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SmithChart.mw
 If I want to plot Smith Chart ,how do I mark a circle of arbitrary values?

then,How do I avoid the polar line to cover other  circle line?

Any body can give me some ideas or better ways to plot Smith Chart?

Thanks.

(Z0)   + I Ω    

(ZL) + I Ω

(ω) rad/s

α dB/m= Np/m

(β) rad/m

Zg

(l)

(z)  l

(Vg)

(u)

output:                                                                 

                

(Γ)                                 

(Γ)

            

 (SWR)  

 

(zL):

           

 (YL): S

  tanhγℓ

  tanβℓ

 (Zin):   Ω

  (zin):

    (γ):

(Vo)(z=0): V

      (Io)(z=0): A

Vo+):      V         

(Vo-):  V 

               (Vs): V

  (Is): A

             ):

  r=     ,   x=   Yo=

``
with(plots):

 

``

 

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````

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``

help("?")

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Download SmithChart.mwSmithChart.mw

 

 V = {(2a + b + c, 3a + b + 2c, 2a + c, b + 7c)|a, b, c ∈ R} forms a subspace of R^4 
 
 Show that {(2, 3, 2, 0),(1, 1, 0, 1),(0, 1, 1, 6)} is an (ordered) basis B for V . 

toally confused on how to do this??..please help!!

Like for instance if I have a formula: ((x^2+y^3)*a1+(x+y^3)*a2)/x^2 and other similar forms as entries for a matrix M, I want to change each entries to a form like this: ((x^2+y^3)/x^2)*a1 + ((x+y^3)/x^2)*a2, what would be the right way to do this?

Thanks for any answers in advance!


restart:

k:=75.11: m:=2: L:=3: with(plots):

Warning, the name changecoords has been redefined

a:=(m*L)+k-1:

b:=k-(m*L):

p:=((((k*m)/snr)^((a+1)/2))*MeijerG([[-a/2,(1-a)/2],[]],[[b/2,-b/2],[-(1+a)/2]],((k*m)/snr)))/(2*sqrt(Pi)*GAMMA(m*L)*GAMMA(k)):

result:=[seq([i,evalf(eval(p,snr=i))],i=1..30)];

result := [[1, -0.6330041673e120], [2, -0.4613210864e64], [3, 0.3668245238e39], [4, 0.1139121839e25], [5, 0.3579973839e14], [6, -206229.5169], [7, -0.3974877718e-1], [8, 0.9674643749e-5], [9, 0.5391296818e-5], [10, 0.3196265870e-5], [11, 0.1976463916e-5], [12, 0.1266745865e-5], [13, 0.8372952650e-6], [14, 0.5684795395e-6], [15, 0.3951633407e-6], [16, 0.2804713655e-6], [17, 0.2027996228e-6], [18, 0.1491013191e-6], [19, 0.1112814841e-6], [20, 0.8419420597e-7], [21, 0.6449585541e-7], [22, 0.4997027323e-7], [23, 0.3912177900e-7], [24, 0.3092406713e-7], [25, 0.2466212008e-7], [26, 0.1983074835e-7], [27, 0.1606835720e-7], [28, 0.1311299491e-7], [29, 0.1077276000e-7], [30, 0.8905591111e-8]]

plots:-pointplot(result);

Error, `plots` does not evaluate to a module

 

 


Download ak_BER_9sep.mw

need to plot these values for various values of i.

any help??

I have been learning to use the Physics package in Maple 18.  I just updated to the latest version of the Physics package to see if it would fix the problem by my results are the same.

When I take a covariant derivative in spherical coordinates it does not appear to have a scale factor such as g_kk below.  

 A_(j;k)=1/(g_(kk))(partialA_j)/(partialx_k)-Gamma_(jk)^iA_i,

This definition of comes from the Mathworld web site.  I think they have a typo such that it should actually read h_k which is the scale factor instead of g_kk which is the metric.  They are related by h_k^2 = g_kk.

Why doesn't Maple's covariant derivative have the scale factor when I am differentiating in spherical coordinates?

Thanks!


k:=0.99: with(RealDomain):

m:=1: Digits:=2:

x:=(Pi*csc(Pi*(k-m)))/(0.693*GAMMA(k)*GAMMA(m));

x := -1.4*Pi*csc(0.1e-1*Pi)

m1:=MeijerG([[-m],[1-m]],[[0,-m,-m],[k-m]],(-m*k)/snr);

m1 := MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)

m2:=MeijerG([[-k],[1-k]],[[0,-k,-k],[m-k]],(-m*k)/snr);

m2 := MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr)

c:=x*((((m*k)/snr)^m)*m1-(((m*k)/snr)^k)*m2);

c := -1.4*Pi*csc(0.1e-1*Pi)*(.99*MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)/snr-.99*(1/snr)^.99*MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr))

with(plots):

Warning, the name changecoords has been redefined

plot(c,snr=0..10);

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

Error, empty plot

 

 


Download capacity_kfading.mw

k:=0.99: with(RealDomain):

m:=1: Digits:=2:

x:=(Pi*csc(Pi*(k-m)))/(0.693*GAMMA(k)*GAMMA(m));

x := -1.4*Pi*csc(0.1e-1*Pi)

m1:=MeijerG([[-m],[1-m]],[[0,-m,-m],[k-m]],(-m*k)/snr);

m1 := MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)

m2:=MeijerG([[-k],[1-k]],[[0,-k,-k],[m-k]],(-m*k)/snr);

m2 := MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr)

c:=x*((((m*k)/snr)^m)*m1-(((m*k)/snr)^k)*m2);

c := -1.4*Pi*csc(0.1e-1*Pi)*(.99*MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)/snr-.99*(1/snr)^.99*MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr))

with(plots):

