uniform -- whether all elements of a list are the same class

Usage:

uniform L
Inputs:
- L, a list,
Outputs:
- a Boolean value, whether all elements of L are of the same class

Description

i1 : uniform {2, 5, 0}

o1 = true

i2 : uniform {2*0.5, 5*0.5, 0/2}

o2 = false

The second list is not uniform because 0/2 is represented as a rational number (of class QQ), while 2*0.5 and 5*0.5 are represented as real numbers (of class RR).

i3 : uniform {hi, "hello"}

o3 = false

i4 : uniform {"hi", "hello"}

o4 = true

i5 : R = QQ[x,y,z];

i6 : uniform {x^2*y*z, 5*y, 12/7}

o6 = false

i7 : uniform {x^2*y*z, 5*y, (12/7)_R}

o7 = true

i8 : S = ZZ[t];

i9 : uniform {monomialIdeal(x), monomialIdeal(t)}

o9 = true

i10 : uniform {monomialIdeal(t), ideal(t)}

o10 = false

i11 : uniform {S/monomialIdeal(t), S/ideal(t)}

o11 = true

For the programmer

The object uniform is a function closure.

The source of this document is in Macaulay2Doc/functions/uniform-doc.m2:43:0.

uniform -- whether all elements of a list are the same class

Description

See also

For the programmer