Dictionary

piecewise en · ADJ

Etymology

Etymology tree English piece Proto-Indo-European *weyd- Proto-Indo-European *-os Proto-Indo-European *wéydos Proto-Indo-European *weyd-s-ós Proto-Germanic *wīsaz Proto-Germanic *-wīsaz Proto-West Germanic *-wīs Old English -wīs Middle English -wis English -wise English piecewise From piece + -wise.

Meanings

1. (not-comparable) Defined by subfunctions and subdomains
   • Our formula is not defined as a piecewise function, but rather as a single closed-form expression 2018 April 1, Ivan Matić, Radoš Radoičić, Dan Stefanica, “A sharp Pólya-based approximation to the normal cumulative distribution function”, in Applied Mathematics and Computation, volume 322, →DOI, →ISSN, pages 111–122:
   • a piecewise function that consists of a single quadratic term and a constant term 2022, Ethan T. Wang, “Efficient Quantum State Preparation for the Cauchy Distribution Based on Piecewise Arithmetic”, in IEEE Transactions on Quantum Engineering, volume 3, →DOI, →ISSN, pages 1–9:
   • is a piecewise function but not a PLQ function 2019 September 1, Deepak Kumar, Yves Lucet, “Computation of the Epsilon-Subdifferential of Convex Piecewise Linear-Quadratic Functions in Optimal Worst-Case Time”, in Set-Valued and Variational Analysis, volume 27, number 3, →DOI, →ISSN, pages 623–641:
2. (abbreviation, alt-of, clipping, not-comparable) Clipping of piecewise linear.
   alt of piecewise linear
   • In essence, a piecewise function over an interval 2016 November 14, Daniel Berjon, Guillermo Gallego, Carlos Cuevas, Francisco Moran, Narciso Garcia, “Optimal Piecewise Linear Function Approximation for GPU-Based Applications”, in IEEE Transactions on Cybernetics, volume 46, number 11, →DOI, →ISSN, pages 2584–2595:
   • In piecewise regression we replace the concept 1970 September 14, Victor E. McZgee, Willard T. Carleton, “Piecewise Regression”, in Journal of the American Statistical Association, volume 65, number 331, →DOI, →ISSN, pages 1109–1124:
   • we can get arbitrarily close to any piecewise function with knot locations satisfying 2000 July 14, J. Pittman, C.A. Murthy, “Fitting optimal piecewise linear functions using genetic algorithms”, in IEEE Transactions on Pattern Analysis and Machine Intelligence, volume 22, number 7, →DOI, pages 701–718:

Deriveds

nonpiecewise · piecewisely

Synonyms

piecewise-defined

piecewise en · ADV

Etymology

Etymology tree English piece Proto-Indo-European *weyd- Proto-Indo-European *-os Proto-Indo-European *wéydos Proto-Indo-European *weyd-s-ós Proto-Germanic *wīsaz Proto-Germanic *-wīsaz Proto-West Germanic *-wīs Old English -wīs Middle English -wis English -wise English piecewise From piece + -wise.

Meanings

1. (not-comparable) In terms or by means of pieces; a piece at a time.
   • Near-synonyms: piecemeal, apiece
   • One could even do the recount piecewise, starting with the most questionable regions. 2006 August 13, “LETTERS; Practical Method for Mexican Vote Recount”, in Los Angeles Times:
2. (especially, not-comparable) Throughout separate parts, but not necessarily throughout the whole.
   • piecewise linear model which can serve as the base of any other 2013 March 9, Domine Leenaerts, Wim M. G. van Bokhoven, Piecewise Linear Modeling and Analysis, Springer Science & Business Media, →ISBN:
   • theory of piecewise differentiable functions and, specifically, piecewise differentiable equations 2012, Stefan Scholtes, Introduction to Piecewise Differentiable Equations (SpringerBriefs in Optimization), New York: Springer, →ISBN:
   • automatic reconstruction of accurate, concise, piecewise smooth surface models from scattered range data 1994 July 24, Hugues Hoppe, Tony DeRose, Tom Duchamp, Mark Halstead, Hubert Jin, John McDonald, Jean Schweitzer, Werner Stuetzle, “Piecewise smooth surface reconstruction”, in Proceedings of the 21st annual conference on Computer graphics and interactive techniques (SIGGRAPH '94), New York, NY, USA: Association for Computing Machinery, →DOI, →ISBN, pages 295–302:

Coordinates

locally · systemically

Deriveds

piecewise function · piecewiseness · piecewise linear · piecewise smooth

Synonyms

piecemeal · apiece

Translations (21)

es por piezas (piece at a time) · pl po kawałku (piece at a time) · is á köflum (mathematics: throughout separate parts but not necessarily throughout the whole) · sv etappvis (piece at a time) · pl przedziałowo (mathematics: throughout separate parts but not necessarily throughout the whole) · sv stegvis (piece at a time) · pt em troços (mathematics: throughout separate parts but not necessarily throughout the whole) · es a trozos (mathematics: throughout separate parts but not necessarily throughout the whole) · it a tratti (mathematics: throughout separate parts but not necessarily throughout the whole) · pt por partes (mathematics: throughout separate parts but not necessarily throughout the whole) · fi paloittain (mathematics: throughout separate parts but not necessarily throughout the whole) · es por tramos (mathematics: throughout separate parts but not necessarily throughout the whole) · es por partes (mathematics: throughout separate parts but not necessarily throughout the whole) · ast a tramos (mathematics: throughout separate parts but not necessarily throughout the whole) · sv steg för steg (piece at a time) · fi paloittain (piece at a time) · ja 区分的に (mathematics: throughout separate parts but not necessarily throughout the whole) · pl odcinkowo (piece at a time) · gl por tramos (mathematics: throughout separate parts but not necessarily throughout the whole) · ca a trossos (mathematics: throughout separate parts but not necessarily throughout the whole) · fr par morceaux (mathematics: throughout separate parts but not necessarily throughout the whole)