As the title, how to convert "sin(x)+cos(x)" and this kinds into "sqrt(2)*sin(x+pi/4)"?

Sum of two sine functions with the same cycle should can be converted into one sine function, with some amplitude gain and phase offset. 

How can I join the points on this graph to look like the second graph below.

I'm trying to model a simple pendulum. I have arrived at this code which gives me an animation of a point swinging.

To analyse the pendulum I want to plot a graph of phi against time, but do not know how to take readings from my animation to plot a graph with.

Thanks.

Hi all,

I designed the animation and wanted to display it automatically in the embedded component. Instead of animation toolbar, is it possible to control animation through commands? How do I do that?

 Thanks.

Hello guys, I want maple to show me the time taken to execute the entire 500 loops shown in the code below. I read maple help and was able to come up with the code  (just part of the whole code).

st := time[real]():

for k from 1 to 500 do

  sol := LinearSolve(A, eval(b, [y[0]=y_init,z[0]=z_init])):
  y_init:=sol[9]:
  z_init:=sol[10]:
end do:

time[real]() - st;

my problem is that the time that shows varies/differs if i run it several times. I was expecting the same time interval of calculation. Am I doing something wrong?

CoolProp is an open source C++ library of thermophysical properties for pure fluids, pseudo-pure fluids, and humid air. Ian Bell has recently developed a wrapper for Maple (get the wrapper and library at Github). Compiling CoolProp gives a library (a DLL on Windows) you can call in Maple via define_external().

I started exploring CoolProp a few days ago, and here's a few simple examples of what you can do

The saturation pressure (in kPa) of the refrigerant R134a at 253 K

The pressure (in kPa) of the refrigerant R22 that produces a two-phase mixture of quality 0.3 with an enthalpy of 300 kJ/kg

And since I'm a fan of engineering visualization, here's a refrigeration cycle on a P-h-T chart, generated in Maple with CoolProp.

Here's a Maple application that uses CoolProp to analyze a refrigeration cycle (together with a CoolProp DLL for 64-bit Windows).

Analysis_of_a_Refrig.zip

I'd like to encourage anyone with an interest in thermophysical modeling to download CoolProp and explore its functionality. It's certainly opened up a new field of applications for me.

Samir

I am new to Maple and I have difficulties simplifying expressions like the following: (exp(a+b)+exp(a+c))*exp(-a).

I would expect to see exp(b)+exp(c) but nothing happens when I use the simplify() function.

I googled but didn't find a solution.

Event?

January 2014: Pages of oldest Russian Maple Application Center have been opened 10000000 times.

http://webmath.exponenta.ru/

Hi everyone,

At some point in my calculations, I want to do some simple manipulations wiht the use of the «clickable» features in M17.  For the moment, I can see directy how to do it by hand and I do it by copy-paste and use the mous to change it a little bit.  But I just cannot find a simple way to do it by simple click.

You will find in this attach question, the maipulations I want to do.  It is starting from equaiton (7).  Am I at the edge where it is simple by hand than with the features?

 Space_manipulation.mw

Thank you in advance.

--------------------------------------
Mario Lemelin

Maple 17.02 Ubuntu 13.10 - 64 bits
Maple 17 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

Hello,

I was wondering how (or what is the best way) to write a worksheet in which a change of formula is used when a certain value on the y-axis is reached.

So for example: if there is a mass-spring system with damping in it, I would like to change the value of the damping when the displacement/velocity/acceleration has reached a certain value.
So when I apply a force to the mass-spring system, and the acceleration for example is LOWER than 0.2 m/s^2 I use a value of X % damping, but when the value of the acceleration is HIGER than 0.2 m/s^2 I want to apply Y % damping. So in time the curve will increase (when low damping is used) and the curve will decrease (because high damping is used, because the y-value is higher than 0.2 m/s^2), and so on...

I hope somebody has a 'simple' idea. I know what I want to do, but I don't know how to put this down in a formula which I can write in Maple.

Greetings,
Frank

Hi, i need help. I'm currently working with Taylor and Maclaurin series in Maple. I can easily compute the sum by typing in fx : 

taylor( (e^x,x=0, 5) , and then I get the first 5 numbers of the series. But I would like Maple to write the series as a sum from n =0 to infinity fx.  I can't figure out how to do it. Can it be done? 

Thanks for helping.

Hi,

I want to compute a formula which is too complicated and it contains some variables. So I divide it into several parts. But it always turns out kernel connection has been lost. I looked maplesoft online help system and change the ConnectionType from 0 to 2. But it does not work. So how does this happen and how to solve?

I attach my maple file which appears error.
Thanks a lot!

Regards,

Yan

Dear guys. I want to solve this equation analytically:

diff(Q(t),t)^2 = ln(t)^(b) + b*ln(t)^(b-1)

I think it is impossible. So I assumed that diff(Q(t),t)^2 = diff(P(t),t) and now I can solve it for P(t) easily. I obtained:

P(t) = t*ln(t)^(b)

Now, I want to know that there is anyway to obtain Q(t) using the latter relation and  diff(Q(t),t)^2 = diff(P(t),t) ?

Also I have a function as V(P)=P^(-2). What can I say about the behaviour of V(Q)?

Thanks a lot.

A common spreadsheet computation is to take values in column A in a spreadsheet and multiply by values in column B, e.g. A1*B1=C1; A2*B2=C2.  How do I do this in a Maple matrix?