UNACKNOWLEDGED.
THAT THE CENTER of the UNIVERSE is hidden by ILLEGAL SECRECY.
ABOUT the COMPARISON of UNIVERSAL SPACE
and the center of it as ZERO.
from Wikipedia
date 2018
April 27
time, 13:00
REAL VALUE FUNCTIONS
as SINGULAR FUNCTIONS.
In mathematics, a real-valued function f on the interval [a, b] is said to be singular if it has the following properties:
A standard example of a singular function is the Cantor function, which is sometimes called the devil's staircase (a term also used for singular functions in general). There are, however, other functions that have been given that name. One is defined in terms of the circle map.
If f(x) = 0 for all x ≤ a and f(x) = 1 for all x ≥ b, then the function can be taken to represent a cumulative distribution function for a random variable which is neither a discrete random variable (since the probability is zero for each point) nor an absolutely continuous random variable (since the probability density is zero everywhere it exists).
Singular functions occur, for instance, as sequences of spatially modulated phases or structures in solids and magnets, described in a prototypical fashion by the model of Frenkel and Kontorova and by the ANNNI model, as well as in some dynamical systems. Most famously, perhaps, they lie at the center of the fractional quantum Hall effect.
When referring to functions with a singularity[edit]When discussing mathematical analysis in general, or more specifically real analysis or complex analysis or differential equations, it is common for a function which contains a mathematical singularity to be referred to as a 'singular function'. This is especially true when referring to functions which diverge to infinity at a point or on a boundary. For example one might say, "1/xbecomes singular at the origin, so 1/x is a singular function."
Advanced techniques for working with functions that contain singularities have been developed in the subject called distributional or generalized function analysis. A weak derivative is defined that allows singular functions to be used in partial differential equations, etc.
THE CENTER of the UNIVERSE
by Henryk Szubinski
So when relating to the CENTER of the x and y as both =zero,
there are some ways to access this center computation by using the matter in place of the space,
so that the representations of ,force, energy, matter, heat and so on are related to the center as NOT = ZERO.
To define this access, the use of the whole circumference around the center point of the x and y are defined as
the total being = the singularity, so that any 1/x of the reference to the x axis and the y axis as 1/y are related to
the sectioning of the singularity to define more than the zero center.
These are the radius of the center contact with the singularity.
So that any 2 points on these 1/x and 1/y
must be = a and b.
as equal to 1/a and 1/b
as
the
1/a =1/x
and
1/b=1/y
These are the position on the SINGULARITY CIRCUMFERENCE.
So then, the x and y are the first quadrant, the y as the second quadrant and the a as the third quadrant and the b as the fourth quadrant.
So that the center has some meaning by using the rotation through it as:
1/x, 1/y, 1/a, 1/b
as
QUADRANTS:
1) 1/x
2) 1/y
3)1/a
4)1/b.
So now , any input of any centered functions of SPACE and MATTER interactions in the universe
with CENTERED FORCE or TEMPERATURE, or MATTER of the universe CENTER as it's begining
may be found together with the SPACE of the UNIVERSE and the BEGINNING of it as the UNIVERSE
wit the MATTER in it.
Steven Hawking's did not know that the NEED for the QUADRANTS was "ILLEGAL SECRECY", so he
set out to define the SINGULARITY without ,first , finding the HIDDEN FACTS of the QUADRANTS that
would have helped him work out the SINGULARITY EQUATIONS:
THAT THE CENTER of the UNIVERSE is hidden by ILLEGAL SECRECY.
ABOUT the COMPARISON of UNIVERSAL SPACE
and the center of it as ZERO.
from Wikipedia
date 2018
April 27
time, 13:00
REAL VALUE FUNCTIONS
as SINGULAR FUNCTIONS.
In mathematics, a real-valued function f on the interval [a, b] is said to be singular if it has the following properties:
- f is continuous on [a, b]. (**)
- there exists a set N of measure 0 such that for all x outside of N the derivative f ′(x) exists and is zero, that is, the derivative of f vanishes almost everywhere.
- f is non-constant on [a, b].
