Recent content by blastoise

If f-1 was the floor function wouldn't this imply f does not exist(because the floor function has no inverse) f-1(x) = max {m in Z | m ≤ x } for example f-1(2.4) = 2; f-1(2.3) = 2 then f(2) goes to 2.4 and 2.3 so it isn't a function.

I am going to change my answers, for Z to R the answer is yes, for example f(1) = 1, f(2) = 2 ...f(n) = n. Then f^-1({1}) = 1, f^-1({2}) = 2, f^-1({3.045346}) = null and |{null}| = 1 which is finite. So, yea you are definitely correct on that one(I was going to post it but...

Rude! But, I am right and wrong at same time, the notation in this context I believe does not mean an inverse function, but just the inverse. :X

Steve, I seen what you said before moderators deleted it and yea R is the reals and Z the integers. For the second statement you said to look at the floor function an inverse function does not exist for this. I firmly believe it's a no and no as the number of elements in the range are...

I'm reviewing some problems for a coming up test and was assigned some practice problems and wondering if you guys could say if you agree with my answers or not. Given sets A and B does there exist a function s.t \forall (b \in B) (|f^{-1}(\{b\})| < ∞) f: Z to R - No elements in...

Ok, I understand an inverse function sends a variable in the range to the corresponding value in the domain, but am not sure if what I'm thinking is correct... : For example: Let A be the set A = \{1,2,3,7,8\} ; B = \{4,5,6\} and the function f map A to B s.t f(1) = 4 f(2) =...

If the particle was said to be in a vacuum would the frame of reference argument still hold? What about if the particle is spinning would it still be moving?

Can an object that is producing radiation, have an acceleration but not move... Hi, I took a quiz today and one question was , "Which of these would produce radiation" a) a moving particle b) accelerating particle c) DC current d) a magnetic field (can't remember this) The...

wasn't a proof but deleted it due to rules, but still would like a solution to this myself

Deleted sorry didn't read the rules: Also, please DO NOT do someone's homework for them or post complete solutions to problems. Please give all the help you can, but DO NOT simply do the problem yourself and post the solution (at least not until the original poster has tried his/her very best).

Homework Statement A rectangular loop with dimensions 4.2 cm by 9.5 carries current I. The current in the loop produces a magnetic field at the center of the loop that has magnitude 5.60×10−5 T and direction away from you as you view the plane of the loop.Homework Equations...

It's false, because you when you say if and only if it is the same things as If-And-Only-If Proofs Often, a statement we need to prove is of the form \X if and only if Y ." We are then required to do two things: 1. Prove the if-part: Assume Y and prove X. 2. Prove the only-if-part: Assume X...

(1)Assume a, b and n are nonzero integers. Prove that n is divisible by ab if and only if n is divisible by a and n is divisible by b.I'm wrong and can't remember why. I spoke to the professor about it for ~ 1 minute so it seems to have slipped my mind, it was because in one case it's true and...

I was wondering if this is a correct statement, I'm assuming it is for my proof. Let e,f and g be non zero integers and assume ef|g is true. I'm 100% positive this means e and f must both be a factor of g . May some one please confirm if I am correct or wrong please.

*click* Thanks so much :P