Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20090813 09:44:20
Define "Simplification"I am trying to make a master page on Simplification, and want to give clear and easy instructions to learners. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20090813 22:54:40
Re: Define "Simplification"Hi MathsisFun;
I would prefer the factored form also. It gives more info and uses less operations.
This one really looks like the first is simpler.
Like the √2/2 better and it's a bit more numerically stable. Last edited by bobbym (20090813 23:00:26) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20090815 10:05:23
Re: Define "Simplification"Thanks bobby. Good reply. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20090815 16:36:52
Re: Define "Simplification"hmm it's kinda hard to define... And take for example If you wanted the asymptotes you would go for but if you wanted to integrate you would go for Even with , while most people would say that is the most simplified form, that's only because it's easier to evaluate. If we aren't worried about evaluating, but simply math theory, then there's there's no reason why we couldn't say is more simplified. #5 20090817 11:58:45
Re: Define "Simplification"Good points. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #6 20090817 12:11:45
Re: Define "Simplification"Hi MathsisFun; or Now, supposing you wanted to evaluate them numerically so you would know how much something costs. The first one certainly is shorter and simpler but the second one which is a truncated Taylor series of e^x allows you to calculate values like e^(1/2) in your head. While the first one is useless for computation. Which is better 3.14159265... or the symbol π? Depends on what you require. I think you can only suggest some general guidelines. Last edited by bobbym (20090817 12:22:17) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20090817 14:38:48
Re: Define "Simplification"Well ... I have put some of these ideas down in concrete form, so we have something to discuss. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #8 20090817 16:55:55
Re: Define "Simplification"Hi MathsisFun; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 