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Jun
7
comment What is the difference between necessary condition & sufficient condition?
That's right; but your second sentence contradicts this: you wrote that if A' is a sufficient condition for B then A' must exist in order for B to occur, which is not true. That's why I asked if you had a typo
Jun
7
comment What is the difference between necessary condition & sufficient condition?
Typo? "Sufficient condition A′ means that A′ must exists in order for B to occur [...]"; wouldn't that mean that one must solve the Riemann hypothesis to get accepted into a prestigious university?
Jun
3
comment Is this theorem already in existence?
I think it's usually introduced to high-schoolers when factoring quadratics with integer coefficients: you expand out the product and get them to find two integers which add up to $s$ and multiply to $p$.
May
27
comment Identification of a quadrilateral as a trapezoid, rectangle, or square
Perhaps more importantly, why did your student not produce a counterexample (e.g. by drawing on the board) after her answer had been questioned? Possibly shyness/anxiety? (apologies if someone asked this before, did not read all the comments)
May
11
comment RSA, cipher, Cryptosystem
That's right (and we disregard $C_3$ because it's not needed, you only need two ciphertexts of the same plaintext encrypted with coprime public exponents to obtain a linear combination like Todd shows - 17, 19 and 21 are pairwise coprime so you could use $C_1$ and $C_2$, or $C_2$ and $C_3$, or even $C_1$ and $C_3$)
May
11
answered RSA, cipher, Cryptosystem
May
5
comment Notation (or Name) of the function which is 0 at x=0 and 1 otherwise
This isn't "traditional notation" (nor simpler) like the question asked, it seems more like obfuscation than anything.... unless this definition from the Heaviside function allows one to derive nontrivial information about the function, it seems pointless.
May
4
comment Result of solving an unsolved problem?
puts tin foil hat on maybe the NSA has already found a constructive proof that P = NP... (just kidding, or am I?)
Apr
27
accepted A quadratic polynomial bounded by another
Apr
27
comment A quadratic polynomial bounded by another
Thanks, I guess this settles it haha
Apr
27
asked A quadratic polynomial bounded by another
Apr
21
comment Determine if the following is surjective
Just wondering, how come you used a greek eta symbol rather than a plain n? Not criticising, just curious if it has any special significance...
Apr
20
comment How many scientists can survive?
"hopefully clever enough" if they aren't, the 99 scientists die in confusion while the first one dies in vain.
Apr
5
comment Satisfying inequality of large powers
@pyrazolam "up to about 13" how convenient... :D
Mar
30
comment Is the statement always true?
Likely the span of $\{ u, v, w \}$, but yeah it's unclear.
Mar
23
comment What would be the immediate implications of a formula for prime numbers?
How exactly does the ability to generate the $n$th prime in $O(\log n)$ time (assuming it was possible) lead to a break of RSA?
Mar
23
comment Who discovered the first explicit formula for the n-th prime?
The formula here doesn't actually give any insight into computing the $n$th prime efficiently, all it does is encode (obfuscate?) the process of trial division, or something related, into an unreadable mathematical expression. The presence of floor operations and sums (which are a cute but in this context uninteresting way to emulate conditionals and loops) give it away.
Mar
20
awarded  Pundit
Mar
20
comment Putnam 2009 B1 (rational number as factorial)
@Amad27 Did you see the corollary in Hagen's answer? Its very easy (trivial?) to extend the result for primes to positive rationals.
Mar
19
awarded  Citizen Patrol