Algorithm weight matrixes accurately express the complex non-linear relationships of lattice parameters of the two phases with temperatures and phase compositions are obtained based on the back-propagation neural network modeling on the practical values of temperature, phase composition and lattice parameter in various superalloys.

The module has functions of creating weight matrix,global spatial autocorrelation analysis and local spatial autocorrelation analysis,and can be plugged into ArcGIS applications.

In light of the analysis of the algorithm of up-triangle matrix’s inverse,a two-dimension systolic array structure for ASIC implementation is introduced.

This paper introduces an improved parallel structure for FPGA realization due to studying the algorithm of the up-triangle matrix s inverse.

This papar proposes mathematicalmodel of automatic parting text meaning paragraph with computer,calculates word frequency of the text with computer,builds triangular matrix ofreused word frequency,gives restricted condition of generated meaning paragraph.

In this paper, the storage mapping of triangular matrix is discussed.

Let T n(F) be the n×n upper triangular matrix algebra over F.

Maps on 2×2 upper triangular matrix algebras preserving tripotence;

Additive maps preserving the lattices of invariant subspaces on upper triangular matrix algebras

According to the sum of Sm(n) being a proposition of natural numbers,we study the recurrence formula of the sum of Sk(n)by S0(n),S1(n),…,Sk-1(n),and find an upper triangular matrix with combinations as its elements to express the recurrence formula.