See A342180 in OEIS. Two codes have been written for this, one in Python (17 terms found), the other in Mathematica (33 terms). Could a Maple code go beyond a(33), assuming higher terms exist? 

So in multivariate calculus there is a function called Lagrange Multipliers that searches for maxima, minima and saddle points on a 3d surface with an algebraic as a constraint. I was wondering if there was a way to do something similar on a polygon constraint by feeding the corner points to a procedure and returning all extrema and saddle points? Ideas I've had so far is using the directional derivative on the corners in the direction towards the next corner and looking if it is bigger or equal than 0 if multiplied with the directional derivative towards the previous corner (if yes, extrema or saddle point, if no not) however this adresses only corners and there may be extrema on the lines between the corners too. What should I do for that? 

Hi,

Is there a way to make all computations in Maple to run modulo specified prime p? If, for example, I want to use a function such as DifferentialAlgebra:-RosenfeldGroebner and force it to run its internal computations modulo p, can this be done?

So far I have tried to use GF(p, k), but there seem to be issues where `+` and other operations require defining all symbold via :-ConvertIn(). 

Thanks.

I was hoping to find a nice symbolic solution for the root of this equation:

a,c,d,k are parameters.
Unfortunately, I got an RootOf expression, which does not make sense to me. Assumptions do no help me further.

Next week, I have to present my results, but I don't know how to interpret is (the help file does not bring any relief). Is there something to say about the root? Suppose, I wanted to use side restriction on a problem? E.g., find a solution conditional on the fact that the derivative is zero. 

Clearly, in the plot it seems simple.

In one case there is a solution Maple provides: a  (a parameter)

This seems strange, because numerically there is one solution (and clearly not a).

Download Please_NO_RootOf.mw

Let d and i two integers 

Put 

A := -(sum((-1)^k*binomial(i, k)*pochhammer(d*k+1, i), k = 0 .. i))/factorial(i)

and 

B := (sum((-1)^k*binomial(i+1, k)*pochhammer(d*k+1, i+1), k = 0 .. i+1))/(d*factorial(i+1))

Question: Show that A=B

Thanks!

Dear administration, I hope you all are good,why my question have been deleted? My question is a little similar to the one before, but there are still a lot of differences.I didn't do a backup which was bad.Once deleted, there is no chance of modification.

I have:

dx6PN := 9836.535181*(1 - 2.890681911*x(t) + 4*Pi*x(t)^(3/2) + 3.753665653*x(t)^2 - 37.77895388*x(t)^(5/2) + (120.1000376 - (856*ln(16*x(t)))/105)*x(t)^3 + 54.24658055*x(t)^(7/2) + (9.292369248 - 23.08463043*ln(x(t)))*x(t)^4 + (540.5708789 - 102.446*ln(x(t)))*x(t)^(9/2) + (415.3887908 + 318.8547366*ln(x(t)))*x(t)^5 + (1549.709468 - 384.6723254*ln(x(t)))*x(t)^(11/2) + (2172.892557 + 407.4405529*ln(x(t)) + 33.2307*ln(x(t))^2)*x(t)^6)*x(t)^5

Ms := 0.0003214719000

xlow := 0.04672277118

tin := 4.125604512

I want to solve the following for t>tin to obtain xphi. I then want to plot xphi over the range tin to tin+1:

diff(x(t), t) = dx6PN, diff(xphi(t), t) = (x(t)^(3/2))/Ms, x(0) = xlow, xphi(tin) = 0

I could use some help.

Hi,

Is there a possibility of aligning choices in a horizontal manner?

Thanks

QuizzTest1.mw

Given two lists say of same number of elements 

A = [1,0,3,4,5,5]

B=[0,1,2,6,3,6]

How to write a code find number of elements of A which are greater than the number of elements of B index wise in the above 1>0,3>2,5>3 so three elements. 

And also the number of elements of B greater than the number of elements A index wise

1>0,6>4,6>4.hence 3 elements

Index wise compared to note 

Kind help 

Hi everybody, I want to find 

the second-order derivative according to alpha. Since the computer could not calculate in this way, I took the derivative twice in a row.

assume(alpha <= 1)

additionally(0 < alpha)

then output is

again using the fracdiff 

then output is 

but I want to see

after the last command. Should alpha be defined specifically for this?

I know that the angle between two vectors u = (2, 1, 1) and v = (9, -1, 4) equal to 30 degree. How to find the some options of two vectors u = (a, b, c) and v = (x, y, z), where a, b, c, x, y, z are six integer numbers so that  the angle between two vectors u and v equal to 30 degree?

Bagaimana cara menemukan domain f (x) = x ² -x + 3?

Dan bagaimana saya bisa menemukan rentang y = f (x) -g (x) jika fungsinya diketahui f (x) = x ² -x + 3 dan g (x) = 3x-5?

Given a Graph say G with its adjacency matrix say. 

Consider a edge uv in the graph say 

how to find the number of vertices of 

Case1 : The number of vertices of graph G whose distance to the vertex v is smaller than the distance to the vertex u.

Case 2:  The  number of vertices of graph G whose distance to the vertex u
is smaller than the distance to the vertex v.

To u is adjacent to V that is uv is a edge here. 

I installed Maple 2021 on windows 10. And wanted to try it to see if the hangs I used to have are fixed now.

First I noticed that Physics package does not come pre-installed with Maple 2021, which is little strange. I would have expected Maple 2021 to come with latest Physics version.

Because when I did Physics:-Version() it says "`The "Physics Updates" package is not installed`"

Then I typed  Physics:-Version(latest) to install it, it gives error

Error, (in Physics:-Version) unable to determine the Physics Updates version, could you please report the problem to support@maplesoft.com
 

I remember something similar in earlier version of Maple but can't find or remember where that post now.

May be Physics needs to be updated at Maple site to work with Maple 2021? I am asking, because Latex() does not work without Physics installed.

Edit:

I think in Maple 2021, latex() now is the same as the earlier Latex() command from Physics? I remember a post saying this now. Since I see now latex() have different help page from old latex() help page.

So may be that is why Latex() did not work. I can easily change this in my code to change it to use latex() instead of Latex() in this case. 

Windows 10

Hello!

I have a difficulty with a function used in procedure. The procedure uses a multivariable function and if the specific choice of the function is not made the procedure seems to give proper result, but In case I make a specific choice of the function and then try use this procedure gives me incorrect result.

To be more exact I use Physics package (there is a need to calcute combinations of covariant derivates ). The calculations are performed in a curved space with a defined metric.

So here is the procedure:

SD2 := proc (psi) SumOverRepeatedIndices(g_[`~kappa`, `~lambda`]*(d_[kappa](d_[lambda](psi(X)))-Christoffel[`~sigma`, kappa, lambda]*d_[sigma](psi(X))))^2-SumOverRepeatedIndices(g_[`~kappa`, `~rho`]*(d_[kappa](d_[lambda](psi(X)))-Christoffel[`~sigma`, kappa, lambda]*d_[sigma](psi(X)))*g_[`~lambda`, `~tau`]*(d_[rho](d_[tau](psi(X)))-Christoffel[`~gamma`, rho, tau]*d_[gamma](psi(X)))) end proc;

If I turn to the procedure :

SD2(psi);

the result is  correct.

But  then I specify a psi function:

psi:=(t,r,x,y,z)->chi(r)+q*t;(here q is supposed to be a constant)

and turn to the procedure once again:

SD2(psi);

It gives me a wrong result.

I don't know what is the reason.

Thank you.