### 4.5.4 int related functions

`char`
  characteristic of the coefficient field of a ring (see char)
`deg`
  degree of a polynomial resp. vector (see deg)
`det`
  determinant (see det)
`dim`
  Krull dimension of basering modulo ideal of leading terms, resp. dimension of module of leading terms (see dim)
`extgcd`
  Bezout representation of gcd (see extgcd)
`find`
  position of a substring in a string (see find)
`gcd`
  greatest common divisor (see gcd)
`koszul`
  Koszul matrix (see koszul)
`memory`
  memory usage (see memory)
`mult`
  multiplicity of an ideal, resp. module, of leading terms (see mult)
`ncols`
  number of columns (see ncols)
`npars`
  number of ring parameters (see npars)
`nrows`
  number of rows of a matrix, resp. the rank of the free module where the vector or module lives (see nrows)
`nvars`
  number of ring variables (see nvars)
`ord`
  degree of the leading term of a polynomial resp. vector (see ord)
`par`
  n-th parameter of the basering (see par)
`pardeg`
  degree of a number considered as a polynomial in the ring parameters (see pardeg)
`prime`
  the next lower prime (see prime)
`random`
  a pseudo random integer between the given limits (see random)
`regularity`
  regularity of a resolution (see regularity)
`rvar`
  test, if the given expression or string is a ring variable (see rvar)
`size`
  number of elements in an object (see size)
`trace`
  trace of an integer matrix (see trace)
`var`
  n-th ring variable of the basering (see var)
`vdim`
  vector space dimension of basering modulo ideal of leading terms, resp. of freemodule modulo module of leading terms (see vdim)

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