Hi, can anyone help me with this questions? Thanks!

Use maple to find the general solution to the following system of linear equations:

2x₁  + x₂ - x₃ +3x₄ = 2

x₁ + 2x₂ -x₄ = -1

3x₁ +2x₂ -2x₃ +x₄ = 1

hi all

i am trying to write some code to display:

a) hexagon tiling, rather like a honeycomb in 2D

b)  equilateral triangles tiling , all space filled by said triangles. eg a series of triangles whose base is parallel to base of plot, with inverted triangles filling in the remaining spaces

c) square tiling

for a,b c I  want about 50 of each displayed (all of edge length 1) on the one plot

d)  some code...

My overall goal is to get a high resolution image onto a poster I am creating. I simply have an x and y coordinates for 4095 entries. Excel and maple can obviously do this, but I need to put the end result into PowerPoint. Since I think the Maple graphs look more professional, I was trying to use the Maple Add-In in Excel to simply make a scatter plot. I am assuming the image format between excel and PowerPoint will be much more compatible than that of maple to PowerPoint....

One of my friends would like to buy a book about solving multiple integrals and/or ordinary differential equations with Maple (some newer version, let's say 13 and newer).

I know about this site: http://www.maplesoft.com/books/, but can anyone recommend some book(s) which is (are) worth buying?

What are the equivalents of eval and evalf for Matricies. In particular how would you display a Matrix which appears in symbolic form to appear with numeric entries.

 Hi, 

If I have a function defined as 

                                             F[i]:=x[i]^2 +x[i]*y[i]+y[i]^2    where  x[i]:= (i-1)0.1  and y[i]:=(i-1)0.2 ,    i=1..100

I have the following problem. Two formulas in three variables represent the costs of algorithms. I want a visual of their ratio, so that I can "see" how their relative performance varies. Here is a simple example. I can analyze this example analytically, but you can't always do that.

R := sum(binomial(n+i*d,n),i=1..k-1);
S := binomial(n+k*d,n);
f := unapply(R/S, n, d, k);
A := Array(1..10,1..10,1..10,f,datatype=float[8]);

I want a 3-dimensional rendering...

How can several expression statements be not displayed during and after an execution process of "then"conditional statement (I mean "If.....then...")?
For example:

if .... then
exp1:
exp2:
exp2:
....... 

end if;

each expression above can consist of various commands in its body.All my exp statements were finished by ":"
but, they...

Hi,

I just noticed something rather peculiar (well, to me, at least). When I compute the limit

limit((1-1/x)^(-x),x=-infinity)

as is, I get the expected result of exp(1).

However, if I load the RealDomain package prior to computing the limit,

with(RealDomain):

limit((1-1/x)^(-x),x=-infinity)

I get that the limit is undefined. 

Any ideas as to why that is the case? Thanks!

Hi,

I'd like to take the second derivative of the following function (see below), but I keep ending up with an

Error, (in content/polynom) general case of floats not handled

The range of the equation that I want to look at is from 0 to 1 and I know that it "blows up" around 0.09 for EQ1 but not EQ2.

The commands that I've tried are diff(%,FIO2) and Diff(%,FIO2).  I'm probably missing something obvious, so hopefully someone can tell me...

Can anyone explain the rationale behind plot command, which generates the same graph differently for an identical function?

> restart;
> with(plots); with(plottools);
m := 4;
k := 20;
omega[n] := sqrt(k/m); 
T[n] := evalf(2*Pi/omega[n]); 
td := 0.5*T[n]; 
ratio := evalf(td/T[n]);
p3 := 4*sin(Pi*t/td);
dur := evalf(2*Pi);

enc := u(0) = 0, D(u)(0) = 0; 
eq := m*(diff(u(t), t, t))+k*u(t) = p3; 
sol := unapply(rhs(dsolve([eq, enc])), t); 

I have a function 

f:=x->(x^2 + 2*m*x + m + 1)/(x -1);

Now I want to define a function as simplify(diff(f(x),x)), i did 

g:=x->simplify(diff(f(x),x)). Then, i could not calculate g(3). Please help me. Thank you.

http://aw.twi.tudelft.nl/~koekoek/askey/ch3/par28/par28.html

Which function represent phi in 3.28.1

Hi,

I would like to ask, what is the way to use the Direct Search (or other similar package) to solve not a static optimization problem for, say f(x_1,x_2), but the dynamic one, say for f(x_1(t),x_2(t),t)?

I think there must be the way of adapting the algorithm for that.

Any ideas welcome.

Best

Want create my own geometric distribution with rather only natural values i.e. without zero:

c:=Distribution(PDF=(t->PDF(Geometric(p),t-1)));
But such form is luck to calculate even Mean value:

simplify(Mean(c)) fails. How to apply to get even Mean(F(c)) for complicated enough F?