In mathematics, the term undefined refers to a value, function, or other expression that cannot be assigned a meaning within a specific formal system...

Look up undefined in Wiktionary, the free dictionary. Undefined may refer to: Undefined (mathematics), with several related meanings Indeterminate form...

equal, it has one 0° angle and two undefined angles. If all three vertices are equal, all three angles are undefined. A rectangle with one pair of opposite...

understandable; the expressions in this group we call PRIMITIVE TERMS or UNDEFINED TERMS, and we employ them without explaining their meanings. At the same...

more general numerical structures called fields leaves division by zero undefined, and situations where division by zero might occur must be treated with...

programming), undefined value is a condition where an expression does not have a correct value, although it is syntactically correct. An undefined value must...

In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols...

known. Mathematical proof was revolutionized by Euclid (300 BCE), who introduced the axiomatic method still in use today. It starts with undefined terms...

Catastrophe theory Defined and undefined Degeneracy (mathematics) Hyperbolic growth Movable singularity Pathological (mathematics) Regular singularity Singular...

others leave it undefined or return errors depending on the context of use, reflecting the ambiguity of the expression in mathematical analysis. Many widely...

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...

In the philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the...

In mathematics and physics, vector is a term that refers to quantities that cannot be expressed by a single number (a scalar), or to elements of some...

{f'g-fg'}{g^{2}}}.} Division of any number by zero in most mathematical systems is undefined, because zero multiplied by any finite number always results...

In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. Limits of functions are...

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria...

Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned...

ambiguities, in mathematical textbooks it is common to require that the given integral converges absolutely, with E[X] left undefined otherwise. However...

Adding (or subtracting) 0 to any number leaves that number unchanged; in mathematical terminology, 0 is the additive identity of the integers, rational numbers...

In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and...

In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number...

The oscillation is zero if and only if the sequence converges. It is undefined if lim sup n → ∞ {\displaystyle \limsup _{n\to \infty }} and lim inf n...

by zero is undefined, the argument is invalid. Mathematical analysis as the mathematical study of change and limits can lead to mathematical fallacies...

In mathematics, the slope or gradient of a line is a number that describes the direction of the line on a plane. Often denoted by the letter m, slope...

point on the real line tan(θ/2). This function is undefined at the point π, since tan(π/2) is undefined; we will identify this point with our point ∞. Since...

In mathematics, a space is a set (sometimes known as a universe) endowed with a structure defining the relationships among the elements of the set. A...

In mathematics, the word constant conveys multiple meanings. As an adjective, it refers to non-variance (i.e. unchanging with respect to some other value);...

definition, describing the way all terms in mathematics are ultimately defined by reference to undefined terms: The subject in which we never know what...

(trígōnon) 'triangle' and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and side lengths of triangles...

assigning values to certain improper integrals which would otherwise be undefined. In this method, a singularity on an integral interval is avoided by limiting...