1.I want to plot (x-x0)^2 from x=0..10 with a value for x0 in the plot function not in the procedure. The procedure should 

test x against x0 and if x<x0 then y=0 else y=(x-x0)^2

2.Is it possible to use explore and use x0 as a slider?

Regards

Staffan

http://mathforum.org/kb/message.jspa?messageID=685890

i find equation above

for ii from 0 by 5 to 365 do
eq1 := x^2 + y^2 = arccos(x/r);
eq2 := y = evalf((atan(-1) - ii*Pi/180)/Pi)*(-1.0)*x;
xy := fsolve({eq1, eq2});
print("M",rhs(xy[1]),rhs(xy[2]),","):
od:

but i do not understand how to set r

i use a line scanning 365 degrees to get the path of swirl 

would like to get path data for c# WPF animation

but this method may have multiple solution because an intersection of swirl 

and a line can have multiple points

how to change rotation angle into slope of line?

with(MTM):
evalf(solve(atan(-1) - 45*Pi/180 = atan(x), x))*180/Pi;

above can not be solved

if angle is 30 degree

is following correct?

with(MTM):
angle := 30:
evalf((atan(-1) - 30*Pi/180)/Pi)*(-1.0);

Hello people in mapleprimes,

I have a question:
What are you doing when you use maple in calculating, for example, your paper,
to avoid missing, for example, variables you use, or for your needs to look back the outcomes you obtained before?
If this is a paper-using work, on considering what to do next, you will read some pieces of papers you wrote and
on which you had calculated and obtained necessary equations. But, with small monitor 13 inch, and with
inconvenience of dealing with things in PC, compared with papers, I feel some stress in using maple in writing a paper.
So, now, I am asking you what kind of methods you has devised to make what you are writing compact and easy,
for you to handle with what you are writing.

I know surely that there are the document block, which enables output or input to not be shown, the workbook,
which is helpful in putting attached worksheets or jpg files together at one workbook, and the distinction of ":" and ";",
which in the case of the former, hides expressions in the outcome.

But, yet, I want to ask you about the ways you use to make it easy to write something.
If you have some, I will be very glad if you show it here.

Best wishes.

taro

The Saturday edition of our local newspaper (Waterloo Region Record) carries, as part of The PUZZLE Corner column, a weekly puzzle "STICKELERS" by Terry Stickels. Back on December 13, 2014, the puzzle was:

What number comes next?

1   4   18   96   600   4320   ?

The solution given was the number 35280, obtained by setting k = 1 in the general term k⋅k!.

On September 5, 2015, the column contained the puzzle:

What number comes next?

2  3  3  5  10  13  39  43  172  177  ?

The proposed solution was the number 885, obtained as a₁₀ from the recursion

where a₀ =2.

As a youngster, one of my uncles delighted in teasing me with a similar question for the sequence 36, 9, 50, 55, 62, 71, 79, 18, 20. Ignoring the fact that there is a missing entry between 9 and 50, the next member of the sequence is "Bay Parkway," which is what 22^nd Avenue is actually called in the Brooklyn neighborhood of my youth. These are subway stops on what was then called the West End line of the subway that went out to Stillwell Avenue in Coney Island.

Armed with the skepticism inspired by this provincial chestnut, I looked at both of these puzzles with the attitude that the "next number" could be anything I chose it to be. After all, a sequence is a mapping from the (nonnegative) integers to the reals, and unless the mapping is completely specified, the function values are not well defined.

Indeed, for the first puzzle, the polynomial f(x) interpolating the points

(0, 1), (1, 4), (2, 18), (3, 93), (4, 600), (5, 4320)

reproduces the first six members of the given sequence, and gives 18593 (not 35280) for f(7). In other words, the pattern k⋅k! is not a unique representation of the sequence, given just the first six members. The worksheet NextNumber derives the interpolating polynomial f and establishes that f(n) is an integer for every nonzero integer n.

