MaplePrimes Questions

Hi,

 

So I'm new to MAPLE and working on plotting graphs for a car suspension system. I've had to differentiate some equations and use other formulas to calculate the peak of 7 different curves. I then need to plot these onto another graph. I've managed to calculate the values but I'm now trying to plot them on the graph using the pointplot command and I'm getting an error. The full code is shown below, any help is appreciated, thanks;

> Y(s):=100/s:
> X2(s):=(Y(s)*(1400*s+135000)*(c2*s+k2))/((49.8*s^2+(1400+c2)*s+135000+k2)*(466.5*s^2+c2*s+k2)-(c2*s+k2)^2):
> with(inttrans):
> x2(t):=unapply( expand( evalf( invlaplace(X2(s),s,t) )),t,c2,k2):

> c2_1:=simplify( x2(t)(t,1000,3000) ):
> D1:=diff( c2_1,t ):
> t_star1:=fsolve( D1,t=0.2..2 ):
> xp1:=x2(t)(t_star1,1000,3000):
> o1:=((xp1-100)/100)*100:

> c2_2:=simplify( x2(t)(t,1250,3000) ):
> D2:=diff( c2_2,t ):
> t_star2:=fsolve( D2,t=0.2..2 ):
> xp2:=x2(t)(t_star2,1250,3000):
> o2:=((xp2-100)/100)*100:

> c2_3:=simplify( x2(t)(t,1500,3000) ):
> D3:=diff( c2_3,t ):
> t_star3:=fsolve( D3,t=0.2..2 ):
> xp3:=x2(t)(t_star3,1500,3000):
> o3:=((xp3-100)/100)*100:

> c2_4:=simplify( x2(t)(t,1750,3000) ):
> D4:=diff( c2_4,t ):
> t_star4:=fsolve( D4,t=0.2..2 ):
> xp4:=x2(t)(t_star4,1750,3000):
> o4:=((xp4-100)/100)*100:

> c2_5:=simplify( x2(t)(t,2000,3000) ):
> D5:=diff( c2_5,t ):
> t_star5:=fsolve( D5,t=0.2..2 ):
> xp5:=x2(t)(t_star5,2000,3000):
> o5:=((xp5-100)/100)*100:

> c2_6:=simplify( x2(t)(t,3000,3000) ):
> D6:=diff( c2_6,t ):
> t_star6:=fsolve( D6,t=0.2..2 ):
> xp6:=x2(t)(t_star6,3000,3000):
> o6:=((xp6-100)/100)*100:

> c2_7:=simplify( x2(t)(t,4000,3000) ):
> D7:=diff( c2_7,t ):
> t_star7:=fsolve( D7,t=0.2..2 ):
> xp7:=x2(t)(t_star7,4000,3000):
> o7:=((xp7-100)/100)*100:

> with(plots):
> pointplot( {[1000,o1],[1250,o2],[1500,o3],[1750,o4],[2000,o5],[3000,o6],[4000,o7]} );
Error, (in pointplot) incorrect first argument
 

P.S. o1 through to o7 represent the peak of the curves and are to be plotted on the y-axis against 1000,1250,1500,1750,2000,3000 and 4000 on the x-axis. I'm using MAPLE V.

 

Thanks to the answers received by mapleprime friends, I have made 2 documents. In both documents, i want the expression to be modified and shown in mathcontainer. In my earlier question  "Slider Commands - "value" or value or both are ok" ,   the command " SetProperty (MathContainer0, value,sin(x)" it worked. In the attached doc, it does not work. The same command in updateplot procedure, works, but incorrectly.

Thanks for clarification.

Ramakrishnan V
 

restart

NULL

Function: Examples: "y = a+b*x+c*x^(2)+...; y = a^(x); y = a sin(bx+c)+d;  y = a f(bx+c) + d"

All valid input values for the function ( i.e. for x value, function exists) is domain. This can be visualized by a point in graph (x,y)

restart

 

               

 

 

               

    
                      

 

                

 

 

                 

 

                             

``

``a

a

(1)

b

b

(2)

c

c

(3)

d

d

(4)

NULL

 

 

           

NULL


 

Download doubt2_MathContainer.mw

In the attached document, I have made use of both commands as follows.

a:=GetProperty(SliderA,"value");

b:=GetProperty(SliderB,value);

Both are working alright. How is it possible? Which one is desirable?


 

a:

b:

For sliderA, GetProperty(SliderA,"value") is used.