A standard example of a singular function is the Cantor function, which is sometimes called the devil's staircase (a term also used for singular functions in general). There are, however, other functions that have been given that name. One is defined in terms of the circle map.
If f(x) = 0 for all x ≤ a and f(x) = 1 for all x ≥ b, then the function can be taken to represent a cumulative distribution function for a random variable which is neither a discrete random variable (since the probability is zero for each point) nor an absolutely continuous random variable (since the probability density is zero everywhere it exists).
Singular functions occur, for instance, as sequences of spatially modulated phases or structures in solids and magnets, described in a prototypical fashion by the model of Frenkel and Kontorova and by the ANNNI model, as well as in some dynamical systems. Most famously, perhaps, they lie at the center of the fractional quantum Hall effect.
When referring to functions with a singularity[edit]When discussing mathematical analysis in general, or more specifically real analysis or complex analysis or differential equations, it is common for a function which contains a mathematical singularity to be referred to as a 'singular function'. This is especially true when referring to functions which diverge to infinity at a point or on a boundary. For example one might say, "1/xbecomes singular at the origin, so 1/x is a singular function."
Advanced techniques for working with functions that contain singularities have been developed in the subject called distributional or generalized function analysis. A weak derivative is defined that allows singular functions to be used in partial differential equations, etc.
THE CENTER of the UNIVERSE
by Henryk Szubinski
So when relating to the CENTER of the x and y as both =zero,
there are some ways to access this center computation by using the matter in place of the space,
so that the representations of ,force, energy, matter, heat and so on are related to the center as NOT = ZERO.
To define this access, the use of the whole circumference around the center point of the x and y are defined as
the total being = the singularity, so that any 1/x of the reference to the x axis and the y axis as 1/y are related to
the sectioning of the singularity to define more than the zero center.
These are the radius of the center contact with the singularity.
So that any 2 points on these 1/x and 1/y
must be = a and b.
as equal to 1/a and 1/b
as
the
1/a =1/x
and
1/b=1/y
These are the position on the SINGULARITY CIRCUMFERENCE.
So then, the x and y are the first quadrant, the y as the second quadrant and the a as the third quadrant and the b as the fourth quadrant.
So that the center has some meaning by using the rotation through it as:
1/x, 1/y, 1/a, 1/b
as
QUADRANTS:
1) 1/x
2) 1/y
3)1/a
4)1/b.
So now , any input of any centered functions of SPACE and MATTER interactions in the universe
with CENTERED FORCE or TEMPERATURE, or MATTER of the universe CENTER as it's begining
may be found together with the SPACE of the UNIVERSE and the BEGINNING of it as the UNIVERSE
wit the MATTER in it.
Steven Hawking's did not know that the NEED for the QUADRANTS was "ILLEGAL SECRECY", so he
set out to define the SINGULARITY without ,first , finding the HIDDEN FACTS of the QUADRANTS that
would have helped him work out the SINGULARITY EQUATIONS:
The UNIVERSE may now be CENTERED.
My equation to work out the center of the UNIVERSE
as replacing the zero results of the zero gain of the universes beginning and end.
by Henryk Szubinski
Inspired by FRENKEL and KORTOROVA.
as replacing the zero results of the zero gain of the universes beginning and end.
by Henryk Szubinski
Inspired by FRENKEL and KORTOROVA.
So that whatever there exists in the center of the universe, the fact that the opposite of zero (as previously thought), as infinite , that the thing will continue to exist in eternal time or by some eternal function of it ,so that to measure it's existence, the use of the center has to define it's function as continuing on wards.
Even as such , this continuum must define the larger volume of this thing in the center as giving some part of itself to the creation of the universe. Each piece must return by the laws of physics as return to it's state of rest from the state of the beginning and end as the sum= zero. So the opposite has to be infinite. At each stage of the center of the universe giving another piece of itself, another universe gets created and the time between these events must be opposite to more than just zero as in finite so that the opposite back to the source at the center must be =1 as in the physically measurable universe with the number of events as the multiple of some real number =1 x10 to the exp 100 as an example as what we know.
So the functions are related to:
zero opposite=infinite.
Infinite opposite = 1
opposite of 1= eternal as the amount of universe centered evolution of it's bits.