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Second derivatives...

Started by December 31, 2002 08:57 PM
20 comments, last by LewieM80 22 years, 1 month ago
quote:
Original post by Zipster
Yup.

I probably shouldn't have used the word "assumed", and I should have used the word "function" instead of "operation", but basically I was saying exactly what you said.

Yesterday, I was looking at MathWorld's article on square roots and I thought, doh, Zipster was right

quote:
A square root of x is a number r such that r² = x. Square roots are also called radicals or surds. Any positive real number has two square roots: one positive and one negative.

quote:
Any nonnegative real number x has a unique nonnegative square root r; this is called the principal square root. For example, the principal square root of 9 is 3, while the other square root of 9 is -3. In common usage, unless otherwise specified, "the" square root is generally taken to mean the principal square root.


Anyway, I didn't say any heresy in my last post. To sum it up, 9 has two square roots, but x = sqrt(9) has only one answer, by convention.

Cédric

[edited by - cedricl on January 6, 2003 4:16:37 PM]

[edited by - cedricl on January 6, 2003 4:16:57 PM]
When it comes to math software I personally like MathCAD best. Mathematica seems by a good margin the most powerful in it''s ability to just flat out solve a problem. Matlab seems the strongest when you really need a program more than symbolic manipulation. Scientific Notebook seems strongest for flexibility in entering and formating equations. The strength of MathCad though is the simple, straight forward method. You just write it from top left to bottom right and things work as expected. Certainly when what you really need is just a step up from a TI-89/92 it seems the way to go. As you get more specialized/advanced needs then the others have some real advantages.
Keys to success: Ability, ambition and opportunity.

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