abstractmath.org

help with abstract math

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Posted 25 November 2008

 

PARAMETERS

This page has not been written.  The PlanetMath article will give you a clue.  The Wikipedia and MathWorld articles are yucky for basic learning purposes.  (*sigh*) Do I have to do everything myself?

 

Parameters

(c) “The largest region leaves in one iteration and is bounded by the curves

                                                                                                                                                                                    

which satisfy .”

The phrase  here means that you are looking at two equations in two real variables x and a, or at one equation in three variables, x and a real and i varying over a finite set.

 

(d) “Taking x = 2 in the preceding equation, we obtain , so that

                                                                                                                                                                                    

and we see that all the roots lie in the disk .”

Here, the constraint means that  for all n > 2, where n is by convention an integer.  This can be seen as an infinite number of distincts inequalities, but of course it can also be seen as one inequality with one real variable and one integer variable.

Appendix

Graph of  as a function of a and b. Return