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Definitions Axioms

Definition # 1: A multivalued function, abbreviated as M-function, M = f (x) is a function with one or more points x, in which the M-function can take many different values ​​(vertical) or one repeated value (horizontal ). In exceptional cases, this multi-valued segment can be displayed at any angle. This can be seen in the following graphs between the break points of a normal function:
At an angle - https://goo.gl/PYTm5h
Horizontally https://goo.gl/CHE47v
Vertically (on a regular chart it is displayed as a gap, since mathematical packages do not yet operate with such a concept as the M function) - https://goo.gl/U7kzPC

Definition # 2: A continuous M-function is a function, as without “jumps”, that is, one in which small changes in the argument lead to small changes in the value of the function, and with “jumps” (verticals), as well as when any change in x does not change y (horizontal), that is, in this area y = const.

Axiom of continuity of the M-function: Any M-function M = f (x) is continuous for any real x in which it exists. Any transformations over the M-function lead to the creation of another continuous M-function. The validity of this axiom is connected with the definition of the M-function as a multi-valued one, since when divided by zero, the function becomes one.

Definition # 3: The white function is the M-function, represented by the M (x) = ArcSin (Cos (x)) / ArcCos (Abs (Sin (x))) dependence for any real x.
Further, perhaps simply W (x) = M (x), where W means short for white.
Also, white functions can be called any M-functions depending on the direct-inverse trigonometric functions ArcSin (Cos (x)) and ArcCos (Abs (Sin (x))), for example, such as
ArcSin [Cos [x]] - ArcCos [Abs [Sin [x]]],
(ArcSin [Cos [x]] + ArcCos [Abs [Sin [x]]] - x) / (ArcSin [Cos [x]] - ArcCos [Abs [Sin [x]]] - x)
and so on.
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Definition # 4: Energy (ancient Greek ἐνέργεια - action, activity, power, power) is a third-order physical quantity (essentially a vector), which is a single measure of various forms of motion and interaction of matter, a measure of the transition of movement of matter from some forms to others. The introduction of the concept of energy is convenient in that if the physical system is closed, then its energy is conserved in this system for the time during which the system is closed. This statement is called the law of conservation of energy. (modified definition from wikipedia)
It follows that any person and in general any living form of life is a combination of various forms of energy, which under certain conditions goes into another set of forms and types, only in a closed system does the total amount of energy of all types and forms remain. Since energy is a third-order value, there should be a maximum of 8 (8 = 2 ^ 3, where 2 is the absolute value of the length of the energy quantum, which can be clearly seen on this graph as a vertical break of two units) of the main types of energy and the corresponding im formulas. The first order of energy - the actual energy, the second order - the impulse, the third order - the moment, are the place of transition and transformation of one type of energy into another through the transformation of the form into one of 8 types. Our task is to find these formulas and determine the rules for converting these formulas to each other, keeping the system closed, which neither mathematics nor physics have achieved so far - there is no clear connection (even theoretically) between the three integrals of motion: energy, momentum, momentum.

The general energy formula is derived from the formula E = m * c * c using the white function -
Definition number 5: Quantum of positive energy:
(ArcSin [Cos [x]] ^ 5-x) / (ArcCos [Abs [Sin [y]]] ^ 2-y)
image

Definition # 6: Quantum of Positive Motion:
D [D [(ArcSin [Cos [x]] ^ 5-x) / (ArcCos [Abs [Sin [y]]] ^ 2-y), x], y]
image

Definition number 7: Quantum positive speed (animation):
f[x_, y_] := (ArcSin[Cos[x]]^5 - x)/(ArcCos[Abs[Sin[y]]]^2 - y); time[t_] := (ArcSin[Cos[t]]^5 - t)/(ArcCos[Abs[Sin[t]]]^2 - t); z = Table[ Plot3D[f[x, y]/time[move], {x, -Pi + 0.01, Pi - 0.01}, {y, -Pi + 0.01, Pi - 0.01}, PlotRange -> {-300, 300}], {move, -Pi + 0.01, Pi - 0.01, Pi/100}]; z = Join[z, Reverse[z]]; Export["C:\\out.gif", z, "AnimationRepetitions" -> Infinity] 

image
https://www.youtube.com/watch?v=KBMem7gW2UQ

Definition # 8: Quantum of positive acceleration (animation of standing wave formation), level 10:
 f[x_, y_] := (ArcSin[Cos[x]]^5 - x)/(ArcCos[Abs[Sin[y]]]^2 - y); time[t_] := (ArcSin[Cos[t]]^5 - t)/(ArcCos[Abs[Sin[t]]]^2 - t); level = 10; z = Table[Plot3D[ -f[x, y]/(level*time[move]^level), {x, -Pi + 0.01, Pi - 0.01}, {y, -Pi + 0.01, Pi - 0.01}, PlotRange -> {-1000, 1000}], {move, -Pi + 0.01, Pi - 0.01, Pi/100}]; z = Join[z, Reverse[z]]; Export["C:\\out.gif", z, "AnimationRepetitions" -> Infinity] 

image
https://www.youtube.com/watch?v=GydPS_LPMvw

https://www.youtube.com/watch?v=LUjmK7OnqGU

Source: https://habr.com/ru/post/343440/


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