MHB F[x]: Congruence Solutions | Math Q&A

  • Thread starter Thread starter Joe20
  • Start date Start date
Click For Summary
The discussion revolves around verifying the correctness of solutions to a math problem related to congruence. The original poster seeks clarification on the theorem used for part (d) of their question. Respondents confirm that the solutions appear correct and suggest using equivalence class brackets for terms in the relation R. The conversation emphasizes the importance of notation in mathematical expressions. Overall, the thread provides helpful feedback on congruence solutions.
Joe20
Messages
53
Reaction score
1
Hi all, I have completed this question as attached. Hope someone could help to check if my solutions are correct. However, I am not sure what theorem is used for part (d). May need some advice. Thanks.
 

Attachments

  • Q2...png
    Q2...png
    16.4 KB · Views: 114
  • Q2i.jpg
    Q2i.jpg
    86.2 KB · Views: 110
  • Q2ii.jpg
    Q2ii.jpg
    62.9 KB · Views: 108
  • Q2iii.jpg
    Q2iii.jpg
    76.1 KB · Views: 115
Physics news on Phys.org
All your solutions look correct. (Yes)

Just a minor comment, but you might want to put the equivalence class brackets around the terms belonging to $R$.
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
View full post »

Similar threads

Undergrad Congruence for Symmetric and non-Symmetric Matrices for Quadratic Form
  • · Replies 7 ·
Replies
7
Views
2K
MHB Why is \{ x_1, x_2, \ldots, x_{n-1}, x \} a basis for F in Proposition 4.3.14?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Why Does d and 1 Being Associates Imply 1 is a GCD?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Primitive Elements and Free Modules .... ....
  • · Replies 2 ·
Replies
2
Views
1K
MHB Dual Spaces .... Friedberg et al, Example 4, Section 2.6
  • · Replies 2 ·
Replies
2
Views
2K
MHB Understanding Bland's Proof of Proposition 4.3.14: Primitive Elements of Modules
  • · Replies 1 ·
Replies
1
Views
1K
MHB Congruences - Rotman - Proposition 1.58
  • · Replies 2 ·
Replies
2
Views
1K
MHB Field Theory _ Dummit and Foote - Theorem 3
  • · Replies 3 ·
Replies
3
Views
2K
MHB Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions
  • · Replies 3 ·
Replies
3
Views
2K
MHB Help with $(iii)$ of Math Problem on MHB
  • · Replies 3 ·
Replies
3
Views
2K