The terminology is further blurred by the ( now rare ) synonym finite Fourier transform for the DFT, which apparently predates the term " fast Fourier transform " ( Cooley et al., 1969 ) but has the same initialism.

It is classified as a wasting asset due to the finite term of the license.

Each term consists of the product of a constant ( called the coefficient of the term ) and a finite number of variables ( usually represented by letters ), also called indeterminates, raised to whole number powers.

; Lambda calculus: A computation consists of an initial lambda expression ( or two if you want to separate the function and its input ) plus a finite sequence of lambda terms, each deduced from the preceding term by one application of Beta reduction.

Another investigation found the cosmological time, dt, diverges for any finite interval, ds, associated with an observer approaching the cosmological horizon, representing a physical limit to observation for the standard model when the cosmological term is included.

Often, the term " Markov chain " is used to mean a Markov process which has a discrete ( finite or countable ) state-space.

Often, the term Markov chain is used to mean a Markov process which has a discrete ( finite or countable ) state-space.

The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the word infinite in connection with these objects, which were nevertheless not finite.

The term finite mathematics refers either to

The term " indefinite summation " refers to the search for an inverse image of a given infinite sequence s of values for the forward difference operator, in other words for a sequence, called antidifference of s, whose finite differences are given by s. By contrast, summation as discussed in this article is called " definite summation ".

The related term enumeration refers to uniquely identifying the elements of a finite ( combinatorial ) set or infinite set by assigning a number to each element.

The physical constant, the electron's charge, can then be defined in terms of some specific experiment ; we set the renormalization scale equal to the energy characteristic of this experiment, and the first term gives the interaction we see in the laboratory ( up to small, finite corrections from loop diagrams, providing such exotica as the high-order corrections to the magnetic moment ).

In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem.

The term " miniseries " is used to refer to a single finite story told in separately broadcast episodes.

Note that, commonly, 2 < sup > ω </ sup > is referred to simply as the Cantor set, while the term Cantor space is reserved for the more general construction of D < sup > S </ sup > for a finite set D and a set S which might be finite, countable or possibly uncountable.

That is, in the Cantor normal form there is no finite number as last term, and the ordinal is nonzero.

S ( r, f ) = o ( T ( r, f )), outside a set of finite length i. e. the error term is small in comparison with the characteristic for " most " values of r. Much better estimates of

In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem.

; lambda calculus: A computation consists of an initial lambda expression ( or two if you want to separate the function and its input ) plus a finite sequence of lambda terms, each deduced from the preceding term by one application of Beta reduction.

The second term gives the energy of the " finite distance " interaction of the nuclear dipole with the field due to the electron spin magnetic moments.

The final term, often known as the " Fermi contact " term relates to the direct interaction of the nuclear dipole with the spin dipoles and is only non-zero for states with a finite electron spin density at the position of the nucleus ( those with unpaired electrons in s-subshells ).

The term " arithmetic mean " is preferred in mathematics and statistics because it helps distinguish it from other means such as the geometric and harmonic mean.

The term may be also used loosely or metaphorically to denote highly skilled people in any non -" art " activities, as well — law, medicine, mechanics, or mathematics, for example.

The term can also be applied to some degree to functions in mathematics, referring to the anatomy of curves.

Caltech requires students to take a core curriculum of 30 classes: five terms of mathematics, five terms of physics, two terms of chemistry, one term of biology, a freshman elective " menu " course, two terms of introductory lab courses, 2 terms of science writing, and 12 terms of humanities.

Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows ( also called morphisms, although this term also has a specific, non category-theoretical meaning ), where these collections satisfy some basic conditions.

A term dating from the 1940s, " general abstract nonsense ", refers to its high level of abstraction, compared to more classical branches of mathematics.

The term compact was introduced into mathematics by Maurice Fréchet in 1906 as a distillation of this concept.

Some branches of mathematics such as algebraic geometry, typically influenced by the French school of Bourbaki, use the term quasi-compact for the general notion, and reserve the term compact for topological spaces that are both Hausdorff and quasi-compact.

However, there is no exact, universally agreed, definition of the term " discrete mathematics.

Political economy was the earlier name for the subject, but economists in the latter 19th century suggested ' economics ' as a shorter term for ' economic science ' that also avoided a narrow political-interest connotation and as similar in form to ' mathematics ', ' ethics ', and so forth.

He was the first to use the word " group " () as a technical term in mathematics to represent a group of permutations.

In mathematics, the term Fourier analysis often refers to the study of both operations.

The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term " mathematics " from the ancient Greek μάθημα ( mathema ), meaning " subject of instruction ".

There are a number of uses of the term kernel in mathematics ; see Kernel ( mathematics ).

The term " applied mathematics " also describes the professional specialty in which mathematicians work on problems, often concrete but sometimes abstract.

The German philosopher Arthur Schopenhauer designates this " inner nature " with the term Will, and suggests that science and mathematics are unable to penetrate beyond the relationship between one thing and another in order to explain the " inner nature " of the thing itself, independent of any external causal relationships with other " things ".

Recreational mathematics is an umbrella term, referring to mathematical puzzles and mathematical games.

The term surjective and the related terms injective and bijective were introduced by Nicolas Bourbaki, a group of mainly French 20th-century mathematicians who wrote a series of books presenting an exposition of modern advanced mathematics, beginning in 1935.

According to Steinhaus, while he was strolling through the gardens he was surprised to over hear the term " Lebesgue measure " ( Lebesgue integration was at the time still a fairly new idea in mathematics ) and walked over to investigate.

Vector calculus ( or vector analysis ) is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3 dimensional Euclidean space The term " vector calculus " is sometimes used as a synonym for the broader subject of multivariable calculus, which includes vector calculus as well as partial differentiation and multiple integration.