Recent content by f24u7

thanks for the reply, could you give me a hint for how would you go about deriving this

Suppose you flip a fair coin 10,000 time how can you characterize the distribution of the occurrence of head? From the textbook, it says that P[head>n/2 + k√n] < e^(-k^2)/2, why is that and what is the derivation? What theorem is this, we had only learn Bernoulli distribution and Chebyshev so...

I don't quite get the significance of the delta limit definition, if n>N and |sn−s|< ϵ , why does the limit converges does this simply means that there exist a number ε such that if n is great enough it will be greater than s by ε? But this doesn't make sense, because s is the value...

There are certain key pairs of RSA that will return the same exact value when encrypt and decrypt, for example (5,7) and (13,19) is there a mathematical pattern that describes this behavior? Any advice would be appreciated

Sorry, I still don't quite understand how to solve the question, can you give me more hint?

I think you miss the order, the original statement just says that there exist a, b that exist in the set of integers in which a and b is not equal to zero

Homework Statement Homework Equations a. I know that x*a mod y should be the same as y*b mod x but I don't understand why b. I know that an inverse can be constructed because x and y are mutually prime and gcd(x,y) = 1 , but I have no clue at what pair x and m is possible c. I have no idea...

thanks for reply, they have clarified my confusions

I thought the above description is what the developing smart grid systems are for? thank you for the reply

thanks for the reply, however I am still a little confused, as doesn't majority types of power plant have to maintain critical temperature, so resource might be wasted when power demand is below the minimum generating requirement to keep the power plant running, and even if it is throttled how...

Hi, it has recently occurred to me that current technology does not allow massive electricity storage, and this has made me rather confused, as this implies that power generation has to be exactly matching the demand of power at any given time or else energy is wasted because of generating too...

Hi, recently I have being thinking about math in different bases, and I was wondering if there is a relationship between ∏ from different bases. Also is there mathematics related books that discusses math in different bases? Thanks in advance

thanks for the reply, but I still don't understand why is m and n both are even a conclusive evidence that p is not a rational?

I saw a proof on a textbook, but I don't understand why m and n should not both be even? Prove p^2 =2 then p is irrational (1) p^2 = 2 is not satisfied by any rational p. If there were such a p, we could write p = m/n where m and n are integers that are not both even. Then (1) implies (2)...

Homework Statement I just would like to know how would I isolate x in a quadratic equation such as y = x(3-x). Homework Equations quadratic equation. The Attempt at a Solution I don't think you can use completing square in this, and quadratic equation doesn't really...