sábado, 1 de fevereiro de 2014


Pure mathematics and volatile Graceli for oscillatory functions.

Graceli introduces the mathematical curves waves that change according to the position and acceleration time, or variables. And even become statistics and indeterminate.

For any function fx has:

fx + [mc + mr] / x + logx / x n ... + [G s1] + [* 0 * GS2] ... n * i / t or [c / t] =
fx + [mc + mr] / x + logx / x n ... + [Y s1 * 0] + [* YS2] ... n * i / t or [c / t] =

when Graceli pictures here for any function [fx], if it is portraying itself coordinates the movement of produce wavelike curves, areas and volumes and volatile [imagine a bag of water moving in a machine, like when you take blood], ie, that change according to the movements of the coordinates and rotational movement of the same.
And when it comes to curves of the functions do not always have perfect curves, but in places and times have perfect curves, and second after breaks.
That is, with the coordinates Graceli have curved shapes, areas, volumes, and others. That turn over space and time.

Where have dimples, differentiations, oscillatory, pulses, etc.. and serves to quantum statistical mechanics, relativity and uncertainty.

Importantly, the system of pure mathematics Graceli can be used both in the physical world, or in volatile and changing the variables and their reference coordinates of pure mathematics, becoming infinitesimal and relativistic.

Time is not physical time, but the mathematical time portraying the changes. And the space is not the physical space, but the space mathematical dimensions that change positions producing forms in relation to time and motion.

One of the great discoveries of Graceli are sequential infinitesimal numbers [x / lox], [logx / x], or infinitesimal sequential series.

Another discovery are the transcendental numbers
Logx / x n ... + [G s1] + [* 0 * GS2] ... n * i / t or [c / t] =
Logx / x n ... + [Y s1 * 0] + [* YS2] ... n * i / t or [c / t] =


Graceli relativistic coordinates.
Imagine a vehicle in a large spinning wheel on it and observers:

An observer in a vehicle which develops a straight line from center to edge.
And two other different points. But outside of the wheel. The point that the wheel goes in direction and meaning to it, it has a differential concave view [that varies with acceleration and time].
And another has a convex differential vision and the shape varies with the acceleration and time.
Ie, we have results from different coordinates for different observers.


Coordinate variables and n-dimensional Graceli.
Imagine a system of coordinates where the 0 point to the ends has a bend to one side following a fixed angle variation curve equal or variable angle, or waves that change according to time and the acceleration variable.
Since this bending may be coordinated at all.
With this system we have a coordinate variables. And that spatial coordinates Graceli are not two, but three. Where have the latitude, longitude and height.

Even with the coordinates which values ​​have stopped and the results are multipliable a 0 [zero], forming voids between the shapes being the same or multipliable by 1 [one], where the values ​​do not change, forming a system in that interval equal, ie repeating points and do not vary, thus have a system where bends occur in a straight movements with system holes.

With this coordinate system variables, and even relating to observers at distant points, which increases when an object approaches the observer, and decreases as it moves away from the observer b.
Or even a curve for an observer is concave and the other is convex.

The function fx is a curve as the acceleration of the movement of each coordinate. Coupled with the rotation of coordinates.
Fx + [mc + rc] = [a coordinated wave motion] + [rotation coordinate].

The Gaussian function for bell would become a variable function over time and with the acceleration of each coordinate.

That is, we no longer have the shape of a bell, nor the function of Fermat spiral one, becomes a variable manner.

Ie have variable functions with variable shapes.
With Graceli coordinates n-dimensional relativistic and opens a new era for pure mathematics and the new calculations, functions, shapes and geometries.
http://coordenadasgracelivariaveis.blogspot.com.br/


Graceli function for sequential and statistical curve.

