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RandomComplexes :: histogram

histogram -- histogram of a list of real numbers

Synopsis

Description

We combute h_i th 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, -29.8165, -29.8485, -29.8964,
     ------------------------------------------------------------------------
     -30.0939, -30.2512, -30.4086, -30.4998, -30.5638, -30.6142, -30.7452,
     ------------------------------------------------------------------------
     -30.7654, -30.8471, -30.9396, -31.1786, -31.2228, -31.3332, -31.9298,
     ------------------------------------------------------------------------
     -32.2526, -33.2361, -33.7889}

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 = {1, 1, 0, 1, 1, 0, 3, 5, 4, 4}

o7 : List

Ways to use histogram :

For the programmer

The object histogram is a method function.