J4James

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12 years, 318 days

MaplePrimes Activity


These are replies submitted by J4James

The idea is to plot the expression in F3 vs x=0..1.

For y we can use output = array([seq(0.1e-1*i, i = -110 .. 110)]).

But I can not make it happen.

Thanks

@Markiyan Hirnyk Thanks for your helpful explanation.

But I have another problem related to PDE.

I used ((`@`(D, D))[1](f))(N,t)=0 for one of the bc but

I got an error.

pde.mw

 

I adopted the approach suggested in an earlier post (http://www.mapleprimes.com

/questions/137320-Plotting-A-System-Of-Ode) for the known results,

but some part of curve is missing.

The output I got is

and the known results are

I increased the Digit, numpoints and also went for high grid size but no luck.

I thought maybe some one  would like to have a look and will help me out.

Thanks

paraplot.mw

@Christopher2222 As you suggested, I have increased the grid size and it gives me a

more clear result. There is a problem of memory allocation, whenever I go beyond 

[500,500]. But this time the results are very good.

contourplot(p(x)(y),x=-4.0..4,y=-1.5..1.5,grid=[400,400],

contours=25,color=black,labels=["x","y"]);

I choose to export the fig from maple as .eps, which gives a better visual output.

Thanks

@Christopher2222 As you suggested, I have increased the grid size and it gives me a

more clear result. There is a problem of memory allocation, whenever I go beyond 

[500,500]. But this time the results are very good.

contourplot(p(x)(y),x=-4.0..4,y=-1.5..1.5,grid=[400,400],

contours=25,color=black,labels=["x","y"]);

I choose to export the fig from maple as .eps, which gives a better visual output.

Thanks

First of all, I would like to thank both of you (@Markiyan Hirnyk and @Preben Alsholm) . 

The reason is that I use another software for just plotting purpose,

which gives me a very nice visual results.

The problem is that  the output produced by maple is not that good

(maybe bcoz of my lack of understanding).

Forexample

contourplot(p(x)(y),x=-4.0..4,y=-1.5..1.5,grid=[100,100]);

 

 

Here you can see, the output is not that clear. And I do not know how to choose 

a more visible color and also how to change the labels and to make it more bright.

 P.S. As you mentined about the  "connecting lines", bcoz of that I can not use the

data more freely (restricted to point style). 

 

 

First of all, I would like to thank both of you (@Markiyan Hirnyk and @Preben Alsholm) . 

The reason is that I use another software for just plotting purpose,

which gives me a very nice visual results.

The problem is that  the output produced by maple is not that good

(maybe bcoz of my lack of understanding).

Forexample

contourplot(p(x)(y),x=-4.0..4,y=-1.5..1.5,grid=[100,100]);

 

 

Here you can see, the output is not that clear. And I do not know how to choose 

a more visible color and also how to change the labels and to make it more bright.

 P.S. As you mentined about the  "connecting lines", bcoz of that I can not use the

data more freely (restricted to point style). 

 

 

I made a mistake and have to be consistent.

Thanks

I made a mistake and have to be consistent.

Thanks

@Markiyan Hirnyk, I executed it many times successfully.

Do not know why you are facing this problem?

@Markiyan Hirnyk, I executed it many times successfully.

Do not know why you are facing this problem?

@Markiyan Hirnyk 

I am using Maple 16 and its working.

``

restart:with(plots):with(plottools):with(stats):

unprotect(D):

a[1]:=0:a[2]:=0.2:a[3]:=-0.15:a[4]:=0.85:

b[1]:=0:b[2]:=-0.26:b[3]:=0.28:b[4]:=0.04:

c[1]:=0:c[2]:=0.23:c[3]:=0.26:c[4]:=-0.04:

d[1]:=0.16:d[2]:=0.22:d[3]:=0.24:d[4]:=0.85:

e[1]:=0:e[2]:=0:e[3]:=0:e[4]:=0:

f[1]:=0:f[2]:=0.2:f[3]:=0.2:f[4]:=0.2:

p[1]:=0.01:p[2]:=0.08:p[3]:=0.15:

N:=10000:x[0]:=0:y[0]:=0:

randomize():

for n from 0 to N do
r[n]:=rand()/(10)^(12);#random number between 0 and 1
if r[n]<p[1] then i:=1 elif r[n]<p[2]
then i:=2 elif r[n]<p[3] then i:=3 else i:=4 fi;
x[n+1]:=a[i]*x[n]+b[i]*y[n]+e[i];
y[n+1]:=c[i]*x[n]+d[i]*y[n]+f[i];
pt[n+1]:=[x[n+1],y[n+1]];
end do:

p:=pointplot([seq(pt[n],n=1..N)],style=point,symbol=
point,labels=['x','y'],tickmarks=[3,3],scaling=constrained,
axes=boxed,view=[-0.75..0.75,0..1.5],color=green);

