Recent content by iamsmooth

Well, I am simulating events. Each event starts out doing action B for an amount of time that's exponentially distributed with a mean of 30 minutes, to get this number I do: -(actionTime) * log(randomNumber) where actionTime is the amount of time the event is spent performing action and...

The algorithm is that each event will perform an action A followed by action B. Action A is performed for an exponentially distributed amount of time with a mean of 10 minutes, and B is performed for an exponentially distributed amount of time for 30 minutes. So what I'm trying to figure out...

Homework Statement I am a dumb programmer trying to figure out the relationship for a sequence of output. I can't seem to figure it out by guessing, so I assume there's a way to mathematically work this out. Anyways I wrote a program to do discrete event simulation and I have the following...

Homework Statement A: Albert survived the plane crash B: Bill survived the plane crash C: Cory survived the plane crash Create the sentence (sentential logic) "at most one of them will survive the plane crash".Homework Equations The Attempt at a Solution \sim[(A\&B)\vee((B\&C)\vee(C\&A))]...

Just a quick theory question. I'd assume it is, but usually the bigger number goes first. e.g. gcd(10, 5) = 2 but does gcd (5, 10) = 2? My guess is yes. Thanks for the help.

like l'Hopital said, 1/x * x = 1, so yeah I guess that works. Thanks a lot guys :D

i'm so stupid, i figured it out, given any real number, multiply it by 0 and 0 is an integer... i wasn't thinking simple enough...

well if you give me any integer, multiplying it by any integer will produce an integer if you give me an irrational, how can you prove that no number can make an integer. it's defined on reals, not integers. i don't think that 1/x example works since it says there exists, as long as there...

Homework Statement Prove or disprove: ∀x ∈ R ∃y ∈ R so that xy ∈ Z. (R denotes set of all real nuimbers, Z denotes set of all integers)Homework Equations The Attempt at a Solution I'm not sure how to attack this question. It seems false, but I can't think of a good counterexample. Like If I...

Assuming B \subseteq C is true, we know that if there is any element x \in B, then x \in C. For any element (a, b) \in A \times B where a is an arbitrary element of A and b is an arbitrary element of B, there will also exist (a, b) \in A \times C since b \in B and b \in C must be true (by...

Let x \in B be arbitrary. Assuming B \subseteq C is true, we know that x \in C. We know that for all elements (a, x) \in A \times B where a is an arbitrary element of A, there will also exist (a, x) \in A \times C since x \in A and x \in C. Therefore by definition of subsets, A \times B...

Homework Statement Prove that \forall sets A, B, C , if B\subseteq C, then A \times B \subseteq A \times CHomework Equations The Attempt at a Solution Haven't done set theory proofs in a while. Does this suffice in proving the statement?: Let x \in B be arbitrary. Assuming B \subseteq C...

Thank you very much :D

Homework Statement Let A = {1,2,3} and B = {1,2,3,4,5} Find the number of functions f: A -> B so that f(1) = f(2) Homework Equations The Attempt at a Solution I'm just reviewing random questions for my final on Tuesday and I came upon this question. Seems to be a counting...

Homework Statement For all a in the set of real numbers, if a is rational, a + \sqrt{2} is irrational. You may use that \sqrt{2} is irrational and the sum and difference of rational numbers is rational. Homework Equations The Attempt at a Solution My proof seems way too simple, I don't trust...