Loser66
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Questions Asked

Loser66:
Group Title
Consider the subring of R
\(\mathbb Z[\sqrt2]=\{a+b\sqrt2a, b\in \mathbb Z\}\)
Where addition and multiplication are as defined as usual …
 updated 2 days ago
 11 replies
 1 Medal
Mathematics

Loser66:
Group Title
Two construction companies make bids of X and Y on a remodeling project. The joint pdf of X and Y is uniform on the space 2<x<2.5, 2<y<2.3
I…
 updated 4 days ago
 1 reply
 No Medals Yet
Mathematics

Loser66:
Group Title
You are given the pdf \(\phi(x)=\dfrac{1}{4\sqrt{2\pi}}e^{x^2/32}\) \(\\infty<x<\infty\). Obtain an expression for the pdf of \(W=X^2\)…
 updated 5 days ago
 11 replies
 2 Medals
Mathematics

Loser66:
Group Title
Prove that an even number cannot divide an odd number.
Please, help
 updated 6 days ago
 54 replies
 2 Medals
Mathematics

Loser66:
Group Title
Let a, b nonzero integers
a) Prove that if a, b are relative prime, then, there doesn't exist a prime p such that pa and pb
b) Prove th…
 updated 6 days ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
\[5^m =3q+r \] and \(0\leq r\leq 3\)
determine r
Please, help
 updated 6 days ago
 20 replies
 3 Medals
Mathematics

Loser66:
Group Title
Prove that x^2+4 is an irreducible polynomial in R[x]
Please help
 updated 6 days ago
 35 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Give diagram of all divisor of 484.
I need explanation, please help.
 updated 6 days ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Prove that a nonzero additive abelian group is uniform if and only if the intersection of any two nonzero subgroups must also be nonzero.
P…
 updated 6 days ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
To solve a problem, I apply a lemma which is not represented in class and I lost my credit. What can I do?
I attach the lemma from other b…
 updated 10 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
\(Let~~f:\mathbb R\rightarrow \mathbb R\) be a function. The graph of f, \(\large \Gamma =\{(x,y) \in \mathbb R^2: y=f(x)\}\). Suppose \(f\)…
 updated 10 days ago
 10 replies
 1 Medal
Mathematics

Loser66:
Group Title
a)Prove that a nonzero homomorphic image of a divisible group must also be divisible.
b) Prove that a nonzero finite abelian group cannot b…
 updated 12 days ago
 67 replies
 1 Medal
Mathematics

Loser66:
Group Title
Give an example of a continuous map f: R >R and a closed subset B in R such that f(B) is not closed. Is this possible if B is bounded as w…
 updated 12 days ago
 4 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Let \(X_n\) be a Cauchy sequence. Suppose that for every \(\varepsilon >0\), there is some \(n>1/\varepsilon\) such that \(X_n<\varepsilon…
 updated 12 days ago
 5 replies
 2 Medals
Mathematics

Loser66:
Group Title
Show that \(\dfrac{3^n}{n!}\) converges to 0
Please help.
 updated 13 days ago
 22 replies
 1 Medal
Mathematics

Loser66:
Group Title
Determine c so that f(x,y) satisfies the conditions of being a joint pmf for 2 discrete random variables X and Y
\(f(x,y)=c(\dfrac{1}{4})^x…
 updated 14 days ago
 33 replies
 5 Medals
Mathematics

Loser66:
Group Title
I don't know how to solve it, hihihi... help please
I bought a chicken at $13, then sold it at $15. After awhile, I bought it back at $17, t…
 updated 14 days ago
 15 replies
 5 Medals
Mathematics

Loser66:
Group Title
Let X and Y have the joint pdf \(f(x,y) = 8x(1y)\)
0<y<1 and 0<x<1y
Compute \(P(Y<X~~X\leq 1/4)\) …
 updated 15 days ago
 29 replies
 3 Medals
Mathematics

Loser66:
Group Title
Determine value of c for which, the function is a joint pdf of 2 continuous random variables X and Y
f(x,y) = cxy \(0\leq x\leq 1\) \(x…
 updated 15 days ago
 1 reply
 No Medals Yet
Mathematics

Loser66:
Group Title
Let f:R>R be a bounded function. Prove that f is continuous if and only if the graph of f is a closed subset of R^2. What if f is unbounde…
 updated 16 days ago
 81 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let A be a nonzero additive abelian group.
We say A is decomposable provided there exists groups B and C, both nonzero, such that \(A\simeq…
 updated 14 days ago
 31 replies
 1 Medal
Mathematics

Loser66:
Group Title
Show that a nonzero subgroup of an additive abelian divisible group need not also be divisible.
Please, help
 updated 16 days ago
 24 replies
 1 Medal
Mathematics

Loser66:
Group Title
\(\huge Problem1\)
We say A is decomposable provided there exist groups B and C, both nonzero, such that A isomorphism to B x C. A nonzero a…
 updated 17 days ago
 15 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Find distribution of W =X^2 when X is N (0,4)
Please, help
 updated 17 days ago
 4 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let G be a group containing subgroups M and N. Suppose that \(M\subseteq N_G(N)\)
Prove.
1) \(MN=\{mnm\in M, n\in N\}\) is a subgroup of G…
 updated 19 days ago
 137 replies
 3 Medals
Mathematics

Loser66:
Group Title
Let G be a group and let K and N be normal subgroups of G. Prove that there is an injective group homomorphism from
\(G/K\cap N\) to (G/K…
 updated 20 days ago
 19 replies
 3 Medals
Mathematics

Loser66:
Group Title
Need help putting the logic in neat. :) Let G, H,K be groups
f1: G> H
f2: G> K…
 updated 20 days ago
 31 replies
 1 Medal
Mathematics

Loser66:
Group Title
\(f:R^2\rightarrow R\\(a,b)\rightarrow a\), f is continous, and A x B connected in R^2
if \(B=\emptyset\) , then A is connected
howabout …
 updated 21 days ago
 2 replies
 1 Medal
Mathematics

Loser66:
Group Title
I read but not know why they said so. Please, explain me.
…
 updated 21 days ago
 11 replies
 2 Medals
Mathematics

Loser66:
Group Title
I don't see how:
if \(r_1(t) = (1t)P+t (1,0) ~~~0\leq t\leq1\)
\(r_2(t) =(1t)(1,0) + tQ~~~0\leq t\leq 1\)
…
 updated 22 days ago
 68 replies
 4 Medals
Mathematics
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