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Basic notion of sameness in mathematics
In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical
Equality_(mathematics)
Mathematical symbol of equality
(American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality. In an equation, it is placed between
Equals_sign
Symbol representing a property or relation in logic
well-defined. For example, equality may be understood solely through its reflexive and substitution properties (cf. Equality (mathematics) § Axioms). Other properties
Predicate_(logic)
Topics referred to by the same term
legislation Equality (mathematics), the relationship between expressions that represent the same value or mathematical object Equals sign, = Logical equality Equality
Equality
Topics referred to by the same term
containing Similarity Same (disambiguation) Difference (disambiguation) Equality (mathematics) Identity (philosophy) This disambiguation page lists articles associated
Similarity
Topics referred to by the same term
biomechanics Balance (accounting) Balance or weighing scale Balance, as in equality (mathematics) or equilibrium Balance (1983 film), a Bulgarian film Balance (1989
Balance
Programming language construct
"case equality" or "case subsumption" operator. Binary relation Common operator notation Conditional (computer programming) Equality (mathematics) Equals
Relational_operator
Field of knowledge
Mathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical
Mathematics
Equation that is satisfied for all values of the variables
In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might
Identity_(mathematics)
Overview of and topical guide to discrete mathematics
equation – Polynomial equation of degree two Solution point – Mathematical formula expressing equalityPages displaying short descriptions of redirect targets
Outline of discrete mathematics
Outline_of_discrete_mathematics
Topics referred to by the same term
dictionary. Equal(s) may refer to: Equality (mathematics). Equals sign (=), a mathematical symbol used to indicate equality. Equals (film), a 2015 American
Equal
Concept in psychology and sociology
with the gender-equality paradox in STEM hypothesis. Another 2020 study did find evidence of the paradox in the pursuit of mathematical studies; however
Gender-equality_paradox
Topics referred to by the same term
or Ricardo–de Viti–Barro equivalence, a proposition in economics Equality (mathematics) Equivalence relation Equivalence class Equivalence of categories
Equivalence
Mathematical formula expressing equality
In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word
Equation
Equality for all genders
Gender equality, also known as sexual equality, gender egalitarianism, or equality of the sexes, is the state of equal ease of access to resources and
Gender_equality
Coincidence in mathematics
A mathematical coincidence is said to occur when two expressions with no direct relationship show a near-equality which has no apparent theoretical explanation
Mathematical_coincidence
Logic principle
same. The extensional definition of function equality, discussed below, is commonly used in mathematics. A similar extensional definition is usually employed
Extensionality
Mathematical construction of a set with an equivalence relation
interpretation of intensional equality (the equality on the original set) and extensional equality (the equivalence relation, or the equality on the quotient set)
Setoid
Type of logical system
In mathematics, philosophy, linguistics, and computer science, first-order logic (FOL), also called predicate logic, predicate calculus, or quantificational
First-order_logic
Condition of an optimization problem which the solution must satisfy
In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily
Constraint_(mathematics)
Object of a mathematical operation, quantity on which an operation is performed
In mathematics, an operand is the object of a mathematical operation, i.e., it is the object or quantity that is operated on. Unknown operands in equalities
Operand
Equality operator on partial functions
In mathematics, Kleene equality, or strong equality, ( ≃ {\displaystyle \simeq } ) is an equality operator on partial functions, that states that on a
Kleene_equality
Mathematical theory of data types
In mathematical logic, and theoretical computer science, type theory is the study of formal systems that classify expressions or mathematical objects by
Type_theory
Mathematical equation linking e, i and π
In mathematics, Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e}
Euler's_identity
Standard representation of a mathematical object
In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical
Canonical_form
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Topics referred to by the same term
may refer to: an analogy symbolism operator, in logic and mathematics a notation for equality of ratios a scope resolution operator, in computer programming
Double_colon
Umbrella term for technical disciplines
ISBN 978-1-4338-3264-2. "Corrigendum: The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education". Psychological Science. 31 (1):
Science, technology, engineering, and mathematics
Science,_technology,_engineering,_and_mathematics
Array of numbers
In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and
Matrix_(mathematics)
Property of two varying quantities with a constant ratio
In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant
Proportionality_(mathematics)
Type theory in logic and mathematics
property of equality. Here, an important difference between HoTT and classical mathematics comes in. In classical mathematics, once the equality of two values
Homotopy_type_theory
Decidable theory of equality
In mathematical logic the theory of pure equality is a first-order theory. It has a signature consisting of only the equality relation symbol, and includes
Theory_of_pure_equality
Spanish mathematician (born 1973)
Toward Equality | Mathematics. Universität Göttingen. 2025-07-02. Retrieved 2025-08-30 – via YouTube. "Nachdiplom lectures". Institute for Mathematical Research
Eva_Miranda
Mathematical statement which always holds true
contain variables), usually using equality or inequality, or between formulas themselves, for instance, in mathematical logic. For example, the formula
Law_(mathematics)
Upper bound on the volume of a convex body containing one lattice point
{\displaystyle \operatorname {Vol} (K)\leq {\frac {(n+1)^{n}}{n!}}.} Equality is achieved in this inequality when K = ( n + 1 ) Δ n {\displaystyle K=(n+1)\Delta
Ehrhart's_volume_conjecture
Expression of symbolic information
relations like equality (=) or inequality (<). Expressions denote a mathematical object, where as formulas denote a statement about mathematical objects. This
Formula
National motto of France and Haiti
(French pronunciation: [libɛʁte eɡalite fʁatɛʁnite]; French for 'liberty, equality, fraternity', Latin: Libertas, aequalitas, fraternitas; Haitian Creole:
Liberté,_égalité,_fraternité
Used to count, measure, and label
A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers: 1, 2, 3, 4, 5, and so forth. Individual
Number
Alternative decimal expansion of 1
same number. There are many ways of showing this equality, from intuitive arguments to mathematically rigorous proofs. The intuitive arguments are generally
0.999...
