**Euler Equations**I need the help of the experts in the group, please. I have both a 49G
and 49G+. I need to know if it is possible to enter (e^jwt) into the
calculator and get the sine and cosine values and vice versa as in the
Euler equations. I know that the TI-89 can do this, but I can not
figure it out on the HP.
This may sound easy to some, but I am an EE major and in a lot of
classes, we switch back and forth between the time domain and the
frequency domain and it sure would be handed to be able to do on the
calculator.
Thanks in advance.
Al Hughes
"Al Hughes" <achugh1@pop.uky.edu> wr...

**Euler Equation of fluid flow**Hello All,
I am attempting to produce a model (of the urethra) and need to
implement the euler equation. Has this been done before? If not, could
anyone recommend how best to do it?
Many Thanks,
Chris
...

**euler's equation**This is what im told to do:
Euler’s equation defines e raised to an imaginary power in terms of
sinusoidal function follows
e^(-j*theta)= cos(theta) + jsin(theta)
Create a two dimensional plot of this function as θ varies from 0 to 2π.
Create a three-dimensional line plot using plot3 as θ varies from 0 to 2π
(the three dimensions are real part of the expression, the imaginary part
of the expression, and θ.
This is what I did:
theta = 0:pi./2:2*pi;
x=e(theta)
x= cos(theta) + j*sin(theta)
fprintf('The exponential is: %f', e(-j*...

**orthogonal eigenfunctions of an euler-bernoulli beam**I am trying to compute the orthogonal eigenmodes of an euler-bernoulli
clamped-free beam. After solving the characteristic equation, and
normalizing the functions to be equal to one at the free boundary when
I try to show that the scalar product of two eigenmodes is zero maple
gives a complex result.
A minimal example is the following. f1 is the first eigenmode, and f2
is the second one, both are orthogonal then
>f1:=.3670477570*sin(1.875104069*x)-.3670477570*sinh(1.875104069*x)-.5000000000*cos(1.875104069*x)+.5000000000*cosh(1.875104069*x):
>f2:=-.5092336595*sin(4.69409113...

**nontrivial solution of Euler-beam problem?**Hello,
When I try solve Euler beam ( without time, with nondimensional coordinate)
---
euler = F''''[x] + Pi^4 om2 F[x];
sol = DSolve[{euler == 0, F[0] == 0, F[1] == 0, F''[0] == 0, F''[1] == 0.0},
F[x], x];
---
Mathematica calculated only trivial (F=0) solution, for any om2
Is it possible to obtain different modes
looks like
F_n[x]=A_n Sin[n Pi x] ?
This function simply satisfy euler==0 equation with above
boundary conditions for om2=n^4
Regards, Olaf
Hi,
you try to solve an eigenvalue problem. An eigenvalue
problem has...

**Help with ode45 formatting -- Euler Equations of Motion**Hi Everyone,
I'm a current college undergrad and a relatively new user to the Matlab environment. Over the past couple of months I've been developing a system of equations for modeling a rotating body using the Euler equations of motion. I now have a set of six equations (including the reduction of order variables) to be able to use the ODE45 solver. I downloaded an example from this site to get me started with the ODE45 format, and it's been working well so far.
But, here's my question: I know that ODE45 expects equations of the form y'=f(t,y). The problem is that, w...

**ordinary differential equations plot3 euler method marker**I made a function named myeuler.m
it plots trajectory start from (1,1,1),the problem is to denote the
starting point(1,1,1)with '*',and mark the direction of trajectory.
function myeuler(a)
%a is a 3by3 matrix,e.g.[1 2 3;-1 2 0;-1 0 9]
y=ones(3,1001);%initial point is (1,1,1)
dt = 0.001;
t=0:dt:1;
for n = 1:(1/dt)
y(:,n+1) = y(:,n) + dt*a*y(:,n);
end
plot3(y(1,:),y(2,:),y(3,:),'r');
axis square;grid on;
xlabel('x','fontsize',12);
ylabel('y','fontsize',12);
zlabel('z','fontsize',12);
...

**euler's equations in rigid body rotation**Dear Group,
Does anyone know of a matlab program that will solve euler's equations of
motion for a rigid body in 3 dimensions?
Thanks
anton
anton jopko wrote:
>
>
> Dear Group,
> Does anyone know of a matlab program that will solve euler's
> equations of
> motion for a rigid body in 3 dimensions?
> Thanks
> anton
>
An idea...
No, but they are easy to solve by some ode-solver in matlab ode113
perhaps.
Write the equations down on a paper. Normally if you have a second
derivative x''(t)=f(x,x') then substitute y(t)=x'(t), so that x''...

