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gateguru

**USE THE SCROLL WHEEL ON YOUR MOUSE LIBERALLY TO VIEW THIS SITE.....**

*[The P=NP problem, NP-completeness, intractabililty and perhaps the whole of Computational Complexity has been deleted from the GATE syllabus. The present study is purely a hobbyist study and has yielded unexpected, iteresting results.]*

**Note:**-*The present page prepared on Dec 31,2016 is dated. Today it is MAY DAY, 2017. Over the last 116 days we have the discovery of Lumpy's function which is a close analog and simulation of the Riemann zeta function and uses only real numbers. The zeroes of the Lumpy function can be related to points on RE(1/2) of the complex plane and a subset of them closely correspond to all the zeroes fo the Riemann zeta function. Rabbit is presently on the job trying to ger a deterministic polynomial time algorithm for integer factorisation using the Lumpy function along with the Piglet Transform on a Piglet Computer.*

*So it turns out that integer factorisation, discrete logarithm, elliptic curve discrete logarithm, the P=NP problem and may combinatorial problems have deterministic polynomial time complexity algorithm on the good 'ole RASP. So all current online and network cryptography is having a sword of Damocles hanging above it with the strand of hair being the 'invalidity' of the Riemann Hypothesis and this seems to be a pipe dream. *

*Though they cannnt resolve the problem Pooh and his friends are able to give a simple explanation of the zeroes of the Riemann zeta function and the Riemann Hyposthesis using the Piglet Trnsform and Lumpy's function. It is for the public good that the Piglet Transform and Lumpy's function cannot be made generally public at the present point of time but can be made available to respectable organisations.*

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**VENUE OF THE NOCTURNAL ACTIVITIES OF POOH AND HIS FRIENDS -(2007-1017)**

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THE ROO-POOH-TIGGER STUDIES

UNLIMTED LOSSLESS DATA COMPRESSION

USE THE ROO NUMBER SYSTEM

Roo improves on the succinct representation of an integer superior to that of the Arabic positional notation by using the ideas fo the great child prodigy Galois that one should consider the importance of permutations.

"We should consider lineups of the Beagle Boys rather than treating the Beagle Boys as individuals in a lineup of the Beagle Boys"!

To obtain the Arabic positional number system representation of an integer from the Roo Number System representation is a NP-complete problem. This can be tackled in polynomial time using Euler's eutectic point of mathematics as shown by owl. An Arithmetic variant of the Fourier trasform is obtained and applied using the Lumpy function which is a variant of the Riemann zeta function.

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*THE EXPONENTIAL*

THE FOUNDATIONS REVISITED

[Pooh and his friends go back a couple of centuries in time to get a solution to a current day problem]

**POOH'S DISCOURSE ON INTRACTABILITY AND THE RIEMANN HYPOTHESIS**