Graceli function to variations of shapes and movements
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [G s1] + [* 0 * GS2] ... n * i / t or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [Y s1 * 0] + [* YS2] ... n * i / t or [c / t] =
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [K s1] + [* 0 * ks2] n ... * I / T or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [BS1 * 0] + [* BS2] n ... * I / t or [c / t] =
 
Where we have an infinitesimal statistical

Graceli theory for non-uniform particles, energies, thermal and radioactive waves, fields and actions. And quantum entanglement.

Ie, the nature does not follow an egalitarian uniformity at all points within particles, fields, thermal and radioactive waves, etc..

For infinitesimal curves in differential curves.

Graceli sequential function for all types of functions and curves.




 Graceli - theory transcending physical

Quantum theory, radioactive empty fields and shares loads and within particles, galactic voids and holes.
Where at certain times there is an intense action on these moments and disappears and reappears.
And between two spaces have a space in an energy intensive activity, and reappears in another following with intense activity space. That is, there space between two physical spaces.

Ie, a space transcends to the other without going through an intermediary.
AND FOLLOW THE FORMULA FOR DISAPPEARANCE AND reappearance.

This can be seen in the action of magnetic, weak and strong fields, and when we see the thermal radiation heat on asphalt and also in the deserts. Where we see a radiation above a certain distance.

However, we see that the holes within galaxies where we have holes and quantum energy gaps.

Where forms also form between particles in a particle with several major potential as radioactive uranium system have voids which are not certain particles through matter, but through holes and voids energy between energy.

E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [G s1] + [* 0 * GS2] ... n * i / t or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [Y s1 * 0] + [* YS2] ... n * i / t or [c / t] =
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [K s1] + [* 0 * ks2] n ... * I / T or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [BS1 * 0] + [* BS2] n ... * I / t or [c / t] =

 


Transmetria Graceli quantum statistics.
Graceli function transmetria for infinite variations with respect to time of endless water droplets when meeting with a rock.
A = a = t = d = f = [logx / x n ... / T + [[π. 2] + v / t]. No ...]. n ...
A = acceleration.
A = clearance or approach.
F = shapes.
T = transmetria [transmétrica transformation].
In this formula we have the derivation and integration, statistical and uncertainty about the number of sequence.
 And in relation to the speed of light by the time we have the quantum statistics of number sequence, and quantum uncertainty in the overall system. This is for radiation, variations of shapes and intensities and energies in particle systems, quantum entanglement, quantum radioactive waves, and other phenomena.

A = a = t = d = f = [logx / x n ... / T + [[π. 2] + v / t]. No ...]. n ... / [C / t].


.
Geometry Graceli statistical variation of forms and approaches, accelerations and distances.

Transmetria statistics.
Ie, the result being sought is not the accuracy, but within limits, sequences and series.

[Log x / / x n ... ] R / t = a / t = d and d / t = a / t = q / t = tg / T = feqedf / t. / [C / t] + Log x / x. [Π. 2]. tg. v / t. + [Log x / x / [c / t]. [... N]. =

for the first sequence to any other order. Hence the mathematical approximation, or phenomena that occur within a block of phenomena, within a distance, or between a time interval.

n ... = Sum of nth time.
Or n ... = Divide infinitely.

By this way we enter the quantum of the infinitesimal uncertainty.




Transmétrico Graceli calculation. And calculus infinitesimal quantum transmétrico Graceli.

Calculation Graceli for a full transformative geometry and differential and infinitesimal.
Transmetria Graceli. The geometric shapes that change and fall during movement.

Imagine waves hitting a rock. Where each drop every moment develops and forms very small distance as stone, and distances between them and vary over time, also where the amount varies over time.

Or a bag of water exploding on a solid body.
Or an explosion of dynamite.

[Log x / / ... x n] / I / t = a / t = d and d / t = a / t = q / t = tg / t = feqedf / t.

Impact / acceleration = density / distribution and time = distance / time = acceleration / time = volume / time = geometrizes processing / time = forms and quantities and distances of forms / by time /.

Regarding quantum radiation, or effect of photon packets have about ac / t.

