computer character sets are a number of 8-bit character sets used by various Sharp pocket computers and calculators in the 1980s and mid 1990s.

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Sides of an equation

In mathematics, LHS is informal shorthand for the left-hand side of an equation.

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Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

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Signorini problem

The Signorini problem is an elastostatics problem in linear elasticity: it consists in finding the elastic equilibrium configuration of an anisotropic non-homogeneous elastic body, resting on a rigid frictionless surface and subject only to its mass forces.

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Simon (computer)

Simon was a relay-based computer, described by Edmund Berkeley in a series of thirteen construction articles in Radio-Electronics magazine, from October 1950.

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Small number

Within a set of positive numbers, a number is small if it is close to zero.

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Sputtering

Sputtering is a process whereby particles are ejected from a solid target material due to bombardment of the target by energetic particles, particularly gas ions in a laboratory.

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Square One Television

Square One Television (sometimes referred to as Square One or Square One TV) is an American children's television program produced by the Children's Television Workshop (now known as Sesame Workshop) to teach mathematics and abstract mathematical concepts to young viewers.

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Stanford Extended ASCII

Stanford Extended ASCII (SEASCII) is a derivation of the 7-bit ASCII character set developed at the Stanford Artificial Intelligence Laboratory (SAIL/SU-AI) in the early 1970s.

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Stanley's reciprocity theorem

In combinatorial mathematics, Stanley's reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation is satisfied by the generating function of any rational cone (defined below) and the generating function of the cone's interior.

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Steffensen's inequality

Steffensen's inequality is an equation in mathematics named after Johan Frederik Steffensen.

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Strict

In mathematical writing, the adjective strict is used to modify technical terms which have multiple meanings.

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Subadditivity

In mathematics, subadditivity is a property of a function that states, roughly, that evaluating the function for the sum of two elements of the domain always returns something less than or equal to the sum of the function's values at each element.

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Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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Super Boy Allan

is an educational video game developed by Asmik Corporation for the Family Computer Disk System, and published by Sunsoft in 1987.

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Superadditivity

In mathematics, a sequence, n ≥ 1, is called superadditive if it satisfies the inequality for all m and n. The major reason for the use of superadditive sequences is the following lemma due to Michael Fekete.

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Symbol (typeface)

Symbol is one of the four standard fonts available on all PostScript-based printers, starting with Apple's original LaserWriter (1985).

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Table of mathematical symbols by introduction date

The following table lists many specialized symbols commonly used in mathematics, ordered by their introduction date.

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Talagrand's concentration inequality

In probability theory, Talagrand's concentration inequality is an isoperimetric-type inequality for product probability spaces.

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Tamás Erdélyi (mathematician)

Tamás Erdélyi is a Hungarian-born mathematician working at Texas A&M University.

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Tampa Bay Rays

The Tampa Bay Rays are an American professional baseball team based in St. Petersburg, Florida.

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Tangential quadrilateral

In Euclidean geometry, a tangential quadrilateral (sometimes just tangent quadrilateral) or circumscribed quadrilateral is a convex quadrilateral whose sides are all tangent to a single circle within the quadrilateral.

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Tarski–Seidenberg theorem

In mathematics, the Tarski–Seidenberg theorem states that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities.

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Tatyana Shaposhnikova

Tatyana Olegovna Shaposhnikova (Татьяна Олеговна Шапошникова) is a Russian mathematician, working at the Royal Institute of Technology, Sweden.

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Themistocles M. Rassias

Themistocles M. Rassias (Θεμιστοκλής Μ. Ρασσιάς; born April 2, 1951) is a Greek mathematician, and a Professor at the National Technical University of Athens (Eθνικό Μετσόβιο Πολυτεχνείο), Greece.

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TI calculator character sets

As part of the design process, Texas Instruments (TI) decided to modify the base Latin-1 character set for use with its calculator interface.

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Tilde

The tilde (in the American Heritage dictionary or; ˜ or ~) is a grapheme with several uses.

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Timeline of quantum mechanics

This timeline of quantum mechanics shows the key steps, precursors and contributors to the development of quantum mechanics, quantum field theories and quantum chemistry.

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Trace inequalities

In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces.

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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.

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Tupper's self-referential formula

Tupper's self-referential formula is a formula that visually represents itself when graphed at a specific location in the (x, y) plane.

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Uncertainty principle

In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position x and momentum p, can be known.

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Unit sphere

In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.

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United States of America Mathematical Olympiad

The United States of America Mathematical Olympiad (USAMO) is a highly selective high school mathematics competition held annually in the United States.

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Universal algebra

Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures.

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Upper and lower bounds

In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set (K, ≤) is an element of K which is greater than or equal to every element of S. The term lower bound is defined dually as an element of K which is less than or equal to every element of S. A set with an upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound.

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Variational inequality

In mathematics, a variational inequality is an inequality involving a functional, which has to be solved for all possible values of a given variable, belonging usually to a convex set.

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Vertical bar

The vertical bar (|) is a computer character and glyph with various uses in mathematics, computing, and typography.

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Welch bounds

In mathematics, Welch bounds are a family of inequalities pertinent to the problem of evenly spreading a set of unit vectors in a vector space.

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Western Latin character sets (computing)

Several binary representations of character sets for common Western European languages are compared in this article.

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Willerton's fish

In knot theory, Willerton's fish is an unexplained relationship between the first two Vassiliev invariants of a knot.

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Wirtinger's inequality

Wirtinger's inequality is either of two inequalities named after Wilhelm Wirtinger.

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Wirtinger's inequality for functions

In mathematics, historically Wirtinger's inequality for real functions was an inequality used in Fourier analysis.

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Worldwide Online Olympiad Training

The Worldwide Online Olympiad Training (WOOT) program was established in 2005 by Art of Problem Solving, with sponsorship from Google and quantitative hedge fund giant D. E. Shaw & Co., in order to meet the needs of the world's top high school math students.

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Xerox Character Code Standard

The Xerox Character Code Standard (XCCS) is a historical 16-bit character encoding that was created by Xerox in 1980 for the exchange of information between elements of the Xerox Network Systems Architecture.

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Young's convolution inequality

In mathematics, Young's convolution inequality is a mathematical inequality about the convolution of two functions, named after William Henry Young.

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Young's inequality for products

In mathematics, Young's inequality for products is a mathematical inequality about the product of two numbers.

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5040 (number)

5040 is a factorial (7!) and one less than a square, making (7, 71) a Brown number pair, a superior highly composite number, a colossally abundant number, and the number of permutations of 4 items out of 10 choices (10 × 9 × 8 × 7.

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References

[1] https://en.wikipedia.org/wiki/Inequality_(mathematics)

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