Items tagged with division

Hello,

I am working on a Dirichlet breakdown of primes. I need a way to check if a number is part of anothers number factorization.

Example: 30 = 2*3*5.

2 is therefore part of the ifactor of 30. 4 and 7 are not.
How do I check if, for instance, 7 is part of de factorization of 390?

Thanks in advance.

For remainder of division of a (multivariable) polynomial to several polynomials at a same time one can use NormalForm in Maple. It is easy to write a procedure to also show the division but I wonder if there is any determined command such as NormalForm for this aim?

Hello,

I have two equations (1) and (2) and i want to divide (2) with (3). A good point is that Maple understand division with equations. Nevertheless, I didn't obtain a simplified solution.

Here my code :

restart;
eq1:=-sin(alpha0(t))*cos(beta0(t)) = -sin(alpha[1](t))*cos(beta[1](t));
-sin(alpha0(t)) cos(beta0(t)) = -sin(alpha[1](t)) cos(beta[1](t))
eq2:=cos(alpha0(t))*cos(beta0(t)) = cos(alpha[1](t))*cos(beta[1](t));
cos(alpha0(t)) cos(beta0(t)) = cos(alpha[1](t)) cos(beta[1](t))
simplify(eq1/eq2,trig);

Here the result obtained :-sin(alpha0(t))/cos(alpha0(t)) = -sin(alpha[1](t))/cos(alpha[1](t))

Consequently, I would like to obtain tan(alpha0(t))=tan(alpha1(t))

Do you have ideas why I didn't obtain a simplified result ? And How can I obtain the solution with tangents ?

Thank you for your help

I was looking for help on polynomial division using Maple via google. But I am having hard time deciphering this web page on quo command. Is this syntax supposed to work on some Maple version?

http://www.maplesoft.com/support/help/Maple/view.aspx?path=Task/QuoAndRemOfPolynomialDivision

 

 

I also do not understand how the polynomial and the divisor are "entered" without it being assigned to variables like this. I thought it was the browser, but  I tried both Chrome and Firefox and they both show the same page.

Is the above using some new Maple product? I am using Maple 2015 on windows and I get an errors trying to type the above on my Maple worksheet.

 

cheese_division.mw

3 different dia circular cheeses. same depth. minimize cuts such that its divided equaly among four people.

can be done in 3 cuts. can evem be done in 2

 

 

 

 

 

 

could some erudite richard provide maple solution to this Q. thx

 

 

How can i solve the problem? (Error, (in f) division by zero)

 

restart;
f := proc (z, n) local x, i, k, j;
for i to n
do
if i = n then x[i] := trunc(z/10^(n-1))
else x[i] := trunc((`mod`(z, 10^i))/10^(i-1))
end if
end do;
printf("The number %d has the digits:", z);
x[n+1] := 0;
for k from n by -1 to 1
do
print(x[k]);
x[n+1] := x[n+1]+x[k]
end do;
printf("The checksum is:");
print(x[n+1]);
for j to n
do
if `mod`(z, x[j]) = 0 then printf("The number is divisible by: %d\n", x[j])
else printf("The number is not divisible by: %d\n", x[j])
end if
end do;
for j to n
do
if `mod`(x[n+1], x[j]) = 0 then printf("The sum is divisible by: %d\n", x[j])
else printf("The sum is not divisible by: %d\n", x[j])
end if
end do
end proc;

f(12305, 4)

Error, (in f) division by zero



This is my code for the Extended Euclidean Algorthim which should return integer l, polynomials pi,ri,si,ti for 0<=i<=l+1. And polynomial qi for 1<=i<=l such that si(f)+ti(g) = ri and sl(f)+tl(g)=rl=GCD(f,g).
The problem is, I keep getting division by zero. Also it evaluates pi = lcoeff(ri-1 - qiri) to be zero, everytime. Even when I remove this it still says there is a division of zero, which must be coming from qi:=quo(ri-1,ri, x); however I do not know why considering the requirements for the loop are that r[i] not equal zero. I really could use a fresh pair of eyes to see what I've done wrong. Any help would be greatly appreciated!!

