19、list 矩阵的转置 Transposelist,n1,n2.将矩阵list 第k行与第nk列交换 Detm 矩阵的行列式 Eigenvaluesm 特征值 Eigenvectorsm 特征向量 Eigensystemm 特征系统,返回eigvalues,eigvectors LinearSolvem, b 解线性方程组m.x=b NullSpacem 矩阵m的零空间,即m.NullSpacem=零向量 RowReducem m化简为阶梯矩阵 Mi...
Should I change the initial values? Use Mathematica FindRoot to solve a bunch of equations. Error messages: is not a list of numbers with dimensions. Does it mean there are no real roots? Should I change the initial values? Show transcribed image...
FindInstance[expr,vars]求不定方程的特解 FindInstance[expr,vars,dom]求不定方程的特解(在dom数域内) FindInstance[expr,vars,dom,n]求不定方程的n个特解 Eliminate[eqns, vars]把方程组eqns中变量vars约去 SolveAlways[eqns, vars]给出等式成立的所有参数满足的条件 ...
Here w pick a large enough modulus, we find the primitive roots, and keep only primitive roots that will produce unique chord trail plots: 1 2 3 4 5 6 7 8 9 n = 509; rs = PrimitiveRootList[n]; Length[rs] urs = Select[rs, # <= ModularInverse[#, n] &]; urs // Length (...
. it is well known that the real roots \(\delta _{l+}^{re}\) are exactly the dimension vectors of the exceptional representations in \(rep_{{\mathbb {k}}}(k(l))\) and for the imaginary roots \(\delta _{l+}^{im}\) we have formula (74) in [ 18 ]. from ( 72 ) and ...
or to find roots of a transcendental equation that we could not even attempt before without pre-specifying bounds on their values:Another “old” piece of functionality with recent enhancement concerns mathematical functions. Ever since Version 1.0 we’ve set up mathematical functions ...
Find the bar sizes from the extracted components Rescale to match real data Check the absolute and relative errors between derived total number of casualties and the published one Crop image Here we take “the bars only” part of the image: imgCasualtiesPerWeek2 = ImageTake[imgCasualtiesPerWeek...
It was the encounter with this misunderstanding by students that led to the new Presentations primitive ComplexCurve to represent a curve in the complex plane parameterized by a real variable. The Presentations routines find the image of such a curve in the same way as for the lines in a gr...
c Springer-Verlag Berlin Heidelberg 2004 Symbolic Polynomial Interpolation Using Mathematica 2 Polynomial Interpolation 365 Let xo, x1, ..., xn be a set of n + 1 distinct real or complex numbers on [a, b], and let yo, y1, ..., yn be associated function values. Then the polynomial p...
Negative numbers have no square roots in the real number system. In elementary algebra the number system used is the set of real numbers, hence we say does not exist, or has no solution. In a more advanced study of algebra a set of numbers called the complex numbers will be introduced ...