discontinuity of function
1Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …
2Discontinuity — may refer to: Discontinuity (casting), a harmless irregularity in a casting Discontinuity (Geotechnical engineering) in geotechnics is a plane or surface marking a change in physical or chemical properties in a soil or rock mass Discontinuity… …
3discontinuity — [dis΄kän tə no͞o′ə tē, dis kän tənyo͞o′ə tē] n. pl. discontinuities [ML discontinuitas: see DISCONTINUE & ITY] 1. lack of continuity or logical sequence 2. a gap or break 3. Math. a value of the independent variable x of a mathematical function… …
4discontinuity — noun Date: 1570 1. lack of continuity or cohesion 2. gap 5 3. a. the property of being not mathematically continuous < a point of discontinuity > b. an instance of …
5discontinuity — /dis kon tn ooh i tee, yooh /, n., pl. discontinuities. 1. lack of continuity; irregularity: The plot of the book was marred by discontinuity. 2. a break or gap: The surface of the moon is characterized by major discontinuities. 3. Math. a point… …
6discontinuity — 1. A point where a mathematical function becomes nondefined [16]. 2. An unconformity in which the bedding planes above and below the break are basically parallel, indicating a significant hiatus in the orderly sequence of sedimentary rocks …
7discontinuity — dis•con•ti•nu•i•ty [[t]ˌdɪs kɒn tnˈu ɪ ti, ˈyu [/t]] n. pl. ties 1) lack of continuity; irregularity 2) a break or gap 3) math. a point at which a mathematical function is not continuous • Etymology: 1560–70; < ML …
8Limit of a function — x 1 0.841471 0.1 0.998334 0.01 0.999983 Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1. It is said that the limit of (sin x)/x as x approache …
9Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
10Differentiable function — A differentiable function The absolute value function is not …