For sliderB, GetProperty(SliderB,value) is used.

Both are working alright. How? Which one is more desirable?

``


 

Download Doubt_on_SliderCommand.mw

Thanks for answering.

Ramakrishnan V

This works fine, but I was wondering whether it could be done in a simple way.
 

``

restart; kernelopts(version); interface(version)

`Maple 2018.2, X86 64 WINDOWS, Nov 16 2018, Build ID 1362973`

 

`Standard Worksheet Interface, Maple 2018.2, Windows 10, November 16 2018 Build ID 1362973`

(1)

kollect := proc (p::`+`, y) local x; subs(x = y, collect(subs(y = x, p), x)) end proc

kollect(kollect(kollect(kollect(expand(add(mul(k)*add(k), `in`(k, combinat:-choose([i1, i2, i3, i4], 3)))), i1^2), i2^2), i3^2), i4^2)

(i1*i2+i1*i3+i2*i3)*i4^2+(i1*i2+i1*i4+i2*i4)*i3^2+(i1*i3+i1*i4+i3*i4)*i2^2+(i2*i3+i2*i4+i3*i4)*i1^2

(2)

``


thanks in advance,

Harry

Download nested_comb.mw

Can anyone tell me what is the command to calculate maximum absolute error in mapple.

restart;
A002487 := proc (m) local a, b, n; option remember; a := 1; b := 0; n := m; while 0 < n do if type(n, odd) then b := a+b else a := a+b end if; n := floor((1/2)*n) end do; b end proc; listeinverse := proc (L::list) local i; [seq(op(nops(L)-i, L), i = 0 .. nops(L)-1)] end proc; Brocot := proc (n) local c, i, L, M, r; L := NULL; r := 2^n; L := [seq(A002487(i), i = 0 .. r)]; M := listeinverse(L); c[0] := 0, 1/cat(0); for i to r do c[i] := L[i]/M[i] end do; c[r+1] := 1/cat(0); return [seq(c[i], i = 1 .. r+1)], r+1 end proc; for i from 0 to 4 do B || i := Brocot(i) end do;
                              [   1]   
                        B0 := [0, -], 2
                              [   0]   
                             [      1]   
                       B1 := [0, 1, -], 3
                             [      0]   
                          [   1        1]   
                    B2 := [0, -, 1, 2, -], 5
                          [   2        0]   
                    [   1  1  2     3        1]   
              B3 := [0, -, -, -, 1, -, 2, 3, -], 9
                    [   3  2  3     2        0]   
       [   1  1  2  1  3  2  3     4  3  5     5        1]    
 B4 := [0, -, -, -, -, -, -, -, 1, -, -, -, 2, -, 3, 4, -], 17
       [   4  3  5  2  5  3  4     3  2  3     2        0]    
              rang := proc(M::list, a)  ...  end;;
                    /       1\ 
                rang|B2[1], -|;
                    \       2/ 
                / d        \        
                |--- don(x)| t work;
                \ dx       /        

F := proc (N) local a, b, L; L := NULL; L := sort([op({seq(seq(a/b, a = 0 .. b), b = 1 .. N)})]); return L, nops(L) end proc; F(1); F(2); F(3); F(4);
                           [0, 1], 2
                          [   1   ]   
                          [0, -, 1], 3
                          [   2   ]   
                       [   1  1  2   ]   
                       [0, -, -, -, 1], 5
                       [   3  2  3   ]   
                    [   1  1  1  2  3   ]   
                    [0, -, -, -, -, -, 1], 7
                    [   4  3  2  3  4   ]   
rang(F(3)[1], 2/3);
                        /[   1  1  2   ]  2\
                    rang|[0, -, -, -, 1], -|
                        \[   3  2  3   ]  3/

Hi everyone, I have some symbolic expressions as below:

restart;

local(Zeta);

Zeta := phi+(Ems+I*Eml)/(Ef-Ems-I*Eml)+(3*(1-phi))*((1-g)*alpha^2-(1/2)*g)/(alpha^2-1): 

g := (1/2)*Pi*alpha:

Lambda := (1-phi)*((3*(alpha^2+.25))*g-2*alpha^2)/(alpha^2-1): 

Ec := (Ems+I*Eml)/(1-(1/4)*phi*(1/Zeta+3/(Zeta+Lambda))):

a := simplify(Re(Ec)), assuming positive;

the output of the code maple gives me as 'a' is very long and boring! Therefore I want to make it shorter. Since (alpha<<1), I want to set a constraint as (alpha^(2 and more than 2)=0). How can I put that constraint on the output? thanks

sort(abs(z+a+b*i),z,descending) mean type z is sign + but print -z+5i-5

ran := rand(-5 .. 5); -1; a := ran(); -1; b := ran(); -1; sort(abs(b*i+a+z), z, descending)

abs(-z+5*i-5)

(1)

``


Can you help me?

