Tagged Questions
2
votes
2answers
28 views
which parameters always make this rational equation evenly divisible?
Hi guys I have the following equation:
$$x = \dfrac{a + b \times c - b}{c}$$
This is what I know about each variable:
$$a \ge 64$$
$$b \ge 0$$
$$8 \le c \le a$$
My questions is there a concise way ...
2
votes
1answer
34 views
length of period
Each rational number (fraction) can be written as decimal periodic number. Does exists a method or hint that show how long will be the period of arbitrary fraction. For example $1/3=0.3333...=0.(3)$ ...
5
votes
1answer
62 views
finite field to rational fraction
Suppose I have a number $n\in\mathbb F_p$, i.e. an element of the finite field obtained by arithmetic modulo some (odd) prime $p$. I'm looking for a way to find a simple description of $n$ as a ...
9
votes
4answers
375 views
How do I rewrite -100+1/2 as the mixed number -99 1/2?
This has been bugging me for some time now, so I ask you to try to help me realize what is going on here. I just can't get my brain around this. I have a proper fraction and a negative integer. The ...
3
votes
1answer
135 views
How do I get the integer part of a number by using basic arithmetic?
While it is trivial to simply remove the fractional part of an irrational or rational number, and in programming I could just use the floor() or ...
1
vote
1answer
32 views
How to represent fraction $\frac{1}{a+b\cdot \sqrt[3]{2} + c\cdot (\sqrt[3]{2})^2}$ as $a_1 + b_1 \cdot \sqrt[3]{2} + c_1 \cdot (\sqrt[3]{2})^2$?
What do I have to multiply both numerator and denominator with to get the representation is asked? $a, b, c, a_1, b_1, c_1$ are rational numbers.
6
votes
1answer
223 views
Faster arithmetic with finite continued fractions
I was curious about different representations of rational numbers and came across the finite continued fraction (see wp:Finite_continued_fractions ).
Note: I will refer to traditional rational ...
0
votes
0answers
17 views
Question on passing from rational to exponet
it's not a question itself, but I'd like to check if am I doing this passage from rational numbers to the exponent form right:
From:
$\sqrt{a\sqrt{a}}$
Evaluete to:
$\sqrt{a*a^{\frac{1}{2}}}$ = ...
0
votes
3answers
329 views
What is common and widely recognized abbreviations for *Numerator* and *Denominator* terms for Anglophone mathematicians? [closed]
I have a basic notation/convention question. I'm writing a program in Pascal programming language which does computations in the rational number field (ℚ). For that i defined a data type, which ...
0
votes
2answers
74 views
Narrowing a Stern-Brocot tree
Say I only wanted to enumerate the rational numbers between 0 and $a$. Is there a way to "narrow" a Stern-Brocot tree to provide this? I tried keeping my left bound at "$\frac{0}{1}$" and setting my ...
3
votes
1answer
195 views
If a finite set of rational numbers sums to one, does one of the rationals have a denominator equal to the LCM of all the denominators?
I was experimenting with an algorithm for generating random numbers from a discrete distribution and came across an interesting observation. Suppose that you have any finite set of rational numbers ...
