I don't know how to simplify the expression A/B in the worksheet below.  I know that it should simplify to exp(I*Pi/3).  How do I lead Maple to discover that result without telling it the solution ahead of the time?  All variables other than A and B are real.

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How to find the closed formula for the sum of this sequence:

sum = n + n/2 + n/4 + n/8 + ... + 1

If n is 2 in some power, then the sum should be 2*n - 1. How to get this answer using Maple?

can anyone explain to me the  meaning of this result ?trial.mw

Is possible to solve this differential equation by maple?

thaks...

Hello everyone!

I have a vector field defined in spherical coordinates and I want to plot a sphere colored according to the magnitude of the vector field on that sphere. Is there a simple way to do this?

Many thanks in advance!

Hello

I wonder how I could use Maple commands to do the following:

An irrational number, ir, (a huge symbolic expression as a result of iterating a discrete map) is converted to single precision (Real16) and then to hexadecimal as a string. Example: using matlab it will be something like single(ir)=0.25(float representation) =3e800000 (hexadecimal representation).

I am not sure if single precision is available in Maple 2017 but I guess Real32, Real64 and Real128 are.

Once the hexadecimal representation is acquired I need to convert it back to Real16, Real 32 and etc.

Your help is much appreciated.

Many thanks

Ed

I am trying element-wise addition of two arrays where one array is Cauchy distribution. but this calculation using much memory. Please help.

CAUCHY_DISTRIBUTION.mw

Dear members, Can anyone help me, how to adjust the spacing between lines, sections in adjacent paragraphsand sections within a paragragraph.

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Hi,

How do I display the area between two curves? ( for example the area in sin and cos?) I tried with the option 'filled ' and 'display'

Deuxcourbes.mw

Hi,

I'm using the eBookTools package to convert a .mw file as a chapter into a PDF file. However, a problem arises when I convert a document with a few repeated plotting commands (such as plot(x^2)). The issue is that in the final PDF the images of the various plots overlap, and that the individual plots can't be clearly seen. Is there a resolution to this?

Thanks,
Bart

I am generating gaussian distribution by decreasing standard deviation but the distribution generation is getting very slow.

GAUSSIAN.mw

A book I am reading has the following

I cannot produce this in Maple 2017. Please tell me where I go wrong. Thank

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the following maple code is to solve the SYS of ODE x',y',z'

then plot z' agianst t

i got confused each plot give me zero

N:=1:M:=sqrt(N*(N+1)):N1:=1+N:w:=10:f:=1;
                             f := 1

ini1:= x(0)=0.5,y(0)=0.5,z(0)=0;
            ini1 := x(0) = 0.5, y(0) = 0.5, z(0) = 0
var:={x(t),y(t),z(t)}: 
dsys:={diff(z(t),t)=-(N1+M*cos(2*w*t))*z(t)-1+f*(x(t)+y(t)), diff(x(t),t)=-(N1-I*w-2*M*exp(-2*I*w*t))*x(t)-f*(N1+(z(t)))-2*f*M*exp(2*I*w*t),diff(y(t),t)=-(N1+I*w-2*M*exp(2*I*w*t))*y(t)-f*(N1+(z(t)))-2*f*M*exp(-2*I*w*t)}:
zd:=diff(z(t),t);
                                d      
                         zd := --- z(t)
                                dt     
res:=dsolve(dsys union {x(0)=0.5,y(0)=0.5,z(0)=0},numeric,output=listprocedure):
tit:=sprintf("F=%g,N=%g",f,N):

P1:=plots[odeplot](res,[[t,(zd)]],0..6,axes=boxed,titlefont=[SYMBOL,14],font=[1,1,18],color=blue,linestyle=1,tickmarks=[3, 4],font=[1,1,14],thickness=2,titlefont=[SYMBOL,12]);

I'm trying to plot a graph of cos(2*theta)*omega*t+2*(sin(theta))^2*sin(omega*t)=0 in Maple (For values of theta between 40 and 88 degrees roughly, with a fixed value of omega). I have substituted x=omega*t and tried to solve, but as I'm sure you can tell it is not outputting the graph I'm after, I was hoping somebody would be able to tell me where I am going wrong. Thanks.

restart;
v := 145000;
thetavn := (1/6)*Pi;
omegac := .1;
s := cos(2*thetabn)*x+2*sin(thetabn)^2*sin(x);
plots:-implicitplot(s = 0, thetabn = 43*Pi*(1/180) .. 88*Pi*(1/180), x = -200 .. 200, tickmarks = ["piticks", "decimalticks"], gridrefine = 4, size = [800, 600]);

When generating gaussian distribution I am getting the following error. Please help. Thank you

GAUSSIAN.mw