histogram -- histogram of a list of real numbers

Synopsis

Usage:

h = histogram(L,n)
Inputs:
- L, a list, of numbers in RR or QQ or ZZ
- n, an integer, the number of subintervals to be considered.
Outputs:
- h, a list, of n integers, the number of entries in L in i-th equidistant subdivision of the interval from min L to max L

Description

We compute h_i the number to elements in the i-th equidistant subdivision of the interval [min L, max L] into n parts

i1 : M=(randomChainComplex({20,20},{20},ZeroMean=>true)).dd_1;

              40       40
o1 : Matrix ZZ   <-- ZZ

i2 : (svds,U,Vt)=SVD(M**RR_53);

i3 : (entries matrix {svds})_0/log

o3 = {6.37106, 6.31472, 6.27245, 6.10348, 6.02102, 5.98252, 5.92934, 5.83927,
     ------------------------------------------------------------------------
     5.72509, 5.63923, 5.51957, 5.51441, 5.45378, 5.3237, 5.14787, 5.11063,
     ------------------------------------------------------------------------
     4.80679, 4.71988, 4.56427, 3.9834, -30.0491, -30.2254, -30.4045,
     ------------------------------------------------------------------------
     -30.6124, -30.8016, -30.8016, -30.8016, -30.8016, -30.8016, -30.8016,
     ------------------------------------------------------------------------
     -30.8016, -30.8016, -30.8016, -30.8016, -30.8016, -30.8016, -30.8016,
     ------------------------------------------------------------------------
     -30.8016, -31.3779, -31.4988}

o3 : List

i4 : maximalEntry M

o4 = 138

o4 : RR (of precision 53)

i5 : histogram(svds/log,10)

o5 = {20, 0, 0, 0, 0, 0, 0, 0, 0, 20}

o5 : List

i6 : histogram(svds_{0..19}/log,10)

o6 = {1, 0, 1, 2, 2, 1, 4, 2, 4, 3}

o6 : List

i7 : histogram(svds_{20..39}/log,10)

o7 = {2, 0, 0, 0, 14, 0, 1, 1, 1, 1}

o7 : List

Ways to use histogram:

histogram(List,ZZ)

For the programmer

The object histogram is a method function.