## Convert to binary number...

Hi, anyone know the command to convert a digit to 8 bits binary number ?

Thanks for help..

## Conditional statements...

I have the following question:

Illustrate how the sequence N->R de fined by n ->n^2/n^2 + 31n + 228 can be shown to be
within a given epsilon > 0 of its limiting value x0.
(a) use an appropriate conditional statement to find N such that abs (xn -􀀀 x0) < epsilon for every n>=N
and produce an appropriate list of the data points (n,xn) to illustrate
this

I found N but without using any CONDITIONAL STATEMENT.Can you help me find N using IF FOR WHILE?

## Critical points...

How can i find the critical points of any cubic polynomial in maple17? I want a general procedure

## How to get back 'Hello'? ...

Hi, may I know how I should write the commands after I convert my 'Hello' to 34 and 27 by using the commands below..

Hope someone can help me, thanks a lot..=]] Have a nice day~

message:=’Hello’;

>Hello

plaintext:=convert(message,bytes);

>[72, 101, 108, 108, 111]

P:=numtheory[cfrac](plaintext);

>9418838187/130799212

M1:=numer(P);

>9418838187

M2:=denom(P);

>130799212

with(Bits):

bitM1:=Split(M1);

>[1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1]

bitM2:=Split(M2);

>[0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1]

with(Statistics):

Count(bitM1);

>34

Count(bitM2);

>27

[72, 101, 108, 108, 111]

## Simplify assuming positive real...

Hello

I have a complex equation EQ, it gives me 4 answers - two complex, one negative and one positive. Which assumptions do i need to use to automatically get one answer - real and positive one?

I tried similary to what I did with real equations:
simplify(solve(EQ)) assuming real, positive
But that didn't work

## Calculating linkage mechanisms

by: Maple 17

The method of solving underdetermined systems of equations, and universal method for calculating link mechanisms. It is based on the Draghilev’s method for solving systems of nonlinear equations.
When calculating link mechanisms we can use geometrical relationships to produce their mathematical models without specifying the “input link”. The new method allows us to specify the “input link”, any link of mechanism.

Example.
Three-bar mechanism.  The system of equations linkages in this mechanism is as follows:

f1 := x1^2+(x2+1)^2+(x3-.5)^2-R^2;
f2 := x1-.5*x2+.5*x3;
f3 := (x1-x4)^2+(x2-x5)^2+(x3-x6)^2-19;
f4 := sin(x4)-x5;
f5 := sin(2*x4)-x6;

Coordinates green point x'i', i = 1..3, the coordinates of red point x'i', i = 4..6.
Set of x0'i', i = 1..6 searched arbitrarily, is the solution of the system of equations and is the initial point for the solution of the ODE system. The solution of ODE system is the solution of system of equations linkages for concrete assembly linkage.
Two texts of the program for one mechanism. In one case, the “input link” is the red-green, other case the “input link” is the green-blue.
After the calculation trajectories of points, we can always find the values of other variables, for example, the angles.
Animation displays the kinematics of the mechanism.
MECAN_3_GR_P_bar.mw
MECAN_3_Red_P_bar.mw

(if to use another color instead of color = "Niagara Dark Orchid", the version of Maple <17)

Method_Mechan_PDF.pdf

## Convergence of a sequence...

I have the following sequence: n2/n2+31n+228.The question asks me to use an appropriate conditional statement to find N such that absolute (xn-x0)<epsilon for every n>=N. I found N but i don't know how to find it using Maple17.Can you please help me?

## Matrix Procedure Query...

Hi. I'm hacing trouble writing a maple procedure for the question below, can anyone help?

Write a maple procedure which takes as its input the vectoeat u1 and u2 and the eigenvectors lambda1 and lambda2 where u1,u2 are element of R^2 and the lambdas are real numbers.

If u1,U2 is linearly independent then the output is the matrix A an element of R^2x2 with the property that Au1= lambda1u1 and AU2=lambda2u2;

if u1,u2 is linearly dependent then the output is the statement "not an eigenbasis".

I I then have two inputs which I have to do but I'm not sure on how to write the procedure. Any help will be much appreciated.

Thanks :)

## Why different results?...

Dear all,

I developed a program to solve f(x, y) = 0 and g(x, y) = 0, I obtained as results (x=2.726, y=2.126) . running the same program another time it gives (x=2.762, y=1.992). how to explain this?

> fsolve({f(x, y) = 0, g(x, y) = 0}, {x = 0 .. infinity, y= 0 .. infinity});

## Complex equations solving...

So have to calculate frequency response of RLC-circuit
Long story short - I can't get how to solve something like this
solve(abs(I+x) = 1)
Obv - the answer is 0 or -I, but i get 1-I, -1-I instead

## Excel 2010 and Maple 17 problem...

It's been a couple of years since I last used the Excel add-in for Maple 17. It was working before, but now it isn't.

When I click any of the Maple icons in the Excel Add-Ins -> Custom Toolbars tab, I get a Visual Basic run-time error 453, "Can't find DLL entry point vbLoadMapleCursor in WMIMPLEX". The only choice in the dialogue is End, after which none of the Maple icons respond.

