Math Is Fun Forum
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#26 2014-08-09 07:57:29
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponential Equation
Maybe, but first you would have to know the truth.
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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#27 2014-08-09 08:00:54
Re: Exponential Equation
Mathematics is a mentally constructed game. There are no truths.
I will rephrase: I am looking for something new, not exactly beautiful
'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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#28 2014-08-09 08:17:32
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponential Equation
Something new?
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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#29 2014-08-09 12:13:19
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
Re: Exponential Equation
I do not know what is the difference between a numerical and a non-numerical solution.
One uses CAS and another doesn't? Not too sure...
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#30 2014-08-09 12:48:31
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponential Equation
I do not know what is the difference between a numerical and a non-numerical solution.
A non numerical solution uses analytical methods to arrive at a solution. The answer will usually be in an exact form. The methods used are theorems, algebraic manipulation etc.
A numerical solution may or may not be in an exact form like π/2. It uses series approximations, iteration, some guessing, plotting, numerical analysis and most of the time a computer.
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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#31 2014-08-09 16:56:00
Re: Exponential Equation
How do I use Newton Raphson to get all the three roots?
'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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#32 2014-08-09 16:59:13
Re: Exponential Equation
You are missing the point. It probably does not exist! The algebraic methods are only for contrived problems. If someone presents you with a school problem or a book one then look for an algebraic idea. But when you make one up, the chances are thousands to one no algebraic solutions exist.
I did not make this one up. I got it from Niharika and she has not made it up.
'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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#33 2014-08-09 20:37:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponential Equation
How do I use Newton Raphson to get all the three roots?
There are many iterative forms other than Newton's. As a matter of fact there are an infinite number of them. Newton originally used his method on polynomials.
I got it from Niharika and she has not made it up.
And who gave it to her then?
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.
Offline