associative Hadamard algebra

[AntonioLao]

After the death of J. J. Sylvester (1814-1897), self-proclaimed inventor of mathematical ideas and terms, he coined terms such as “matrix” and “discriminant”, his terminologies live on. In the theory of equations, he finally proved a method for determining maximum number of positive and negative real roots therefore the least possible number of imaginary roots. Considering geometry versus analysis, he thought geometry must take precedence: “as a servant goes before the master to clear the path and light him on his way.” He founded the 1st mathematical journal in the U.S.A. named American Journal of Mathematics in 1878 at the time a professor of John Hopkins University in Baltimore, Maryland. For more than 50 years, he worked on the theory of determinants where one of his major accomplishments was the dialytic method for eliminating x in simultaneous solutions of higher degrees polynomials. Nevertheless, his most lasting contribution was in the theory of algebraic invariants related to algebraic geometry. However, later authoritative derision made by D. Hilbert (1862-1943) created effects for the decline or even closure of interest even though the search for geometric and physical invariants remains important to these days for final unification of quantum mechanics and general relativity.

The modern extension of invariant theory became a major part of abstract algebra of hypercomplex numbers, for examples: vectors, tensors, quaternions, spinors, and twistors. However, all these subsumed the inclusion of imaginary unity. On the other hand, an extension stemming from the abstract algebra of ring gives a particular kind of associative (friendly) Hadamard algebras which can be made to operate only on real rational matrices.

[mkirkpatrick]

Sounds a tad complex Antonio,how can we reduce this complexity to enable us to unlock
the cold fusion sequence?



regards michael

[AntonioLao]

how can we reduce this complexity

By emptying the mind of all unnecessary complicated thoughts and relying only on the exact premises of mathematical logic and by repeated practice becoming second nature to every thought process.

[mkirkpatrick]

By emptying the mind of all unnecessary complicated thoughts and relying only on the exact premises of mathematical logic and by repeated practice becoming second nature to every thought process.

Thats just what I was thinking!!



regards michael.

[AntonioLao]

Thats just what I was thinking!!

then yours is more acute than mine. I normally filled my mind with unnecessary complicated thoughts then I use equations to get rid of them frequently writing these equations over and over again until I'm convinced.

[mkirkpatrick]

then yours is more acute than mine. I normally filled my mind with unnecessary complicated thoughts then I use equations to get rid of them frequently writing these equations over and over again until I'm convinced.

I tend to post on this forum until my brain shuts own!



regards michael.

[AntonioLao]

to post on this forum until my brain shuts own

That would explain your dedication and devotion and with the most posts. In my case, if time permits doing two part time jobs and double commuting time.

[mkirkpatrick]

That would explain your dedication and devotion and with the most posts. In my case, if time permits doing two part time jobs and double commuting time.

You are a busy man,me I am about to retire and move to Turkey,where my hardest job
will be making sure the suncream is evenly spread!



regards michael.

[AntonioLao]

making sure the suncream is evenly spread

That's why you need to stay indoor and work on some theorems related to friendly Hadamard algebra. Prolong association would extend your life expectancy and sharpen your infinite consciousness.

[mkirkpatrick]

That's why you need to stay indoor and work on some theorems related to friendly Hadamard algebra. Prolong association would extend your life expectancy and sharpen your infinite consciousness.

Point taken my friend,I will balance this so that I can access my laptop between swims
and on cloudy days!


regards michael.