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 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 .