domingo, 19 de janeiro de 2014


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.



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 . Being that we will always 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 chart and coordinates.
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.
 = the angle of each point and connect both the acceleration and rotation .




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...] / [c/t] + [[Fg4 [x / log x n...] / [c/t] + + fgaâfo [cc] n...  . [far] + + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t] .





Where x can be a point , a particle, a straight , a link , an interaction, a concave or convex curve , one radian degree , a POI, an extension , an oscillation , one flow structure density of a transformation, a as in chemical processing and isotopes decays , etc. .

And that when divided by him even log nth times have sequences retained numbers, not repeated or increasing sequences .



Universal infinitesimal calculus and Graceli .

Universal function Graceli . [ infinitesimals within infinitesimals , and variations on variations ] .

Author : Luiz Ancelmo graceli .

[ [ Fg1 [ x / log x ... n ] / [ c / t ] n ...

This logarithm function we have the series of numbers repeated [ 0,33 and others] , and the series of progressive sequences [ 1,2,3,4,5,6,7,8,9 and others] .


The universal Graceli function is not measured from the Cartesian graph , but in relation to dimensions of latitude , longitude , height , flow and vibration of his own body in motion , rotational acceleration, and translation relative to the east, west, north and south, and other dimensions. Ie is n -dimensional . What about the speed of light by the time [ c / t ]

And having as parameter divided by the size of the smallest dimensions own level [ ... n ] log , so we have an infinitesimal mathematical universe , and without reference to Cartesian graph .

With this we have not only a function with respect to [ x, y ] , but on many dimensions and in relation to physical and astronomical references .

With this we have to measure the quantum universe , transquímico [ and isotopes decays and other phenomena ] , structures and shapes , densities and intensities both the macro and micro level as the smallest level .

And it has the function not only geometrical , but also the transformation function and structures and even evolutionary potential , and statistical and quantum uncertainty .


One of the key points of this system is that the result will not be the limit to 0 [ zero ] , but will always be between 0 and 1 [ zero -one] , ie , it will always be an infinitesimal . For it will always be a statistical and uncertainty as in physics and quantum phenomena of infinite variations .

Even a point or particle it will always be to be divided infinitely . Or even infinite relationships between parties and movements and accelerations kinking .

We see that the system of graceli function is not the limit , and not the tangent line , but within the infinitesimal infinitesimal , or the end result will never be found . And where there are processes in relation to the tangent line , but in relation to many variables involving a movement , deformation , structures , transformations and evolutions , revolutions and flows in a single function.


We will never have an end result , but always infinitesimal and always between two numbers . For, in this case the functions Graceli is not the end result , but intervals between results , and intermediate results in multiple scales and sequences series .

Universal function Graceli .

In general function measuring all variables and an infinitesimal ococrrer phenomena which can even movements and variations in curves, quantum flow and radiation angle accelerations , latitudes and longitudes and heights , shapes , densities , and structures intensities , disintegration and integration , links and endless interconnections , isotopes and radioactive decay , and various other phenomena , as well as statistics and uncertainties , relativism in relation to references, and variable arrays . And geometric variables , structures , phenomena and transformations .

In this case the variables are not related to time but with respect to the speed of light in relation to time [c / t].





[[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] .






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