In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph (in Cartesian coordinates)...

mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is...

a function whose derivative is the given function; in this case, they are also called indefinite integrals. The fundamental theorem of calculus relates...

Heaviside developed the operational calculus as a tool in the analysis of telegraphic communications and represented the function as 1. Taking the convention...

tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this...

a function at a point generally determines the best linear approximation to the function at that point. Differential calculus and integral calculus are...

the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century...

called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns...

lambda calculus, function types are used to express the idea of higher-order functions In programming more generally, many higher-order function concepts...

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...

ISBN 978-0-511-64796-3. OCLC 569411497. Lax, Peter D. (2007). "9. Calculus of Vector- and Matrix-Valued Functions". Linear algebra and its applications (2nd ed.). Hoboken...

{\displaystyle \mathbf {r} (t)=\langle f(t),g(t)\rangle } In the linear case the function can be expressed in terms of matrices: y = A x , {\displaystyle...

In calculus, the differential represents the principal part of the change in a function y = f ( x ) {\displaystyle y=f(x)} with respect to changes in the...

others developed the umbral calculus by means of linear functionals on spaces of polynomials. Currently, umbral calculus refers to the study of Sheffer...

This is a list of calculus topics. Limit (mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation...

and "meta-calculus". In the discrete setting, a weight function w : A → R + {\displaystyle w\colon A\to \mathbb {R} ^{+}} is a positive function defined...

fundamental theorem of calculus to higher dimensions: In two dimensions, the divergence and curl theorems reduce to the Green's theorem: Linear approximations...

Continuity is one of the core concepts of calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept...

bounded linear operator is a special kind of linear transformation that is particularly important in infinite dimensions. In finite dimensions, a linear transformation...

mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial....

In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative...

Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of...

the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras to functions defined on their spectra)...

mathematical logic, the lambda calculus (also written as λ-calculus) is a formal system for expressing computation based on function abstraction and application...

developing a calculus for such operators generalizing the classical one. In this context, the term powers refers to iterative application of a linear operator...

on the domain. The implicit function theorem provides a uniform way of handling these sorts of pathologies. In calculus, a method called implicit differentiation...

mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which...

techniques of calculus. So with the integrand a stochastic process, the Itô stochastic integral amounts to an integral with respect to a function which is...

The functions whose graph is a line are generally called linear functions in the context of calculus. However, in linear algebra, a linear function is...

In calculus, the derivative of any linear combination of functions equals the same linear combination of the derivatives of the functions; this property...