超球面模型(MDSM)的探索与应用分享 http://blog.sciencenet.cn/u/TUGJAYZHAB 用多元向量表示系统状态,多元向量乘法群描述系统的运动,白-杰时间链连接历史和现实: Y(i,k+1)=[Y(i,k)*T(i,k)+D(i,k+1)]/2。

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【向量代数】(终结篇11)
2017-11-8 23:40
The Th -Market Matrices make a Group of multiplication. We can do lots of calculation (basic arithmetic) on diagonal matrices just like we do on real numbers.
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【向量代数】(终结篇10)
2017-11-8 00:31
The stocks are not for free, so they all non-zero, positive number, Their reciprocals make the inverse of Th -MarketMat. Th -Market Mat can be R-multiplied and L-multiplied, and the product is another 17-vector. It means that the multiplication is close; Has inverse, ...
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【向量代数】(终结篇09)
2017-11-8 00:28
If the diagonal elements of the Th -matrix are replaced by non-zero real numbers, then it becomes a normal diagonal matrix and a normal diagonal matrix is a Multiplicative Group. Then the Th -matrix has some practical applications. For example, if we replaced the diagonal ...
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【向量代数】(终结篇08)
2017-11-8 00:22
Th -Matrix is the Identity Matrix, which is a matrix of multiplicative identity, and has a few special properties: 1) It can be multiplied by the left or right by a same dimensional matrix, but remains the same: I*A = A*I = A 2) If the product of two matrices A and B is an Identity Ma ...
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【向量代数】(终结篇07)
2017-11-8 00:15
Since the seventeen ’s=1 are mutually perpendicular to each other in 17-space, they form a 17*17 Diagonal Matrix. We named it Theodorus-Matrix, or Th -Matrix.The diagonal elements of this 17*17 Th -Matrix are equal to 1, and the non-diagonal elements are zeros: ...
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【向量代数】(终结篇06)
2017-11-8 00:11
Next topic, Diagonal Matrix Now,the sequential 17 ones (unit vectors) that are orthogonal to each other, can be expressed as a Matrix
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【向量代数】(终结篇03)
2017-11-7 23:24
Lets start with a 2500 year old Theodorus Spiral
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