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AngouriMath.Functions.Algebra.CubeRootLogarithmAnsatz

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Classes within the AngouriMath.Functions.Algebra.CubeRootLogarithmAnsatz namespace

• Constants

  Summary

  The cube roots of rationals an integrand needs, as elements of one field
  Q(c) with c^3 = m: a rational where the value is a cube, and
  otherwise a rational multiple of c or c^2 where the value's cube-free
  part is that of m or of m^2. A value that would need a second
  generator is declined.
  

• Field

  Summary

  The coefficient field: Q(c) with c^3 = m once a constant has been
  needed, and the rationals -- with whatever symbols the integrand carries -- before.
  A coefficient with c in it is kept as a polynomial in c of degree
  below three, so that products stay small and equal ones read equal.
  

• XPoly

  Summary

  A polynomial in x as its coefficients by power, each an entity free of
  x -- a number, or a polynomial in the field's constant and the symbols.
  Arithmetic here never asks the expander, whose term limit a product of a dozen
  factors runs past before it collects anything.
  

• YPoly

  Summary

  A polynomial in x and y reduced by y^3 = P: three
  XPoly, the coefficients of 1, y and y^2.