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@@ -79,8 +79,8 @@ Summing these two functions we get the following:
<center>![$\cos^{2n}(x) + cos^{2n+1}(x)$](/cos10x-cos11x.gif)</center>
#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 $f \mathbbI \rightarrow \mathbbC$ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as :
+Now, to begin proving that the Fourier series is a true fact let us begin with the following hypothesis:
+Let $f \mathbb I \rightarrow \mathbb C$ 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}