An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

The branch of mathematics that deals with limits and the → differentiation and → integration of → functions of one or more → variables. Same as → infinitesimal calculus and → differential calculus .

L. calculus "small stone," from calx, calcis "limestone," → calculate, + -ulus diminutive suffix, → -ule.

Afmârik, from afmâr, → calculate + Pers. suffix -ik denoting a subject, a branch of sciences, a discipline, → ics.

A → claculus based on the properties of the successive values of → variable quantities and their → differences or → increments.

→ calculus, → finite, → difference.

Afmârik, → calculus, degarsânihâ, plural of degarsân, → difference, karânmand, → finite.

A branch of mathematics that deals with the calculation of the probabilities of events.

→ calculus; → probability.

Afmârik, → calculus; šavânâihâ, plural of šavânâi→ probability.

The application of → Cauchy's theorem to compute residues and poles, evaluate contour integrals, sum infinite series, and carry out related calculations.

→ calculus; → residue.

The branch of mathematics dealing with the differentiation of tensors.

→ calculus; → tensor.

Afmârik, → calculus; → tensor.

The study of maximum and minimum properties of → definite integrals.

→ calculus; → variation.

Afmârik, → calculus; varteš→ variation.

The area of calculus dealing with differentiation and integration of vector-valued functions; a sub-area of tensor calculus.

→ calculus; → vector.

Afmârik, → calculus; bordâr, → vector.

The two branches of mathematics that make up the → calculus. → differential calculus; → integral calculus.

→ differential; → integral; → calculus.

A branch of calculus which is concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behavior of functions. → integral calculus.

→ differential; → calculus.

Same as → first-order logic.

→ first; → order; → predicate; → calculus.

The body of rules and processes by means of which continuously varying magnitudes are dealt with in → calculus. The combined methods of mathematical analysis of → differential calculus and → integral calculus.

→ infinitesimal, → calculus.

Branch of the calculus that deals with integration and its use in finding volumes, areas, equations of curves, solutions of differential equations, etc.

→ integral; → calculus.

The treatment of matrices whose entries are functions.

→ matrix; → calculus.

A method of mathematical analysis which in many cases makes it possible to reduce the study of differential operators, pseudo-differential operators and certain types of integral operators, and the solution of equations containing them, to an examination of simpler algebraic problems. It is also known as operational analysis.

→ operational; → calculus.

The study of vector functions between vector spaces by means of → differential and integral calculus.

→ vector; → calculus.