[Log x / / x n ... ] R / t = a / t = d and d / t = a / t = q / t = tg / T = feqedf / t. / [C / t] + Log x / x. [Π. 2]. tg. v / t. + [Log x / x / t [... n].


A = height π pi,
Tg = geometric transformation.
V = Variation
T = time.
 Hence the integral of all parties in relation to the sum of all the geometric transformations in each infinitesimal time [+ ... n].

Ie we have the parts and all the parts in each infinitesimal time.

Transformations of particles in a particle accelerator or radiation quantum.
[Log x / / x n ... ] R / t = a / t = d and d / t = a / t = q / t = tg / T = feqedf / t. / [C / t] + Log x / x. [Π. 2]. tg. v / t. + [Log x / x / [c / t]. [... N].

n ... = Sum of nth time.
Or n ... = Divide infinitely.

By this way we enter the quantum of the infinitesimal uncertainty.



Calculation and geometry dynamic multiforme, transformative and uncertainties Graceli.
Imagine the waves against a rock, or radiation, where every moment we have different forms produced relative intensity by time, or c / t.
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [G s1] + [* 0 * GS2] ... n * i / t or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [Y s1 * 0] + [* YS2] ... n * i / t or [c / t] =
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [K s1] + [* 0 * ks2] n ... * I / T or [c / t] ==
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [BS1 * 0] + [* BS2] n ... * I / t or [c / t] =

Where i is an imaginary number of the result of the impact of waves on the rocks over time. Radiation or by the speed of light divided by time.
Thus the minimum distance between two points is unknown uncertainties of shapes and distances. That is, we multiforme in one moment given space.

Calculus and Geometry Graceli oscillatory dynamics and wave.
In up and down infinitésimo have a dynamic geometry oscillatory flows, pulses and waves.

The minimum distance between two points is a point followed by a blank or a negative value, or vice versa.
And that represneta disnamica and an oscillatory motion.

E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [G s1] + [* GS2 * 0] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [Y * s1 0] + [YS2 *] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [K s1] + [* ks2 * 0] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [BS1 * 0] + [* BS2] n ... =


Transcendental geometry and quantum variational Graceli to variations of particles and spheres.

E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [G s1] + [* GS2 * 0] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [Y * s1 0] + [YS2 *] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [K s1] + [* ks2 * 0] = n ...
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct] + logx / x n ... + [BS1 * 0] + [* BS2] n ... =

Imagine a system of positive values ​​followed by zero or negative values ​​in a series and then later reappears.
As an archer full of holes. As vibration oscillations of electrons when overheated as a geometric system peaks, lines, or concavities and convexities which are inserted one after the other at a fixed, variable or even dynamic system, or even infinitesimal as in the above formulas.
Ie, we have a Graceli transcendental geometry, where forms and values ​​change and shifting constantly, for form itself, or even in relation to time.

Ie, we have a changeable geometry, and shapes inside other shapes in infinitesimal process.

Calculation transcendental and quantum Graceli.

That is, the values ​​beyond a sequence to another.

The value x to the value g, and other values ​​and zero sequence.

Ie we have log x / x n ... exponential value that is distributed at a glance sequence to another sequence ge apex y.
Logx / x n ... + [G s1] + [* GS2 * 0] = n ...
Logx / x n ... + [Y * s1 0] + [YS2 *] = n ...

That is, a range of number sequence has a positive value, and another series of sequence is 0 [zero], or worthless.

This answers a calculation for quantum numbers that appear and disappear in the next sequence.
This supports another way for quantum computing and quantum uncertainty and quantum relativity.
And that may be the most high ranges of action or sequence without infinitesimal value.
Logx / x n ... + [G s1] + [* GS2 * 0] = n ...
Logx / x n ... + [Y * s1 0] + [YS2 *] = n ...
Logx / x n ... + [K s1] + [* ks2 * 0] = n ...
Logx / x n ... + [BS1 * 0] + [* BS2] = n ...
Thus successively.
And it can be used for instantaneous jumps of electrons.



