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Member Since 06 Dec 2012
Offline Last Active Today, 03:51 PM

Posts I've Made

In Topic: P versus NP solved!!!

Yesterday, 04:26 PM

it cannot be represented by a Boolean circuit which accepts at least some input if we use the definition which appears in the paper​.


Definition: A representation of a set S with n positive integers is a Boolean circuit C, such that C accepts the binary representation of a bit integer j if and only if j is in S.



The above circuit can accept the binary representation of a bit integer. If there is no number in the register then the value stored in memory by the adder will be all zeros. You can then use multiple of same and nand gates to do exactly what you say can't be done.

In Topic: P versus NP solved!!!

Yesterday, 02:48 PM

Proof: Since the empty set cannot be represented by a Boolean circuit C




Assume set with numbers given by 3 32 bit integers.


1,2,3,4 -> etc


Then we add the cardinality of the given set. We place each number into registers and increment a number stored in d flip flops representing the cardinality each time.


Then read the numbers from the registers decrementing the number each time.


Now we have a boolean circuit capable of representing the null set by checking the value stored in the flip flops.





In Topic: Are CRTs as bad for landfills as they're made out to be?

Yesterday, 08:24 AM

Hi the problem with landfills is that when you have loads of rubbish in one place it begins to generate heat and chemicals which will melt the lead etc causing harmful gas buildup under the ground. Also lead is water soluble so when it rains it could leech into the water supply.

In Topic: Quadric Surfaces

25 April 2017 - 11:13 PM

As far as I can tell they expect you to use the general equation for an elliptic paraboloid




Where a and b are the length of the elipsis on the x and y axis respectively. So in this case there are 2 possible equations without more info.





In Topic: What is Freemasonry about?

24 April 2017 - 05:41 AM

Receiving substantial local help when he needed it while traveling abroad with his family.​



I have a paper like that.