Okay, so this makes more sense now. I was in the mindset of Zn when I saw H.
So we have S3 = {(1)(2)(3), (1)(2, 3), (3)(1, 2), (1, 2, 3), (1, 3, 2), (2)(1, 3)}
With H = <(3,2,1)>
Using permutation multiplication to generate H we get:
(3,2,1)^1 = (3,2,1) = (1,3,2)
(3,2,1)^2 = (1,2,3)
(3,2,1)^3...
Homework Statement
Find all cosets of the subgroup H in the group G given below. What is the index (G : H)?
H = <(3,2,1)>, G = S3
Homework EquationsThe Attempt at a Solution
I will leave out the initial (1,2,3) part of the permutation. We have S3 =...
Homework Statement
Basically I'm trying to create two timers using System.threading.timer that run in parallel. One that runs for a minute, one that runs for a second. When I run the program I get nonsensical output. Despite reading a lot of stack overflow questions I can't seem to find where...
Homework Statement
My problem is:
For the logarithmic spiral R(t) = (e^t cost, e^t sint), show that the angle between R(t) and the tangent vector at R(t) is independent of t.
Homework Equations
N/A
The Attempt at a Solution
The tangent vector is just the vector that you get when you take the...
Homework Statement
Hi, I'm doing a variation of parameters problem for my differential equations class. It requires solving the integral:
∫ex t-2 dt
I am sure my professor did not give me an impossible integral and that there is some algebraic "trick" to solving it, but despite going through...
Homework Statement
So I'm getting an error when I try to compile my C++ code:
Debug Error
Abort() has been called
I have commented the code reasonably well, but the idea of the program is to take a file, separate the contents in each line to a part of a structure containing:
Product Lookup...
Homework Statement
So, I'm getting two blocks of zeroes in my console output from this program. After much effort (and stack exchange) I'm still unable to get it working. Could someone point me to a solution?
Mod note: Added code tags
Homework Equations
#include<iostream>
#include<iomanip>...
Changed parts in bold
Later changes are in italics
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Since y,z ∈ ℝ
y+z ∈ ℝ because ℝ is closed under addition.
So x ∈ ℝ.
:Break:
Let u = (x,y,z) be some vector in W.
Let v = (a,b,c) be some vector in W...
Homework Statement
The question asks to show whether the following are sub-spaces of R^3. Here is the first problem. I want to make sure I'm on the right track.
Problem: Show that W = {(x,y,z) : x,y,z ∈ ℝ; x = y + z} is a subspace of R^3.
Homework Equations
None
The Attempt at a Solution...