International Debutant

Join Date: Sep 2006
Location: Taking 39 steps
Posts: 2,741
Quote:
 Originally Posted by vcs Basically the remainder of dividing one integer by another. For example 8 modulo 3 is 2.
Ah, thanks.
__________________
Well the Irish did it on St Patrick's day

Rip Fardin Qayyumi, Bob Woolmer and Craig.
No offence Neil
"No good thing ever dies." Andy Dufresne. The Shawshank Redemption.
"Don't interupt the emeny when they're making a mistake" Napoleon

International 12th Man

Join Date: Jun 2010
Location: As always, my room
Posts: 1,731
Quote:
 Originally Posted by andmark Ah, thanks.
definition of congruent:

A number `a` is said to be congruent to `b` modulo `m` if `m` divides (a-b)

its written as a ≡ b mod m

so we can say that when we write a≡b mod m ,, `b` is the remainder that is obtained when` a` is divided by `m`.

now let us take a few examples:

9≡1mod2

13≡1mod4

but now u get this doubt, when 13 is divided by 4 , remainder is why only 1 ? why cant we say the remainder is -3 ????

infact this doubt is correct. we can even write

13≡-3mod4

so we can write in various ways as we wish to..
__________________
http://erdos.posterous.com/

Cricket Web: All-Time Legend

Join Date: Jul 2008
Location: Norn Iron
Posts: 21,769
The only time I've ever come across the modulo function is in computer programming. Is it much use anywhere else?
__________________
Quote:
 Originally Posted by zaremba The Filth have comfortably the better bowling. But the Gash have the batting. Might be quite good to watch.

International Vice-Captain

Join Date: Mar 2008
Location: Barrow Island, WA
Posts: 4,063
Quote:
 Originally Posted by Uppercut The only time I've ever come across the modulo function is in computer programming. Is it much use anywhere else?
You could say time. with a 24 hour clock being mod 24 a general thing that people would use without thinking about it say when doing something in 30 hours.

I guess it would still require computer programming of some sort but Cryptology also makes extensive use of the mod function for coding. The RSA algorithm used in banking a prime example.

Last edited by Redbacks; 05-09-2010 at 08:38 PM.

International Coach

Join Date: Apr 2009
Location: India
Posts: 10,305
Quote:
 Originally Posted by Redbacks You could say time. with a 24 hour clock being mod 24 a general thing that people would use without thinking about it say when doing something in 30 hours. I guess it would still require computer programming of some sort but Cryptology also makes extensive use of the mod function for coding. The RSA algorithm used in banking a prime example.
Yeah, there is an entire branch of mathematics based on modulo arithmetic - rings, fields and groups all use modulo arithmetic if I'm not mistaken.

Global Moderator

Join Date: Feb 2010
Location: A Blood Rainbow
Posts: 26,745
big segment of algebra - i.e. group theory - is based on modular arithmetic (quotient groups and what not)

a big section of ring theory is as well. number theory too.
__________________
+ and the buzz surrounds it does +

* * *

in which cribb demonstrates the power of the jinx

Quote:
Quote:
 Originally Posted by Spark [Dhoni on 99] Barely seen any of the day's play (for sanity's sake), but here's a competition that might be fun: things more common than a Tim Bresnan wicket
Quote:
 Originally Posted by Prince EWS 3) Dhoni scoring a composed, valuable Test hundred against good bowlers
Quote:
 129.1 Anderson to Dhoni, OUT, Dhoni is run out on 99!

Cricket Web Staff Member / Global Moderator

Join Date: Mar 2002
Location: Oxford, England
Posts: 26,361
Quote:
 Originally Posted by Redbacks You could say time. with a 24 hour clock being mod 24 a general thing that people would use without thinking about it say when doing something in 30 hours. I guess it would still require computer programming of some sort but Cryptology also makes extensive use of the mod function for coding. The RSA algorithm used in banking a prime example.
I appreciated that, even if nobody else did.
__________________
MSN Messenger: minardineil2000 at hotmail dot com | AAAS Chairman
CricketWeb Black | CricketWeb XI Captain
ClarkeWatch: We're Watching Rikki - Are You?

Up The Grecians - Exeter City FC

Completing the Square: My Cricket Web Blog

 06-09-2010, 03:18 AM #128 (permalink) International Coach     Join Date: Apr 2009 Location: India Posts: 10,305 Yes cryptography, and error-correcting codes (used in storage, data transmission networks) are all based on modulo arithmetic.
 06-09-2010, 04:26 AM #129 (permalink) Global Moderator     Join Date: Feb 2010 Location: A Blood Rainbow Posts: 26,745 i might be wrong as it's been a while but i think error-correction/detection in cpu's work on churning stuff through polynomial rings? that's modular arithmetic.
International Coach

Join Date: Apr 2009
Location: India
Posts: 10,305
Quote:
 Originally Posted by Spark i might be wrong as it's been a while but i think error-correction/detection in cpu's work on churning stuff through polynomial rings? that's modular arithmetic.
Yep..

 07-09-2010, 11:20 AM #131 (permalink) International Captain     Join Date: Dec 2006 Location: Liverpool, England Posts: 7,049 Question: What's the difference between an irrational number and a constant? __________________ Everyone wants to change the world, noone wants to change himself. -Tolstoy
The Wheel is Forever

Join Date: Feb 2006
Location: USA
Posts: 36,501
Irrational number = you can't express that number as a fraction (like log 2).
A math Constant = a number that arises 'naturally' in math (like pi). A physical constant = a number that is somehow a fundamental part of nature (e.g, the gravitational constant).
__________________
Quote:
 Originally Posted by KungFu_Kallis Peter Siddle top scores in both innings....... Matthew Wade gets out twice in one ball
"The future light cone of the next Indian fast bowler is exactly the same as the past light cone of the previous one"
-My beliefs summarized in words much more eloquent than I could come up with

How the Universe came from nothing

 07-09-2010, 11:42 AM #133 (permalink) The Wheel is Forever     Join Date: Feb 2006 Location: USA Posts: 36,501 There is overalp - pi is both irrational and a constant. It is also a transcendental number.... Hell, you can even say that pi is also a physical constant. Last edited by silentstriker; 07-09-2010 at 11:44 AM.
 07-09-2010, 01:09 PM #134 (permalink) International Captain     Join Date: Dec 2006 Location: Liverpool, England Posts: 7,049 Couldn't you say that all constants are irrational?
 07-09-2010, 01:10 PM #135 (permalink) International Captain     Join Date: Dec 2006 Location: Liverpool, England Posts: 7,049 And vice versa?

 Currently Active Users Viewing This Thread: 1 (0 members and 1 guests)
 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post SupaFreak2005 Off Topic 233 03-11-2012 03:15 PM lord_of_darkness Cricket Web XI 329 17-12-2004 03:21 PM Neil Pickup Cricket Chat 453 08-12-2004 07:26 AM Craig Cricket Chat 2652 08-01-2004 07:00 PM Mr Mxyzptlk Cricket Chat 554 01-12-2003 03:11 AM

All times are GMT -6. The time now is 11:07 PM.