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Thread: The Maths Thread

  1. #121
    International Debutant andmark's Avatar
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    Quote Originally Posted by vcs View Post
    Basically the remainder of dividing one integer by another. For example 8 modulo 3 is 2.
    Ah, thanks.
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  2. #122
    International 12th Man blahblahblah's Avatar
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    Quote Originally Posted by andmark View Post
    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..

  3. #123
    Cricket Web: All-Time Legend Uppercut's Avatar
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    The only time I've ever come across the modulo function is in computer programming. Is it much use anywhere else?
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  4. #124
    International Vice-Captain Redbacks's Avatar
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    Quote Originally Posted by Uppercut View Post
    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.


  5. #125
    vcs
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    Quote Originally Posted by Redbacks View Post
    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.

  6. #126
    Global Moderator Spark's Avatar
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    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.
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  7. #127
    Cricket Web Staff Member / Global Moderator Neil Pickup's Avatar
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    Quote Originally Posted by Redbacks View Post
    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.
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  8. #128
    vcs
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    Yes cryptography, and error-correcting codes (used in storage, data transmission networks) are all based on modulo arithmetic.

  9. #129
    Global Moderator Spark's Avatar
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    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.

  10. #130
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    Quote Originally Posted by Spark View Post
    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..

  11. #131
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    Question:

    What's the difference between an irrational number and a constant?
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  12. #132
    The Wheel is Forever silentstriker's Avatar
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    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).
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  13. #133
    The Wheel is Forever silentstriker's Avatar
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    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.

  14. #134
    International Captain cover drive man's Avatar
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    Couldn't you say that all constants are irrational?

  15. #135
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    And vice versa?

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