fractional power (series)
1Power series — In mathematics, a power series (in one variable) is an infinite series of the form:f(x) = sum {n=0}^infty a n left( x c ight)^n = a 0 + a 1 (x c)^1 + a 2 (x c)^2 + a 3 (x c)^3 + cdotswhere an represents the coefficient of the n th term, c is a… …
2Fractional calculus — is a branch of mathematical analysis that studies the possibility of taking real number powers of the differential operator ::D = frac{d}{dx} , and the integration operator J . (Usually J is used in favor of I to avoid confusion with other I like …
3Taylor series — Series expansion redirects here. For other notions of the term, see series (mathematics). As the degree of the Taylor polynomia …
4Fractional reserve banking — Banking A series on Financial services …
5Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… …
6Binomial series — In mathematics, the binomial series is the Taylor series at x = 0 of the function f given by f(x) = (1 + x) α, where α ∈ C is an arbitrary complex number. Explicitly, and the binomial series is the power series… …
7Summation of Grandi's series — General considerationstability and linearityThe formal manipulations that lead to 1 − 1 + 1 − 1 + · · · being assigned a value of 1⁄2 include: *Adding or subtracting two series term by term, *Multiplying through by a scalar term by term, *… …
8Time series — Time series: random data plus trend, with best fit line and different smoothings In statistics, signal processing, econometrics and mathematical finance, a time series is a sequence of data points, measured typically at successive times spaced at …
9analytic geometry — a branch of mathematics in which algebraic procedures are applied to geometry and position is represented analytically by coordinates. Also called coordinate geometry. [1820 30] * * * Investigation of geometric objects using coordinate systems.… …
10mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …
