Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

You can easily (or at least comparatively easy) create Maplets in Maple but you can not (as far as I know)

create shortcuts to such Maplets in the main menu. I must say I find this very strange.

It is like having the tools and resources to build a boat but you don't have access to water.

I don't want to create a Maplet and having to open a worksheets each time I want to load the Maplet.

It just destroys the whole experience. Again I find this very strange :-)

 

Let we have a function, f(x), and want to approximate its integral from x = a til x = b.

Divide the interval [a,b] into n equal (not necessary equal) parts.

Let one of the part, i,  is from x(i) til x(i+1).

Let us draw a tangent to the curve in this part, i, by the command:

Tangent(f(x), x=(x(i)+x(i+1))/2)

we may find the area under this tangent and in this interval through the command:

int(%,x=x(i)..x(i+1))

Thus in ths limit:

the original area is equal to the sum of these areas.

Hi,

I would like to work in modula 26 for the whole workshee.

 

What's the command for that?

 

Thanks.

 

Casper

How to find a pattern in:

 

1, 3, 240, 840, 80640, 887040,...

What is the pattern in these polynomials (how to generate them)?

 

1. x^0

2. 3*x^2 + 3* x + 1

3. 240*x^4 + 480*x^3 + 380*x^2 + 140*x + 23

4. 840*x^6+2520*x^5+3220*x^4+2240*x^3+903*x^2+203*x+22

5. 80640*x^8+322560*x^7+571200*x^6+584640*x^5+379008*x^4+159936*x^3+43272*x^2+6984*x+563

Hi! I have a problem and I don't know what is wrong. I have a piecewise defined function s(y) (see code at the bottom) and I want to integrate it from y=-Pi..2.338412729. I did this integration int(s,y=-evalf(Pi)..2.338412729); but it took so much time so I canceled it after half an hour! But if I enter the integral in the following way int(s,y=-evalf(Pi)..2); int(s,y=2..2.338412729); it takes Maple less than five seconds to evaluate those expressions. The problem is this whole integration process is integrated in a proc for optimization. So, I need to evaluate the expression

 

 

sum((1+1/n)^n-exp(1), n = 1 .. infinity)

Good Afternoon,

Would anybody be kind to help me with the attached file. I have created procedures to calculate the Area, center of gravity , section modulus and moment of inertia of a cross section.

I'm testing the worksheet with an existing example from a text book, and the results are as follows

Area = 75*in2

Zxxtop = 119.219*in3

Zxxbott = 133.245*in3

Ixx = 629.212*in4

Zyyleft = 88.583*in3

Zyyright = 88.583*in3

Iyy = 442.917*in4

xbar = 4.722*in

ybar = 5.0*in

Hi there,

while programming, when I enter RETURN in my proc, I get a strange error

"Error, unable to delimit strings/identifiers"
 

and no further clues given.

What's wrong?

I have a lot of equations one of them is like "q:={3-x=1}"

if I use   switch:=z->lhs(z)-rhs(z); and I use map(switch,q); it gives me 2.-x which is bad for Bertini software which I use for some purposes. I need to have 2.0 or 2 but not 2.

This dot after 2 without any number after that is trouble for me.

What should I do?

Thanks

 

 

How can I simulate and estimate the parameter value p for an AR(1) model of the form X(t) = p*X(t-1) +E

or alternatively X(t) - X(t-1)=p*X(t-1) - X(t-1) + E   where E is a random term 

Hello,

I have a symbolic function, and I want to see its pointwise numerical evaluation in fortran format.

Basically, if I have a function like e^x, I want an array like:

  2.7183d+000
  7.3891d+000
  2.0086d+001
  5.4598d+001
  1.4841d+002
  4.0343d+002
  1.0966d+003
  2.9810d+003
  8.1031d+003
  2.2026d+004

What I tried doing was:

-----

Shift+Left Arrow to choose the region which I'll make them numerator part,or add parentheses for the part.

 

(6+7)/

Any other convenient methods?

how to approach this problem: for what value of a, the expression is minimum:- g(n,a):=(1+1/(n))^(((n^(1/(a))+(n+1)^(1/(a) ))/(2))^(a))-exp(1) the answer seems to a=3.

F2:

 + | 0 1        × | 0 1
 --+----        --+----
 0 | 0 1        0 | 0 0
 1 | 1 0        1 | 0 1

F3:

 + | 0 1 2       × | 0 1 2
 --+------       --+------
 0 | 0 1 2       0 | 0 0 0
 1 | 1 2 0       1 | 0 1 2
 2 | 2 0 1       2 | 0 2 1

F4:

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