I was wondering if anyone could explain the theoretical reason (ie derive the
expression for the probability) why the optimal solution for the secretary problem
with n=100 is equal to 100/exp(1) and the probability is (1/exp(1))*100

Robert Israel tend to be good at these kind of things....:-)

The problem can be stated as follows (wikipedia):

 1. There is a single secretarial position to fill.
 2. There are n applicants for the position, and the value of n is known.

hello everybody

i want to know how can i solve this equation

64(a-b+c+d+e+f+g)=32(b-a-c-d-e-f-g)=16(7c- a-b-d-e-f-g)=8(15d-a-b-c-e-f-g)=4(31e-a-b-c-d-f-g)=2(63f-a-b-c-d-e-g)=127g-a-b-c-d-e-f

please heeelp me

how do you calculate the inverse of a matrix A??

Is it Inverse(A) or inv(A)? Do I have to call [with (Matlab):]??

Hello Samir,

Could you explain me what this circuit couldn't be simulated if I replace the default fluid properties to the water's ones? The default fluid is an hydraulic oil, but for water (density = 998 kg/m^3, bulk coefficient = 2.2 10^9 Pa and cinematic viscosity = 10^-6 m^2/s) the simulation gives unsuccessful results. I tried with several solver with similar results.

Moreover, similar behaviours I experimented if I include chamber components into the hydraulic circuits.

Is there a way that I can plot this in Maple?

The question is:

Shade the region of the complex plane for which  (I*z-1)/(z-I)  is real.

This is real when x² + y² = 1 and (x,y) ≠ (0,1). How can I plot both of these things on one plot in Maple?

Codewords:=proc(L,x,y,z)
local
List:=[];

if L=S then
if x=1 then

print(`A 1 j k`);
else
print(`A 0 j k`);
fi:


if y=1 then

print(`B i 1 k`);
else

print(`B i 0 k`);
fi:
if z=1 then
print(`C i j 1`);
else

print(`C i j 0`);
fi:
fi:
if L=A then
if x=1 then

print(`S 1 j k`);
else

print(`S 0 j k`);
fi:

if y=1 then

print(`C i 1 k`);
else

print(`C i 0 k`);

How can I sort a list with radicals?

a:=[sqrt(8),sqrt(2),sqrt(39),-sqrt(5),sqrt(26)]

sort(a) returns the same list in the same order. 

Hi to you all, I'm brand new to this forum and I hope you could help me.

I wrote a Maple14 worksheet which perform data analysis, reading information from a set of file (usually 50 files) coming from an acquisition device. They are text file but the acquisition software produce them in the form:

namefile-0Ep.irr, namefile-1Ep.irr .... namefile-49Ep.irr

where "namefile" is the name I choose when i start the acquisition.

In order to perform...

I solve system of ordinary differential equations numerically by method=rkf45 (Runge-Kutta Fehlberg method).

1. Maple 13 installed on the Linux x64. Processor – AMD Phenom (4 cores). When Maple computes it uses only one core but other three cores stand idle. How to impel to compute other cores?
2. When I solve system of ODE a calculation reaches closely 1 ns and stops. Maple writes that value of Maxfun exceeded. But I need solve system up to 10 μs....

Hello

I am trieng to solve an equation which has two solutions. but maple cant tell all of them at once. I have to change the range.

los := fsolve(2.062648062*10^(-8)*sqrt(8.607207774*10^11*x+2.976566118*10^18-5.312602135*10^9*x*ln(x))-0.1721820163e-1*sqrt(x)-30. = 0, x = 10^5 .. 10^9)

gives me

los := 1.296433174*10^5

and

los := fsolve(2.062648062*10^(-8)*sqrt(8.607207774*10^11*x+2.976566118*10^18-5.312602135*10^9*x*ln(x))-0.1721820163e-1*sqrt(x...

Hi! I've tried to figure out what to do with plot([sin^2(x),line(x)],x=-2*pi..2*pi,y=-.1..1.1,tickmarks=[spacing(pi),default});

Warning, unable to evaluate 1 of the 2 functions to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct.

original problem is f(x)=sin^2(x). I had to plot with the tangent line.

I played aorund a bit with the "Insert Table" command and it seems to create just an inert object that cannot be accessed or operated upon except directly by typing into its boxes. Is that true? Is it just for word processing?

Is there also a possibility to fill the region (area) between for example the curves x^2 and x^3? I can not find it and I am afraid it is not possible.

Hello

i want to solve this equation

but i couldn't

please help me

( x mod 5656 = 565 ; x mod 565 = 56)

Why the command

does not return eps???

How can I simplify expressions like this?