Hi friends, Thanks a lot for you guys helping many like me. Anyways I am sort of struggling with the following question: Pick two random numbers between 0 and...
... Assuming "random" means "uniformly distributed with respect to Lebesgue measure", you want the area of the region in the unit square [0,1] x [0,1] on which...
Hi, all. well i would like first apolozise for the mess i fwd: was blank ,but seriously it was not a virus ...neways,here's problem: Here is a challenging...
let $:R->R' be ring homomorphism. prove that (a)if J is an ideal of R,then $(J) is an ideal of R' (b)if J' is an ideal of R', then $^-1(J')={a is an element of...
(a) the positive integers form aring under the additon and multiplication of integers (b) the power set of a set forms a ring under the operation U(union) and...
... Each of your four (!!) posts contains one or more questions that can be answered immediately by consulting the definitions of the concepts involved. Your...
Agreed!! While the poster may find somebody here with an overinflated ego willing to do his homework for him, he will not learn anything in the process....
... Each value A_i counts the number of times the digit i appears, so the sum of the terms may be written (1) A_0 + A_1 + ... + A_9 = 0*A_0 + 1*A_1 + 2*A_2 +...
Hello, === Show that d(z1,z2)= |z1-z2|/sqrt((1+z1^2)(1+z2^2)) defines a distance on C (the complex numbers). === PS: if you know this stems from the...
... Just a thought: If d is a metric and f:[0,oo) -> [0,oo) is non-decreasing and concave, then f(d) is also a metric. Along lines through the origin, the...
... Much simpler completion of the argument: Already we have at least one block at k and at most k blocks at 0. The mean position is therefore at least 1, with...
... the ... I might have misunderstood, but if P1,P2 are two points along the same radial line, f(|P1-P2|) = |r1-r2|/sqrt(1+(r1-r2)^2) but that doesn't look...
In a message dated 12/7/2005 6:51:50 PM Central Standard Time, ... Whatever the answer is, it's the same as when the problem was last brought up on this list,...
... Oops...I'd been thinking "the distance to 0 along a line through the origin", which is much less interesting since, as you point out, it doesn't even give...
... Take three: Case 0) A_k=0 for all k>1. This would force A_1=10, in violation of the hypotheses of the problem. Henceforth k>1. Case 1) A_k = 1. In order...
... Uh..... Saddam's Proof? ... ALGAE BRA!!! ... Eclip? ... ... bang bang? And a couple more for good measure, authored and authorised by moi: 17: What is an...
In a message dated 12/8/2005 9:44:26 AM Central Standard Time, ... I tried unsuccessfully to find where I'd seen the problem. It may have been somewhere else,...
Here's my proof of the uniqueness of the solution: (I'm not sure if it will be equivalent to adh's proof). Define: a(i) # of i's in sequence, for i=0 to 9 S =...
... Theorem of the mean Is Saddam a mathematician? I know he was a Devil, was mean and still is. However there is an old saying: Better the devil you know than...
Prove the following (there's a relatively simple proof): If A,B,C are any three vectors then |A|*|B-C| , |B|*|A-C| , |C|*|A-B| satisfy the triangle inequality....
Function f R-->R is defined in all real numbers prove: for any real numbers x and y and for any function f R-->R which is defined in all real numbers, there...
Are you trying to solve the functional equation, i.e to prove that such a f exists, or are you trying to prove that for any f there are two x,y satisfying this...
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