Graceli forms for calculating quantum variables.


E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct]
For variations in geometric Graceli quantum particles such as oscillations, flows and pulses, or even wave a bag of gas.

Graceli variational periodic function from the periodic function.
E (t + 2kπ) = E (t)

An important property of the function E (t) is the frequency.
We say that a function is periodic with period T, when f (t + T) = f (t) for all t.
As the length of S1 is 2π, when t> 2π or t <-2π to describe an arc of length t, from the point (1,0), we need to take more than one turn over S1.

In particular, where k is an integer, the final ends of the arc length T = 2kπ always coincide with the point (1,0). This implies that, whatever the actual number teo integer k, we
E (t + 2kπ) = E (t)
and therefore e (t) is periodic function of period 2π. Of course, any other integer multiple of 2π is also a time for this function.

Graceli variational periodic function from the periodic function. For shapes, areas, angles, arcs, and dynamic and temporal variables.


E (t + 2kπ) = E (t) + [a2]. [V / T].
For spheres and incomplete bags waters, ie, with empty space where their shapes vary.
H = height.
V = variable
E (t + 2kπ) = E (t) + [a2]. [V / T] / [ct]
For variations in geometric Graceli quantum particles such as oscillations, flows and pulses, or even wave a bag of gas.

Ct = speed of light divided by time.

By this way it is possible to find areas, shapes, angles and variables to other forms in many dimensions.

For a system with curved ball and holes in the structure.
E (t + 2kπ) = E (t). [V p = d]
Change course and distance traveled in the periphery of a sphere. Taking into account variations in the structure of the sphere.
For a system of differential sides, as the example of the dog that runs toward the owner, while he also runs another distant parallel.
E (t + 2kπ) = E (t). [A / d = â]
Acceleration divided by distance = â

For a system change and acceleration.
E (t + 2kπ) = E (t). [V. The TC /] [+]

For a system in rotation and oscillation pulses.
E (t + 2kπ) = E (t). [R. the. p / [c / t].
Rotation, oscillation and wrists.

For a general system with all these variables.

E (t + 2kπ) = E (t). [P = v d] [+] E (t + 2kπ) = E (t). [A / d = â] [+] E (t + 2kπ) = E (t). [V. The TC /] [+] E (t + 2kπ) = E (t). [R. the. p / [c / t].

for an infinitesimal system variables.
E (t + 2kπ) = E (t). [P = v d] [/] E (t + 2kπ) = E (t). [A / d = â] [/] E (t + 2kπ) = E (t). [V. The TC /] [/] E (t + 2kπ) = E (t). [R. the. p / [c / t].


Function to variable angles, shapes, areas, arc. Pulses, waves, oscillations, for three-dimensional, quadrimensionais forms, and n-dimensional.

Example a triangle with three-dimensional shapes and forms volatile as a bag full of liquid that constantly changes forms.


Graceli relativistic quantum function.
Graceli function and general relativistic infinitesimal.
fGrg = [Fg 1] / [FG2] / [FG3] / [FG4] / [fgn ....] n ... =

{Fg1 [log x / x [+ - w]. D. N. .. + [[2 Fg [log y / y] [+-j]. d n ... + [[FG3 [log g / g] [-q +]. + D n ...
[[FG4 log w / w [+ h]. ... D n + [[Fgn ... log y / y [+ z]. ... d n} n ...

Where we have a variation in the other. So infinitely.

Imagine a FG1 acceleration, while another FG2 acceleration occurs in relation to acceleration FG1, FG3 and another occurs in relation to FG2, so infinitely. We have thus an infinitesimal variational system. And relativistic every stage of change that is. And with respect to infinitesimal becomes statistical and uncertainty.

