The Origin of The Basic Formula of The Fourier Series
This paper discusses the Origin of the Basic Formula for the Fourier Series f(t)=a0/2+∑∞k=1 [ak cos(kπt/L)+bk sin(kπt/L) ] To obtain this model, the author derives the basic formula for the Fourier Series from Elementary Linear Algebra. In this derivation, we use the best approximation: least squa...
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Published in | Engineering, MAthematics and Computer Science (EMACS) Journal Vol. 5; no. 1; pp. 37 - 40 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
31.01.2023
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Online Access | Get full text |
ISSN | 2686-2573 2686-2573 |
DOI | 10.21512/emacsjournal.v5i1.9398 |
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Summary: | This paper discusses the Origin of the Basic Formula for the Fourier Series
f(t)=a0/2+∑∞k=1 [ak cos(kπt/L)+bk sin(kπt/L) ]
To obtain this model, the author derives the basic formula for the Fourier Series from Elementary Linear Algebra. In this derivation, we use the best approximation: least squares method whose details will be elaborated in this paper until we obtain the formula for the Fourier Series. |
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ISSN: | 2686-2573 2686-2573 |
DOI: | 10.21512/emacsjournal.v5i1.9398 |