Re: A notation convenience for certain non-linear expressions

On Jun 1, 9:18 am, Mok-Kong Shen <mok-kong.s...@xxxxxxxxxxx> wrote:
Mok-Kong Shen wrote:

If f11(x) etc. are functions of x, one can namely e.g. use

| f11 f12 |   | x1 |
|         | * |    |
| f21 f22 |   | x2 |

to express the vector

| f11(x1) + f12(x2) |
|                   |
| f21(x1) + f22(x2) |

[Addendum] One could evidently, if desired, also adopt the convention
that in the vector above + be substituted by xor, while leaving the
functions unchanged. On the symbolic level, one could write/discuss
M1*M2, M^(-1), C = M * P, etc., as is familiar in linear algebra.

Addition by XOR is just addition over Z_2 if your matrix elements are
vectors of bits just do Z^w_2.

Instead of trying to invent new terminology, why not, oh I don't know,
learn what is already out there?

Given that you've floated around MKS for the last decade or so I would
have hoped that you ended up picking up even a modest amount of actual
knowledge...

Tom
.

Relevant Pages

  • Re: Dork Van de merde claims xor implies or.
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  • Re: uses of xor
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  • Re: A notation convenience for certain non-linear expressions
    ... that in the vector above + be substituted by xor, while leaving the ... On the symbolic level, one could write/discuss ...
    (sci.crypt)