n := 5:
z1 := exp(2*3.14*I*k1/n)*cosh(z)^(2/n);
z2 := exp(2*3.14*I*k2/n)*sinh(z)^(2/n);
xx := Re(z1);
yy := Re(z2);
uu := cos(alpha)*Im(z1) + sin(alpha)*Im(z2);

i find that the 3d graph has many intersection points to itself

how to find these intersection points of calabi yau ?

Hello. I want to replicate the results of this table in Maple.

My "attempt" uses the inbuilt dictionary, but it will only find the words of length n, not the frequency of letters in each ....

word_length.mw

I have a problem integrating a solution from fsolve.   I read in another post on this forum that the solution was to use unapply.   This works if I then set up the integration as suggested (i.e., without giving the argument to the function), but not if you do it in a way that seems logical to me (i.e.,the first version of the int command marked ‘fails’ below.   if you can plot a function why can’t you integrate it ?).  

Anyway the real problem I have is if I want to use the solution found using fsolve as the argument of another function (h below) and then integrate that.  I assume the final line fails because of the same reason the initial attempt to integrate g(x) fails. However, I can’t figure out what the equivalent notation would be if I wanted to omit the ‘x’ variable.   I tried using unapply again, and also putting in quotes, but nothing works.

> restart;

> g:=unapply('fsolve(a*y^2-sin(y),y=2)',a);

> plot('g(x)',x=1..2);

> evalf(Int('g(x)',x=1..2));#this fails

> evalf(Int(g,1..2));#this works fine

> h:=x->x*sin(x);

> h(g(1.0));

> h(g(2.0));

> evalf(Int(h(g(x)),x=1..2));# this fails

Hello,

With the Explore function, the use of sliders is very convenient to test the sensibility of a result with regard to a parameter.

However, It is also very convenient to specify a accurate value to a parameter.

Consequently, i would like to combine the use of slider (usually defined in the default mode) with the use of the option "controller=textarea".

Do you have ideas to combine the use of slider and the use of textarea for the definition of the parameters in the Explore function ?

Here you can find a example of the theta4 function depending of 8 parameters (xp3,xp4,zp3,zp4,phi3,phi4, gamma3, gamma4).

TestExplore_4.mw

I manage to use either the sliders or the textarea option but not both.

Thank you in advance for your help and ideas.

I mean the root of the equation

GAMMA(n-1/n)*GAMMA(1/n)/(n*GAMMA(n)) = 1

belonging to RealRange(Open(1),4). It should be noticed there are solutions outside this interval. Here is my try.

There is a shade of hope that GAMMA(n-1/n)*GAMMA(1/n)/(n*GAMMA(n))  can be simplified.

Download solution.mw

 PS. An SCR was submitted by me.

The following product

(product(mu^x[i]/factorial(x[i]), i = 1 .. n))

does not simplify to the most obvious form whatever I try

mu^(sum(x[i], i = 1 .. n))/(product(factorial(x[i]), i = 1 .. n))

What can it be?

I have recently acquired Maple 2016 and wanted to see how its numerical integration compared to previous version (in this instance, 2015 and 18). This integration is a tougher problem than the usual "textbook" case using a well behaved function. The integrand presented in the worksheet below is a small example but it can get much larger.

I am calculating a triple integral numerically from a function read in from a file which contains Laguerre polynomials. Some simplifications are done first and then that is fed into the integration. In the example script below the input has been put into the program to make it simpler.

So far it appears Maple 18 is faster than 2015 (in this case anyway) and 2016 does not appear to like the syntax I am using even though it runs fine on 18 and 2015 (it does not like the simplify(expr1,LaguerreL) or sqrt parts).

Looking at the stats of the calculation runs:

Maple 18:

memory used=0.52MiB, alloc change=0 bytes, cpu time=20.33s, real time=20.49s, gc time=0ns

answer = 0.160262735437965


Maple 2015:

memory used=350.84KiB, alloc change=0 bytes, cpu time=28.77s, real time=29.24s, gc time=0ns

answer = 0.160262735437309

What is interesting is that Maple 18 is allocating more memory in order to solve the problem compared to 2015. Does anyone have any ideas why this is occuring? Also has there been a syntax change from 2015 -> 2016 which I have not been aware of. Is there a different way to write the script to run in 2016?

Here is the worksheet:

Maple_numeric_speed.mw

Thank you in advance

- Yeti

I am getting the following error in one question

Error handling the file: /usr/local/hosted_apps/MapleTA/11/webapps/mapleta-2016.0.3-1148820/WEB-INF/modules/proctoredTest/questionSheet.html
Error in line 26: Error in line 4: Syntax error: Token[gte], line 1 in manage file

Does anyone have any idea what the problem could be? Link to question file:questions.qu

Dear all,

I am trying to plot in the same graph two sets of data points given by vectors. Please see the example below. Any help will be highly appreciated. Thanks!

question.mw

Hello,

Questions

1)  Can we compute the error  ( x(t-2*Pi) - x(t) )  without plotting  abs(  x( t-2*Pi ) - x(t) ) ?

     i.e. using norm 1, 2 or infinity  ?

2)  what is op( [ a, b, c] , F ),  where F is a piecewise function ?

Download example.mw

I want to plot and otherwise use the value of the parameter I'm minimizing w.r.t. Mimimize only provides me with the solution l]ike this:

ans := Minimize(dChisq);
     [-64.4156340847187, [x = HFloat(0.9455666933532977)]]

Help does not indicate how to get at the value of x which in this case I want to plot and might want to input to further calculations. Indded I don't now what to do with above ... other than I can extract the value of the 'chisq' at the minimum. But I can't get at the important number which is where the minimum is.

No way to get the uncertainty on x is evident either. I could do this myself but need to know the value at the minimum to do it.

It seems to be a bug here:

restart;
with(Iterator):
M := CartesianProduct([1,2],[a,b],[c,d,e], rank=3):
n:=0:  for v in M do n:=n+1: print(n,v); end do:

              1, [2   b   c]
              2, [2   b   d]
Error, (in unknown) improper op or subscript selector

# for rank=9  ==>  [list, b, e]     ??

Dear Community,

I have two measured series - time series actually, stored in Excel:

• gas flow (ordered in ascending date order),
• pressure measurements (unordered, more or less randomly distributed dates),

I would like to:

• import the two series into Maple,
• convert them to time series,
• merge them in a way, that the unordered pressure dates are plugged into the ordered gas flow dates, so I finally get a single, ordered date sequence of ascending order.
• pressure and gas flow rates should remain separated of course, i.e. not merged (they should appear in two separate vectors, or matrix columns, whatever)
• if pressure dates and gas flow dates are the same, they should naturally be in the same row, i.e. belong to the same date.

No problems with the import, but I'm lost with the time series handling. I tried to figure it out from the help, but frankly the description is rather difficult, and I also haven't found appropriate examples. Is it possible to do it with Maple's time series feature at all, or something other is more practical? Files and my initial trial are attached.

tx in advance

best regards

Andras

Time_Series_Data.xlsx

TimeSeriesTest.mw

Let say I have an array

A := Array([[1], [2], [3]])
Normally if I would like to extend it I will write, eg:

Extend(A, [[4], [5]])

But because this is not 1D array Maple will rise an error. Is there a way to go over this limitation?

Dear all,

I would like to evaluate mathematical quantities involving 3F2. The function hypergeom in Maple is most probably the so called ordinary hypergeometric function commonly denoted as 2F1.

I was wondering whether 3F2 has already been implemented in Maple. Thank you.