complex mathematica tutorial?


by liskawc
Tags: complex, mathematica, tutorial
liskawc
liskawc is offline
#1
Dec9-07, 08:54 AM
P: 12
so i was kind of wondering if anyone knows of any mathematica tuorials for how to operate with complex numbers (i know how to do it by hand but solving a set of 5 equations all complex just seems suicidal :D )

so any help d be appreciated
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
CompuChip
CompuChip is offline
#2
Dec9-07, 08:59 AM
Sci Advisor
HW Helper
P: 4,301
What about

Solve[{
a^2 + b^2 == -2,
b - 3 c == \[ImaginaryI],
2 c - 3 a == 1 + \[ImaginaryI],
d + 4 == Sqrt[e],
e + a == -3},
{a, b, c, d, e}
]

just as you would solve a normal set of equations?
chroot
chroot is offline
#3
Dec9-07, 02:17 PM
Emeritus
Sci Advisor
PF Gold
chroot's Avatar
P: 10,424
There's really nothing special at all about using complex numbers in Mathematica.

- Warren

CompuChip
CompuChip is offline
#4
Dec10-07, 06:46 AM
Sci Advisor
HW Helper
P: 4,301

complex mathematica tutorial?


By the way, if the equations are linear, there is nothing suicidal about it. Just write them in matrix form and row-reduce (the joy of every student)

Oh, and before I forget, you make the imaginary i in Mathematica by typing I (capital i) or [Escape]ii[Escape]
liskawc
liskawc is offline
#5
Dec10-07, 11:32 AM
P: 12
hmm yeah i wish they were linear

well only problem i really got is that i dont know how to conjugate Exp[ i x] or to make shown as Cosx + i Sinx

P.S equations were:
a1 - a2 + b1 - b2

-(20/197) Sqrt[2555] (a2 - b2) Sqrt[-1 + x] +
20/197 Sqrt[2555] (a1 - b1) Sqrt[x]

-a3 exp[20/197 \[ImaginaryI] Sqrt[2555] Sqrt[-2 + x]] +
b2 exp[-(20/197) \[ImaginaryI] Sqrt[2555] Sqrt[-1 + x]] +
a2 exp[20/197 \[ImaginaryI] Sqrt[2555] Sqrt[-1 + x]]

-(20/197) Sqrt[2555] a3 Sqrt[-2 + x]
exp[20/197 \[ImaginaryI] Sqrt[2555] Sqrt[-2 + x]] +
20/197 Sqrt[2555]
Sqrt[-1 +
x] (a2 exp[20/197 \[ImaginaryI] Sqrt[2555] Sqrt[-1 + x]] -
b2 exp[20/197 \[ImaginaryI] Sqrt[2555] Sqrt[-1 + x]])

(dunno latex so sry for the uglyness)
NeoDevin
NeoDevin is offline
#6
Dec10-07, 01:00 PM
P: 685
you can use ExpToTrig[...] to convert the exponentials to trigonometric functions.

I think there is a conjugation function somewhere...
CompuChip
CompuChip is offline
#7
Dec10-07, 03:01 PM
Sci Advisor
HW Helper
P: 4,301
You'd never guess it... it's called Conjugate[...]
i.e. Conjugate[4 + 3I] gives 4 - 3I
NeoDevin
NeoDevin is offline
#8
Dec10-07, 04:27 PM
P: 685
The mathematica help is pretty good, just do a search in the mathematica help browser for whatever you're trying to do, there is probably a function already designed for it.
liskawc
liskawc is offline
#9
Dec11-07, 08:04 AM
P: 12
i think i actually managed it :D did the trig thingy and then used Conjugate (that one was silly obvious /blush)
and i got a result

thank you :)


Register to reply

Related Discussions
Can you graph complex #'s in Mathematica? Math & Science Software 1
Complex Variables. Complex square root function Calculus & Beyond Homework 0
[SOLVED] Complex Variables. Problem about complex sine. Calculus & Beyond Homework 2
Advice on complex analysis, Riemann surface & complex mappings. Differential Geometry 3
Tutorial on Mathematica reports Math & Science Software 0