Hey, I'm trying to make a density plot for the hydrogen wave functions in maple I only see how to make a density plot in cartesian coordinates, but I want to make a density plot in polar or better in 3D spherical coordinates.

I am trying to get the directional derivative for a 3 variable (x,y,z) function. Maple is saying: Error, (in Student:-MultivariateCalculus:-DirectionalDerivative) include points for only the x and y coordinates for entry DirectionalDerivative(x*exp(y)/(3*z^2+1), ([x, y, z]) = ([2, -1, 0]), [1, -2, 3]) Any help would be greatly appreciated. Thanks, Dave

Does anyone know how to get the function

LegendreP(1,1,cos(theta)) to return the value of sin(theta) ?

I'm using the associated Legendre function.

I think the first 1 represents the degree of the polynomial, and the second 1 stands for the derivative order. (I'm not sure).

When using the associated Legendre function, LegendreP(u,v,cos(theta)), I get the expected results only for certain combinations of the values of u and v.

The problem has to do with the eveness and oddness of u and v.

I also tried manipulating the global variable, _Env...? (Can't recall it's full name).

Hi I was wondering.. I am solving a set of differential euqations and i get my table of values: soln3:= dsolve(... I would like to extract those values to excel... Is there a command for that? Thanks! Elinor

Does anyone know how to perform maximum likelihood estimation in maple 10 or 11 with multiple unknown parameters? If pop100 is a vector of floats, then code like: MLE(LogNormal(mu, sigma), pop100) yields this error message: Error, (in Statistics:-MaximumLikelihoodEstimate) when calling '`one of {op, module () local OptionsTab; export FisherInformation, Information, Likelihood, LikelihoodRatioStatistic, LogLikelihood, MaximumLikelihoodEstimate, Score, GetValue, ProcessOptions; LogLikelihood := module () local OptionsTab; export ProcessOptions, MakeProc, GetValue; OptionsTab := table([(OptionParms)=(table([(samplesize)=[deduce, {posint, identical(deduce)}],(weights)=[Array(1..0, []), {rtable}],(ignore)=[false, {truefalse}]])),(PositionalParms)=(table([]))]); ProcessOptions := proc (parms::list, other::list, opts::table) return :-ProcessOptions(0,other,Statistics:.

Hi I was wondering I have a few sets of solutions for different initial conditions and I would like to plot them in the same graph: with(plots); plotF7 := odeplot(soln,[(10.46-F1(z)) `/`(10.46),F2(z) `/`(10.46-F1(z))]... But for soln soln1 soln2. What could I do?

I have used the components palette to build a user interface for a complex data analysis and display task. It involves multiple worksheets running in shared kernel mode. The main worksheet is organized as a 3x2 table, each cell of which uses components to display a set of some 25 related data parameters and controls. A second worksheet contains buttons and plot regions for graphing the columns of various data Matrices associated with the parameter sets. The parameters are stored in databases, and the Matrix data have been generated from the parameter sets as input by a stand-alone Fortran program. A third worksheet contains spreadsheets for examining the data in the Matrices. The various buttons on these Worksheets call the procedures in a library devoted to the interface, which procedures accomplish things like loading parameter or data files, clearing or updating the displayed parameter sets, executing data analyses, etc. Keeping so many components straight in my mind demanded that I adopt a uniform naming scheme, so the generic component names have all been replaced by my mnemonic ones which are derived from the underlying data content of each component. All this is pretty much nothing fancy, just as it MUST be, given what I'm trying to accomplish. Now I want to augment the user interface to include another set of parameters, controls and data Matrices all of which are disjoint from the existing ones.

I've just encountered a problem that I've never seen before, although I suspect I'm overlooking something very simple, and I was hoping to get clarification. In the course of defining a function I wanted to have a sum going over the indices of a vector; something like, sum(abs(x[i]-y[i])^2,i=1..3), and I receive "error, bad index into vector." This construct works fine with the seq command, so I'm not totally sure why it fails when using the sum command. Any ideas would be greatly appreciated. Thank you. Keenan

Hi, Let P=256*x^8+128*x^7-448*x^6-192*x^5+240*x^4+80*x^3-40*x^2-8*x+1 and Q=x^8-36*x^7+210*x^6-462*x^5+495*x^4-286*x^3+91*x^2-15*x+1. The roots of these 2 irreducible (over Q) polynomials generate the same Q-extension. (P is the minimal polynomial of cos(2*Pi/17)). I'd want to write the Q-roots as algebraic functions of the P-roots; there exist 8 such functions. If I use "evala(Primfield{RootOf(P)}{RootOf(Q)})" I obtain an error message but I see that Maple has the result (in part hidden!!). What can I do ? More generally: let P,Q 2 irreducible polynomials over Q; do they generate the same Q extension ? Does a such test exist ?

/Users/tvawter/Documents/Maple10 Work/Document Blocks.txt

I am unable to make the example on page 248 in the User Manual work. When I try to display the Document Block, nothing happens. The manual says "Select the output region..." I assume that means Maple Output. When I hit Toggle Input/Output Display in the View menu I get nothing. What am I missing here?

Thanks
Tom Vawter

I tried using the piecewise function and only got it to work by using the boolean operator and.

The two conditions were:

1: 0<= x <=a

2: a<= x <=b


However, just using the two conditions as they're written above with the function piecewise gave me error statements.

Is the only way to use such conditions in the piecewise function, is by using the conjunctive ? (i.e. writing it as 0<=x and x<=a, f1, a<=x and x<=b, f2).

v/r,

dc

I have the equation (x+k)^2 = -d (7) I want to get (x+k) = sqrt(-d) by inputting sqrt(lhs((7))) = sqrt(rhs((7))) but I run into that old problem of sqrt(v^2) = sqrt(v^2) I realize you can use 'assuming' but its awkward and messy in this case. Perhaps the best way to present this question is to ask "What's the easiest way you can get from (7) to (x+k) = sqrt(-d) (8)

Greetings, Can someone please tell me why I am seeing this error. Thank you, > `mod` := mods; Error, invalid mod `mod`Typesetting:-mambiguous( Assign modssemi, Typesetting:-merror( "invalid mod", foreground = "[255,0,0]", mathvariant = "normal"))

Regarding my previous post in this forum "Help with a possible improper integral...". Can anyone provide some advice on how they go about plotting expressions that contain undetermined constants ? take for example the equation of a line: y =m*x+b. thanks, v/r,

Ok, another of my "how do you do this" questions: In solving a an equations such as: y''-4*y'+5*y = 0 I would like to show the roots; is there a function that will just pull the roots from the equation as written or do I have to write the equation like: m^2 + 4*m + 5 = 0 and use: solve(m^2+4*m+5); Thanks...