(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.

The part of tradecraft concerned with the analysis of intelligence

(mathematics, physics) The application of calculus to classical mechanics.

(mathematical analysis) The practice of extending analytic functions. / (mathematical analysis) An extension of an analytic function which is itself analytic.

plural of analytic continuation

(geometry) The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.

(cinematography) A cut-in during a scene to highlight a closer view of some part of the same space.

(philosophy) A style of philosophy that came to dominate English-speaking countries in the 20th century.

plural of analytic function

(mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers.