Search results
Results From The WOW.Com Content Network
Kronecker delta. In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers. The function is 1 if the variables are equal, and 0 otherwise: or with use of Iverson brackets : For example, because , whereas because . The Kronecker delta appears naturally in many areas of ...
t. e. In mathematical analysis, the Dirac delta function (or δ distribution ), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. [2] [3] [4] Since there is no function having this property, modelling the ...
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
The symbols Δt and ΔT (spoken as "delta T") are commonly used in a variety of contexts. Time. ΔT (timekeeping) the difference between two time scales, Universal Time and Terrestrial Time, which results from a drift in the length of a day; The interval of time used in determining velocity; The increment between successive nerve impulses
The Sokhotski–Plemelj theorem (Polish spelling is Sochocki) is a theorem in complex analysis, which helps in evaluating certain integrals. The real-line version of it ( see below) is often used in physics, although rarely referred to by name. The theorem is named after Julian Sochocki, who proved it in 1868, and Josip Plemelj, who ...
Limit (mathematics) In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value. [1] Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals . In formulas, a limit of a function is usually written as.
A mathematical sunflower can be pictured as a flower. The kernel of the sunflower is the brown part in the middle, and each set of the sunflower is the union of a petal and the kernel. In the mathematical fields of set theory and extremal combinatorics, a sunflower or -system [1] is a collection of sets in which all possible distinct pairs of ...
Definition and uses. A Green's function, G(x,s), of a linear differential operator L = L(x) acting on distributions over a subset of the Euclidean space , at a point s, is any solution of. (1) where δ is the Dirac delta function. This property of a Green's function can be exploited to solve differential equations of the form.