My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Thanks Tree4Thanks
  • 1 Post By v8archie
  • 1 Post By v8archie
  • 2 Post By Deveno
Reply
 
LinkBack Thread Tools Display Modes
September 5th, 2014, 02:40 PM   #1
Senior Member
 
Joined: Dec 2013

Posts: 137
Thanks: 4

Translating If - Then statements

I have one that is throwing me.

"If S and T are integers, such that s * t is an even integer, then S or T is an even integer."

I am instructed to TRANSLATE not NEGATE the above sentence into an equivalent statement involving the universal quantifier ”For Any"


the "such that" part of the statement is mixing me up. I want to say, "For any integers S and T, having an even integer as their product, Then S or T must be an even integer."

But that doesn't sound right so I am pretty sure then it is not.

Please help someone

Last edited by greg1313; September 5th, 2014 at 03:05 PM.
mr. jenkins is offline  
 
September 5th, 2014, 03:31 PM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,308
Thanks: 2443

Math Focus: Mainly analysis and algebra
My translation would be:
Quote:
For any (pair of) integers S and T to have an even product, either S or T must be even.
Thanks from mr. jenkins
v8archie is online now  
September 5th, 2014, 03:50 PM   #3
Senior Member
 
Joined: Dec 2013

Posts: 137
Thanks: 4

reply

I actually was trying to write down pair (for it felt correct and I think I read over it) but I could not locate it in the online text around the problem.

I will let you know V8 about any/all feedback I get back on this one particular question/problem.

Also, ... what would I do without u V8? You have been here like clockwork all the time so thank you.
mr. jenkins is offline  
September 5th, 2014, 04:39 PM   #4
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,308
Thanks: 2443

Math Focus: Mainly analysis and algebra
The "pair of" is optional. The main differences between your version and mine were "having"/"to have" and the omission of "then".
v8archie is online now  
September 9th, 2014, 04:10 PM   #5
Senior Member
 
Joined: Dec 2013

Posts: 137
Thanks: 4

Well the instructor said the following ...so not sure if I worded my post wrong or what but here is what was said.

I submitted the following: Gyazo - 6db36b441cf66e77e847c8841cf2490a.png

Instructor sent back the following: (0 pt) We are looking for direct traslation, not an interpretation.

”For any integers s and t such that s · t is an even integer, s or t is an even integer."
mr. jenkins is offline  
September 9th, 2014, 04:55 PM   #6
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,308
Thanks: 2443

Math Focus: Mainly analysis and algebra
Sorry! I think they are being rather picky. I see all both as statements.
Thanks from mr. jenkins
v8archie is online now  
September 10th, 2014, 08:59 PM   #7
Senior Member
 
Joined: Mar 2012

Posts: 294
Thanks: 88

My natural inclination:

$\forall s,t \in \Bbb Z: st \in 2\Bbb Z \implies (s \in 2\Bbb Z)\vee(t\in 2\Bbb Z)$
Thanks from mr. jenkins and aurel5
Deveno is offline  
September 13th, 2014, 05:45 PM   #8
Senior Member
 
Joined: Dec 2013

Posts: 137
Thanks: 4

@Deveno,

You are dead on with that symbolic math language brother. I like your style.

as a new AA student I'm of course just getting acclimated to symbolic language so when I read your feedback next to the question it's perfect. I'm reading like For any s and t that are integers such that s times t is even integers so s is even integer or t is even integer.

not sure if thats quite translated right but I can follow the language

Thank You Deveno and thank you V8 for being present on this site. This site has been such a comforter
mr. jenkins is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
statements, translating



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Need help translating these sentences pixieluna Applied Math 4 October 24th, 2015 05:13 PM
translating a circle yogazen2013 Algebra 4 October 7th, 2013 06:53 AM
Translating Algorithm into Math? flyjoe Real Analysis 0 February 12th, 2013 05:17 PM
Translating Equations IDoNotLikeMath Algebra 7 June 19th, 2012 07:19 PM
translating a circle yogazen2013 Calculus 0 December 31st, 1969 04:00 PM





Copyright © 2018 My Math Forum. All rights reserved.