**equation numbering for multipart equation**How can I get separate equation numbering for equations like in "cases"
environment?
For example:
\begin{equation}
f(x)=\begin{cases}
\frac{1}{2} \\
x^2 \\
1
\end{cases}
\end{equation}
should look like
1/2 (1.1)
f(x) = { x^2 (1.2)
1 (1.3)
The lines in my real problem are quite complicated and have different
heights.
Further, I would like to be able to refer to the labels, and the labels
should align at the right margin of the text, just like with usual
equation numbers.
Any help appreciated!...

**Equation numbers only on referenced equations**Hello,
When I typeset a document with equations, I like that only those
equations that are referenced somewher in the text are numbered. Is
there any way to do that automagically, from the \ref{} tags found,
instead of having to manually change equation for equation*?
I've searched the web extensively, but haven't found any clue.
Thanks in advance,
V=EDctor
V�ctor Zabalza wrote:
> Hello,
>
> When I typeset a document with equations, I like that only those
> equations that are referenced somewher in the text are numbered. Is
> there any way to do that automagically...

**Scaling equations/Spacing in equations**Hello,
I have two different problems with equations in latex.
First I would like to scale some of my equations. Everything I tried,
caused the numbering to be scaled. I found no way to suppress the
scaling of numbering. (I tried to set the size by the fontsize command
and with a scalebox). How can I scale my equation without scaling the
numbering?
The second problem is the space between the variables. Currently I'm
using \; to define spacing between two variables. Does someone know a
good solution to solve this problem without using a spacing command by
a global setting or special rules t...

**use equations out of list of equations**Hello,
I have solved a system of equations in MuPAD with linsolve, and as result I get a list of equations e.g.
[a = c/2 + d/2, b = - c/2 - d/2].
I am able to index the list and get the single entries (equations) e.g.
a = c/2 + d/2
but I cannot use them for my next calculation steps.
Is there a way to get only the right hand side of these equations, that I can use them for further calculations?
Thank you for your help.
"Marcus " <lrt49861@stud.uni-stuttgart.de> wrote in message <hdtilc$inf$1@fred.mathworks.com>...
> Hello,
>
> I have solved a system of equa...

**Excel equation to Access Equation**Is the any way to convert an equation in Excel to something Access will
understand other than manually rewriting the code?
Basic equation has several *MOD(A,B) and several IF(AND(C,D)...
simply changing MOD(A,B) to (A MOB B) and changing
IF(AND(C,D)... to IIF(C AND D)... does not do the trick. I suspect I'm having
parentheses problems. A, B, C, and D are themselves complex equations.
Chuck
On Thu, 07 Jun 2007 13:56:16 -0400, Chuck <libbeyc@schoollink.net>
wrote:
No, you're on your own.
-Tom.
>Is the any way to convert an equation in Excel to something Access will
>un...

**Very simple number equation does not equate.**Dear matlab gurus,
I encountered a very puzzling problem. 0.2+0.2+0.2+0.15+0.05 clearly adds up
to 0.8. But on matlab R2007b, it does not equate. Why? I have been tearing
my hair apart as this problem looks so simple and yet elusive. Could some
matlab guru enlighten a newbie like me?
Below are what appears on my matlab screen;
>> 0.2+0.2+0.2+0.15+0.05==0.8
ans =
0
>> 0.2+0.2+0.2+0.14+0.06==0.8
ans =
1
>> 0.2+0.2+0.2+0.2==0.8
ans =
1
"sun" <sun@gmail.com> wrote in message <h2qav3$7um$1@reader01.singnet.com.sg>...
> Dear ma...

**Matlab program of gaussian beam (2D or 3D) using helmholtz equation**i want to write Matlab program of gaussian beam (2D or 3D) using helmholtz equation.... if anyone could give the full program, that will help me to do my project work......
thank you :)
"Debashis Roy" <deba4u@ymail.com> wrote in message <lhv04i$6sf$1@newscl01ah.mathworks.com>...
> i want to write Matlab program of gaussian beam (2D or 3D) using helmholtz equation.... if anyone could give the full program, that will help me to do my project work......
>
> thank you :)
If anyone could give the full program, they WILL do your project work, not just h...

**Matlab program of gaussian beam (2D or 3D) using helmholtz equation #2**i want Matlab program of gaussian beam (2D or 3D) using helmholtz equation.. help
"Debashis Roy" <deba4u@ymail.com> wrote in message <lhv0dn$7ja$1@newscl01ah.mathworks.com>...
> i want Matlab program of gaussian beam (2D or 3D) using helmholtz equation.. help
Look at this link:
<<http://en.wikipedia.org/wiki/Helmholtz_equation>>
It might help.
...