Likewise, for the second puzzle, the polynomial g(x) interpolating the points

(1, 2) ,(2, 3) ,(3, 3) ,(4, 5) ,(5, 10) ,(6, 13) ,(7, 39) ,(8, 43), (9, 172) ,(10, 177)

reproduces the first ten members of the given sequence, and gives -7331(not 885) for g(11). Once again, the pattern proposed as the "solution" is not unique, given that the worksheet NextNumber contains both g(x) and a proof that for integer n, all values of g(n) are integers.

The upshot of these observations is that without some guarantee of uniqueness, questions like "what is the next number" are meaningless. It would be far better to pose such challenges with the words "Find a pattern for the given members of the following sequence" and warn that the function capturing that pattern might not be unique.

I leave it to the interested reader to prove or disprove the following conjecture: Interpolate the first n terms of either sequence. The interpolating polynomial p will reproduce these n terms, but for k>n, p(k) will differ from the corresponding member of the sequence determined by the stated patterns. (Results of limited numerical experiments are consistent with the truth of this conjecture.)

Attached: NextNumber.mw

I would like compute the vertices of the convex hull of finitely many points in some \mathbb{R}^{n}, where the coordinates of these points could be rational numbers or irrational numbers like \sqrt{2}.

I know that PolyhedralSets[ConvexHull] is a direct command, however it does not support irrational numbers. But if I transform all coordinates into floating point numbers, for some rational numbers the rounding error would be large enough to affect the result. For example, after the transform some collinear points are no longer collinear.

Thanks!

Dear All

I need to reduce system of differential equation system into triangular system which I came to know can be done using Maple package "DifferentialAlgebra", but I do not know how to use this package for triangularization.

The differential system is DetSys derived from  some PDE:

Download [1117]_Symmetries_determination.mw

Regards

USB and or RS232 porting from inside maple console. Title explains what i need, or how to port an externally built java app into the maple console, either which will engine my dispatch tonight

Hello everybody!
I have a PDE with initial and boundary conditions. I want to plot its solution by taking "t" as x axis. I have seen the documentation. It only has the space variable on x axis. Please show me a way to achieve what I intend.

here is the file pdsolve.mw

The value of x can be chosen as 0.16 or 0.21

I wish to define a function which is the derivative of another function.

> f:=(x)->x^2:

> g:=(x)->diff(f(x),x):

> g(x);

2 x

> f(2);

4

> g(2);
Error, (in g) invalid input: diff received 2, which is not valid for its 2nd argument

I cannot find a way in which I can define the function g, using the functional operator, so that I can actually evaluate g(x).

How can I do this?

i think i might have asked this before for another thing if so im sorry but anyway i think its @ or something, i would like to plot the final output here indexed against th

Download mapleprimes90916.mw

e number of iterations of Y conducted besides the original performed on the empty set

I am trying to solve a PDE using pdsolve-numeric. I am getting an error related to boundary conditions.
Please see the follwing worksheet and suggest me some solutions

pdsolve.mw

hi every one, i want to get derivative with sacalar function psi, first time ordinary derivative and second time covariant derivative , how should i write that ?!

I would like to use the angle symbol to represent polar numbers (phasor notation for electrical engineering. In other words, I would like to enter 10<30 instead of polar(10, pi/6). Also, I would like the results displayed with the angle notation.  Is this possible in Maple. In the "other package" by PTC this is trivial. Even on a TI graphing calucator it is trivial. Someone please tell me it is possible in Maple.

For computation, Maple is great. For presentation, there is a lot to be desired. 

Thanks.

While debugging something unrelated to Maple, I noticed in Windows task manager that the process

C:\Program Files\Maple 2016\jre\bin

had a Memory(Private Working Set) of 2,251,088K - roughly 10x the memory footprint of any other running process.

Is this normal?

Not a real issue for me (machine has 16G ram) - but it just *looks* wrong

In case it matters I'm running Maple 2016.1 on Win7, 64bit