add tags

Author: govin08

_posts/2024-10-05-Fourier_1.md

@@ -2,7 +2,7 @@
 layout: single
 title: "(1) The Genesis of Fourier Analysis"
 categories: mathematics
-tags: [analysis, Fourier analysis, Fourier Series]
+tags: [analysis, Fourier analysis, Fourier Series, differential equations, wave equation, heat equation, simple harmonic motion, Dirichlet problem, Laplacian, Fourier, Euler, d'Alembert]
 use_math: true
 publish: false
 author_profile: false
@@ -1434,7 +1434,7 @@ $$
 The first integrand has always periodic antiderivative and thus the first term always vanishes.
 The second integrand does too if $m\ne n$, while if $m=n$, the integrand is $1$ and the second term equals to 1
 
-(4) Similarly, the left hand side in this case equals to
+(4) Similarly, the left hand side in this case equals 0.to
 
 $$
 -\frac1{2\pi}\int_{-\pi}^\pi\cos(n+m)x\,dx