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Topic: Maxwell Equations as axioms over all of physics and math #9 Textbook
2nd ed. : TRUE CALCULUS; without the phony limit concept

Replies: 6   Last Post: May 26, 2013 1:35 AM

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 plutonium.archimedes@gmail.com Posts: 18,572 Registered: 3/31/08
ready for the 3rd edition of Textbook : TRUE CALCULUS; without the
phony limit concept

Posted: May 26, 2013 1:03 AM

Alright, I am just about to start the 3rd edition but let me make
special notes of a few things.

In the box function of y = 3 the derivative is 0 and the integral is
Int = 3x and in this function we see the picketfences as rectangles
only with no triangle atop.
Now in the sawtooth function of F(x) = 0 for even numbered x and ?F(x)
= 10^603 for odd numbered x. We have no rectangle in the picketfence
but just pure triangles and the derivative dy/dx is 10^603/10^-603 =
10^1206 and the integral in the interval 0 to 10^603 is 0.5*10^1206.
Now the function y = 3 can be sawtooth also by this manipulation F(x)
= 0 for even numbers and F(x) = 3 for odd numbers, so that instead of
a flat line across y = 3, we have a sawtooth pattern. And the
derivative dy/dx is 3/10^-603 which is 3*10^603 and the integral in
the interval 0 to 10^603 is 1/2(3*10^603). So for the function y=3 its
area from 0 to 10^603 is 3*10^603 and a sawtooth pattern is 1/2 of
that area.

So in the 3rd edition I must realize that sometimes the function has
only a rectangle for integration, and sometimes only triangles, but
most often it has a combination of rectangle and triangle atop that is
a picketfence.

So what the Fundamental Theorem of Calculus concerns itself with is
why is Euclidean geometry the only geometry to have the Calculus and
that it turns all curves into straight lines for derivative and for
integral. So that when we graph the half-circle and find its
derivative and integral the circle curve at the 10^-603 is no longer a
curve but a tiny straight line segment. That is the essence of what
the Calculus does to the function, replaces its curves with straight
line segments. And that is why Euclidean geometry is the only one of
the three geometries to have a Calculus for we end up replacing the
curves of Elliptic and Hyperbolic geometry with straightline segments.

That is why the borderline of infinity cannot be a number smaller than
Floor-pi*10^603 because only there is a semicircle function able to be
a truncated regular polyhedra.

Alright, I am ready to do the 3rd edition.

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Archimedes Plutonium
http://www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies