Math Forum / Mathematics / Undergraduate Math / January 2009

How can one show that the Euclid's algorithm requires at most
floor{log_2(x)+log_2(y)}divisions in order to find gcd(x,y) ?  What would be
an example of an algorithm that used at most floor{sqrt(x)}divisions to find
a proper factor of x or deduce that x is prime?  Any help would ...

Anyone know if there's anyway to plot the Folium of Descarte using
Geometer's Sketchpad?    If not, is there any cheep software that can
do it?

Several months ago I found a general solution to binary quadratic
Diophantine equations.  In retrospect it kind of makes sense that with
that first in human history, a solution to the factoring problem might
kind of spontaneously emerge, but this thing I'm considering now is so

show that 2^n is O(n!)
! = factorial
2^n = 2 to the power n

order the growth rates of the following functions , from lowest to
highest
(functions are in image below)
http://www.oniva.com/upload/1356/math.jpg

I'm trying to e-mail you to ask you for the solutions for this book,
but the e-mail masking is not allowing me to unlock your e-mail
address...
Introduction to Microelectronic Fabrication: Volume 5 of Modular

January 23, 2009
How is the math done in the following situation?
You wish to cut down an 8-foot sheet of plywood from 96 inches to
92-5/8 inches.  You position the hook of your steel tape measure on

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Hi,
I'm very interested in statistics (and probability too). I would like to become reasonably knowledgeable in this area.
I'm particularly drawn to prediction using multiple regression etc.  
The problem is that I quit school very early and thus I'm not able to solve (even ...

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The problem requires taking the region enclosed by the line x=2, the x
axis, the y axis, and the curve y=2e^x + 3x and rotating it around the
y axis to produce a 3D shape. The solution needs to include a definite
integral and antiderivatives.

Complicated and abstruse mathematical texts that take a lot of effort
to decipher give many of you in "pure math" at least the feeling that
with all that effort, you must have learned something important, but
over a hundred years ago a subtle error entered your field.  But it is

i am having some problem in ques. no. 6.14 (design of thermal systems)
of design of thermal system by W.F.Stoecker(third edition).if u have
the solution please send me.its very urgent
thanks

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i)  "Let p be an odd prime not equal to 5.  Prove there exists an integer n
such that n divides p-1 and 10^n = 1 (mod p)."
I have proved that if n | p-1 then 10^n = 1 (mod p) but I haven't proved
that there exists an n that divides all p-1 which would then complete the