**GODUNOV AND ROE METHODE FOR RIEMANN PROBLEM for eulers 1-d equation with matlab code**Basiclly i am working on Robert paper 'slowly moving shock' so i need matlb code for
Godunov ,roe,Osher's scheme
...

**spacing etc. with equations and equation arrays**Hello all,
I'm a little frustrated by two things in Latex, and I haven't been able
to figure out how to deal with them by looking online.
1) I would like to be able to leave a blank line in the code before and
after equations. That makes it much easier to find things when I'm
looking for them during editing. The trouble is that when I do that it
inserts spaces in the DVI file as well, or indents the following line
so that it looks like the start of a new paragraph.
2) When I use the equation arrays, the lines are often very strangely
lined up, and it looks bad. For instance, the...

**difference equations to solve wave equation**i am new in matlab. Can any one help out in how to solve a the wave equation using finite difference methods(Say the five point method). I will be grateful. Thanks
On May 13, 3:42=A0pm, "Kayanja Andy" <kayanja.and...@yahoo.com> wrote:
> i am new in matlab. Can any one help out in how to solve a the wave equat=
ion using finite difference methods(Say the five point method). I will be g=
rateful. Thanks
what have YOU done so far to solve YOUR particular problem...
us
"Kayanja Andy" <kayanja.andrew@yahoo.com> wrote in message
news:hsgvjc$c11$1@f...

**Given an iterative equation to solve an equation**An iterative equation for solving the equation x^2-x-1=0 is given by
x(r+1)=1+(1/x(r)) for r=0,1,2,...
Given x0=2, write a Matlab script to solve the equation. Sufficient accuracy is obtained when abs(x(r+1)-x(r))<.0005.
I am a new to Matlab and I am having a hard time really even starting this problem. I was thinking that using some sort of loop until the accuracy condition is met would work. Any help would be much appreciated.
Thanks in advance,
Jacob
"Jacob" wrote in message <kdf58n$958$1@newscl01ah.mathworks.com>...
> An iterative equation for solvin...

**Abbreviations for begin{equation} ... end{equation}**Is it OK to define the abbreviations
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
to save some typing ? And can \def be used in lieu of \newcommand?
Thanks
carlos.felippa%colorado.edu@gtempaccount.com wrote:
> Is it OK to define the abbreviations
>
> \newcommand{\beq}{\begin{equation}}
> \newcommand{\eeq}{\end{equation}}
>
> to save some typing ? And can \def be used in lieu of \newcommand?
Why not try it? If it works you may use it. If not, and you don't understand
why not, post a minimal complete example with the e...

**Single equation number for system of equations**Hello,
I have a system of equations (actually several of them) of the form
\begin{align}
a &= b \\
c &= d \\
e &= f \\
g &= h,
\end{align}
I would like to use a single equation number for the complete system. I
was wondering if there is an environment similar to align that will have
a single equation number that is centred automatically. (The solutions I
found by searching suggest using \notag after some of the lines in
align, but this is a bit inconvenient and doesn't make it possible to
centre the equation number when there are an even number of equations.)
Szab...

**How to plot equations like this equation in matlab?**Hi
I want to know how I can plot some equation like this equation like
this:
x^3+ zyx^2+z^2yx+y^2xz+xyz+y^3+z^3=0
By and large how I can plot equation without parametrization in
matlab.
Thanks.
"F.Vesali" <farshad.vesaly@gmail.com> wrote in message <ad978129-7f90-4685-b8d9-dc536dc63a31@r24g2000yqd.googlegroups.com>...
> Hi
> I want to know how I can plot some equation like this equation like
> this:
> x^3+ zyx^2+z^2yx+y^2xz+xyz+y^3+z^3=0
> By and large how I can plot equation without parametrization in
> matlab.
> Thanks.
a hint:
help ezplot; ...

**Equation number to left side of the equation**Hi all, i wanted to do the following with (6) in the same line as the
rest.
How on earth is that done?
\setcounter{tmp1}{6}
\begin{list}{(\arabic{tmp1}) }
\item \begin{eqnarray*}
\rho r(S \backslash A^{\star}) & = & |S| - |A^{\star}| - \rho ^{\star}
S + \rho ^{\star} (A^{\star})\\
& = & |S| - \rho ^{\star} S = \rho S.
\end{eqnarray*}
\end{list}
Btw, im a complete noob in latex so a ready text to copy/paste is the
only way you can help me :/
Thx a lot in advance!!!
Xew
if you don't want to hack latex, I think it's easier to just use
amsmath package
a...