segunda-feira, 13 de janeiro de 2014


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

The numbers are divided roughly into positive , negative , the worthless [ zero ] , the cousins ​​, the value of [ one] in functions 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 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 até x/log x] / [c/t] [+]
 [[Fg2 [x / log x [+- / .} [R] n...] . [py até 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 which may ococrrer an infinitesimal phenomena, including variations of movements and curves, and quantum flows radiation accelerations angles of latitude and longitude 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].

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