next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
Macaulay2Doc :: norm

norm

Synopsis

Description

i1 : printingPrecision = 2

o1 = 2
i2 : R = RR_100

o2 = RR
       100

o2 : RealField
i3 : M = 10*random(R^3,R^10)

o3 = | 3.6 6.1 7.1 7.5 1.7 4.4  4.1 2.7 6.1 3.7 |
     | 4.3 .67 9   8.4 3   4.3  2.4 8.1 9.1 8.5 |
     | 6.9 6.1 7.5 1.5 6.6 .044 3.6 8.8 9.7 4.5 |

             3       10
o3 : Matrix R  <--- R
i4 : norm M

o4 = 9.74136797440497804619352927859

o4 : RR (of precision 100)
i5 : norm_(numeric_20 infinity) M

o5 = 9.74136

o5 : RR (of precision 20)
i6 : norm {3/2,4,-5}

o6 = 5
The norm of a polynomial is the norm of the vector of its coefficients.
i7 : RR[x]

o7 = RR  [x]
       53

o7 : PolynomialRing
i8 : (1+x)^5

      5     4      3      2
o8 = x  + 5x  + 10x  + 10x  + 5x + 1

o8 : RR  [x]
       53
i9 : norm oo

o9 = 10

o9 : RR (of precision 53)

Ways to use norm :