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Arbuja's user avatar
Arbuja
  • Member for 9 years, 10 months
  • Last seen this week
  • Ohio
20 votes
10 answers
18k views

Polygons with equal area and perimeter but different number of sides?

14 votes
2 answers
1k views

Help with proving a statement based on Riemann sums?

12 votes
5 answers
918 views

Ideas for defining a "size" which informally measures subsets of rationals to eachother?

10 votes
1 answer
577 views

Problems with Set Function

8 votes
1 answer
909 views

Can the following construction be used to measure countable sets?

7 votes
1 answer
363 views

Is there a connection between my density formula and an invariant mean defined by a folner sequence of rational numbers?

7 votes
7 answers
654 views

For which values of $a\in\mathbb{Q}$ does integer solutions to $x^2+x+1=a(y^2+1)$ exist?

7 votes
2 answers
383 views

Why do two definitons of curvature give different answers?

7 votes
3 answers
905 views

“Most intuitive” average of $P$ for all $x\in A \cap [a,b]$, where $A\subseteq\mathbb{R}$?

6 votes
1 answer
385 views

Articles on the "Property I found" and other types of Centers (excluding the Centroid)?

6 votes
2 answers
4k views

Finding the area of a implicit relation

6 votes
2 answers
179 views

Is it true that $\left\{\frac{m^2}{n!}:m,n\in\mathbb{N}\right\}=\mathbb{Q}^{+}$?

5 votes
0 answers
355 views

Clarification on tetration

5 votes
2 answers
1k views

Complex analysis vs Real Analysis of $\lim_{x\to0}{x}^{x}$

5 votes
1 answer
441 views

How do find the numerical average of $x^x$ from $(-4,-2)$ without x-values that give a complex output?

5 votes
2 answers
565 views

Extending the Definition of Asymptotic Density to rationals

4 votes
1 answer
847 views

How to solve this limit using laurent series?

4 votes
3 answers
2k views

Is there any theorem about figures of equal area and perimeter being congruent?

4 votes
2 answers
111 views

Find the average of a function defined on a Fat Cantor Set

4 votes
1 answer
837 views

Does this measurable function exist and satisfy my motivation?

4 votes
1 answer
260 views

The most explicit way of partitioning the reals into two dense subsets with positive measure

3 votes
1 answer
93 views

Can the pre-image of a non-measurable subset of $[0,1]$ under the function $f:[0,1]\to[0,1]$, where the range of $f$ is $[0,1]$, be measurable?

3 votes
1 answer
122 views

Determine the propositional form and truth value of the following

3 votes
1 answer
90 views

Explicit example of "hyper-discontinuous" function on domain with positive Lebesgue measure?

3 votes
1 answer
117 views

Defining an explicit $f:\mathbb{R}\to\mathbb{R}$ whose graph is "extremely scattered" across $\mathbb{R}\times\mathbb{R}$?

3 votes
1 answer
313 views

Does my set function equal the Lebesgue Measure on subsets of $[0,1]$?

3 votes
2 answers
921 views

If $f$ is a bijection of $A$ onto $B$ show $f^{-1}$ is a bijection of $B$ onto $A$

3 votes
1 answer
149 views

Does the following non-measurable function exist?

3 votes
0 answers
160 views

Is it true the set of Lebesgue-measurable functions which are non-integrable are prevalent in the set of measurable functions?

3 votes
1 answer
261 views

Is it true the set of functions with an infinite or undefined expected value form a prevalent subset of the set of all functions?

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