A method of fitting a curve to data points so as to minimize the sum of the squares of the distances of the points from the curve.
For example (yei,x1i,x2i,x3i,x4i) is experimental data and relevant function is y=f (x1,x2,x3,x4), some unnkown parameters

(a1,a2,a3,a4) can be solved by minimizing the sum of squares of residues.
Procedure is:
ry:=(yei-y)^2;
Tr:=sum(f, i = k .. n);
da1:=diff(Tr, a1);da2:=diff(Tr, a2);da3:=diff(Tr, a3);da4:=diff(Tr, a4);

Hi

I have the function of x and y

with n summed up from 1 to an integer - say 100 (couldn't get the summation sign in here). When plotting this function with plot3d it works just fine with 100 as the summation limit. The problem is, when I increase the limit to say 500, a part of the graph ...

Hello.

I was wondering if it is possible to plot a heat distribution within a thin square plate in Maple knowing the temperature as a function of the coordinates in the plate? The result would be a plot with, for example, red representing the hotter regions and blue representing the colder regions.

Thanks in advance.

how can I simulate the motion of the domain walls motion , using maple soft?

Is there a programme , or a special equation the does that?

Who knows how to model a brushless dc motor?  Can I use a synchronous machine and some circuits? Brushless dc motors do require rotor position information in order to select the appropriate commutation angle. Using three Hall sensors? But how to model a hall sensor or something which can specify the rotor's position and send out a signal? I am looking forward to your answer. If you have some experiences of modeling a double closed-loop dc machine using maplesim, please tell me too.

when I do the integration

>int(exp(-I*x*p),x=-infinity..infinity)

the result  obtained is  "undefined  "

but, actually it equals  Dirac(p). How can I get this result?  I badly need this.

well,it's the Fourier transformation of the constant function 1, but I don't want to use the internal function fourier();

Thank you!

Hello! Excuse me for my English!

I am student. How can I evaluate the integral numerically?

Maple can't compute:

evalf(Int(sin(x^19),x=0..10))

I think, that the problem is in the oscillating function.

Maybe, I have to change some options?

Hello!

Suddenly when starting Maple 13 on my PC (Windows 7 x64, 4GB Ram, Phenom 965 with 4x 3,4GHZ, HD5770) I noticed that it really takes ages to execute the entire worksheet (3 exclamation marks). I opened the Task Manager and became aware of the problem: Maple 13 obviously does NOT use any CPU ressources. The "maple.exe *32" uses ~1-4% of one CPU core and only 45.000KB of RAM. Its not really changing...

restart:
with(student):
with(linalg):
# system of linear equations
A := array(evalf([[2, -1, sqrt(2)], [3, 2, -3], [3, sqrt(2), -15/7]])):
B := array(evalf([5 + 7*sqrt(2), -24, -12 - 3*sqrt(2)])):
B := `<,>`(B):
print(A):
print(B):
N := 3:
t := 1*10^(-6):

for j from 1 to N do
for k from j to N do
S := 0:
for i from 1 to N do
S := S + A[i,j]*A[i,k]:
end do: # end of i
C[k] := S:
end do: # end of k
C := 0:

Hi friends,

I have plotted a 3d function by plot3d (z=f(x,y)) , but at the same time I need to know the values of z and also the relevant x's and y's. In fact, when I extract z's from it via "op" function, I don't know to which (x,y) it relates. The only thing I get is the range of x,y, for example 1..5.

Thanx!

Hello all

I am new to maple. I am calculating a mutual information for a continuous distribution over a set of five elements. To approximate the continuous distribution I loop over percentage of integers from 0.01 to 0.99 in steps of .01 For five number this is like 10^10 iterations. Given two restrictions p_1+...+p_5 = 1 and p_1 <= ... <= p_5 this is reduced to something less than 10^7 iterations for the innermost loop. Still this process is very slow. (Well...

Hi, everyone,

I am dealing with a simplified model of my real problem. Here is the function definition

f:=(x,lambda)->min(x lambda,0)

I can plot this function in plot3d:

plot3d(f(x,lambda),x=-2..2,lambda=-2..2, axes=boxed)

but if I try to plot the derivitive of this function w.r.t. lambda (which is a discontinuous function) by:

plot3d(diff(f(x,lambda),lambda),x=-2..2,lambda=-2..2, axes=boxed)

I get error message: Error, (in PiecewiseTools:-Convert...

Sorry, but I am novice at all. I could make the pkt list. But how can I plot the Function with the optimized parameters and the pkt-list into one diagram? Thanks a lot. Walter

Given Datas:

xd := Vector([0, 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 500, 750, 1000, 1250, 1500, 1750, 2000, 2500, 3600])

yd1 := Vector([0, 6.24, 11.26, 14.9, 17.58, 20.01, 22.0, 23.56, 24.85, 26.03, 27.36, 35.07, 39.4, 42.61, 44.36, 45.79, 46.62, 46.9, 47.79, 48.85])

Given function: (looks a little different in Maple, but copy and paste did not work)

<maple>F2 := proc (x) options operator, arrow; K2*(1-(T12-Tv2)*exp(-x/T12)/(T12-T22...