I need to use subscripts to define a system of equation and its respective variables. I do not encounter any problem when I use solve or Basis (with Groebner package) but when I tried to use RealRootCounting (with RegularChains and SemiAlgebraicSetTools packages), I got the following error message:

Error, (in RegularChains:-SemiAlgebraicSetTools:-RealRootCounting) invalid input: TRDnearsolve expects its 5th argument, vlist, to be of type list(symbol), but received [p[1], x[1], q[1], u[1]]...

Daniel Kahneman - Thinking Fast and Slow

1) A bat and ball cost $1.10.
2) The bat costs one dollar more than the ball.
3) How much does the ball cost?

x+y=1.1; x=cost of the bat, y=cost of the ball.
y=x+1; substituting for y
x+(x+1)=1.1;
2x=0.1;
x=0.05; the cost of the ball
y=1.05; the cost of the bat

The right answer is 5 cents.
The intuitive, appealing, and wrong number is, of course 10 cents.

dicing-with-death-chance-risk-and-health (Stephen Senn)

Mr Brown has exactly two children. At least one of them is a boy. What is the probability
that the other is a girl?

What could be simpler than that? After all, the other child either is or is not a girl.
I regularly use this example on the statistics courses I give to life scientistsworking
in the pharmaceutical industry. They all agree that the probability is one-half.

So they are all...

I was thinking about the area problem, yet again, and found myself asking the question: why must we go through such elaborate means to get Maple to generate a plot of the region between two (or more curves)? I use the word elaborate to describe any process that would might become overwhelming, for, say a student, to go through to accomplish a task. Anyone with the most basic of backgrounds can understand the area problem, but yet, such an individual might not find it a trivial...

Hi,

I have two separate procedures, one which solves a series of ODE's using the midpoint runge-kutta method, and one which solves using the Taylor expansion.

I am able to graph the two results (Q1 vs time) on separate graphs within the procedure, however after "end proc" I can't retrieve the figure or plot the two seperate results on the same graph to compare the values.

Is there an easy way of doing this or do I have to rewrite the procedure to include both methods?

Let us consider the list L:=[$1..10^23]. Which number is greater: the number of the members of L having the sum of its digits in  RealRange(10,99) or the one in RealRange(100,999)? How to find it in Maple?

I want to solve 4 nonlinear equation using maple. I want to find many roots of this 4 nonlinear equation.

I have no idea about initial condition so I use 4 for initial condition. my program is as follow:

f1:=nonlinear equation1(include variable q1,q2,p1,p2);

f2:=nonlinear equation2(include variable q1,q2,p1,p2);

f3:=nonlinear equation3(include variable q1,q2,p1,p2);

f4:=nonlinear equation4(include variable q1,q2,p1,p2);

I know that I have made a simple error, but I do not know why the negative intercept is not plotted in the sample code.

Thnks for any help.

Martin sample3.mw

Hello,

I am brand new, just joined in order to thank a member (gmm) for a publicly searchable MaplePrimes post I discovered in researching the origin of french curves. I linked to gmm's post in a blog post I wrote about the application of conic sections in the drafting of sewing patterns. I tried to send gmm an email...

Dear All,

I am trying to add the following two equations but MAPLE doesn't give me one value i.e. either in cos or sin,  its giving me both so don't know which one to choose sin or cos:

A:= (142.3*cos(w*t))*cos(theta);

B:=(142.3*cos(w*t + Pi/6))*cos(theta+Pi/6);

C:=A+B;

expand(%)

combine(%)

Looking forward to your kind replies.

Best Regards

A.Q

The latest quick update fix for a bug is the fastest fix I have seen in a long time.  A nice surprise actually.

In my travels I happened to come across this ... "Since then, we’ve successfully released a new build of Wolfram|Alpha’s codebase each week, incorporating not only hundreds of minor behind-the-scenes enhancements and bug fixes, but also a steady stream of major new features and datasets."  taken from here

f1 = u1*f1 + u2*f2

f2 = u3*f1 + u4*f2

1. obviously u1 = 1 and u2 = 0 is solution, would like to see an exmaple which exist other solution?

2.

can it be seen as an matrix question such that matrix A := [u1, u2; u3, u4;];

or i should see them separately f1 = u1*f1 + u2*f2 and f2 = u3*f1 + u4*f2 ?

which Maple function calculate this?

3.

if want to determine whether [g1, g2] is member of [f1, f2], u1 = 1 and u2 = 0 can not be solution?...

I have a very strange bug with Maple 16. When I try to start it, Maple loads its shell and starts to consume 100% CPU (maple.exe, not mserver.exe). If I try to calculate something, it throws something like "waiting for server connection". In 3 to 10 minutes Maple suddenly stops doing this and then works normally until I reboot Windows. What's this? Maple 16.0, Windows XP SP3.

PS. I do not have such bugs on my home PC with Windows XP SP2.

hi all,

> e0 := -21+.7*I;
                          -21. + 0.7 I
> e2 := e0;
                          -21. + 0.7 I
> e1 := 3.9;
                              3.9
> e3 := 1;
                               1
> t1 := 10*10^(-9);
                               1    
                           ---------
                           100000000
> t2 := 50*10^(-9);
                               1    
                            --------

I am simply trying to plot three different for loops. 

> a[0] := 100;
> r := 2;
> for n to 10 do a[n] := r a[n-1]) end do;

> b[0] := 100;
> r := .5;                            
> for n to 10 do b[n] := r b[n-1]) end do;

> c[0] := 100;
> r := -1;
> for n to 10 do c[n] := r c[n-1]) end do;

The loops are calculating...