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#1 Re: Euler Avenue » Whats a fast way to find generator g in Zp? » 2011-01-03 12:35:34

Darn. Oh well. I will keep on searching. Thanks for looking!

#3 Re: Euler Avenue » Whats a fast way to find generator g in Zp? » 2011-01-03 10:35:12

10 would be {1, 3, 7, 9}. However, since 10 is not prime, theres no need for it

#5 Re: Euler Avenue » Whats a fast way to find generator g in Zp? » 2011-01-03 08:35:03

Hi bobbym. Its been a long time

totient(x) = {1,2, 3,...,etc.}, for some number (ignore prime p for now)
im looking for integer g (that is in totient(x) ) such that:
the set of {for 1 <= i < x: g ^ i mod x (removing all duplicates)} will equal the totient of x

since x = p = prime, totient(p) = {1,2, ... p-1}
since p is big, testing all those values will take forever

#6 Euler Avenue » Whats a fast way to find generator g in Zp? » 2011-01-03 08:22:42

calccrypto
Replies: 9

Is there some way to find a generator for a large prime number without checking each number individually?

#7 Re: Help Me ! » Line Integral with changing variables » 2010-10-12 15:32:09

no i meant instead of

f(x,y,x) = scalar value like xyz

the equation is

f(x,y,z) = vector, like (xy,yz,xz)

but i think i got it

#8 Help Me ! » tangent plane of equation with more outputs than inputs » 2010-10-12 00:36:37

calccrypto
Replies: 1

how do you find the tangent plane of an equation like r(u,v) = (e^u, e^v,uv) at (1,1,0)? and i forget: would i use (u,v) = (0,0), or would i use (1,1,0) for the point? if i do use (1,1,0), what do i take the last derivative (d(uv)/d?) in respect to?

#9 Re: Help Me ! » Line Integral with changing variables » 2010-10-11 23:15:54

i meant a generic question. instead of xyz^2, say the output of f was something like (xy,yz,xz) or something. then what?

#11 Re: Help Me ! » Line Integral with changing variables » 2010-10-06 23:22:45

No wonder! I forgot to square the z component.

#12 Re: Help Me ! » Line Integral with changing variables » 2010-10-06 12:45:38

oh.. thats what you meant in that previous post. wow. i fail. shoot me

#14 Re: Help Me ! » Line Integral with changing variables » 2010-10-06 09:15:50

i just replaced the components of r for (x,y,z) and multiplied.

and yep. I forgot to put in the limits, which are 0<= t <= 1 like you guessed

#15 Re: Help Me ! » Line Integral with changing variables » 2010-10-06 06:55:02

Hi bobbym! I got this question:

C modeled by  r(t) = (t, 3t^2, 6t^3)
and
f(x,y,z) = x y z^2
compute the line integral of f along C as modeled by r(t)

so far, i have only gotten r'(t) = (1, 6t, 18t^2) and f(t) = 18t^6. I dont know how to continue. all i know is the answer is 864/5

#16 Help Me ! » Line Integral with changing variables » 2010-10-06 01:07:47

calccrypto
Replies: 16

How do you change variables properly to get the line integral of any f(x,y,z) on any curve C modeled by r(t)??? Im so lost!

#17 Help Me ! » Limits of integration for cylindrical and spherical coordinates » 2010-10-01 10:34:10

calccrypto
Replies: 0

How do you get the limits of integration for cylindrical and spherical coordinates if the restrictions of the graphs are equations? how do you even differentiate between when either one should be used? Im getting problems like

sometimes im not even given the equation. Sometimes I am, such as

Im supposed to use the jacobian to change this equation around and get some answer

#19 Re: Help Me ! » What is second partial derivative? » 2010-09-14 10:29:13

Ok. When/If i find out, i'll post the answer here

#20 Re: Help Me ! » What is second partial derivative? » 2010-09-14 09:55:02

Thanks for the advice bobbym. i guess for the moment, i'll live with that

#21 Re: Help Me ! » What is second partial derivative? » 2010-09-14 09:16:42

i dont mean acceleration. i know what acceleration is. i just dont get how fxy works. i know to take the derivative with respect to x and then y, but how do you show that in the real world? it seems weird, going in 2 different directions on a plane with scalars

#22 Re: Help Me ! » What is second partial derivative? » 2010-09-13 23:25:03

Thanks!

Hi bobbym!

Now... what does fxy(x,y) mean in terms of acceleration? i cant seem to imagine it

#23 Help Me ! » What is second partial derivative? » 2010-09-13 06:11:22

calccrypto
Replies: 12

if i have some function f(x,y), what is fxx(x,y) (i dont mean just a deriv(deriv(f(x,y))) explanation)? is it still "acceleration", like physics projectile motion <-> acceleration, or is there some other geometric/physical thing that is associated with explaining what fxx is?

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