Tag for problems about comparing explicitly given numbers, often by hand calculation only.
Questions tagged [number-comparison]
195 questions
2
votes
2 answers
Finding a faulty value in a dataset
I have prices from wholesalers for a product. But sometimes the wholesalers doing mistakes and list the product to a unrealistic price. I want to filter the unrealistic prices out. This is an example:
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Vidarrus
- 23
1
vote
2 answers
How do we compare $8^{2700}$ and $3^{5500}$ without using the logarithm?
I am trying to explain this to children with no knowledge of logarithm. We know that $8^{2700} = 2^{8100}$ and $3^{5500}$ is already in prime base. However, how do we know which one is larger in value?
I tried to consider the ratio of the two…
Nighty
- 2,152
1
vote
1 answer
Minimal number of comparisons to determine larger set
There are $2n+1$ balls in a row, on each one printed either $1$ or $0$, but we can not see what is written - we can only see the position in which they are placed.
I need to take out a ball that belong to the number printed more times, and I can…
Mathguy
- 75
1
vote
1 answer
comparing averages versus comparing the averages of percentage
Let’s say there are three rooms with 40 identical boxes in each room. Each box contains some number of cards inside. The number of cards in each box is different. It may be as many as 60 cards in one box and as few as one card in one box.
Although…
brilliant
- 818
1
vote
3 answers
A mathematical function for greater than operator
Are there a mathematical function that takes the integer variable $x$ and uses a constant $k$ then,
it outputs $x$ when $x > k$
else outputs Zero
For example, when $k=5$ and,
when $x$ is given inputs $2, 3, 4, 5, 6, 7$ respectively,
It must output…
0
votes
2 answers
How do I determine how similar the angles of a triangle are to a given triangle?
I am trying to determine how close a triangle is to a given known triangle based on the angles.
I know the 3 angles of a TRUTH triangle.
I know the 3 angles of an INPUT triangle.
I want to determine a single error value that specifies how close all…
pbhuter
- 149
0
votes
1 answer
how to quantify or compare the proportion of 1: 2: 3
Problem description：I'm working on a machine learning project, and one of the features is represented by the proportion of three levels' sample numbers. When I was doing preprocessing normalization, I can't find a suitable method to normalize the…
0
votes
0 answers
What Kind Of Mathematics Is Comparing Numbers?
We can compare 2 numbers with >, <, >=, <=, or = . And get a "true" or "false" result.
I believe this is some kind of mathematics. What kind is it?
AAA BBB
- 1
0
votes
1 answer
Confusion when comparing numbers with powers
I am confused about this:
Compare $$7^{26} - 7^{25} = 7^{25}(6)$$
This is what I have calculated:
\begin{align}&(1.0 \times 7^{26}) - (1.0 \times 7^{25})
\\&=(10\times 7^{25}) - (1.0 \times 7^{25})
\\&=7^{25}(10-1)
\\&=7^{25}(9) …
-2
votes
2 answers
compare the numbers: $A = \frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ and $B =\frac{b}{a} + \frac{a}{c }+\frac{c}{b}$
question
Let's compare the numbers:
$A = \frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ and $B =\frac{b}{a} + \frac{a}{c }+\frac{c}{b}$,
where $a, b, c$ are real numbers such that: $0
IONELA BUCIU
- 1,157
- 1
- 17
-2
votes
1 answer
Compare $A$ and $B$
Compare $A$ and $B$ with:
$$A = \sqrt{2017} + \sqrt{2019} + \sqrt{2023}$$
$$B = \sqrt{2018} + \sqrt{2020} + \sqrt{2021}$$
I tried to prove $A^4 < B^4$ but it's too hard to do that.
