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] .
Graceli is not in infinitesimal curves in relation to time.
But endless tiny or no variations in other variations , and these infinitesimal variations from the shapes of flows in the plans , the concave and convex in heels and rotations , and links entanglement and how we cohesions , delays oscillation and vibration , and internal flows . And other phenomena .
And relates the world of statistics , uncertainties , oscillatory matrices and infinitesimal and changing geometries in a single system .
So we have several variables in one function. Or even variables on variables .
And it approaches the quantum .
And if the function is carried out with exponent result we have between infinitesimal less than 1 and greater than 0.
And if it is raised to the exponent 0 , we have the result to equal 1 .
And relates to observers , or becomes relativistic and uncertainty of forms and variations.
One of the key points of the infinitesimal system is graceli that are not derived with respect to time .
However , it can be . But overall is in relation to algebraic , geometrical , or even in relation to space , or even for algebraic functions as infinitesimal compared to x / log x [ n ... ] .
Graceli function to infinitesimal infinitesimal .
Author : Luiz Ancelmo graceli .
It is the method of infinitesimal variations on infinitesimal changes .
Ie , can be fully differential , or a set of variations that occur in one time and space. As variations in ocean waves that burst in the sand .
But it may be infinitesimal infinitesimal within . [ infinitesimal infinitesimal ] .
How tiny tiny variations within variations .
[[Fg1 [âa / log âa n...] + [[Fg2 [âa / log âa n...] + [[Fg3 [âa / log âa n...] + [[Fg4 [âa / log âa n...] + fgaâfo [cc] n... . [far] + + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t]
+ [[Fg1 [âa / log âa n...] + [[Fg2 [âa / log âa n...] + [[Fg3 [âa / log âa n...] + [[Fg4 [âa / log âa n...] + fgaâfo [cc] n... . [far] + + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t].
Here the sums of series and sequences Graceli infinitesimal .
Imagine a glowing sphere that has infinite electrons with intense vibration and oscillation of vibration and vibration flows , and within each other vibration happens less and less intense in proportion.
What we have in this example is integral differential - the set of variations on a whole block variation.
And each electron with variations within variations , or infinitesimal infinitesimal .
[ cc ] = Concave and convex .
Fgâa = Graceli of angles and accelerations of varying flows function.
Packet flow of gravitational waves .
The gravity flow processes in discontinuous waves, as packets with higher and lower intensities . For that the curved space is not continuous , and not repeated, so that whenever the curvature is measured around superstars values are always different . Being waves of varying intensities and tiny streams and never repeat themselves .
Gamma radiation and x rays also propagate in the form of waves and flows as packets of energy with higher and lower reaches sizes and intensities .
Graceli theory of the universe floating waves. Curves waves floating like ripples in the tide .
Ie , we have fixed a curved universe , but ripples of waves that fluctuate , so that whenever it is measured curvature will always be different .
Floating Geometry Graceli .
[[Fg1âa + fg2âa +fg3âa +fg4âa ] n... + fgaâfo [cc] n... . [far] + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t]
+ n... [ [[Fg1âa + fg2âa +fg3âa +fg4âa ] n... + fgaâfo [cc] n... . [far] + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t]].
[ cc ] = Concave and convex .
Fgâa = Graceli of angles and accelerations of varying flows function.
Synchronous flows between quantum theory and quantum entanglement and quantum radiation and oscillation. And quantum bond between particles.
Theory and synchronic effect of progressivity Graceli .
There is a synchronic between intensity , quantity and scope, and the action of internal and external interactions of quantum flows , radiation, and interconnections between particles and their entanglements .
However , the timing does not follow in the same proportionality , which increases as the intensity of the internal physical and quantum processes by external effects have a larger progressive growth of radiation than the internal quantum flows .
Thus we have a sync related to natural processes of growth equivalent .
And we have a progressive Graceli effect relating to external actions on particles , metals , or even systems dilation.
This variation in timing and progressive Graceli also have the effect of expansion, the particle oscillations and vibrations , which is more visible in plasmas.
The internal entanglement also involves synchrony and Graceli progressivity effect.
Mathematical model Graceli .
Integral Graceli differential function .
It is one function that is both an integral of a set of physical processes , but each physical process has its own role for its functionality .
This we see in the radiation , and the expansion and vibration in the same oscillations of electrons , or even inflating balls and fade continuously .
Where we have the notion of the set of balls in processes and positions , but we also have the notion that each ball has every time their mathematical values according to their physical variations , shapes and placements .
[[Fg1âa + fg2âa +fg3âa +fg4âa ] n... + fgaâfo [cc] n... . [far] + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t]
+ n... [ [[Fg1âa + fg2âa +fg3âa +fg4âa ] n... + fgaâfo [cc] n... . [far] + fgie+ + fgei + fgr + fgmf + fgfccâe] n.... / [c /t]].
[ cc ] = Concave and convex .
Fgâa = Graceli of angles and accelerations of varying flows function.
General mathematical function Graceli involving matrices , differential and integral calculus , geometry [ flat , curved , and discontinuous Graceli and oscillatory vibrations ] , and statistical and mathematical uncertainties .
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