Where it can be used in quantum physics such as the variation that each block of each particle radiation and developed at all times. Proportional to the degree and intensity of change. And that can be used in thermodynamic fluctuations in gas and vibrations of electrons. Or even in the cohesions and quantum entanglement. Or even the actions of loads within particles and even in the stars, galaxies and black holes system.


fGrg = [Fg 1] / [FG2] / [FG3] / [FG4] / [fgn ....] n ... =

{Fg1 [log x / x [+ - w]. D. N. .. [C / t] + [[2 Fg [log y / y] [+-j]. d n ... [C / t] + [[FG3 [log g / g] [-q +]. D [c / t] + n ...
[[FG4 log w / w [+ h]. D n ... [C / t] + [[Fgn ... log y / y [+ z]. ... d n} n ... [C / t].



Function and geometry relativistic Graceli.


Calculations for n-dimensional chart with latitude, longitude, height, and rotational movement. Etc.
With respect to x, y, a, r rotation.
And with variation in each dimension curve getting progressively each dimension.
X with exponential variation.
Y progressive variation.
As with logarithmic variation.
R varying over time or the speed of light.

And the sum of the variation of the graph and the function and variation of its movement.
Thus, each coordinate we own variations, which have variously as the sum of all variations of the coordinates, and the variations of the function itself. And where x or y is rotating. As always we will have a differential curve with different and variable angle at each point or interaction. For if while measuring the straight or curve the system itself is rotating, pulse, translation, displacement or even accelerating. An example can be given to the land in translation and rotation, and the hemispheres west and east sides of the planet.
This function always begun with an angle of the curve and end with a greater and as the acceleration of rotation and translation. That also may be included the action of inertia and centrifugal same dog off.

{Fg1 [log x / x [+ - w]. D. N. .. + [[2 Fg [log y / y] [+-j]. d n ... + [[FG3 [log g / g] [-q +]. + D n ...
[[FG4 log w / w [+ h]. ... D n + [[Fgn ... log y / y [+ z]. ... d n} n ...

D = Displacement and rotation chart and coordinates.

Relativistic Graceli function.
For a dog running towards owner on the side of a field.

Or even the movement of the earth with their rotation and translation. With this we have a system of dynamic and temporal and spatial n-coordinates.

Imagine three observers at different points. Who observe the dog going towards the owner while the owner runs the line side to the other extreme.

A dog close and on the side where the dog is. This observer will see the dog make a concave curve with angles and distance gradually decreases dog.

Imagine another close observer of the owner of the dog on the other side. The angle that the dog will develop and the distance between convex and with this second observer decreases progressively.

Imagine another observer at the tip of the side where the dog owner. The angle concave and begin a tangent point will neither concave nor convex, and then become a convex compared to the third observer.
Imagine a dog on a side of a field that leaves accelerating towards its owner at another side of the field that is also runs in line with the other side.
Imagine a person who comes out on acceleration in a rotating system. Always have angles that vary with acceleration.

And the distance between dog and owner will close the meeting owner and dog in a sequential infinitesimal Graceli.


And where  = the angle of each point and connect both the acceleration and rotation.

Fg1 [o1] logx / x [n ...] * d = c + â.
O1 = observer 1.
Aâ = acceleration and angle.
convex cd = more distance.

Fg2 [o2] logx / x [... n] / [*] d = c = â.
concave cd = more distance.

FG3 [o3] logx / x [n ...] / d = c = â.
cc = concave and convex.
 = angle.

In 3 of the observer system. The infinitesimal increases progressively in the encounter between dog and owner. That is, the closer the dog and owner and less distance between the two.

And the angle also decreases gradually. In a series of infinitesimal sequence. Both the angle of each point, and in general the bifurcation of the meeting.



Overall Graceli function. For diagrams, matrices, differential and integral, statistics and quantum statistics, geometry, and twisted or not, flows and pulses, etc.. for quantum interactions, entanglements, loads of action and its variations, quantum radiation beams of light isotopes and chemical disintegration and decay, etc..
{Fg1 [log x / x [+ - w]. D. c / t n ... + [[2 Fg [log y / y] [+-j]. d. c / t n ... + [[FG3 [log g / g] [-q +]. D. C / t + n ...
+ [[FG4 log p / p [H +]. D. C / t ... n + [[Fgn ... log y / y [+ z]. d. c / t} n ... n ...
C / T = speed of light divided by time.
We have endless variations in each sequence of each radiation.





