A kryptarithm - this is an example of arithmetic, in which all or some of the digits are replaced by letters. The rule must be satisfied: the different letters represent different digits, the identical letters represent the identical digits. See the link  http://en.wikipedia.org/wiki/Verbal_arithmetic.

The following procedure, called  Ksolve , solves kryptarithms in which are used four operations ...

Hello,

Given a two dimensional vector field.  u(x,y)=[x,y], how can I plot the given vector field subject to x+y>0?...or something more complicated like x^2+y^2>0

Thanks

I have to calculate inverse laplace transform of a function that contains branch point at zero and infinity. Is there any procedure in Maple to calculate ILT with branch point Analytically.

I've done the procedures for answering the questions but i don't know how to go about calculating f(6) and f(15).

In the application example SignalGeneration, I click on the button "Play Waveform" and get the message "This option is only available on the Windows platform. Your platform is X86 64 WINDOWS". Does it really mean that I won't be able to play audio file in windows 7 64? If not, how can I solve this problem ?

Thank you!

Stéphane

How to find the exact solution from this equations?

1. (x+epsilon*y)dy/dx + y =0      y(1)=1

2. (x^n + epsilon * y)dy/dx + nx^(n-1) * y = m*x^(m-1)      y(1)=b>1   ; n=2,3,4,...   ; m=0,1,2,3,...

3. u" + u + epsilon*u^3 = 0    u(0)=A  ;   u'(0)=0

4. y" + 2(y')^2 +3y' = -sin x    ; y(0)=1  ;  y'(0)=0

Would someone be kind enough to write rsolve procedures (or code) to evaluate these two sums

the answers are 3 and 7/4

Doing a pointplot([x1,...,xn],[y1,...yn]) is no problem but I have lists [y11,...y1n] [y21,...,y2n] ... [ym1,...ymn] each be plottet at [x1,...,xm] in 1 plot.

That means:

plotting 

[y11,...y1n] at x1

[y21,...,y2n] at x2

.

.

.

[ym1,...ymn] at xm

What is the easiest way to implement this?

 hi everyone,   

I have a list of coordinates  and would like to sort them so that in the new order, the last coordinate will be the first coordinate and the first coordinate will be the first: 

   for example:  

  P:=array([[1,4],[2,3],[3,2],[4,1],[6,5],[6,1]]):   

should sort to  

  P:=array[ [6,1], [6,5], [4,1],[3,2],[2,3],[1,4]]  

Two examples:

for i in {1, 2/0, -3, 1/4, 5} do

if i::posint then print(i)  fi;

od;

       Error, numeric exception: division by zero

select(x->is(x::posint), {1, 2/0, -3, 1/4, 5});

       Error, numeric exception: division by zero

How to avoid interruption of the program in such cases?

Hi, this question requires the use of with(geom3d): package and i don't know how to go about answering it.

Hello dear,

I want to plot a piecewise function.

The code is 

restart:with(plots):

lambda0:=PL-R3*x;

Psi0:=PL+R3*S0*(R1-1)-R1*R3*x;

S0:=(Q-1)/Q;

P:=piecewise(x<S0,lambda0,x>S0,Psi0);

R3=-5,k=4,R1=0.0006,Q=1.2

I want to plot P vs x (0..1) vs PL (0..1).

Thanks

I am trying to illustrate the effects of using finite-precision arithmetic on solving certain linear systems using elementary row operations. I am able to set Digits to the desired level and use the RowOperation command for each individual row operation. I would like to be use say, ReducedRowEchelonForm or LinearSolve with the desired level of precision. Is there anyway to force Maple to use whatever number of digits when using commands like ReducedRowEchelonForm or LinearSolve?...

HelloI have Mathematica code(notebook) I want to convert it to Maple code (worksheet)
 Thanks 

Hi

It's been 1 and 1/2 months since updates for the Maple Physics package have been distributed in the Maplesoft webpage "Maple Physics: Research & Development".  The number of Mapleprimes Physics posts that got rapidly addressed in this way is already large, some of them are listed here.

The experience has been great. Suggestions are implemented and problems are fixed in a couple of days since they were posted here, and the changes are made available to everybody right away. This is moving the focus of developments into the topics people are actually working on, with feedback and related downloadable updates happening every week.

The recent Physics updates are mostly related to quantum mechanics, an advanced topic, but part of the resulting functionality is interesting for algebraic computations in general. To mention but one: the "automatic combination of products of powers of same base" is now optional.

Recalling, by default, in Maple, if you enter xⁿ x^m, in order to receive x^(n+m). you need to use the combine command (the same happens with products of exponentials). The idea behind the Maple approach is to give you more control over the steps. On the other hand, depending on your problem, the automatic combination of powers of the same base is a desired automatic simplification - this is for instance the Mathematica approach.

In today's update of Physics, a new Setup option, 'combinepowersofsamebase', is implemented, so that this automatic simplification is now optional. If set to true (> Setup(combine = true)), you enter xⁿ x^m or exp(A) exp(B) and you respectively receive x^(n+m) and exp(A+B). Being able to turn this automatic simplification ON and OFF comes in handy in varied situations.

Those more familiar with noncommutative objects (e.g. Matrices), also know that the combination of exp(A) exp(B) is not valid when the exponents A and B do not commute, unless A and B commute with their commutator AB - BA, in which case the combination can be done using Glauber's formula (also related to Hausdorff's formula). All of these cases have been implemented too.

In summary, in the latest update of Physics the combination and expansion of powers and exponentials using combine and expand now takes into account the noncommutative character of the exponents and the value of their commutator, and there is the option of having this combination happening automatically, for both noncommutative and commutative algebraic objects in general.

Other relevant changes more related to Physics are described in the PhysicsUpdates.mw distributed inside the zip that contains the updated Physics.mla linked in the "Maple Physics: Research & Development" webpage.