title: Can any function be decomposed as sum of Gaussians?
body: <ul>
  <li>In Fourier series, any function can be decomposed as sum of sine and 
  cosine</li>
  <li>In neural networks, any function can be decomposed as weighted sum over logistic functions. (A one layer neural network)</li>
  <li>In wavelet transforms, any function can be decomposed as weighted sum of Haar functions</li>
  </ul>
  
  <p>Is there also such property for decomposition into mixture of Gaussians? If so, is there a proof?</p>