piecewise

Adverb

Meaning

In terms or by means of pieces; a piece at a time.

(mathematics) Throughout separate parts, but not necessarily throughout the whole

Synonyms

Examples

Basic radiosity also has trouble resolving sudden changes in visibility (e.g. hard-edged shadows) because coarse, regular discretization into piecewise constant elements corresponds to a low-pass box filter of the spatial domain. Source: Internet

Among other things, he showed that every piecewise continuous function is integrable. Source: Internet

Expressions for the polynomial pieces can be derived by means of the Cox-de Boor recursion formula de Boor, p 131. : : de Boor, p. 131 That is, is piecewise constant one or zero indicating which knot span x is in (zero if knot span j is repeated). Source: Internet

Conversely, given a real number, if one takes the floating point representation and considers it as an integer, one gets a piecewise linear approximation of a shifted and scaled base 2 logarithm, (hence actually ), as shown at right. Source: Internet

For instance, the natural cubic spline is piecewise cubic and twice continuously differentiable. Source: Internet

HMMs are used in speech recognition because a speech signal can be viewed as a piecewise stationary signal or a short-time stationary signal. Source: Internet

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