MaplePrimes Questions

Hello everyone, 

I have a question regarding my Spline interpolations. I am not an expert on the theory there, but the maple help tells me that the first derivative of an 3rd degree spline interpolation should exist at the knots. But a derivation returns "undefined" at some of the knots instead. Here is my example:

x(t):=Spline([[0, 0], [1, 1], [2, 2], [3, 2.2], [4, 1.8]],t,degree=3);

returns

x(t):=piecewise(t < 1, .953571428571429*t+0.464285714285714e-1*t^3, t < 2, -0.9286e-1+1.09285714285714*t+.139285714285714*(t-1)^2-.232142857142857*(t-1)^3, t < 3, .65000+.675000000000000*t-.557142857142857*(t-2)^2+0.821428571428571e-1*(t-2)^3, 2.77857-.192857142857143*t-.310714285714286*(t-3)^2+.103571428571429*(t-3)^3);

 

diff(x(t),t);

returns

piecewise(t < 1., .953571+.139286*t^2, t = 1., Float(undefined), t < 2., .814286+.278571*t-.696429*(t-1.)^2, t = 2., Float(undefined), t <= 3., 2.90357-1.11429*t+.246429*(t-2.)^2, 3. < t, 1.67143-.621429*t+.310714*(t-3.)^2);

 

Not defined at t=1 and t=2. Is it possible to get an interpolation of which the first derivative exists at every point? Thank you very much!

 

This command (Student[Calculus1][ShowSolution](Int(e^(-(s-1)*t)))) shows me solutions.

and, the command in the picture can make integral solution but not laplace

so i ask you that what command make solutions for Laplace transform

y'(t)=1-y'(t-y(t)^2 /4),      t>=0

with initial function

y(t)=1+t,   0<=t<=1

please solve

guys 

in the worksheet i attached how can i collect  terms which include 1/w and 1/w^2 only ?

ss.mw

 

best regards

 

 

Sorry for making such a rude, big question. I have to solve these equations, but it's impossible ofcourse with my bad mathematics and even maple skills. Somebody help me pleaseㅠ_ㅠ

 

Differential equations

Hi,

 

Is there a way to export all of the equations (from MapleSim) including the casual equations? I used Multibody Analysis template and Equations template but it only exports the acausal equations.

 

Your help is really appreciated.

Hey there!

I uploaded a solid drawing from a CAD software (like solidworks, inventor, stl files, etc) into Maple using plottools:-importplot("drawing.stl"). 

Also, I know Maple can give me the normal vector (and point of intersection) using line and intersection commands, for example.

Now, is it possible to find a point of intersection (and the normal vector at that point) of a line that crosses the uploaded CAD solid?

I guess that to accomplish that, it would be necessary to somehow "map" the solid and that's the part that I am lost.

Many thanks!

 

 

hello all.

trying to integrate sach equation:

Fun := Diff(f(x), x);

int(Fun, x = 2 .. 7);

waiting that maple give my something like this f(7)-f(2). But it write only integration form.

 

What i need to have f(7)-f(2)?

 

Thanks.

guys,

i have a long term , i can not simpify it more. how  term - 1/w^6 r^2 multiply to every term in parenthese ?JJ.mw

 

 

thanks guys

 

How do I delete me "Current profile picture"?

I just want to have a look what my "default" picture would look like now?

it seems that I can only update with a new picture, but can never go back to the default setting.

 

Thanks!

Let I  be a polynomial in K[A][X] s.t. A is a sequence of parameters (coefficients of f in F) and X is a sequence of variables. I want to extract the variables from ideal I.

For example if I=[(a-1)x*y^2-b+x, x-y+x^2-c] s.t. a,b,c are parameters and x,y are variables. I want {x,y} as the output of algorithm.

How can I decide that a polynomial is univariate? I want an algorithm that gives a polynomial and its output be true if f is univariate, and be false otherwise.

 

please write a program on matlab or maple for this dde

y'(x)=-y(x-pi/2)       0<x<=10

y(x)=sin(x)       x<=0

tau=pi/2

 

IT IS URGENT PLEASE

given a scalar field function f(x,y,z), how to plot it in maple?

I can't find a suitable command, if I missed, please tell me.

thank you for any advice.

i try to calculate function f on laplace and want to know the way tha how to be it calculated

what commands show it?

First 1270 1271 1272 1273 1274 1275 1276 Last Page 1272 of 2434