Thank you very much.

Download abs.mw

help pls how to convert a data surface into a region:

surfdata([[1, 1, .69], [1, 2, .48], [2, 1, .37], [2, 2, .44]], axes = frame, labels = [x, y, z], filled = true)

I've tried to fill the volume below using the option "filled " without any results. I will appreciate any suggestion

Hello

After getting help from users on this list, I wrote an example on how to iterate a discrete map using a given initial condition as follows:

restart:with(ListTools):
NestList := proc (f, x, n::nonnegint, nprec::posint := 10) local R, k; R := rtable(0 .. n, [x]); Digits := nprec; for k to n do R[k] := expand(f(R[k-1])) end do; [seq(R)] end proc:
logistic := proc (x) options operator, arrow; 4*x*(1-x) end proc:
fp := [solve((logistic@@5)(x) = x, x)]:
cfp := allvalues(fp[5]);
nstep:=12:
p := nstep+50; 
aaa := Flatten(map(`~`[Re], evalf(NestList(logistic, evalf(cfp), p)))); 
dat := [seq([i-nstep-1, aaa[i]], i = 1 .. p)]; 
plot(dat, style = pointline, symbol = solidcircle, symbolsize = 4, thickness = 0, view = [default, 0 .. 1]);

The result should be a period 5 and some chaotic data due to machine precision. However the trajectory ejected to infinity. I have tried with a different initial condition, say 0.1, and it worked just fine. Even if the precision is increased, the trajectory (orbit) will eventually eject to infinity.  I couldn't spot what is wrong.

I am running Maple 2017 on linux and on a mac. 

Many thanks

Ed

 

Hello

 

I need help creating a proceadure that does the following:

 

It takes two lists of the same length N   (0<N<inf), one is the numerical pivote list P and the other is a symbolic target list S.

 

Lets say for the simple case of N=3 that we input:

 

P=[22.5,14.3,78.2]

S=[x[1],x[2],x[3]]

 

First the proceadure will sort the Pivote list P, which will result in a local variable Ps=[14.3,22.5,78.2]

 

Next it will generate the rearanged indices of S when it was transformed into Ps, meaning the sort indices rearangment from [1,2,3] in S into [2,1,3] in Ps. This will result in another local variable PSI=[2,1,3]

 

Finally, the proceadure will use PSI to rearange (sort by proxy) the target list P, which in this case will result in the folowing output of [x[2],x[1],x[3]], where x[i] can be either symbolic variable or numeric.

 

So what I need is to use numeric list P to sort a non numeric list S of the same size.

 

I'd appreciate any tips or usefule commands that I can use in this proceadure. 

 

Thanks

 

 

Dear all,
how to code matrix X properly? I want the index of element of matrix is obtained from set S. Since s = {1,5,6}, in matrix X, i should get x11,x15,x16 and so on.
Do you know how to solve this?

Thank you anyway

Hi people,

I could not find anything similar. I hope I do not repeat and that someone may help me on this one.

How can I most elegantly and quickly create a vector (array, matrix, ...) of individual time dependent variables in Maple 17? Something like

 

myArray := ( (elem_1_1(t), elem_2_1(t), ...), (elem_1_2(t), elem_2_2(t), ...), ... )

 

All suggetions appreciated.

the function rationalize simplify rational expression that contains complicated expression but in this example it doesn't work

rationalize(1/sqrt(x))

1/sqrt(x)

it gives to me the same expression why ?

 


 

restart

N := int((x-Q)^m*f(x), x = Q .. infinity)

int((x-Q)^m*f(x), x = Q .. infinity)

(1)

Cost := a*N

a*(int((x-Q)^m*f(x), x = Q .. infinity))

(2)

Dcost := diff(Cost, Q)

a*(int(-(x-Q)^m*m*f(x)/(x-Q), x = Q .. infinity))

(3)

Val := eval(Dcost, [m = 2, f(x) = 1/5000, co = 25, cs = 15])

-a*infinity

(4)

``


 

Download dummy.mw

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