Hi

 

I have some data:

Matrix(10, 2, {(1, 1) = 0, (1, 2) = 0, (2, 1) = .5, (2, 2) = 3.25, (3, 1) = 1.0, (3, 2) = 5.82, (4, 1) = 1.5, (4, 2) = 7.50, (5, 1) = 2.0, (5, 2) = 8.79, (6, 1) = 2.5, (6, 2) = 9.83, (7, 1) = 3.0, (7, 2) = 10.66, (8, 1) = 3.5, (8, 2) = 11.35, (9, 1) = 4.0, (9, 2) = 11.94, (10, 1) = 4.5, (10, 2) = 12.46})

 

I want Maple to make a trendline fitting a Logarithmic function. I can make it output some function with this:

LeastSquares(`<,>`(.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5), `<,>`(3.25, 5.82, 7.50, 8.79, 9.83, 10.66, 11.35, 11.94, 12.46), x, curve = a+b*ln(x))

It outputs:

5.96497783539274+4.25309474196387*ln(x)

 

But please notice, the dataset in the function does not have the first 0 and 0. If i do that:

LeastSquares(`<,>`(0, .5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5), `<,>`(0, 3.25, 5.82, 7.50, 8.79, 9.83, 10.66, 11.35, 11.94, 12.46), x, curve = a+b*ln(x))

It outputs: 

Error, (in Matrix) numeric exception: division by zero

 

Besides that, i need the R-squard value for determinating how well it fits.

 

If i do the same thing i Excel the data set will give a formular: 5.5464ln(x)-0.2175 with a R-sward value of 0.9985.

 

How can i do this i maple?

 

Thanks in Advance!

 

----

Emil Kristensen

Hello,

For a control systems project I'am working on I need to minimize the actuator effort required to control an input voltage to certain output voltage. As a first experiment I chose a sinusoidal input ug and a sinusoidal output ul. The function to minimize is the funtion Uint. We know that when both the input voltage and output voltage share the frequency, phase and amplitude, that the control effort is zero. Running the animation (see Maple input below) shows that if the input and output voltage frequencies approach eachother the function Uint goes to zero. However, if the frequencies exactly match and I evaluate the function Uint I get a devision by zero notification (this could already be seen from the function of Uint). How can I solve this?

restart

with(plots):

u[G] := sin(omega[G]*t)

u[L] := sin(omega[L]*t)

U[int] := int((u[G]-u[L])^2, t)

omega[G] := 9:

animate(plot, [[u[G], u[L], (1/10)*U[int]], t = 0 .. 5, legend = ["Public grid voltage", "Local grid voltage (control goal)", "Cum. Actuator voltage (scaled)"]], omega[L] = 8 .. 10, gridlines = true, labels = ["Time [s]","Voltage [V]"], labeldirections = ["horizontal", "vertical"], labelfont = ["ARIAL", "bold", 12])

omega[L] := 9; t := 10; evalf(U[int])

NULL

 

Download 20131109_Division_by.mw

 

Thanks

I'm making a student quiz and would like to use Maple to enter long division problems. Is there an expression template in the palettes for entering long division?

 

Thank you.

Jerry

Dear

I wrote division of two  reguler matrices. I would like to give Maple program. What should I do?

Hi every one,

I am facing a situation here. Whenever, I sub n = 0 or 1, the following ode has a solution. 

But when I adopt other values except the above ones then the maple gives me the error

"division by zero". 

eq11:=(diff(((abs(diff(f(eta),eta,eta)))^(n-1)*diff(f(eta),eta,eta)),eta)
+n/(n+1)*f(eta)*diff(f(eta),eta,eta))=0;
resx:=dsolve({eq11,f(0)=1,D(f)(0)=0,D(f)(12)=0},numeric,method = bvp[midrich],

Division by zero, overflow error

A recent question brought to me some old applications in the application center, loading those applications in newer Maple versions shows critical information missing.

This prompted me to install MapleV on my computer to properly view these applications however after installing, sadly we get a division by zero, overflow error message. 

Since probably no has done this in this day and age, this is a real stab in the...

How to handle "division by zero" from EVERY environment in EVERY situation?

err_handle.mw

 

----------

error handler

calchas:~ sedoglavic$ maple
    |\^/|     Maple 14 (APPLE UNIVERSAL OSX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2010
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> 264 ;
      ...

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