Parse:-ConvertTo1D, "invalid input %1", PLOT(POINTS([0., .2], [0.8e-2, .370], [0.2160e-1, .51418], [.1407304, .3290192], [.132781608, .474037104], [.1318258510, .5976202741], [.1359567844, .7027041990], [.1436714347, .7918602978], [.1537951314, .8673343957], [.2197843611, .4481469892], [.2047425865, .5721335664], [.1969165412, .6781238279], [.1945040131, .7685285921], [.1960695548, .8454691428], [-.1806080661, .4310992090], [-.1362728878, .5736586502], [.1810653553, .3022471252], [-0.4237118149e-1, .3081393993], [-0.2368992830e-1, .4636133367], [-0.159190559e-2, .5950189333], [0.2244763758e-1, .7058297695], [0.4731368272e-1, .7990573986], [0.7217892625e-1, .8773062415], [0.9644433697e-1, .9428231482], [.1196906124, .9975419025], [.1416386966, 1.043122993], [.1621178118, 1.080988996], [-.2486335766, .4751046758], [-.1923343531, .6137843175], [-.1389328274, .7294100440], [-0.8891650154e-1, .8255558505], [-0.4255679229e-1, .9052791330], [0.3789187e-4, .9711895347], [.2719273859, 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1.204864105], [.2374178158, 1.215229865], [.2504143380, 1.223448672], [.2617901342, 1.229914797], [.2717182060, 1.234955972], [.2803587140, 1.238843848], [.2878586608, 1.241802922], [.2943519786, 1.244018138], [.2999599073, 1.245641338], [.3047915747, 1.246796741], [-.2632088378, .5443973452], [-.2019516183, .6732660969], [-.1447282317, .7803542471], [-0.9180482702e-1, .8690902393], [-.2443244276, .3700847424], [-.1928723738, .5243450081], [-.1429677174, .6534081519], [.2043994401, .3196463500], [.1865253781, .4635234199], [.1770875082, .5865338918], [.1739857377, .6914703077], [.1755466893, .7807903320], [.1804462992, .8566499146], [.1876453509, .9209345754]), COLOUR(RGB, 0., 1.00000000, 0.), STYLE(POINT), SYMBOL(POINT), AXESLABELS(Typesetting:-mi("x"), Typesetting:-mi("y")), AXESSTYLE(BOX), AXESTICKS(3, 3), SCALING(CONSTRAINED), VIEW(-.75 .. .75, 0 .. 1.5))

(1)

T:=6:M:=10*T:epsilon:=3/(2*T);delta:=1/epsilon;

1/4

 

4

(2)

#gr:=seq(seq(polygonplot([[-0.75+epsilon*i,epsilon*j],[-0.75+epsilon*(i+1),epsilon*j],[-0.75+epsilon*(i+1),epsilon*(j+1)],
[-0.75+epsilon+i,epsilon*(j+1)]]),i=0..M),j=0..M):

Error, `]` unexpected

 

#display({p,gr});

display(p);

 


Download executedbff.mw

@Markiyan Hirnyk 

I am using Maple 16 and its working.

``

restart:with(plots):with(plottools):with(stats):

unprotect(D):

a[1]:=0:a[2]:=0.2:a[3]:=-0.15:a[4]:=0.85:

b[1]:=0:b[2]:=-0.26:b[3]:=0.28:b[4]:=0.04:

c[1]:=0:c[2]:=0.23:c[3]:=0.26:c[4]:=-0.04:

d[1]:=0.16:d[2]:=0.22:d[3]:=0.24:d[4]:=0.85:

e[1]:=0:e[2]:=0:e[3]:=0:e[4]:=0:

f[1]:=0:f[2]:=0.2:f[3]:=0.2:f[4]:=0.2:

p[1]:=0.01:p[2]:=0.08:p[3]:=0.15:

N:=10000:x[0]:=0:y[0]:=0:

randomize():

for n from 0 to N do
r[n]:=rand()/(10)^(12);#random number between 0 and 1
if r[n]<p[1] then i:=1 elif r[n]<p[2]
then i:=2 elif r[n]<p[3] then i:=3 else i:=4 fi;
x[n+1]:=a[i]*x[n]+b[i]*y[n]+e[i];
y[n+1]:=c[i]*x[n]+d[i]*y[n]+f[i];
pt[n+1]:=[x[n+1],y[n+1]];
end do:

p:=pointplot([seq(pt[n],n=1..N)],style=point,symbol=
point,labels=['x','y'],tickmarks=[3,3],scaling=constrained,
axes=boxed,view=[-0.75..0.75,0..1.5],color=green);

