My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 25th, 2016, 09:19 AM   #51
Banned Camp
 
Joined: Dec 2012

Posts: 1,028
Thanks: 24

Quote:
Originally Posted by complicatemodulus View Post
... that has higher and higher "medium roof" due to the littlest terms that becomes littlest and littlest once you rise K..o
Sorry the "roof" of our gnomons bars, becomes lower and lower rising K,

So it means we are able to cover a littlest and littlest area rising K...

While in the reality (so with FLT equation false) is true the vice-versa,

We are sure of that because we can prove that for $\displaystyle K\to\infty$ we fullfit the area bellow the derivate from B to C, (also) with C irrationals....

Is for that reason I show the rational integration and the integration process via limit of the reational integration ... just to remember the good way.

Than I use another result coming from FLT (supposed true) as reductio as absurdum...

It hope it wll work...
complicatemodulus is offline  
 
March 29th, 2016, 04:46 AM   #52
Banned Camp
 
Joined: Dec 2012

Posts: 1,028
Thanks: 24

...again in a round circle.... my fault !
complicatemodulus is offline  
April 6th, 2016, 10:08 PM   #53
Banned Camp
 
Joined: Dec 2012

Posts: 1,028
Thanks: 24

I hope all this helps you to think about what we are doing "squaring" the derivate with the finite sum of gnomons.

FLT conditions imply a "geometric" condition on the derivate I hope will give us the solution:

If $C-B$ is an integer, (on the example n=3) it means that the medium height of the derivate y'=3x^2 between B and C is an integer too since the area bellow the derivate is (must be) A^3 I remember we keep as integer.

If this height it's an integer, due to the fact that each gnomon's roof already "cut" the curve exactly in a way that it (the gnomon's roof) is the medium eight....

That means (since B-C is and Odd number) that the missing area of the sum of the gnomons on the left of our "central" reference gnomon, must be equal to the right area in excess given by the area of the sum of the gnomons on the right side of our "central" gnomon.

But this can clearly happen JUST if the curve is a line... while if it is a curve the right area in excess is always bigger than the left one...

I hope it will work in math to...


Thanks
Ciao
Stefano

Last edited by complicatemodulus; April 6th, 2016 at 10:26 PM.
complicatemodulus is offline  
April 6th, 2016, 10:51 PM   #54
Banned Camp
 
Joined: Dec 2012

Posts: 1,028
Thanks: 24

Remembering to draw all on the X-Y plane,

In a n=3 example, to understand where on X a "generic" Gnomon's roof is equal to the height of the derivate y'=3x^2, (I call this point $X_{CG}$) solve where it's true:

$\displaystyle \int_{P-1}^{X_{CG}} (3x^2) dx = \int_{X_{CG}}^{P} (3x^2) dx $

with:

$\displaystyle 3P^2-3P+1 = \int_{P-1}^{P} (3x^2) dx $

Since on the known derivate of y=x^n with n>2 curves, $X_CG$ it's a....
complicatemodulus is offline  
Reply

  My Math Forum > College Math Forum > Number Theory

Tags
correct, end, flt, story



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
So here is my story V3Slayer New Users 1 February 11th, 2016 03:09 PM
Revise my story kingkos New Users 0 January 23rd, 2013 01:10 PM
Story problem Please HELP! sophieT66 Algebra 1 October 26th, 2010 01:26 PM
Pick the correct number from the correct group balste Advanced Statistics 2 September 3rd, 2009 11:20 AM
Story problem Please HELP! sophieT66 Number Theory 0 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.