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RandomComplexes :: histogram

histogram -- histogram of a list of real numbers

Synopsis

Description

We combute hi th number to elemnts 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, -29.6847, -29.8731, -29.9308,
     ------------------------------------------------------------------------
     -30.1102, -30.2407, -30.3485, -30.4085, -30.4526, -30.4735, -30.6479,
     ------------------------------------------------------------------------
     -30.8272, -31.0013, -31.1423, -31.261, -31.3792, -31.461, -31.9699,
     ------------------------------------------------------------------------
     -32.3621, -33.9873, -35.5593}

o3 : List
i4 : maximalEntry M

o4 = 138

o4 : RR (of precision 53)
i5 : histogram(svds/log,10)

o5 = {6, 14, 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 = {1, 0, 1, 0, 0, 1, 2, 4, 6, 5}

o7 : List

Ways to use histogram :