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#1 2012-10-16 09:55:38
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
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
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#2 2012-10-16 10:44:58
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
Why would anyone want to change it. If we included the arrow, then the limit operator would be redundant...
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#3 2012-10-16 11:23:37
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4 2012-10-17 02:53:36
- ShivamS
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- Registered: 2011-02-07
- Posts: 3,648
Re: Limits
Although I highly doubt anyobne would give heed to my suggestion.
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#5 2012-10-17 06:47:57
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
You should first give good arguments on why you think your notation is better and then publish it somewhere and somehow...
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#6 2012-10-17 10:09:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#7 2012-10-17 11:24:28
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
True, but I remember a document by Knuth about the use of Iverson brackets.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#8 2012-10-17 11:31:25
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#9 2012-10-17 11:58:15
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
I like those, for some reason. They remind me a little of the "if" statement in programming languages and is very useful.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#10 2012-10-17 12:10:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#11 2012-10-17 12:47:23
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
Well, the differ by the argument and you can also use the floor function notation to represent the integer function.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#12 2012-10-17 12:59:37
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2013-12-25 22:31:09
- kapila
- Member
- Registered: 2013-12-25
- Posts: 1
Re: Limits
∫sin2x/(x+sinx)(2+sinx) dx please help me to find answer fo above problem
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#14 2013-12-25 22:52:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Hi;
Is this the problem?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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