If a function is differentiable at some point c of its domain, then it is also continuous at c. However here we extend the notion of differentiability to be valid for individual points on the real number line, specifically positive integers.

 f(n)=(-1)^n* n^(1/n)

THEOREM MRBK 8.0

f=f' / (I*Pi+(1-ln(n))/n^2)| n ∈ {1,2,3,...}

By THEOREM MRBK 4.0, When n is in the set of (positive) integers the derivative of f is exactly I*Pi*f+(1-ln(n))*f/n^2.

So f' = I*Pi*f+(1-ln(n))*f/n^2| n ∈ {1,2,3,...}

Solving for f, we have the following:

f' = I*Pi*f+(1-ln(n))*f/n^2

f' = f*(I*Pi+(1-ln(n))/n^2)

f=f' / (I*Pi+(1-ln(n))/n^2)

 

For more on this click here (W/A).

Points and lines, and the relationships between them, are essential ingredients of so many problems in, for example, calculus. In particular, obtaining the equation of the perpendicular bisector of a line segment, dropping a perpendicular from a point to a given line, and calculating the distance from a point to a line are three tasks treated in elementary analytic geometry that recur in the applications....

I spend much of my time traveling for business. These trips often last a week, and we try to visit as many potential customers as possible, and in the most efficient order. This involves matching our hosts' calendars with our own, booking the most cost effective travel options, and coping with last-minute cancellations and changes. It isn’t easy!

This has become so much easier with the advent of shareable calendars and mapping services, like Google Maps. ...

A long while ago, I wrote a couple posts (part1 and part2) about mining data from the US SSA website.  I subsequently adapted the code from those blog posts into a visual application with sliders and interactive plots.  If you have played with the new ?MapleCloud functionality in Maple 14, you may have seen it posted already.

Hello,

I cannot understand the behavior of complexplot in the following...

Suppose you do the following:

> f := (x,y) -> sin(x+I);
> g := (x,y) -> cos(x+I);
> complexplot([f(x,y), g(x,y)],x=-2..2,y=-2..2,color=[red,green]);

This will plot two functions in red and green respectively.

Now, I redefine the functions to return a constant:

> f := (x,y) -> sin(I);

There is a proper function of Maple to perform matrix left division?
This procedure is right for the calculation of the uncertainties of the coefficients?
There are large these uncertainties?
Comment?

My question is this: 

In with(DifferentialGeometry): with(JetCalculus) with(Physics):

I work with the following Jet Bundle:

DGsetup([x], [u, psi], E, 40), 

where psi is declared anticommuting with Setup(anticommutativeprefix={psi}). 

When I work with expressions that are differential polynomials in u with coefficients arbitrary functions of u, the EulerLagrange operator behaves correctly. The same is true if I multiply these expressions by psi or by psi_1 ...

Let

    G:=s->q(1-ps)^(-1)

be a generating function with 1-p=q in (0,1). Then the repeated function composition

    G(G(G(s)));(G@@3)(s);simplify(%);

gives me some concrete expression. What is the simplest way to get the general expression for 3 replaced by n?   

I am recently new to maple software, but I was wondering if someone was able to help me with the following question.

 

I am trying to plot a 3D graph of some function f(x,y,z), I want a contour type-graph with normal axis, and I also have a few points that I want to plot on that graph:  [x1,y1,z1], ... [xn,yn,zn]; how do I do this on a single graph?

 

thanks so much;

I'm not sure if this happens in Maple 13 and up. But in the standard interface, if you hold your cursor over the maple tab at the bottom of Windows or the maple help tab at the bottom until the flyout (only takes a half second or so) and leave it, while it is there your typing in Maple will lag. Just checked the classic interface and it is not affected by this. Can anyone check this in Maple 13 and 14?

How to change this general form to solve :

How to calculate with Maple Fourier coefficients on some numerical valued functions and how to calculate and plot the 3 partial sums :

 

Function B : on the interval [-phi, phi]

f(x)= NUMERICAL (x – phi/2) + NUMERICAL (x+phi/2)

 

Function C : on the interval [-phi, phi]

f(x) =  NUMERICAL (x+phi/2)

I enclose Maple general solution to the PDF heat equation in 1 dimention.

 

I need corrections of it to enable me to calculate the heat equation in certain conditions :

 du(x,t)/dt - d^2/x,t)/dx^2 = ;   t>0, x belongs to interval [0,phi[

with boundary conditions :

u(x,0) = sin(x)cos^2(x) ; x belongs to interval [0, phi)

u(0,t) = 0

u(phi,t) = 0  ;  t is still t>0

This is in the "Product Suggestions" category since there is no better place to report a bug that I could find.

In Maple 14 using the GraphTheory package on isomorphic (but not identical) transitive 3-regular graphs of order 120,

  IsIsomorphic(G1,G2) hangs.  It seems to do okay if the graphs are not isomorphic (returns false), or if they are identical

  in their labeling (returns true).

A suggestion to fix it would be...

Hi all,

 

I get this strange (to me) behavior:

 

interface(showassumed=0);

assume(theta,real);
assume(phi,real);

SourcePosition:=[phi,theta];

parameters:= [SourcePosition[1],SourcePosition[2]]: 
 save parameters, "./parameter.txt";

wanted_par:=[convert(SourcePosition[1],string),convert(SourcePosition[2],string)]: 
save wanted_par, "./wanted_par.txt";

Hello!

 

I wanted to plot Laplace's spherical harmonics, which basicly worked. But now I wanted to add two sliders with which i want to vary m and l. This also works nearly. I can vary l and plot the new spherical harmonic. The variable m has to hold the restriction: -l<= m < = l.

So my question is, how can i synchronise the two sliders, so that when i edit silder l the range for slider m is changed?

 

Thanks for your help!