s u p e r  s y m m e t r y  o f   f l y i n g   c a r s

By Henryk Szubinski..

 

data reassigned to function by rates of data a.i adaptations imply the precise locations of displace parameters that have the data on 

o.b.a.f.g.k.m type stars

as the process to indicate a posion input as green = f type and their exit point as

yellow = G type stars and the processings of those points being the designated as the vecor connectives on a process of linkage where the interval types and coulours are defined as internal data of the gravity force basis or any value appended to it on a search for larger grade discrepancy of where the processess would branch outwards or inwards..

Based on high

rate process of

subtractions as

the similar value

of remaining

processess in a

3x angle

connect of every

variable data angle

action / reaction by

 

3y data on

the end functions

of universal Number

values in a

1. (B + 3x ) f = 3 y ( B + angle )

as responsive to any data

as example ; a flying car that

balances and rebalances in

a 1 basis subtraction = gravity lift control.

FUNCTIONS ARE;

 

One simple intuitive definition, for functions on numbers, states:

• A function is given by an arithmetic expression describing how one number depends on another.

An example of such a function is y = 5x−20x³+16x⁵, where the value of y depends on the value of x. This is entirely satisfactory for parts of elementary mathematics, but is too clumsy and restrictive for more advanced areas. For example, the cosine function used in trigonometry cannot be written in this way; the best we can do is an infinite series,

• A function ƒ from a set X to a set Y associates to each element x in X an element y = ƒ(x) in Y.

Note that X and Y need not be different sets; it is possible to have a function from a set to itself. Although it is possible to interpret the term “associates” in this definition with a concrete rule for the association, it is essential to move beyond that restriction. For example, we can sometimes prove that a function with certain properties exists, yet not be able to give any explicit rule for the association. In fact, in some cases it is impossible to give an explicit rule producing a specific y for each x, even though such a function exists. In the context of functions defined on arbitrary sets, it is not even clear how the phrase “explicit rule” should be interpreted.

• A function from X to Y is a single-valued, total relation between X and Y.^[1]

The image of F, and of ƒ, is the set of all second elements of F; it is often denoted by im ƒ. The domain of F is the set of all first elements of F; it is often denoted by dom ƒ. There are two common definitions for the domain of ƒ: some authors define it as the domain of F, while others define it as the source of F.

The target Y of ƒ is also called the codomain of ƒ, denoted by cod ƒ. The range of ƒ may refer to either the image of ƒ or the codomain ƒ, depending on the author, and is often denoted rng ƒ. The notation ƒ:X→Y indicates that ƒ is a function with domain X and codomain Y.

Incidentally, the ordered pairs and triples we have used are not distinct from sets; we can easily represent them within set theory. For example, we can use {{x},{x,y}} for the pair (x,y). Then for a triple (x,y,z) we can use the pair ((x,y),z). An important construction is the Cartesian product of sets X and Y, denoted by X×Y, which is the set of all possible ordered pairs (x,y) with x∈X and y∈Y. We can also construct the set of all possible functions from set X to set Y, which we denote by either [X→Y] or Y^X.

We now have tremendous flexibility. By using pairs for X we can treat, say, subtraction of integers as a function, sub:Z×Z→Z. By using pairs for Y we can draw a planar curve using a function, crv:R→R×R. On the unit interval, I, we can have a function defined to be one at rational numbers and zero otherwise, rat:I→2. By using functions for X we can consider a definite integral over the unit interval to be a function, int:[I→R]→R.

Yet we still are not satisfied. We may want even more generality in some cases, like a ‘function’ whose integral is a step function; thus we define so-called generalized functions. We may want less generality, like a function we can always actually use to get a definite answer; thus we define primitive recursive functions and then limit ourselves to those we can prove are effectively computable. Or we may want to relate not just sets, but algebraic structures endowed with operations, or other mathematical structures; thus we define homomorphisms and other mappings.

 

action reactions are…

First law

There exists a set of inertial reference frames relative to which all particles with no net force acting on them will move without change in their velocity. This law is often simplified as “A body persists its state of rest or of uniform motion unless acted upon by an external unbalanced force.” Newton’s first law is often referred to as the law of inertia.

Second law

Observed from an inertial reference frame, the net force on a particle is equal to the time rate of change of its linear momentum: F = d(mv)/dt. This law is often stated as, “Force equals mass times acceleration (F = ma): the net force on an object is equal to the mass of the object multiplied by its acceleration.”

Third law

Whenever a particle A exerts a force on another particle B, B simultaneously exerts a force on A with the same magnitude in the opposite direction. The strong form of the law further postulates that these two forces act along the same line. This law is often simplified into the sentence, “To every action there is an equal and opposite reaction.”

In the given interpretation mass, acceleration, momentum, and (most importantly) force are assumed to be externally defined quantities. This is the most common, but not the only interpretation: one can consider the laws to be a definition of these quantities. Notice that the second law only holds when the observation is made from an inertial reference frame, and since an inertial reference frame is defined by the first law, asking a proof of the first law from the second law is a logical fallacy. At speeds approaching the speed of light the effects of special relativity must be taken into account.^[3]

with or are directly contrary to each other; or obliquely joined, when they are oblique, so as to produce a new motion compounded from the determination of both.

Using modern symbolic notation, Newton’s second law can be written as a vector differential equation:

where F is the force vector, m is the mass of the body, v is the velocity vector and t is time.

force. This equation does not hold in such cases. See open systems.

It should be noted that, as is consistent with the law of inertia, the time derivative of the momentum is non-zero when the momentum changes direction, even if there is no change in its magnitude. See time derivative.^[15]

By substitution using the definition of acceleration, this differential equation can be rewritten in a more familiar form

where

A verbal equivalent of this is “the acceleration of an object is proportional to the force applied, and inversely proportional to the mass of the object”. In general, at slow speeds (slow relative to the speed of light), the relationship between momentum and velocity is approximately linear. Nearly all speeds within the human experience fall within this category. At higher speeds, however, this approximation becomes increasingly inaccurate and the theory of special relativity must be applied.

by .

The words motive force were used by Newton to describe “impulse” and motion to where I is the impulse, Δp is the change in momentum, m is the mass, and Δv is the change in velocity.

The analysis of collisions and impacts uses the impulse concept.^[19]