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Maple is providing answers with the gamma function and LambertW function.  I am not a math major.  Although I did take advanced engineering mathematics in grad school, I am not familiar with transcendental functions.  

I did look at some of the help.  I tried to use the convert command to convert to elementary functions, however it did not help.  I looked at the definition for the Gamma function, GAMMA(z), and the upper incomplete Gamma function, GAMMA(a,z) that uses the generalized hypergeometric function 1F1.  Looking at the generalized hypergeometric function 1F1 defintion, hypergeom(n, d, z), it references the general pochhammer function, pochhammer(z, a), and product functions, product(f,k=m..n).  This all seems way too complicated.  


eqn1:= R = exp(t/MTBF) * (t/MTBF) * sum(1/(i!), i=0..n);

exp(t/MTBF) * (t/MTBF) * Sum(1/(i!), i=0..n)

exp(t/MTBF) * (t/MTBF) * sum(1/(i!), i=0..n)


eqn2:= MTBF = solve(eqn1,MTBF);

solve(R = exp(t/MTBF) * (t/MTBF) * sum(1/(i!), i=0..n),MTBF)


Is there any easy way to convert to use basic functions like sum, int, etc.??

I am wanting to use the answer in Excel.  I have found some custom Excel VBA code that I could use to implement these non-standard function in Excel, but that seems like a lot of effort.

Lambert W function for Excel, work on real and complex number (VBForums)

Excel Add-Ins Incomplete Gamma Function (PC Review)


Update: Some more background on the problem is as follows. R is the expected reliability say 90%. MTBF is mean time between failures in hours. t is the time period of operation excluding allowable downtime. n is the allowed number of failures. I am looking to find the MTBF needed to achieve a certain required reliability, with the number of failures allowed, and the up-time operational period, being defined by the requirements as well.

To clarify the simplification does not necessarily have to be closed form, and an approximation would be acceptable. (in Excel I currently am using iteration over a number of rows, then using the Goal Seek tool to find the MTBF, however this is less than desirable to have to do everytime when looking at different trade studies) I am not that familiar with how to use assumptions in Maple, and do not know what would be the appropriate assumptions to make when simplifying. Thanks for your help.

At the first note that in this question all polynomials have parametric coefficients. Let F be a list of polynomials and f be a polynomial. I want to convert F and f into a linear homogeneous FF and ff resp. At the first I want to sortvthe monomials appears in F and f  w.r.t. a monomial order T and then replace by the new variables A_i.

For example if


(a,b,c are parameters and x,y,z are variables) then I want to convert F and f into FF and ff resp:

please note that the variables appears in F and f are:

where sorted by T=plex(x,y,z). Please note that we consider all constants and alone parameters (4, b-4, c-1) as A9. I want to convert v into

and then F into FF and f into ff.


How to express sin(-(1/6)*Pi+(1/2)*arccos(1/3)) in radicals with Maple? The use of the applyrule command is not desired. Here is one of  my tries:
>convert(expand(sin(-(1/6)*Pi+(1/2)*arccos(1/3))), radical);


please help check what's wrong with this code. I need the analytic solution and convert to Bessel but return error. Here is the worksheet

Best regards.

I'm looking at Maple as a possible alternative to Mathcad (which I've been using for years, but is now very jaded compared to other options like Maple and Mathematica).  I'm a civil engineer and for what I do, one of the better features of Mathcad is the way it handles units.  For example, if I specify an angle in degrees (say phi=30 degrees) and then ask for sin(phi), I get 0.5.  At face value, I though Maple would do the same kind of thing.  However, this doesn't appear to be the case (see attached worksheet).  The only workaround that I can see is to specify the angle in degrees (but without assigning ) and then multiply the specified value by pi/180 (to convert to radians) before passing it to the sin function.  Which is all a bit messy and not at all an attractive solution.

Am I misunderstanding the way units work in Maple and is there a clean way of specifying angles in degrees (which is what engineers work with) and using these values directy in trig functions?

Thanks in anticipation,


 when i  input  bellow


  • Maple can output




Hello, I would like to customize the context menu in Maple 18 and looking for a way, to convert 2-D expressions to classical maple input using command(s) (same function as "2-D Math > Convert To > 1-D Math Input"). My main problem is, that using the standard procedures in the context menu I get the result of an expression, not the expression itself.

Can you give me an idea, how to do this? Thanks, Csaba

I find mapleform software   but I dont know how to use , and does anyone know another method to convert.  I know use 

> with(MmaTranslator);
> MmaToMaple();  

I can  automatically translated .nb files.  but this have  

Error, (in readline) file or directory does not exist
Error, (in readline) file or directory does not exist
Error, (in readline) file or directory does not exist
Error, (in readline) file or directory does not exist

another Error, missing operator or `;`

also I try to use 

> with(MmaTranslator);
> FromMmaNotebook(Mma_notebook_filename, options);

I still dont know how is works?  can you explains for me and show me some example  , here is my example


Does anyone know how to using some softward convert ?  for example  I have maple code , but I want to using mathematica code .I need fast way.


I need sort data of an imported matrix to ordered pairs.

'M' is a matrix with 2 columns and unknown numbers of row.



M := RandomMatrix(12, 2);

pairs := [M[1], M[2], ... , M[numelems(DeleteColumn(M, [1]))]];


PolynomialInterpolation(pairs, x);

I am trying to write a question which asks the student to convert a random decimal number into hexadecimal. I can't get MapleTA to recognize that a correct result is input. I think the problem is that I am not correctly dealing with the hexadecimal number which is represented as a symbol from convert.  

In the algorithm section I use:


The question was:

Convert the decimal bumber $dec into Hexadecimal.   

In the text input section I use:

is(($RESPONSE)-($hhh) = 0);

in the grading section of a Maple graded part of the question. I have tried converting the $RESPONSE to decimal and comparing with $dec.

I allow the students 4 attempts at each question, so I don't want to do a multiple choice question.







I wish to convert:

Sum(x[k],k=1..n)*Sum(y[k],k=1..m) -> Sum(Sum(x[j]*y[k],j=1..n),k=1..m)

Can anybody show me an elegant way to do it?


Hallo. There is a package "Standard Form" (for Maple 3 & 4):

I am interesting if it can be converted for modern Maple 18?


Hello friends;

I uploaded the file. Firstly i solved the 4. order ode. I converted it to trigonometric functions from exponantial.

I have 4 equation and 4 unkowns. I thought , it is sufficient to solve this. As you see , i can not solve the system .

May you help me please where i am doing wrong. 


(PS:i downloaded the file again correctly)

Hello everyone,

I'm using Maple18, I tried to integrate the function including natural logarithm:


But we get the answer:

Is there any simple way to directly convert the answer to the kind of form we want? I cannot not finish the conversion:


So the toolbox "IntegrationTools" was used, but finally, we couldn't compute the integral:


 However, we can get the correct answer by manually inputting the formula.


Using IntegrationTools is pretty nasty and not very convenient, such as the problem I mentioned.

Does anyone have another solution?

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