Universal infinitesimal calculus for sequential Graceli flows, cycles, pulses and waves.
Author: Luiz Ancelmo Graceli.

{Fg1 [log x / x [+ - w] n ... + [[2 Fg [log y / y] [-j +] n ... + [[FG3 [log g / g] [-q +] n + ...
[[FG4 log w / w [+ h] n ... + [[Fgn ... log y / y [+ z]} n ...

First sequence X = 1 + [or other amount] + value of the sequence.
Second sequence X = - 1 [or other amount] + value of the sequence.
Thus, after a sequence alternating sequence. We found the concave and convex, the ascent and descent. And even the descent at a time, and fall into another time and place, with varied intensity range.

And the variable can be any other number, function, exponent. etc..

And being for other variables [y, g, p, a, ... n] we have an integrated and closed in every space, and even variations in all other dimensions. Such as time, speed, shapes, densities, structures, transformations, transformations and potential for upgrades, etc..

With this we have a system of pulses and flows and waves.
Variables such as concave and convex waves streams of pulses which alternate in each series sequence
For this function it is possible to find Graceli shapes, curves, angles, straight lines without using the current differential and integral calculus.

And also find many variables phenomena, structures, densities, transformations, etc.. in one function. As well as solving matrices, diagrams, statistics, geometry, physical and chemical phenomena, etc..

Therefore these functions are universal for its scope and purpose.

The objective of graceli and infinitesimal calculus sequential functions is that you can measure in n-dimensions, and many situations and conditions in one formula. As movements, curves, waves, streams and varying pulses, transformations, structures, swelling, swings, etc..

Graceli sequential infinitesimal calculus. And analytic function.

Author: Luiz Ancelmo Graceli.
A] [[Fg1log x / x ... n] =
B] [[Fg1log x / x]. . R. PP [real, or high potency and progressions numbers].
C] [[Fg1log x / x ... n] + [[Fg2log x / x ... n] + [[Fg3log x / x ... n] + [[Fg4log x / x ... n]. n ...
Where X can be any number or infinitesimal variable within variables.

D] [[Fg1log x / x]. R. PP + [[Fg log 2 y / y]. R. PP + [[FG3 log / g]. R. PP +
[[FG4 log p / p]. R. PP + [[Fgn ... log a / a]. R. PP n ...

For different variables. Ie we have a single function many variables [or size] with changes as each is in process and transformation, or change in position or shape.

By this way and function is more comprehensive and easier to find variables and modifications of the differential and integral calculus.


Analytical calculation Graceli.
A] Log x / x n ... with power y. g / 1 = 0 ................

B] log x / x +. [Power] [prog.] Y / g power k.0 = 0, ..............

C] K Power x y. g - [1] = 0

D] Log x / x n ... +. prog. * Power * x with i = 0 1

E] [1 -] [x / log x with power 0. x] = 0

F] [1 / [x * y power of progression from 2 to infinity]] n ...

G] [1 / [x * y power of progression of R * [log x / x n ... ]] N ...

H] [Log x / x] / [x power y. i] / = 1



Graceli theory of sequential and infinitesimal numbers less than 1 and greater than zero.

The numbers are usually divided into positive, negative, the worthless [zero], the cousins, the value of [one] on functions of exponent 0, and infinitesimal infinitesimal and sequential.
And it is the latter that graceli develops through its functions so you can have coverage in quantum physics, statistics, sequential, and uncertainty, or even infinitesimal intervals between series. In transformative and infinitesimal geometry, and even the oscillatory matrices variational values.

Graceli comprehensive theory of numbers - shapes, variations, transformations, structures, statistics. Infinitesimal.