Warning, the name changecoords has been redefined

plot(c,snr=0..10);

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

Error, empty plot

 

 


Download capacity_kfading.mw

k:=0.99: with(RealDomain):

m:=1: Digits:=2:

x:=(Pi*csc(Pi*(k-m)))/(0.693*GAMMA(k)*GAMMA(m));

x := -1.4*Pi*csc(0.1e-1*Pi)

m1:=MeijerG([[-m],[1-m]],[[0,-m,-m],[k-m]],(-m*k)/snr);

m1 := MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)

m2:=MeijerG([[-k],[1-k]],[[0,-k,-k],[m-k]],(-m*k)/snr);

m2 := MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr)

c:=x*((((m*k)/snr)^m)*m1-(((m*k)/snr)^k)*m2);

c := -1.4*Pi*csc(0.1e-1*Pi)*(.99*MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)/snr-.99*(1/snr)^.99*MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr))

with(plots):

Warning, the name changecoords has been redefined

plot(c,snr=0..10);

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

Error, empty plot

 

 


Download capacity_kfading.mw

k:=0.99: with(RealDomain):

m:=1: Digits:=2:

x:=(Pi*csc(Pi*(k-m)))/(0.693*GAMMA(k)*GAMMA(m));

x := -1.4*Pi*csc(0.1e-1*Pi)

m1:=MeijerG([[-m],[1-m]],[[0,-m,-m],[k-m]],(-m*k)/snr);

m1 := MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)

m2:=MeijerG([[-k],[1-k]],[[0,-k,-k],[m-k]],(-m*k)/snr);

m2 := MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr)

c:=x*((((m*k)/snr)^m)*m1-(((m*k)/snr)^k)*m2);

c := -1.4*Pi*csc(0.1e-1*Pi)*(.99*MeijerG([[-1.], [0.]], [[0., -1., -1.], [-0.1e-1]], -.99/snr)/snr-.99*(1/snr)^.99*MeijerG([[-.99], [0.1e-1]], [[0., -.99, -.99], [0.1e-1]], -.99/snr))

with(plots):

Warning, the name changecoords has been redefined

plot(c,snr=0..10);

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

Error, empty plot

 

 


Download capacity_kfading.mw

require help to overcome this warning. Thanks.

How do I solve Smith Chart...

September 01 2014 jared 5

How do I mark a value on circles

I want to plot Smith Chart and calculate the value Correspond to circles.

Any one can give me some suggestions or better idea to plot Smith Chart.

There are my code:Doc1.doc

 

 

I've been instructed to create an animation showing the changing plots of a single square waveform using 5,10,20,40,80,160,320, and 640 terms in my Fourier series. This is my code right now: 

 

with (plots):
L := [seq(2^i, i = 0 .. 6)];


[1, 2, 4, 8, 16, 32, 64]


animate( plot, [2/((2*n-1)*Pi))*sin((2*n-1)*Pi*x], n=L);
Error, `)` unexpected

 

It doesn't work. Can anyone explain what I'm doing wrong, or how to solve my question?

Hi,

I trying to simulate a force sensor on robot arm, but every time I try something, I get nothing from my sensor, can you help me?

 

Here it's my "design":

 

Also, if I add a rigid body I get this error:

Thanks!

 

 

Dear Maple experts,

 

I would like to visualize the equation -3*x+2*y+3*z=0  and (with other color) 2*y+3*z =0. I used the following commands:

with(Student[LinearAlgebra]):
infolevel[Student[LinearAlgebra]]:=1:
PlanePlot(-3*x+ 2*y + 3*z = 0, [x,y,z], normaloptions=[shape=harpoon], showbasis);

But I do not know how to show at the same time the second equation (2*y+3*z=0 ).

 

How should I proceed? Any hint?

Thanks for your attention,

 

Jean-Jaques

 

I have a great problem with this integral and Maple gives two answers completely different:

 

int(x^-5/3*cos((x-1)*h), x = 0..infinity)

so I get two different results :

 

-(27/8)*h^2+3/2+(27/8)*h^(7/6)*LommelS2(11/6, 1/2, h)

 

or this:

 

-(27/8)*h^2+3/2+(27/8)*h^(7/6)*LommelS1(11/6, 1/2, h)

In the first integral A get Lommels2 and If I get the Integral by using Taylor of cos((x-1)*h) and after that I resum I get Lommels1.

 

Thank you.

 

 

Hi Maple friends.

I am trying to differentiate these:

1. csc(x)/x

2. 3*x^2*cot(x)

From doing it by hand, I am getting:

1. -cosec(x)*(xcot(x) + 1)

2. 6x*cot(x) - 3x^2*cosec^2(x)

But Maple is giving the answer:

1. diff(csc(x)/x, x);

-csc(x)*cot(x)/x-csc(x)/x^2

2. diff(3*x^2*cot(x), x);

6*x*cot(x)+3*x^2*(-1-cot(x)^2)

My answers don't look like Maple's answers. Are they actually the same?

Thanks in advance.

 

If I use a decimal like 0.569840290998053 into a fraction?

Hi Maple friends.

If I have a table of values, how can Maple provide the function?

For example:

x=10,15,20,25,30,35,40

y=2.01,4.87,6.50,9.875,14.00,18.90,24.40

How can Maple find out the y function with respect to x? 

Thanks in advance.

How to make Decimal number in maple by default? 

How to make radian to degrees? Think It is like this "degcos" but I cant see the correct result, because it is not showed in decimals

Why do I have to active all my varibles when I open the document after I have saved it?

 

Regards

Østerbro

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