39 relations: Algebra, Algebraic closure, Algebraic expression, Alonzo Church, Arithmetic, Bracket (mathematics), Closed-form expression, Combinatory logic, Constant (mathematics), Decision problem, Direct sum, Division by zero, Equation, Expression (computer science), Formal grammar, Formal system, Formula, Free variables and bound variables, Function (mathematics), Functional programming, Lambda calculus, List of mathematical symbols, Mathematical logic, Mathematics, Operation (mathematics), Operator (mathematics), Order of operations, Polynomial, Programming language theory, Quadratic function, Rational function, Richardson's theorem, Semantics, Stephen Cole Kleene, Syntax (logic), Term (logic), Undefined (mathematics), Variable (mathematics), Well-formed formula.
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed.
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses, square brackets, braces, and angle brackets ⟨.
In mathematics, a closed-form expression is a mathematical expression that can be evaluated in a finite number of operations.
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic.
In mathematics, the adjective constant means non-varying.
In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.
The direct sum is an operation from abstract algebra, a branch of mathematics.
In mathematics, division by zero is division where the divisor (denominator) is zero.
In mathematics, an equation is a statement of an equality containing one or more variables.
An expression in a programming language is a combination of one or more constants, variables, operators, and functions that the programming language interprets (according to its particular rules of precedence and of association) and computes to produce ("to return", in a stateful environment) another value.
In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) is a set of production rules for strings in a formal language.
A formal system is the name of a logic system usually defined in the mathematical way.
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place.
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data.
Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.
This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.
In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Programming language theory (PLT) is a branch of computer science that deals with the design, implementation, analysis, characterization, and classification of programming languages and their individual features.
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.
In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.
In mathematics, Richardson's theorem establishes a limit on the extent to which an algorithm can decide whether certain mathematical expressions are equal.
Semantics (from σημαντικός sēmantikós, "significant") is the linguistic and philosophical study of meaning, in language, programming languages, formal logics, and semiotics.
Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.
In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them.
In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.
In mathematics, undefined has several different meanings, depending on the context.
In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.
In mathematical logic, propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence of symbols from a given alphabet that is part of a formal language.