KAJIAN FUNGSI DELTA DIRAC

Fatoni, Muszairon (2009) KAJIAN FUNGSI DELTA DIRAC. Other thesis, University of Muhammadiyah Malang.

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Abstract

Function "Dirac Delta are often found in the phenomenon - a phenomenon of physics, but its meaning is not as known functions in mathematics. Dirac Delta Function is used to describe a state of physical phenomena that have value at some point, but at another point value equal to zero. In addition, integral functions along domainya interval equal to one. A problem to be settled on the Dirac Delta function is to determine bagaiamana form of the Dirac delta function, Laplace transforasi form of the Dirac delta function, properties of the Dirac delta function, Dirac delta function convolution and application to the Dirac delta function differential equation. The problem in this thesis is the Dirac delta function which sought laplacenya shape transformation. The process of finding the form of Laplace transform of the Dirac delta function is performed by using all the theories related to the Laplace transformation, among other things: the properties of Laplace transform, inverse Laplace transform, and convolution properties. By knowing the shape transformation laplacenya will be known that the value of this function exists. Although the math does not exist. Discussion of the Dirac delta function is known to be a form of transformation laplacenya constant value. This result is opposite a family of exponential functions. Dirac delta function can be used in physical phenomena such as the golf ball when hit, a surprise listrk, collision mass, heat transfer and so on.

Item Type: Thesis (Other)
Subjects: L Education > L Education (General)
Divisions: Faculty of Teacher Training and Education > Department of Mathematics and Computing
Depositing User: Anwar Jasin
Date Deposited: 20 Apr 2012 09:12
Last Modified: 20 Apr 2012 09:12
URI: http://eprints.umm.ac.id/id/eprint/2526

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