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2012•Journal of North China Institute of Water Conservancy and Hydroelectric PowerRequires access

Improvement of Piecewise Function Represented by Unit Step Function and It' s Applications

Bai Ming-yue

Open publisher page 1 citations

Abstract

By the introduction of new function and the increase of the function definition domain,a method of represented piecewise function by unit step function which derives from the literature[1] is improved.The improvement makes the piecewise function containing more than two break points more concise,which simplifies the Laplace transformation to slove nth order inhomogeneous linear differential equations with constant coefficients and disturbed term of piecewise function.

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What this paper is about

By the introduction of new function and the increase of the function definition domain,a method of represented piecewise function by unit step function which derives from the literature[1] is improved.The improvement makes the piecewise function containing more than two break points more concise,which simplifies the Laplace transformation to slove nth order inhomogeneous linear differential equations with constant coefficients and disturbed term of piecewise function.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

By the introduction of new function and the increase of the function definition domain,a method of represented piecewise function by unit step function which derives from the literature[1] is improved.The improvement makes the piecewise function containing more than two break points more concise,which simplifies the Laplace transformation to slove nth order inhomogeneous linear differential equations with constant coefficients and disturbed term of piecewise function.

Key concepts: Piecewise, Function (biology), Laplace transform, Mathematics, Transformation (genetics), Piecewise linear function, Step function, Constant (computer programming)

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