piecewise

[pees-wahyz]

piecewise Definition

• 1. consisting of separate pieces or parts
• 2. describing a function that is defined by different formulas on different parts of its domain

Using piecewise: Examples

Take a moment to familiarize yourself with how "piecewise" can be used in various situations through the following examples!

• Example

  The piecewise structure of the novel made it difficult to follow.

• Example

  The function is piecewise continuous but not differentiable.

• Example

  The data was analyzed using a piecewise linear regression model.

piecewise Synonyms and Antonyms

Synonyms for piecewise

• discontinuous
• fragmented
• separate
• divided

Phrases with piecewise

• piecewise function

  a mathematical function that is defined by different formulas on different parts of its domain

  Example

  The piecewise function is used to describe the behavior of a system with multiple states.

• piecewise linear

  a mathematical function that is approximated by a series of straight lines

  Example

  The piecewise linear regression model is commonly used in economics and finance.

• piecewise constant

  a mathematical function that is constant on each interval of its domain

  Example

  The piecewise constant function is used to model systems with discrete states.

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Summary: piecewise in Brief

The term 'piecewise' [pees-wahyz] describes things that are composed of separate pieces or parts. It is often used in mathematics to describe functions that are defined by different formulas on different parts of their domain, such as 'The function is piecewise continuous but not differentiable.' 'Piecewise' extends into phrases like 'piecewise function,' which describes a mathematical function that is defined by different formulas on different parts of its domain.