title: Alexander–Hirschowitz theorem
text: # Alexander–Hirschowitz theorem
  
  The Alexander–Hirschowitz theorem shows that a specific collection of k double points in the P^r will impose independent types of conditions on homogenous polynomials and the hypersurface of d with many known lists of exceptions. In which case, the classic polynomial interpolation that is located in several variables can be generalized to points that have larger multiplicities.
  
  