The objective of graceli functions are approximate or even intervals between values ​​of infinitesimal sequences series results.

[[Fg1 [x / log x ... n] / [c / t] + [[Fg2 [x / log x ... n] / [c / t] + [[FG3 [x / log x n. ..] / [c / t] + [[FG4 [x / log x ... n] / [c / t] + + fgaâfo [cc] n ... . [Far] + + + + fgie fgei fgr + + + FGMF fgfccâe] n .... / [C / t]


+ N ... [[Fg1 [x / log x ... n] / [c / t] + [[Fg2 [x / log x ... n] / [c / t] + [[FG3 [x / log x n. ..] / [c / t] + [[FG4 [x / log x ... n] / [c / t] + + fgaâfo [cc] n ... . [Far] + + + + fgie fgei fgr + + + FGMF fgfccâe] n .... / [C / t].

However, if placed in terms of infinitesimal variations have sequential tangential curves with negligible variation.
Example.
[[Fg1 [x / log x ... n] / [c / t].

However, the case is not being attacked here, since the goal is the infinitesimal infinitesimal and sequential.

Where we do not have absolute final results, but always change by infinitesimal sequence in question to be found.

Ie, the result depends on the purpose to be found according to the type and number of infinitesimal sequence to be found.




Graceli function to growth and degrowth of bodies and particles.

Fg1 + FG2 = streams of pulses and progressive growth or snapshots and quantum.
[[Fg1 [x / log x [+ -. /} [R] ... n] / [py to x / log x] / [c / t] [+]
 [[Fg2 [x / log x [+ - /} [R] ... n].. [Py to x / log x] / [c / t] =
Divided by y power, or potential multiplied by y


Infinitesimal for sequential or non-sequential numbers, or sequential or interleaved series Graceli function.

[[Fg1 [x / log x [+ -. /} [R] ... n] / [c / t] =
More or less, division or multiplication of a real number, fractional or not. Where to find repetitive sequences or growing, or less non-sequential infinitesimal numbers.

Sequential and relativistic and infinitesimal uncertainty Graceli function. Or even statistics. That may have use in quantum, mechanics, thermodynamics, relativity and cosmology, and chemistry.

The Graceli functions do not deal with end results, but at intervals between zero and and least one more, just one has to know the sequence or repeated or sequential sequence enésimos of logarithms, or decimal number that is either the result of higher of 0, 1 and lower the tiniest infinitesimal n ... . Or even higher infinitesimal numbers 1. That is, the result is not zero, but always greater than 0 and less than 1. And because the end result and a range of numbers that can be logarithmic in any sequence, then we have a calculation function infinitesimal relativistic with various results.

Or even higher infinitesimal numbers 1.


And Graceli functions are not two-dimensional, but n-dimensional, and not just treat the external forms, but also the variations of the density, structure, degree of evolution, transformations, flows oscillating and unstable pulses during acceleration and expansion, etc..

Ie, does not form a Cartesian graph, but latitudes, longitudes, time, time, structures and densities, energy and dilation, pulse flows and flares and shortenings. And other dimensions. And it raised the [x / log x ... n] [x divided by x infinitely often log], and the speed of light divided by the time we have a tiny universe inside other universes smallest numbers. And variations within variations.

And we differentials in integrals, differentials and integrals inside, and have infinitesimal infinitesimal within.

Function universal infinitesimal Graceli.
[[Fg1 [x / log x ... n] / [c / t] + [[Fg2 [x / log x ... n] / [c / t] + [[FG3 [x / log x n. ..] / [c / t] + [[FG4 [x / log x ... n] / [c / t] + + fgaâfo [cc] n ... . [Far] + + + + fgie fgei fgr + + + FGMF fgfccâe] n .... / [C / t]


+ N ... [[Fg1 [x / log x ... n] / [c / t] + [[Fg2 [x / log x ... n] / [c / t] + [[FG3 [x / log x n. .

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