MaplePrimes - Questions and Posts tagged with complex

How to format columns with one complex number?

Manu — Mon, 07 May 2012 21:41:40 Z

Dear All,

Further to my previous question on this forum "How to write data from a matrix while choosing the format?", I would like to update it by adding a complex number. What is the easiest way to deal with that?

Here is the file (that does not compile): writedataMatrix.mw

> driver := proc () local A, B, x, f, g, i, j, format, fd:

A := Matrix(3, 3):
f := 1-2*I:
g := evalf(sin((1/5)*Pi)):

Testing for a complex number

Ronan — Sun, 06 May 2012 22:05:44 Z

I need to test a list of numbers to find if any of them are complex. if a complex is found then remove that complete row from the list. the potential complex numbers in my list are a, b and c. b is complex i.e has a non zero imaginery part in row 1 so only row 1 should get deleted. the a b and c were originally generated from the arcsin function. Would appreciate help on this. I know it should be simple enough to do. Thanks in advance.

How do I compute L-functions in Maple?

barry314159 — Thu, 03 May 2012 05:01:49 Z

For L a given L-function (such as the Ramanujan-tau Dirichlet series) I would like to compute L(s) at 2.5*10^5 values of s equidistributed in a square region of the complex plane in a reasonably short time (meaning, say, less than an hour.) Is there a Maple function that will do this, either in the original software or available on the web?

Complex Number - Engineering Form?

andrewfortune — Sat, 14 Apr 2012 22:59:41 Z

Hi,

Is it possible in Maple to output a complex number using j (or i) instead of I ?

thanks,
Andrew

How do I do a Complex Mapping? E.g. Finding the image under a certain mapping.

VBLUES — Fri, 13 Apr 2012 04:25:19 Z

I want to be able to check my work and see if I have indeed got the correct mapping.

Say I want to find the image of a circle |z| = 3 in the complex plane under the mapping: w = 6/z

How would I do this?

Thanks

Complex(polynomial) mapping

quachtinh — Mon, 09 Apr 2012 09:07:50 Z

Hi guys,

I want to know how to write 2 procedures in order to construct 2 different complex mappings with polynomials of degree 4 and 5 and tell what the pictures really mean.

Can anyone suggest me or give me hints on how to do this?

One way I know is to construct meldelbrot as follow:

mandelbrot:=proc(x,y)

localz,ct,xn,xnold,yn,iter:

Iter:=25:Digits:=10:xn:=x:yn:=y:

for ct from 1 to iter while xn^2+yn^2

Conjugate addition and multiplication

AliKhan — Wed, 04 Apr 2012 14:41:45 Z

Hi,

I am trying to solve the following equation:

S:=(A+jB)*conjugate(C+jD)

where

A, B, C and D are all sum of sins and cosines.

Should I use COMBINE first and then solve, I am not getting what I want. hope there is a way to evaluate this function.

Looking forward to your kind replies

Thanks in advance

A.Q

Soton

How to find roots of complex number

french_fries — Fri, 30 Mar 2012 12:34:24 Z

So the question is to find complex number W from :

but I want the answer in polar form using e (Euler's number).

The question is specific to ask for the complex number W that lying in the first quadrant and having the largest possible real part. I calculated and got :

Export complex number into excel

serena88 — Wed, 29 Feb 2012 12:39:37 Z

Hi, I tried to export my answers into an excel file, but my numbers are all complex numbers.

It says "cannot export an rtable with complex values". How can I go about it?

Please advice. Many thanks.

ln(x) assuming x<0

Ratch — Mon, 09 Jan 2012 22:59:58 Z

Why doesn't Maple evaluate ln(x) assuming x<0 to ln(-x) instead of ln(x). I know that it can evaluate negative operands into complex numbers, but sometime I would just like it to say ln(-x). It seems to work OK for sqrt(x) assuming x<0.

Ratch

dsolve system

sama — Mon, 21 Nov 2011 22:08:12 Z

Hello guys,

I am unfamiliar with maple and have problems with dsolve complex system:

dz*_i/dt=sum(sum(z_i-z_j),j=1..2),i=1..2).

where i not equal to j and z* is conjugate(z).

here is my code:

for i from 1 to 2 do

summ(i)=0

od;

for j from 1 to 2 do

for i from 1 to 2 do

if i <> j then

summ(i)=summ(i)+(z_j(t)-z_i(t));

end if

od;

for j from 1 to 2 do

Physics[Dagger] simplification, non commuting variables

itsme — Thu, 27 Oct 2011 22:35:59 Z

Hi:

I am trying to use the Physics package to help me deal with non-commuting operators, but having some problems when trying to simplify expressions.The following should explain what i mean:

################

restart:
with(Physics):
# 'a' represents a quantum operator
Physics[Setup](noncommutativeprefix={a}, mathematicalnotation = true);

#we can try to expand to see that a and Dagger(a) do not commute!
expand((2*a+Dagger(a))^2);

dB magnitude spectrum.

herclau — Tue, 20 Sep 2011 15:27:33 Z

I Presented problems for the plot "DB magnitude spectrum."
The structure of vector data spec has the following configuration,Float (-infinity), inside.

N := 64;
T := 1;

f := .25;
A := 1;
phi := 0;
n := Vector(N, -> i-1, datatype = complex[8]);

x := cos~(2*Pi*n*f*T);

X := DiscreteTransforms[FourierTransform](x, normalization = none);...

Complexplot help

Twoacross — Sun, 18 Sep 2011 04:30:55 Z

So im working on this question right now:

 Using “complexplot”, show all of the cube-roots of -8i (you will first have to 
find the principle cube root, convert to polar form, and then add appropriate 
propportions of 2*Pi to the argument to find all other roots, using Maple for all 
calculations).

Im going to attach my attempt to this post, all feedback is greatly appreciated and if im doing something wrong, if someone could lead me in the right direction.

Numbers and the Debut of the Algebra of Quaternions

Christ — Fri, 26 Aug 2011 09:46:51 Z