Algebraic analysis graceli.


 Algebraic calculation system with respect to physics, geometry, matrix, statistics, algebra, polynomials, and calculus.

And universal calculation, sequential, and transcendent.

The algebraic analysis graceli covers more than calculation.

And that does not use derivatives, but exponents, progressions and logarithms and roots.


System functions that produce functions.



         P [b] / [a] p P [n]
P [c]



First the operation [a], then the progress of the operation [b] for the result of [a]., After progression [Operation c] for the result of [AB].

If the exponent first solves for the progression of the progression, the progression after the division results of the progression of numbers with superscript after this result with the base of progression.



                







Algebraic progression graceli. It is a large increase other progression.


p P [n]


graceli progression.

It's a progression with function exponent.


        Log x / x [n] [+, -, /, *] pP.
   P


particles are not mass but interleaving of positive and negative charges forming a power interaction as bats, or are not spherical, but the form of rods. We see a network of interwoven lines forming a network system, and that this network is held together in particulate form through interactions of the load force.



Thus we have the matter at its essence as intertwined charge. Which has the provision does not particles, but bats, which form a spherical type when a higher dimensionality in diameter.





The graceli curve. with movements to latitude, longitude and height.


With a spiral x to the limit L, and then reverses for latitude goes to the L2 limit, then goes to the limit L3 then goes to the inversion threshold L4, ie have a direction limit curve reverses as you want.


R + pr / pP. L2 to L3 ,, then you, then to L4.



R + logx / x [n] to L2 ,, then you L3, L4 until later.



             p / p [n]
R + pr /  pP. L2 to L3 ,, then you, then to L4.



R + logx / x [n] to L2 / a ,, then you L3 / a, then to L4 / a.


A = acceleration p = progression.

R = radius ..

This way you can make the hat and snake graceli.



Log r / r [n] [*, /, -, +] p / Pp.




Magic function graceli.

The perfect formula. The most beautiful of algebraic functions. Where the result is always a sequence of equal and increasing numbers.

P = progression.

             P
1  /    3 =


1/3 = .3333333333333333
1/9 = 0.1111111111111111
1/27 = .037037037037037037
1/81 = .01234567891234
1/243 = 0.00411522633744855966


Where results are repeated sequences of numbers. Or alternate.