Questions tagged [integer]
The integer tag has no usage guidance.
5
questions
1
vote
1answer
64 views
Extending NumberForm
I'd like to define a function, call it NumberF, that takes a real number n and two naturals l...
3
votes
3answers
154 views
Show that all coefficients in a recursively defined function are integers
Problem 2 in the 2017 Putnam exam is:
Let $Q_0(x) = 1$, $Q_1(x) = x$, and $Q_n(x) = \frac{Q_{n-1}^2(x) - 1}{Q_{n-2}(x)}$.
Show that $Q_n(x) \in \mathbb{Z}[x]\ \forall n \geq 0$.
(Recall that $\mathbb{...
4
votes
1answer
142 views
Representing number domain by a symbol [closed]
I'd like to represent the number domain by a symbol rather than text word.
While
Solve[n^2 - 19 n + 99 == k^2 \[And] {k, n} > 0, {k, n}, Integers]
works fine, I'...
5
votes
2answers
416 views
Solving an equation over the integers
Consider the problem of finding all values of $n \in \mathbb{N}$ s.t. $$\sqrt{n} + \sqrt{n + 2005}$$
is an integer.
One can easily verify that $n = 1,004,004$ and $39,204$ satisfy this requirement, ...
6
votes
1answer
72 views
Convert ByteArray to integer and real values
during the import of a complex file format I handle ByteArray or lists of byte values. While I can easy transform them from one type to each other:
...
