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Macaulay2Doc > rings > basic rings of numbers

basic rings of numbers

The following rings are initially present in every session with Macaulay 2. The names of some of these rings are double letters so the corresponding symbols with single letters are preserved for use as variables.

Numbers in these rings are constructed as follows.

i1 : 1234

o1 = 1234
i2 : 123/4

     123
o2 = ---
      4

o2 : QQ
i3 : 123.4

o3 = 123.4

o3 : RR (of precision 53)
i4 : 123+4*ii

o4 = 123+4*ii

o4 : CC (of precision 53)
The usual arithmetic operations are available.
i5 : 4/5 + 2/3

     22
o5 = --
     15

o5 : QQ
i6 : 10^20

o6 = 100000000000000000000
i7 : 3*5*7

o7 = 105
i8 : 3.1^2.1

o8 = 10.7611716060997

o8 : RR (of precision 53)
i9 : sqrt 3.

o9 = 1.73205080756888

o9 : RR (of precision 53)
An additional pair of division operations that produce integer quotients and remainders is available.
i10 : 1234//100

o10 = 12
i11 : 1234%100

o11 = 34