Math Is Fun Forum
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#51 2014-11-11 04:55:49
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Is there such a function?
Depends on your point of view. Management always thinks employees are overpaid and lazy. They always think they are underpaid and heading for greatness. The employees, always think they are underpaid, overworked and unappreciated, not necessarily in that order.
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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#52 2014-11-11 04:57:25
Re: Is there such a function?
I am sorry about that. I will rush into the Customer Care and tell them I appreciate them a lot.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#53 2014-11-11 05:00:45
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Is there such a function?
That would be a good idea. You could chat them up just for the chance to say what a great job they are doing and how much you admire and want to be like them.
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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#54 2014-11-11 05:13:21
Re: Is there such a function?
I wish someone did the same with me.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#55 2014-11-11 05:14:40
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Is there such a function?
Where? Is this I am under appreciated week?
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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#56 2014-11-11 05:23:15
Re: Is there such a function?
Hahahahahaha!
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#57 2014-11-11 05:31:12
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Is there such a function?
But we are straying way off course in this thread.
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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#58 2014-11-11 05:33:02
Re: Is there such a function?
That, of course, is true.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#59 2014-11-11 19:04:26
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
Speaking of which, here is a question.
Does every non-constant periodic function have a smallest positive period?
Last edited by anonimnystefy (2014-11-11 22:32:21)
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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#60 2014-11-11 19:29:30
Re: Is there such a function?
I do not get it. What is the period of e^x?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#61 2014-11-11 21:01:18
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
It is not periodic, so it does not have a period.
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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#62 2014-11-11 21:03:51
Re: Is there such a function?
Post 59 says nothing about whether the function should be periodic.
Do you know what Gilligan is?
Last edited by Agnishom (2014-11-11 21:10:48)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#63 2014-11-11 21:11:30
Re: Is there such a function?
I do not get it. What is the period of e^x?
If one extends the definition of exp to the complex numbers, then it is 2πi-periodic, making it very useful for parametrising contours in the complex plane.
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#64 2014-11-11 21:14:54
Re: Is there such a function?
Hi zetafunc;
Do you think there is a function that has uncountable infinte strict extremas?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#65 2014-11-11 21:37:43
Re: Is there such a function?
The Weierstrass function comes to mind, but I think that has a countable number of strict extrema. You might be able to show this via a proof by contradiction (i.e. assuming that there exists an uncountable number of strict extrema).
Of course, the Weierstrass function has no such extrema if they are required to be smooth. I'll have to think about this one.
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#66 2014-11-11 21:38:43
Re: Is there such a function?
Thanks for your time.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#67 2014-11-11 22:35:16
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
Well, as it was shown that no function can have uncountable extrema, the Weierstrass function cannot have uncountable extrema.
Fixed post 59:
Speaking of which, here is a question.
Does every non-constant periodic function have a smallest positive period?
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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#68 2014-11-12 00:18:14
Re: Is there such a function?
You can visualise a sine wave whose frequency drops as you go to the right
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#69 2014-11-12 02:41:03
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
Hm, but that function would not be periodic.
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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#70 2014-11-12 03:27:40
Re: Is there such a function?
What does "smallest" period mean? How many periods could be there?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#71 2014-11-12 03:31:05
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
Smallest means exactly what you think it would mean. I don't think there is any ambiguity there.
Well, every periodic function has infinitely many periods.
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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#72 2014-11-12 04:11:30
Re: Is there such a function?
Is the answer to your question yes?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#73 2014-11-12 04:21:44
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
It is, but can you find such a 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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#74 2014-11-12 04:49:44
Re: Is there such a function?
No, I don't think it exists or makessense.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#75 2014-11-12 05:13:53
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Is there such a function?
Well, it certainly does exist.
Think of it this way: If you take any number that's a period, there is a number smaller than that one that's also a period.
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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