memdream

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These are questions asked by memdream

hello experts,

I was using maple for a physical  problem,

and things turned very complicated with a equation with bessel function in it,

like this BesselI(1, (0.9067480359e-2+0.9067480359e-2*I)*sqrt(f))andBesselI(0., (0.9067480359e-2+0.9067480359e-2*I)*sqrt(f)),

which include complex,

the whole equation is as followed:

the variable is f and RV,,dependent variable is RV.

how am I supposed to plot RV when f=100..4000?

it is certain RV has real part and imaginary part,maybe i need a 3Dplot?

please let me know if you have any idea.

best regards,


 

-7.873519774*10^18*RV^4+(2.676513624*10^12-3.842712573*10^15*(-1)^(3/4)*BesselI(1, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))/(Pi*sqrt(f)*BesselI(0, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))*(4+623.8617593*(-1)^(3/4)*BesselI(1, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))/(BesselI(0, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))*sqrt(f)))))*RV^2+80864.83845+1.440831316*10^9*(-1)^(3/4)*BesselI(1, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))/(Pi*sqrt(f)*BesselI(0, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))*(4+623.8617593*(-1)^(3/4)*BesselI(1, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))/(BesselI(0, 0.1282335370e-1*(-1)^(1/4)*sqrt(f))*sqrt(f)))) = 0
 

want to plot the relationship between RV and f,but how?

 

complexplot(RV, f = 100 .. 4000, labels = ["Re", "Im"])

complexplot(RV, f = 100 .. 4000, labels = ["Re", "Im"])

(1)

NULL


 

Download bessel_in_equation.mw

 

can Maple solve bessel function by itself?

Or it seems i need to work out the solving process on myown?

my function is just like this, a simple one

please let me know if yo have any idea about it.

best regards

memdream

 

hello

as described in the title

what i want to define are these 

 

but i get this

as the result of expression of

I wonder what I should do to get this?

i.e define them at the same time.

if anybody knows, please help me.

best regards,

Memdream.

hi, learners of maple like me, i was handling a project,but i came across this problem,and i began to doubt the accuracy of maple-plot,,,

very simply expression,result3,changing with the parameter f,

i first plot the f from 100 to 5000,

than i need to watch closer,

so i change the define domain of parameter f, plot f from 100 to 1000,  

and the result of plot definitely  differs from the previous one. 

low vally in the first figure (f in the scale of 100-1000),disappears! that's insane...

 

you can see below,

anyone see it, can you give me some clue? i really do not understand this. why ,why why,,

result3 := 3.269235506947450*10^11*sqrt(-1/(0.975698207102e-3*cos(0.19042716640833e-1*f)^2*cos(0.9521358320417e-2*f)^4-0.975698207102e-3*cos(0.19042716640833e-1*f)^2*cos(0.9521358320417e-2*f)^2+5.099915851388520*10^(-8)*cos(0.9521358320417e-2*f)^4-5.099915851388520*10^(-8)*cos(0.9521358320417e-2*f)^2+1.311634114532540*10^12*sin(0.19042716640833e-1*f)*sin(0.9521358320417e-2*f)*cos(0.9521358320417e-2*f)*cos(0.19042716640833e-1*f)+4.405792916762340*10^26*cos(0.19042716640833e-1*f)^2-4.406861706842330*10^26))

326923550694.745*(-1/(0.975698207102e-3*cos(0.19042716640833e-1*f)^2*cos(0.9521358320417e-2*f)^4-0.975698207102e-3*cos(0.19042716640833e-1*f)^2*cos(0.9521358320417e-2*f)^2+0.509991585138852e-7*cos(0.9521358320417e-2*f)^4-0.509991585138852e-7*cos(0.9521358320417e-2*f)^2+1311634114532.54*sin(0.19042716640833e-1*f)*sin(0.9521358320417e-2*f)*cos(0.9521358320417e-2*f)*cos(0.19042716640833e-1*f)+0.440579291676234e27*cos(0.19042716640833e-1*f)^2-0.440686170684233e27))^(1/2)

(1)

plot(result3, f = 100 .. 5000);

 

 

plot(result3, f = 100 .. 1000);

 

 

 

``


 

Download test.mw

 

 

 

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