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...

such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been...

In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes...

number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete logarithm in ( Z / q...

Digital data Discrete calculus Discrete system Discretization Normalized frequency Nyquist–Shannon sampling theorem Time-scale calculus "Digital Signal...

to the system of umbral calculus. Newton series expansions can be superior to Taylor series expansions when applied to discrete quantities like quantum...

time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with...

combinatorics. Topics in this area include: Discrete Laplace operator Discrete exterior calculus Discrete calculus Discrete Morse theory Topological combinatorics...

which are piecewise linear finite elements, finite volumes, and discrete exterior calculus. To facilitate computation, the Laplacian is encoded in a matrix...

and 1. Methods of calculus do not readily lend themselves to problems involving discrete variables. Especially in multivariable calculus, many models rely...

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

In mathematics, calculus on finite weighted graphs is a discrete calculus for functions whose domain is the vertex set of a graph with a finite number...

geometry processing and topological combinatorics. Discrete Laplace operator Discrete exterior calculus Discrete Morse theory Topological combinatorics Spectral...

In discrete calculus the indefinite sum operator (also known as the antidifference operator), denoted by ∑ x {\textstyle \sum _{x}} or Δ − 1 {\displaystyle...

processes are respectively referred to as discrete-time and continuous-time stochastic processes. Discrete-time stochastic processes are considered easier...

functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras...

optimization is a branch of optimization in applied mathematics. As opposed to discrete optimization, the variables used in the objective function are required...

{\displaystyle b^{k}} can be defined for all integers k {\displaystyle k} , and the discrete logarithm log b ⁡ ( a ) {\displaystyle \log _{b}(a)} is an integer k {\displaystyle...

2024. "Calculus (Differential and Integral Calculus with Examples)". Byju's. Retrieved June 13, 2024. Franklin, James (July 2017). "Discrete and Continuous:...

The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...

Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...

of Boolean integral calculus (German: Boolescher Integralkalkül) has been developed as well. BDC has also found uses in discrete event dynamic systems...

additions to the family include the π-calculus, the ambient calculus, PEPA, the fusion calculus and the join-calculus. While the variety of existing process...

Regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the Einstein field equation. The calculus was...

The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes...

applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This...

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...

and generating functions. During this period, calculus techniques were applied to approximate discrete problems by continuous ones. In the 18th century...