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#1 2012-10-17 08:55:38
- Shivamcoder3013
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Limits
Limits are weird. Alas, now no one can change the notation from:
lim f(x) = b to lim f(x) = ->b
x->a x->a
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.
#2 2012-10-17 09:44:58
- anonimnystefy
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Re: Limits
Why would anyone want to change it. If we included the arrow, then the limit operator would be redundant...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#3 2012-10-17 10:23:37
- bobbym
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Re: Limits
Math notation is still evolving. There are many bits of notation that have not been standardized.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#4 2012-10-18 01:53:36
- Shivamcoder3013
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Re: Limits
Although I highly doubt anyobne would give heed to my suggestion.
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.
#5 2012-10-18 05:47:57
- anonimnystefy
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Re: Limits
You should first give good arguments on why you think your notation is better and then publish it somewhere and somehow...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#6 2012-10-18 09:09:00
- bobbym
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Re: Limits
Usually someone writes a paper on something else and includes his idea/notation. Others see and go crazy over it.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#7 2012-10-18 10:24:28
- anonimnystefy
- Real Member
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Re: Limits
True, but I remember a document by Knuth about the use of Iverson brackets.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#8 2012-10-18 10:31:25
- bobbym
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Re: Limits
Iverson brackets. I haven't heard that phrase in over a millennium.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#9 2012-10-18 10:58:15
- anonimnystefy
- Real Member
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Re: Limits
I like those, for some reason. They remind me a little of the "if" statement in programming languages and is very useful.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#10 2012-10-18 11:10:51
- bobbym
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Re: Limits
The trouble is it conflicts with the sometimes usage of the integer function [ ].
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#11 2012-10-18 11:47:23
- anonimnystefy
- Real Member
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Re: Limits
Well, the differ by the argument and you can also use the floor function notation to represent the integer function.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#12 2012-10-18 11:59:37
- bobbym
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Re: Limits
Hmmmm. But didn't the integer function come first? I do not see what right that upstart Iverson operator has to steal some other operators symbol?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.