Hi, I am trying to do the calculation with a matrix, and I have hard time to find a way to calculate the Moore-Penrose generalized inverse of a matrix in Maple. Could anybody help me?

    A powerful approach to the teaching and learning of mathematics for students of science and engineering has been made practical through the development of powerful general mathematical software, of which Maple provides the least steep learning curve.  Accordingly, it is timely to produce an interactive electronic textbook that, for students of chemistry -- also biochemistry and chemical engineering, has as its objective in part I,
Mathematics for...

I have a solution with RootOF(_Z^6+....). I do not need to find the roots explicitly(I know that I should use 'allvalues' to find the roots). My question is "Is it okay if I use RootOF(...) expression in another equation without finding the roots explicitly? I mean does RootOF(_Z^6+...) stand for all its roots and can it be used for each roots?"

Thank you in advance.

Anybody has a hint on how to solve a non-linear system with trigonometrics. I want to solve x, y and z.

How do you graph y''+8y'-9y=0?

How do you graph 4y"-y=0?

And for these i need to sketh the graph of the solution solution and describe its behavior as t increases.

with Maple?

Fridays Killer Questions 7city Learning:

Question) The number sequence is: 2 1 3 6 5 11 18 17 which number should come after 17?
Answer) 35

Fridays Killer Questions 7city Learning:

Question) You're the captain of a pirate ship and your crew gets to vote on how the gold is divided up. If fewer than half of the pirates agree with you, you die. How do you recommend apportioning the gold in such a way that you get a good share of the booty, but still survive?

Answer) You divide the booty evenly between the top 51% of the crew.

Fridays Killer Questions 7city Learning:

Question) You have two containers, one holds five gallons, the other holds three. You can have as much water as you want. Measure exactly four gallons of water into the five gallon container.

Answer) Fill up the three-gallon container and pour it into the five-gallon container. Do it again – there will be one gallon left in the three-gallon container. Empty the five, pour in the one,...

Fridays Killer Questions 7city Learning:

Question) You have 100 kg of berries. 99% of the weight of berries is water. Time passes and some amount of water evaporates, so our berries are now 98% water. What is the weight of berries now?

Answer) The unexpected, yet correct, answer is 50 kg. It seems like a tiny amount of water has evaporated so how can the weight have changed that much? There is clearly 1 kg of solid matter in the...

Hi,

I was wondering, suppose I have an ordinary differential equation, y''(x)  + y(x) - y(x)^3, and that the RHS is equal to zero (Duffing type equation).. Is there any way to declare this as in Maple, such as,

y''(x):=y(x)^3-y(x);

so that any time Maple sees y''(x) + y(x)-y(x)^3 in an expression, it will replace it with zero? I have tried the above, but it receive an error which says, "error, illegal use of an object as a name." 

Hi!

I am a mechanical engineer.

I want to differentiate a potential energy functional (a multivariable functional combination of integrals) in the variational calculus to get the Euler-Lagrange equations and boundary conditions and then to solve ODE's and PDE's to get a closed form solution.

The form of PE:=F(x1,x2,x3,w1(x1,x2,x3),w2(x1,x2,x3),w3(x1,x2,x3),diff(w1,x1),etc...)

Interested in getting diff(F,w1)  and diff(F,diff(w1,x1)).

Consider two sets in the Euclidean plane, each consisting of 4 points.

First set:  A(0, 0),  B(3, 4),  C(12, 4),  E(4, -1)

Second set:  F(0, -8),  G(12, -4),  H(9, -8),  K(4, -9)

It is easy to check that the set of all pairwise distances between the points of each of the given sets (6 numbers for each set ) are the same. At the same time it is obvious that there is no any...

Dear all,

I have to optimize polynomials with 10Mio data.

for i from 1 to ... do v[i]:=Optimization[NLPSolve](g(A[i,1],A[i,2],0.01273,x),x=0..3,method=branchandbound,maximize)[2]od;

This gives the result I wish, but formated like [x=0.] .

I would like to write only the x-values (floats) to a .txt file.

writedata("c:test.txt",v);

gives an error.

I must have the results on Friday, so would be very grateful for a fast answer.

Fridays Killer Questions 7city Learning:

Question) There are eight balls, one of which is slightly heavier than the others. You have a two-armed scale, which you are allowed to use only twice. Find the ball that’s heavier.

Answer) Put three balls on each side of the scale. If the arms are equal, you know the heavy ball is one of the two remaining. If the arms are unequal, take the three balls on the heavier side, pick two and weigh them against each other.