Parse:-ConvertTo1D, "invalid input %1", PLOT(POINTS([0., .2], [0.8e-2, .370], [0.2160e-1, .51418], [.1407304, .3290192], [.132781608, .474037104], [.1318258510, .5976202741], [.1359567844, .7027041990], [.1436714347, .7918602978], [.1537951314, .8673343957], [.2197843611, .4481469892], [.2047425865, .5721335664], [.1969165412, .6781238279], [.1945040131, .7685285921], [.1960695548, .8454691428], [-.1806080661, .4310992090], [-.1362728878, .5736586502], [.1810653553, .3022471252], [-0.4237118149e-1, .3081393993], [-0.2368992830e-1, .4636133367], [-0.159190559e-2, .5950189333], [0.2244763758e-1, .7058297695], [0.4731368272e-1, .7990573986], [0.7217892625e-1, .8773062415], [0.9644433697e-1, .9428231482], [.1196906124, .9975419025], [.1416386966, 1.043122993], [.1621178118, 1.080988996], [-.2486335766, .4751046758], [-.1923343531, .6137843175], [-.1389328274, .7294100440], [-0.8891650154e-1, .8255558505], [-0.4255679229e-1, .9052791330], [0.3789187e-4, .9711895347], [.2719273859, 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[.2817655157, .6761550838], [.2665468916, .7634612006], [.2571033059, .8382801448], [.2520690158, .9022539909], [.2503488230, .9568331317], [.2510698249, 1.003294209], [.2535411196, 1.042757285], [.2539408719, .5161824395], [.2364970387, .6285974387], [.2261663804, .7248479414], [.2212353410, .8070740950], [.2203330036, .8771635672], [.2223695958, .9367757120], [.2264851849, .9873645714], [.2424893023, .4958536452], [.2259500528, .6117760263], [.2165285860, .7109716203], [.2124881629, .7956647339], [.2124415279, .8678154973], [.2152879186, .9291455116], [.2201605513, .9811621682], [-.2110700534, .4664926038], [-.1607498412, .6049615153], [-.1124389044, .7206472816], [-0.6674717748e-1, .8170477456], [-0.2405319104e-1, .8971604709], [0.1544120646e-1, .9635485279], [0.5166696661e-1, 1.018398600], [0.8465286562e-1, 1.063572131], [.1144978210, 1.100650197], [.1413491557, 1.130972755], [.1653856925, 1.155672876], [.1868047536, 1.175706517], [.2058123013, 1.191878349], [.2226155901, 1.204864105], [.2374178158, 1.215229865], [.2504143380, 1.223448672], [.2617901342, 1.229914797], [.2717182060, 1.234955972], [.2803587140, 1.238843848], [.2878586608, 1.241802922], [.2943519786, 1.244018138], [.2999599073, 1.245641338], [.3047915747, 1.246796741], [-.2632088378, .5443973452], [-.2019516183, .6732660969], [-.1447282317, .7803542471], [-0.9180482702e-1, .8690902393], [-.2443244276, .3700847424], [-.1928723738, .5243450081], [-.1429677174, .6534081519], [.2043994401, .3196463500], [.1865253781, .4635234199], [.1770875082, .5865338918], [.1739857377, .6914703077], [.1755466893, .7807903320], [.1804462992, .8566499146], [.1876453509, .9209345754]), COLOUR(RGB, 0., 1.00000000, 0.), STYLE(POINT), SYMBOL(POINT), AXESLABELS(Typesetting:-mi("x"), Typesetting:-mi("y")), AXESSTYLE(BOX), AXESTICKS(3, 3), SCALING(CONSTRAINED), VIEW(-.75 .. .75, 0 .. 1.5))

(1)

T:=6:M:=10*T:epsilon:=3/(2*T);delta:=1/epsilon;

1/4

 

4

(2)

#gr:=seq(seq(polygonplot([[-0.75+epsilon*i,epsilon*j],[-0.75+epsilon*(i+1),epsilon*j],[-0.75+epsilon*(i+1),epsilon*(j+1)],
[-0.75+epsilon+i,epsilon*(j+1)]]),i=0..M),j=0..M):

Error, `]` unexpected

 

#display({p,gr});

display(p);

 


Download executedbff.mw

@Markiyan Hirnyk , please see the attached file.

Thanks

bff.mw

@Markiyan Hirnyk , please see the attached file.

Thanks

bff.mw

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