Galois Theory - Roots of Polynomials

https://en.wikipedia.org/wiki/Galois_theory

"In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand.

Galois introduced the subject for studying roots of polynomials. This allowed him to characterize the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots—an equation is solvable by radicals if its roots may be expressed by a formula involving only integers, nth roots, and the four basic arithmetic operations. This widely generalizes the Abel–Ruffini theorem, which asserts that a general polynomial of degree at least five cannot be solved by radicals."

https://en.wikipedia.org/wiki/Galois_theory

https://en.wikipedia.org/wiki/Bijection

https://opensea.io/assets/matic/0x24A11e702CD90f034Ea44FaF1e180C0C654AC5d9/32033

Owned by Original Owner

0.08ETH ~= $100USD original price

4th Order Pimp Walk:

The Book - Paul Erdos -🥇📕

 

He had his own idiosyncratic vocabulary; although an agnostic atheist,[68][69] he spoke of "The Book", a visualization of a book in which God had written down the best and most elegant proofs for mathematical theorems.[70] Lecturing in 1985 he said, "You don't have to believe in God, but you should believe in The Book." He himself doubted the existence of God, whom he called the "Supreme Fascist" (SF).[71][72] He accused SF of hiding his socks and Hungarian passports, and of keeping the most elegant mathematical proofs to himself. When he saw a particularly beautiful mathematical proof he would exclaim, "This one's from The Book!" This later inspired a book titled Proofs from the Book.

from:

https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Personality

https://en.wikipedia.org/wiki/Generalized_hypergeometric_function 

"The Book"

moar later...

The Surfer, OM-IV

https://www.linkedin.com/feed/update/urn:li:activity:7017704130341208064/

Ω

Simultaneous Solutions, Coefficients (constants), and Math (Do the Math)

Moar later...   ...however, for now, do the math.

1. Derivation of equations - relationships
2. Boundary conditions
3. Coefficients - constants
4. Determination of COMPLETE SOLUTION

The solution to simple boundary condition problems is well documented. Applying the same technique to the simultaneous solution of the Bohr atom with the Schrödinger model for the atom, for a single hydrogen atom (at low/lowest energies these two models are equivalent):

The boundary conditions are set by environment, the nature of things, man, physics, science, the things one knows, constants, etc.

0K

Therefore, considering the set of equations mathematically, then once one fully describes the situation, if it is complete, even the constants can be determined.  Thus, as with the fundamental physics constants and the solution to this equation, which is the relationship of the constants condensed from all known, it is possible to solve for the constants. Especially if a few are held at a defined constant value as has been done with NIST/CODATA.

This should be self evident, however, rarely is it talked about in this way...

∴ I AM MR Proton, the man who solved science.

The Surfer, OM-IV

https://www.linkedin.com/feed/update/urn:li:activity:7017704130341208064/

Ω