Integer
In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element
−1
Notion of equality in type theory
theory, a branch of mathematics, the identity type represents the concept of equality. It is also known as propositional equality to differentiate it
Identity_type
Collection of mathematical objects
In mathematics, a set is a collection of different things; the things are called elements or members of the set and are typically mathematical objects:
Set_(mathematics)
Symbolic description of a mathematical object
expressions usually denote mathematical objects, whereas formulas are statements about mathematical objects, such as an equality. This is analogous to natural
Expression_(mathematics)
Study of mathematical algorithms for optimization problems
Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria
Mathematical_optimization
Something roughly the same as something else
} (\gtrapprox) : either an inequality holds or approximate equality. Approximate equalities denoted by wavy or dotted symbols. Approximation arises naturally
Approximation
Educational plan meant to reduce perceived prejudice in education
of equality based on equal opportunities (formal equality) or based on equality of outcomes for different groups, also called substantive equality.[failed
Anti-bias_curriculum
Scientific area at the interface between computer science and mathematics
\log(z^{2}-5)} . There are two notions of equality for mathematical expressions. Syntactic equality is the equality of their representation in a computer
Computer_algebra
around Us William Kay (producer); Albert Larson color 13m May 23, 1972 Equality under Law: The California Fair Housing Cases editor: Meredith Lefcourt
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
Property of being an even or odd number
In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. For
Parity_(mathematics)
Interdisciplinary field of research
Mathematical sociology is an interdisciplinary field of research concerned with the use of mathematics within sociological research. Starting in the early
Mathematical_sociology
Mathematical inequality relating inner products and norms
Hassani, Sadri (1999). Mathematical Physics: A Modern Introduction to Its Foundations. Springer. p. 29. ISBN 0-387-98579-4. Equality holds iff <c|c> = 0
Cauchy–Schwarz_inequality
Logical operator in propositional calculus
the operands x and y, the truth table of the logical equality operator is as follows: In mathematics, the plus sign "+" almost invariably indicates an operation
Logical_equality
Mathematical property excluding equality
Wiktionary, the free dictionary. In mathematical writing, the term strict refers to the property of excluding equality and equivalence and often occurs in
Strict
Relationship between two numbers of the same kind
In mathematics, a ratio (/ˈreɪ.ʃ(i.)oʊ/) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a
Ratio
Statement in mathematics
A proportion is a mathematical statement expressing equality of two ratios. a : b = c : d {\displaystyle a:b=c:d} a and d are called extremes, b and c
Proportion_(mathematics)
Measure of the shape of a function
Moments of a function in mathematics are certain quantitative measures related to the shape of the function's graph. For example, if the function represents
Moment_(mathematics)
Concept in mathematical optimization
In mathematical optimization, the Karush–Kuhn–Tucker (KKT) conditions, also known as the Kuhn–Tucker conditions, are first derivative tests (sometimes
Karush–Kuhn–Tucker_conditions
2.71828...; base of natural logarithms
The number e is a mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithm and exponential function. It is sometimes
E_(mathematical_constant)
Symbol with multiple meanings
symbol ≡ for definitional equality. Cajori, Florian (2013), A History of Mathematical Notations, Dover Books on Mathematics, Courier Dover Publications
Triple_bar
Mathematical relation making a non-equal comparison
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most
Inequality_(mathematics)
Relationships between music and mathematics
equality of 53 perfect fifths with 31 octaves, and was noted by Jing Fang and Nicholas Mercator. Musical set theory uses the language of mathematical
Music_and_mathematics
Solution process for some optimization problems
satisfaction of a system of equalities and inequalities, collectively termed constraints. It is the sub-field of mathematical optimization that deals with
Nonlinear_programming
Mathematical nomenclature
In mathematics, LHS is informal shorthand for the left-hand side of an equation. Similarly, RHS is the right-hand side. The two sides have the same value
Sides_of_an_equation
Mathematical theorem
In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) is the fact that exchanging the order of partial derivatives
Symmetry of second derivatives
Symmetry_of_second_derivatives
American sociologist (1926–1995)
Introduction to Mathematical Sociology (1964) Models of Change and Response Uncertainty (1964) Adolescents and the Schools (1965) Equality of Educational
James_Samuel_Coleman
Property of magnitude or multitude
further divided as mathematical and physical. In formal terms, quantities—their ratios, proportions, order and formal relationships of equality and inequality—are
Quantity
Certain type of mistaken proof
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy
Mathematical_fallacy
constructive mathematics, an apartness relation is a constructive form of inequality, and is often taken to be more basic than equality. An apartness
Apartness_relation
Child learning phenomenon
the mathematics and reading gender gaps, that is, nations with a larger mathematics gap have a smaller reading gap and vice versa. Gender-equality paradox
Gender gaps in mathematics and reading
