original_docstring: 
      Returns the reconstructed data vector from the blurred mapping matrix `f` and solution vector *S*.
  
      Parameters
      -----------
      mapping_matrix
          The matrix representing the blurred mappings between sub-grid pixels and pixelization pixels.
  
      
docstring: Returns the reconstructed data vector from the blurred mapping matrix `f` and solution vector *S*.
  Parameters
  
  mapping_matrix
  The matrix representing the blurred mappings between sub-grid pixels and pixelization pixels.
docstring_tokens: Returns the reconstructed data vector from the blurred mapping matrix ` f ` and solution vector * S * . Parameters mapping_matrix The matrix representing the blurred mappings between sub - grid pixels and pixelization pixels .
code: def mapped_reconstructed_data_via_mapping_matrix_from(
      mapping_matrix: np.ndarray, reconstruction: np.ndarray
  ) -> np.ndarray:
      """
      Returns the reconstructed data vector from the blurred mapping matrix `f` and solution vector *S*.
  
      Parameters
      -----------
      mapping_matrix
          The matrix representing the blurred mappings between sub-grid pixels and pixelization pixels.
  
      """
      mapped_reconstructed_data = np.zeros(mapping_matrix.shape[0])
      for i in range(mapping_matrix.shape[0]):
          for j in range(reconstruction.shape[0]):
              mapped_reconstructed_data[i] += reconstruction[j] * mapping_matrix[i, j]
  
      return mapped_reconstructed_data
code_tokens: def mapped_reconstructed_data_via_mapping_matrix_from ( mapping_matrix : np . ndarray , reconstruction : np . ndarray ) -> np . ndarray : mapped_reconstructed_data = np . zeros ( mapping_matrix . shape [ 0 ] ) for i in range ( mapping_matrix . shape [ 0 ] ) : for j in range ( reconstruction . shape [ 0 ] ) : mapped_reconstructed_data [ i ] += reconstruction [ j ] * mapping_matrix [ i , j ] return mapped_reconstructed_data
short_docstring: Returns the reconstructed data vector from the blurred mapping matrix `f` and solution vector *S*.
short_docstring_tokens: Returns the reconstructed data vector from the blurred mapping matrix ` f ` and solution vector * S * .
comment: """
      Returns the reconstructed data vector from the blurred mapping matrix `f` and solution vector *S*.
  
      Parameters
      -----------
      mapping_matrix
          The matrix representing the blurred mappings between sub-grid pixels and pixelization pixels.
  
      """