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

Posted: May 25, 2013 2:04 PM

I was hoping I could replace the picketfence model by two pure
triangle model.

Remember the sawtooth function of F(x) = 0 for even numbered x and
F(x) = 10^603 for odd numbered x. Here we can do the integration, not
by summation of thin picketfences but rather by summation of two thin
pure triangles along the leftside and rightside of each point of the
function graph.
From that sawtooth function I was hoping to eliminate the rectangle
portion of the picketfence model, but I cannot. So that leaves me with
the-- having to prove that Calculus best model is the picketfence and
it is irreplaceable for the calculus.
Proof: I would use the identity function and obviously the picketfence
model gives the derivative of 1 and the integral of 1/2x^2, but, can
I get a derivative of 1 via 2 pure triangles? So far, no. If the only
way to get the derivative and integral of the identity function via
picketfence model, then it is irreplaceable.

--
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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