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| -rw-r--r-- | Fourier Series.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 87806b1..a9a206d 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -80,12 +80,12 @@ Summing these two functions we get the following: #What is the Fourier series actually?</b> Now, to begin proving that the Fourier series is a true fact let us begin with the following hypthesis: -Let f ____ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as : +Let $f \mathbbI \rightarrow \mathbbC$ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as : $$ \begin{array}{ccl} f & = & \Sigma e^{inx}\\ -& = & a0 + \Sigma a_n\cos nx + \Sigma b_n\sin nx\\ +& = & a_0 + \Sigma a_n\cos nx + \Sigma b_n\sin nx\\ \end{array} $$ |