  
  
                                [1X 4ti2Interface [101X
  
  
                                [1X A link to 4ti2 [101X
  
  
                                   2022.09-01
  
  
                               19 September 2022
  
  
                               Sebastian Gutsche
  
  
  
  Sebastian Gutsche
      Email:    [7Xmailto:gutsche@mathematik.uni-siegen.de[107X
      Homepage: [7Xhttps://sebasguts.github.io[107X
      Address:  [33X[0;14YDepartment Mathematik[133X
                [33X[0;14YUniversität Siegen[133X
                [33X[0;14YWalter-Flex-Straße 3[133X
                [33X[0;14Y57072 Siegen[133X
                [33X[0;14YGermany[133X
  
  
  
  -------------------------------------------------------
  
  
  [1XContents (4ti2Interface)[101X
  
  1 [33X[0;0YIntroduction[133X
    1.1 [33X[0;0YWhat is the idea of 4ti2Interface[133X
  2 [33X[0;0YInstallation[133X
    2.1 [33X[0;0YHow to install this package[133X
  3 [33X[0;0Y4ti2 functions[133X
    3.1 [33X[0;0YGroebner[133X
      3.1-1 4ti2Interface_groebner_matrix
      3.1-2 4ti2Interface_groebner_basis
      3.1-3 [33X[0;0YDefining ideal of toric variety[133X
    3.2 [33X[0;0YHilbert[133X
      3.2-1 4ti2Interface_hilbert_inequalities
      3.2-2 4ti2Interface_hilbert_equalities_in_positive_orthant
      3.2-3 4ti2Interface_hilbert_equalities_and_inequalities
      3.2-4 [33X[0;0YGenerators of semigroup[133X
      3.2-5 [33X[0;0YHilbert basis of dual cone[133X
    3.3 [33X[0;0YZSolve[133X
      3.3-1 4ti2Interface_zsolve_equalities_and_inequalities
    3.4 [33X[0;0YGraver[133X
      3.4-1 4ti2Interface_graver_equalities
  4 [33X[0;0YTool functions[133X
    4.1 [33X[0;0YRead and write matrix[133X
      4.1-1 4ti2Interface_Read_Matrix_From_File
      4.1-2 4ti2Interface_Write_Matrix_To_File
      4.1-3 4ti2Interface_Cut_Vector
  
  
  [32X
