20110119, 00:31  #1  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
R.D Silverman's number theory homework
I know most of you have agreed to ignore me and a few others, But I have a question about something I read doing the homework Silverman suggested.
Quote:


20110119, 00:51  #2 
Aug 2006
13533_{8} Posts 

20110119, 00:53  #3  
"Forget I exist"
Jul 2009
Dumbassville
20300_{8} Posts 
I think I'm a bit off track as this reminds me of the later phrasing:
Quote:


20110119, 01:11  #4 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Thank you very much for all the help you've provided on this forum (Especially this type of help).
Last fiddled with by science_man_88 on 20110119 at 01:12 
20110119, 01:51  #5  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
Quote:
Last fiddled with by science_man_88 on 20110119 at 01:52 

20110119, 01:59  #6 
Tribal Bullet
Oct 2004
3·1,181 Posts 
When I read that symbol I mentally translate it to 'a member of'.

20110119, 03:31  #7 
"Lucan"
Dec 2006
England
1100101001010_{2} Posts 

20110119, 05:30  #8  
Aug 2006
3×1,993 Posts 
Quote:
Suppose I define ~ over the real numbers as "x ~ y if and only if x  y is an integer". Then 0.2 ~ 1.2, 0.2 ~ 2.2, 0.2 ~ 3.2, etc., so that [0.2] = {..., 0.2, 1.2, 2.2, ...}. Is this ~ an equivalence relation? (Check if it has the three properties.) Last fiddled with by CRGreathouse on 20110119 at 05:40 

20110119, 05:39  #9  
Aug 2006
3·1,993 Posts 
Quote:


20110119, 07:29  #10  
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
2A1C_{16} Posts 
Quote:
I feel I ought to head off a possible misconception which, if you hold it, will cause confusion later. When CRGreathouse used the phrase "x is any random number" he clearly used "random" in the colloquial sense. However, it also has a precise mathematical meaning and you should be careful of using "random" in a context where you do not intend the technical meaning. In particular, the phrase "x is any number" has exactly the same intended meaning and does not suffer from the potentially misleading ambiguity. Paul 

20110119, 07:35  #11 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
3×419 Posts 
@science_man_88: What is your educational qualification?
You said that you cannot afford to buy book. What is your father, mother? What place are you from? 
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