Gender_gaps_in_mathematics_and_reading
Social advocacy movement
movements encompassing "men's rights" among anti-rights movements that frame equality for women and LGBTQ+ people as a threat. The term "men's rights" was used
Men's_rights_movement
Symbol representing a mathematical object
In mathematics, a variable (from Latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object. One
Variable_(mathematics)
section 4 of the Act, and for other purposes. H.R. 5 February 18, 2021 Equality Act of 2021 To prohibit discrimination on the basis of sex, gender identity
List of bills in the 117th United States Congress
List_of_bills_in_the_117th_United_States_Congress
In mathematics, invertible homomorphism
In mathematics, an isomorphism is a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse
Isomorphism
Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by their objects of study, by the used methods,
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Branch of mathematics
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems
Algebra
Logical quantifier
In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. This sort of quantification
Uniqueness_quantification
View that mathematics does not necessarily represent reality, but is more akin to a game
In philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the consequences
Formalism (philosophy of mathematics)
Formalism_(philosophy_of_mathematics)
Result in Fourier analysis
theorem – Theorem in mathematics Bessel's inequality – Theorem on orthonormal sequences "Parseval equality", Encyclopedia of Mathematics, EMS Press, 2001
Parseval's_identity
Branch of mathematics
Calculus is the branch of mathematics that studies continuous change, and is the principal precursor of modern mathematical analysis. Originally called
Calculus
Set of the values of a function
In mathematics, the image of a function f : X → Y {\displaystyle f:X\to Y} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle
Image_(mathematics)
Divergent sum of positive unit fractions
In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ i = 1 ∞ 1 i = 1 1 + 1 2 + 1 3 + 1 4 + 1 5
Harmonic_series_(mathematics)
Function that returns its argument unchanged
In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the
Identity_function
Type of binary relation
In mathematics, a binary relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates
Transitive_relation
Subfield of mathematical optimization
Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently
Convex_optimization
Limiting case which is different from the rest of the class
In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than)
Degeneracy_(mathematics)
Topics referred to by the same term
journalistic objectivity) Gender neutrality, a principle which advocates gender equality practices and behaviors which are neutral in regard to gender Humanitarian
Neutral
Mathematical concept for comparing objects
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric, and transitive. The equipollence relation between line segments
Equivalence_relation
Theorem limiting types of conformal mappings in Euclidean space of dimension > 2
In mathematics, Liouville's theorem, proved by Joseph Liouville in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states
Liouville's theorem (conformal mappings)
Liouville's_theorem_(conformal_mappings)
Topics referred to by the same term
equations, in mathematics something pertaining to equality, in logic All pages with titles containing Equational Equation (disambiguation) Equality (disambiguation)
Equational
Norwegian mathematician
quasiconformal mappings, and for her efforts for gender equality in mathematics. She was a professor of mathematics at the Norwegian University of Science and Technology
Kari_Hag
American mathematician (1895–1990)
Women’s Hall of Fame, KU Emily Taylor Center for Women and Gender Equality Mathematics Genealogy Project Bill Mayer, “Rabid KU Fans Prove Basketballs Mass
Wealthy_Babcock
Mathematical inequality
In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality c 1 2 ≤ 3 c 2 {\displaystyle c_{1}^{2}\leq 3c_{2}} between Chern numbers of compact
Bogomolov–Miyaoka–Yau inequality
Bogomolov–Miyaoka–Yau_inequality
Aspect of social equality
decision-makers. The determination of equality of opportunity in such an instance is based on mathematical probability: if equality of opportunity is in effect
Equal_opportunity
Logical principle
In the foundations of mathematics, Hume's principle (or HP) says that, given two collections of objects F {\displaystyle {\mathcal {F}}} and G {\displaystyle
Hume's_principle
Topics referred to by the same term
(Equpoise), an anabolic–androgenic steroid Equality (relational operator), used in computer programming for an equality operator Equalization (audio), in audio
EQ
Axioms for the natural numbers
In mathematical logic, the Peano axioms (/piˈɑːnoʊ/; [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural
Peano_axioms
List of landmark US court cases by year
provisions of the state constitution guaranteeing individual liberty and equality and is not rationally related to a legitimate state interest. This was
List of landmark court decisions in the United States by year
List_of_landmark_court_decisions_in_the_United_States_by_year
Study of optimal transportation and allocation of resources
In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Branch of applied mathematics
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods
Mathematical_economics
Collection of maps which give the same result
equalities (1) and (2) if one were to show that the diagram commutes. Diagram chasing (also called diagrammatic search) is a method of mathematical proof
Commutative_diagram
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS
EQUALITY MATHEMATICS