When I quit Excel after trying this, I get the same error dialogue except the message refers to vbMapleQuit. I select End, and then Excel exits. (If I don't touch the Maple icons during an Excel session, then of course no VB error dialogue referring to Maple pops up.)

An answer to a ten year old MaplePrimes question on the Excel add-in suggests editing the Excel 2010 32-bit path registry entry. Indeed my HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\App Paths\Excel.exe Path key has no reference to Maple. However that info is so old, for Maple 9.5, that I hesitate to use it. I tried though. As suggested in that question, updated for Maple 17, I tried adding ";C:\Program Files (x86)\Maple 17\Excel\" to the end of the existing Path key entry, but I still get the same VB error. I also tried adding ";C:\Program Files (x86)\Maple 17\bin.win\", and both: "C:\Program Files (x86)\Maple 17\bin.win\;C:\Program Files (x86)\Maple 17\Excel\". I tried disabling and reloading the add-in from the Excel Add-Ins menu. Interestingly, even when I disable the add-in, the toolbar icons still show.

Anyway I'm at a loss how to proceed. Any help is appreciated. --Graham

## How to use numeric in dsolve?...

So im trying to solve multiple ODES using dsolve(numeric) but I jsut cant get it to work.

I kep getting this one error:

Error, (in f) unable to store '-HFloat(0.020918994979034728)-HFloat(0.09184018333019917)*I' when datatype=float[8]

This is my uploaded file

(for some reason the uploaded file didnt show the error at the bottom so i just pasted it in the spot it would appear.

 > Given:
 >
 >
 (1)
 >
 (2)
 >
 (3)
 >
 >
 (4)
 >
 >
 (5)
 >
 (6)
 >
 (7)
 >
 (8)
 >
 (9)
 >
 (10)
 >
 (11)
 >
 (12)
 >
 (13)
 >
 (14)
 >
 (15)
 >
 >
 (16)
 >
 >
 > density calculation n/v = (P/RT)*mw_air, kg/m^3
 >
 >
 (17)
 >
 > Volumetric flow, m^3/s
 >
 (18)
 >
 >
 > Superficial velocity, m/s
 >
 >
 (19)
 > Gs constant, kg/m^2-s
 >
 (20)
 >
 (21)
 >
 >
 >
 > Void fraction, epsilon,b
 >
 (22)
 > hi
 >
 (23)
 > kinetic parameter
 >
 (24)
 >
 (25)
 > thermal conductivity calculations
 >
 (26)
 >
 >
 (27)
 >
 (28)
 > Heat of reaction (deltaH), Find heat of formation for each reactant and product--> dHrxn = heat of formation(product)-heat of formation(reactant)
 > heat of formation = A + B*T + C*T^2
 >
 (29)
 >
 (30)
 >
 (31)
 >
 (32)
 > Solving nodified Ergun Equation
 >
 (33)
 >
 > Determining U of the wall and Ueffective
 >
 >
 >
 (34)
 >
 >
 (35)
 >
 (36)
 >
 (37)
 >
 (38)
 >
 (39)
 >
 (40)
 >
 (41)
 >
 >
 Error, (in f) unable to store '-HFloat(0.020918994979034728)-HFloat(0.09184018333019917)*I' when datatype=float[8]
 >
 >
 >

## How can this error be corrected...

Hello everyone, how can this error be corrected

pde.mw

Thanks.

## Completely different results ...

I'm not really an expert in maple. I'm stuck with a problem that could be related to the precision of the computational engine...

I defined a function which is relatively complicated as follows:

m := proc (x, l, T) options operator, arrow; (exp(l*(x-T)/(1-exp(-l*T)))*exp(l*T/(1-exp(-l*T)))*(1-exp(-l*T))+(2-exp(-l*T)-exp(l*T))*exp(l*(x-T)/(1-exp(-l*T))))/(exp(l*T)-1)-(l*(x-T)*exp(l*(x-T)/(1-exp(-l*T)))-2*exp(-l*T)+4-2*exp(l*T))/(exp(l*T)-1) end proc

whenever i simplify the equation or factor some of the terms, I get completely different results.

As an example, you can define this function as follows

m := proc (x, l, T) options operator, arrow; (exp(x*l/(1-exp(-l*T)))*(1-exp(-l*T))+(2-exp(-l*T)-exp(l*T))*exp(l*(x-T)/(1-exp(-l*T))))/(exp(l*T)-1)-(l*(x-T)*exp(l*(x-T)/(1-exp(-l*T)))-2*exp(-l*T)+4-2*exp(l*T))/(exp(l*T)-1) end proc

By drawing the function, you can see how things get messy.

plot(m(450, (1/250)*x, 250), x = 0 .. 100)

I know the problem occurs as a results of computation round-off. How could I ameliorate that? I have already increase the precision in the option menu, but that didn't help. By the way, how can I be sure that the anwers maple gives me is correct, except using my intuition?