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On this page you'll find 10+ example sentences with Piecewise. Discover the meaning, how to use the word correctly in a sentence.

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Piecewise in a sentence

Piecewise meaning

  1. In terms or by means of pieces; a piece at a time.
  2. Throughout separate parts, but not necessarily throughout the whole.

Using Piecewise

  • The main meaning on this page is: In terms or by means of pieces; a piece at a time. | Throughout separate parts, but not necessarily throughout the whole.
  • In the example corpus, piecewise often appears in combinations such as: piecewise linear, is piecewise, piecewise composite.

Context around Piecewise

  • Average sentence length in these examples: 23.8 words
  • Position in the sentence: 2 start, 8 middle, 7 end
  • Sentence types: 17 statements, 0 questions, 0 exclamations

Often before:

blue 1× using 1× continuous 1×

Often after:

linear 7× composite 2× constant 2× functions 1× continuous 1× differentiable 1× cubic 1× stationary 1× polynomial 1× quadratic 1×

Sentence patterns with Piecewise

These short patterns come directly from the example sentences and show how the word is often embedded:

and even piecewise linear systems 1× as a piecewise stationary signal 1× as the piecewise linear model 1× by a piecewise quadratic function 1× bézier a piecewise composite bézier 1× discretization into piecewise constant elements 1× for continuous piecewise differentiable functions 1× gets a piecewise linear approximation 1×

Sentence openings and endings

Common sentence openings:

among other things 1× basic radiosity also 1× conversely given a 1× dirichlet has shown 1× expressions for the 1× for instance the 1×

Common sentence endings:

are fundamentally deterministic 1× called piecewise smooth 1× can be used 1× function is integrable 1× in gray smooth 1× is piecewise linear 1×

Words around Piecewise

Just before it in the word index:

pieces 5.318 piecemeal 112 pieced 72 piece 7.774 piebald 6 pie 1.049

Just after it in the word index:

piecework 4 piech 3 piechocki 2 pieciak 2 piecing 59 piecrust 4

Similar in corpus frequency:

aaditya 23 aardman 23 abbo 23 aberg 23 aboitiz 23 abovementioned 23

Corpus analysis for Piecewise

  • In this selection, "piecewise" usually appears in the middle of the sentence. The average example has 23.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, blue, using, continuous, linear, composite and constant stand out and add context to how "piecewise" is used.
  • Recognizable usage signals include and even piecewise linear systems and as a piecewise stationary signal. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "piecewise" sits close to words such as aaditya, aardman and abbo, which helps place it inside the broader word index.

Example types with piecewise

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Integration of the beam equation again results in piecewise polynomial deflection. (11 words)

Simpson's rule approximates the integrand by a piecewise quadratic function. (11 words)

Among other things, he showed that every piecewise continuous function is integrable. (12 words)

Longer example sentences

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). (47 words)

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. (38 words)

Relationship to piecewise/composite Bézier A piecewise/composite Bézier curve is a series of Bézier curves joined with at least C0 continuity (the last point of one curve coincides with the starting point of the next curve). (37 words)

Example sentences (17)

Piecewise linear approximation to exponential and logarithm Integers reinterpreted as floating point numbers (in blue, piecewise linear), compared to a scaled and shifted logarithm (in gray, smooth).

Relationship to piecewise/composite Bézier A piecewise/composite Bézier curve is a series of Bézier curves joined with at least C0 continuity (the last point of one curve coincides with the starting point of the next curve).

Ninth-grade student Rosemary Madu showed attendees how she created an Easter bunny on a graph using piecewise functions.

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

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.

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.

Dirichlet has shown this for continuous, piecewise-differentiable functions (thus with countably many non-differentiable points).

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).

Advertentie

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

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

In more complex cases the circuit may be analyzed with specialized computer programs or estimation techniques such as the piecewise-linear model.

Integration of the beam equation again results in piecewise polynomial deflection.

Nonlinear dynamical systems and chaos main Simple nonlinear dynamical systems and even piecewise linear systems can exhibit a completely unpredictable behavior, which might seem to be random, despite the fact that they are fundamentally deterministic.

Simpson's rule approximates the integrand by a piecewise quadratic function.

The logistic map is only a second-degree polynomial; the horseshoe map is piecewise linear.

These properties uniquely characterize surface area for a wide class of geometric surfaces called piecewise smooth.

This simplifies finding a start value for the iterative method that is close to the square root, for which a polynomial or piecewise-linear approximation can be used.

Advertentie

Common combinations with piecewise

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "piecewise" in a sentence?
An example: "Piecewise linear approximation to exponential and logarithm Integers reinterpreted as floating point numbers (in blue, piecewise linear), compared to a scaled and shifted logarithm (in gray, smooth)." This page contains 10+ example sentences with the word "piecewise" from authentic English texts.
What does "piecewise" mean?
Piecewise means: In terms or by means of pieces; a piece at a time.
How many example sentences with "piecewise" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "piecewise", drawn from a database of millions of English sentences.