Questions on fractions, numbers of the form $p/q$ where $p$ and $q$ are integers, and $q$ is not zero.
1
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2answers
35 views
Proving that $\frac{\sigma_{n-1}}{\omega_n} = n$ in $\mathbb{R}^n$
If $\sigma_{n-1}$ was the surface area of the unit sphere in $\mathbb{R}^n$ and $w_{n}$ was the area of the unit ball in $\mathbb{R}^n$, my lecture notes prove that $$\frac{\sigma_{n-1}}{\omega_n} = ...
1
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1answer
60 views
Problems with basic algebra
I'm studying for an exam in a digital communications course I'm taking, and the solution to one question has me totally lost. While finding the Inverse Fourier Transform of a function, there's one ...
1
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1answer
42 views
If I add a constant $c$ to each fraction's numerator and denominator in a sequence of fractions, how is the sequence affected?
Given a sorted ascending sequence of fractions, if I add a constant $c$ to each fraction's numerator and denominator, how is the sequence affected?
For example, if I have a sequence in ascending ...
1
vote
0answers
236 views
Contribution (weighted average) of change in rate over time
I'm trying to determine the weighted average impact of one customer's change in rate on the total change in effective rate.
Let's say I have two customers and two time periods:
...
1
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0answers
351 views
Four candle problem: Using candles as timers
The candles each take one hour to burn completely. Cutting off bits of the candles is forbidden, but the candles are placed on a raft of fork handles so they may be burnt at both ends (e.g. to time ...
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0answers
29 views
Solving $m$ in $m = \lim_{n\to\infty}\prod_{k=x+1}^n\, 1+\dfrac{(k+x)^2}{2^{k-x}}$ from $n$ and $x$
How should one proceed in order to solve $m$, where $x$ is an integer
$$m = \lim_{n\to\infty}\prod_{k=x+1}^n\, 1+\dfrac{(k+x)^2}{2^{k-x}} $$
from $n$ and $x$ in an unconditional form, such as, for ...
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0answers
17 views
Computability of division of large numbers
What is the largest computable mathematical division in terms of the number of digits that can be handled by a typical desktop computer using the best available big number libraries, assuming input is ...
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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
0answers
197 views
How to get approximate fraction numbers from imaginary numbers with MatLab
I'm not sure how to title this problem actually, but I have a clumsy PHP code that I've used to get approximate fraction numbers for imaginary numbers like pi, phi, square root of 2, 3 and so on. I'd ...
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0answers
94 views
General advice for dividing bigger fraction into partial fractions
There's a lot of cases where dividing a larger fraction into smaller ones helps a lot in making calculations a lot simpler. For example, the first step in solving this integral below is to divide ...
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0answers
63 views
Point me the primordial and intuitive concepts about this operations on physics
Warning: Layman question. Treat me as a 10 years old child
The question was based on this page: ...
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0answers
145 views
Partial fraction expansion when the degree of the numerator is unknown
Hope it's not too stupid: is there any general approach to partial fraction expansion when the degrees of polynomials in the numerator are unknown?
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0answers
85 views
Fractions for use of determining ratios
When you have two processes and you want to compare the results of them, is it:
(original process)/(new process) or (new process)/(old process)?
There isn't a particular context for this question, ...
