Maple 2015 Questions and Posts

These are Posts and Questions associated with the product, Maple 2015

Dear all!

Hope everyone is fine with everything! I want to simplify the following expression

diff(u(y, t), t) = (A^2/nu)^(1/3)*nu*(diff(u(y, t), y, y))/(A/nu^2)^(2/3)-(A^2/nu)^(1/3)*sigma*B^2*u(y, t)/rho+(A^2/nu)^(1/3)*g*beta*q2[w]*sqrt(nu^2/A)*T(y, t)/((nu*A)^(1/3)*k)+(A^2/nu)^(1/3)*g*beta*T[infinity]/(nu*A)^(1/3)-(A^2/nu)^(1/3)*g*beta*V[infinity]/(nu*A)^(1/3)+(A^2/nu)^(1/3)*g*beta1*C(y, t)/(nu*A)^(1/3)-(A^2/nu)^(1/3)*g*beta1*C[infinity]/(nu*A)^(1/3)

I above the red terms need to simplify i.e., we can add the power of A, nu etc. But maple can't do that please fix my problem. For more detail I attach my maple file.

simplify.mw

 

Dearz!!!

Hope you all are fine. I am stuck to find the integration in the attachment. Please see that put your valuable suggestion to fix my problem. Thanks in advance

Dear all!

Hope everything going fine. I want to transfrom the derivative diff(u, y) into diff(U, Y) as disscussed in attached file. Please see the attachment and fix the problem. Thanks in advance

Transform.mw

How can i find the smallest n such that

using maple 2015?

I've tried using the solve command however this doesnt return a numerical value, any help would be great :)

the final value of an equation is displayed in the form of combination of many values like following

-503.3433660*1[3]^2-2068.935708*1[4]^2-591.1244880*1[4]*1[1]-443.3433660*1[1]^2

I prefer to display it identically just an absolute value like 5.66

please help me how do that

Question:I've defined wave, but it's after that it gets sticky. This is my attempt:As you can see, not very fruitful. I have tried wave(x=-infinity..infinity, t=-infinity, infinity) which returns an error. 

When i sub in wave(1,1) i get an answer, or any other number for that matter, but I'm not sure how to actually aswer this question. 

Any and all help appreciated

Thank you

Question: You will observe that the two curves intersect at one or more places in the displayed region. Use fsolve to find the (x; y) coordinates of all the points of intersection in this region.

In theory this question has a very simple answer, but i am struggling no end finding it. 

P1 := y^2 = x^3+x^2

P2 := y = 2*x+1

This is what the graph looks like when plotted, and as we have already got the two equasions assigned as H and J, i just type in fsolve({P1,P2})? 

Apparently not, as this returns {x = 4.048917340, y = 9.097834679}, which is correct, but is only one of three points of intersection, and just so happens to be the one not shown in my plot (although it is still a valid point of intersection) and i need the ones within the region i have set for the graph (x=-1..2 and y=-1..1).

How do i get maple to show me the two points of intersection i need using the fsolve command? 

I've tried rearranging the equasions for y, rearranging for x, adding an option to solve for x [fsolve({P1,P2},x) but this returned an error] and am pretty stumped. For something so seemingly simple i dont really know where to turn.

Thank you :)

When i input: i get returned.and with this i have no idea what im supposed to do. I dont understand what it means, how to correct it or how to actually answer the question using the information. 

This is what i am returned with when i try to input a sequence using my previous result.

 

Could someone please put me on the right tracks and help me with this problem?

 

Thank you

Helo dearz!

I want to find the inverse laplace transfrom (numerically) of the attached file of solution u and v for any values of M. I am waiting for your positive response. 

Help_v2.mw

Hi,

Could you please help me in solving this problem ?

  • N is the number of row, about 10^4 in real applications
  • P is the number of columns (about 5)
  • A and B are two NxP matrices
  • C is the Nx(2P) matrix defined by
    • its 2*k-1 th column is the k th column of A
    • its 2*k th column is the k th column of B


What is the fastest and less memory consumming way to construct this matrix C ?

Thanks in advance

 

 

كيفية حل مشكلة فوات (إنفينتي)

Hello dear!

Hope everyone is fine. I want to solve the system of algebraic equations. The answer of c[i]'s should be in term of q. Please see the attachment and fix the problem for any value of M. I am waiting your positive response. Thanks in advance. 

Help.mw

fgh := proc (x) options operator, arrow; [x, x^2, x^3] end proc;

sol := proc (x) options operator, arrow; min(`~`[Re](select(proc (t) options operator, arrow; is(abs(Im(t)) < 0.1e-19) and is(0 < Re(t)) end proc, fgh(x)))) end proc;

eval('sol(x)', [x = X]);

eval(%, X = 1)

 

Why does this not work?

Is there a way to determine the coordinates of all the vertices of a cuboid using geom3d?

See WC06_Vertices_of_a_Cuboid.mwWC06_Vertices_of_a_Cuboid.mw attached.

The graphic of the cuboid is created with

A:=(cuboid([1,1,2],[3,4,5]), orientation [27,78],lightmodel = light4, shading = none, transparency =.85,scaling = constrained, axesfont = [bold, roman, 18], axes = normal):

And the vertices are self-evident, for example 

B:= pointplot3d({[3,1,5]}, symbol = solidsphere, symbolsize = 18, color = red):

One geom3d ....

geom3d[point](P,1,1,2): geom3d[point(Q,3,4,5): geom3d[distance](P,Q); 

gives the lengths of the diagonal of the box.  Is there a way to get geom3d to list the coordinates of the 8 vertices of a cubeoid?

Does anyone know if there exist a script in JAWS for MapleSoft?

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