## 259 Reputation

17 years, 62 days

## Pell's Equation - how to check solutions...

Maple 10

hi

i have tried Maple help but could not find any answers.

would appreciate some help on how to construct an algorithm for a Pell's equation with D = 29 (x^2 - D*y^2 = 1)

That is x^2 - 29*y^2 = 1.

i know that there is an infinite number of solutions, but would appreciate the first 5.

(x_1, y_1), (x_2, y_2), ... , (x_5, y_5)

many thanx,

antonio

## square numbers (mod x)...

Maple
hi, i have been trying to solve this. x^2 = 670 (mod 291). or x^2 - 291*y = 670. I have been trying to find x^2 manually, but it is taking a lot of time. is there any program that could go through the square numbers from 1, 2, ..., 291 to find x^2 = 670 (mod 291). many thanx, antonio

## Simplex Algorithm...

Maple
Hi, I need to maximise z = 20*x_1 + 25*x_2 subject to: x_1 + 6*x_2

## Q_8 (the quaternion group) - conjugacy c...

Maple
hi, i know that Q_8 (the quaternion group) has 5 conjugacy classes. is there any way to check this in Maple using the elements below? G:=[ [[1,0],[0,1]], # 1 [[0,1],[-1,0]], # j [[-1,0],[0,-1]], #-1 [[0,-1],[1,0]],# -j [[I,0],[0,-I]], # i [[0,-I],[-I,0]], # -k [[-I,0],[0,I]], # -i [[0,I],[I,0]] # k ]: thank you.

## Kernel & image of a function in Maple...

Maple
Hi! is there an option in Maple that can calculate a kernel and an image of a function. e.g. f: C -> R (complex to real numbers under addition) complex numbers expressed as w = x + i*y f(x + i*y) = x+y need to find ker(f) and im(f) - kernel and image of f. many thanx!
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