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Ian Mateus

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calculus

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Impact

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166 posts edited
95 helpful flags
1,209 votes cast
Summary Answers Questions Tags Badges Bookmarks Bounties Reputation All actions

26 Questions

Votes Activity Newest Views
33
149
votes
7
answers
14k
views

Does a “cubic” matrix exist?

tensors multilinear-algebra
Jun 11 '17 at 16:53 Sasha 66.4k
17
54
votes
10
answers
5k
views

Is there any geometric way to characterize $e$?

real-analysis algebra-precalculus
Jun 5 '19 at 15:50 Atton Rand 1
3
21
votes
2
answers
445
views

Mystery about $\sum_{n\geqslant 1}2^{-n!}$

sequences-and-series number-theory
Nov 24 '13 at 2:44 TMM 9,604
2
20
votes
3
answers
848
views

Rigorous proof that $\frac{1}{3} = 0.333\ldots$

algebra-precalculus sequences-and-series
Mar 12 '18 at 18:25 fleablood 113k
7
17
votes
1
answer
353
views

$\sqrt[2]{1+\sqrt[3]{1+\sqrt[4]{1+\cdots}}}\approx 1.5176001678…$

sequences-and-series limits
Jul 31 '13 at 7:55 Daniel Robert-Nicoud 27k
7
16
votes
4
answers
471
views

Evaluating $\sum_{k=1}^{\infty}\frac{\sin\left(k\theta\right)}{k^{2u+1}}$ with multiple integrals

sequences-and-series zeta-functions
Apr 11 '14 at 19:54 Community♦ 1
4
11
votes
3
answers
607
views

A probabilistic integral $\int_{-\infty}^{\infty}e^{-x^2/2\sigma^2}\arcsin\left(1-2\left|\lfloor x\rceil-x\right|\right)\,dx$

integration definite-integrals improper-integrals
Aug 12 '14 at 2:30 Community♦ 1
1
9
votes
2
answers
3k
views

Sum of squares of roots of a polynomial $P(x)$

algebra-precalculus polynomials
Jul 29 at 4:17 Nedi Sawego Yogya 11
3
9
votes
5
answers
696
views

Proving that $a + b = b + a$ for all $a,b \in\mathbb{R}$

real-analysis definition
Jun 16 '12 at 19:06 Community♦ 1
1
8
votes
3
answers
4k
views

Sum of irrational numbers

algebra-precalculus irrational-numbers alternative-proof
Jan 17 '15 at 0:35 Community♦ 1
3
8
votes
2
answers
305
views

Do we know a number $n\gt 5$ with no twin prime $n\lt q\lt 2n$?

number-theory prime-numbers
Feb 4 '14 at 22:19 Community♦ 1
 
8
votes
4
answers
466
views

Is it correct to say that $\mathbb{R}$ has fewer elements than $\mathbb{C}$ if both are infinite?

elementary-set-theory complex-numbers
Oct 17 '11 at 0:53 J. M. isn't a mathematician 69.4k
 
7
votes
3
answers
380
views

Putting ${n \choose 0} + {n \choose 5} + {n \choose 10} + \cdots + {n \choose 5k} + \cdots$ in a closed form

complex-numbers binomial-coefficients
May 21 '17 at 10:39 Did 265k
2
7
votes
2
answers
739
views

How can we directly see that the number of random walks starting and ending at the origin is ${n\choose n/2}^2$?

combinatorics random-walk
Oct 6 '13 at 0:15 Jean-Sébastien 4,403
2
5
votes
3
answers
2k
views

Do “complex percentages” exist?

complex-numbers
Feb 8 '16 at 23:09 ngb 1
1
5
votes
2
answers
171
views

How many values does $1^{\alpha}$ have for $\alpha$ irrational?

complex-analysis exponentiation branch-cuts
Dec 29 '13 at 18:41 Ian Mateus 6,905
1
5
votes
4
answers
302
views

Why can't partial fractions expansion be “normally” done is this case?

algebra-precalculus partial-fractions
Feb 14 '12 at 19:57 Aryabhata 77.1k
2
4
votes
2
answers
233
views

Evaluating $\sum_{j\geqslant1}\sum_{k\geqslant1}(-1)^{k+j}\frac{(2k-1)+i(2j-1)}{((2k-1)^{2}+(2j-1)^{2})^{3/2}}.$

complex-numbers summation
Aug 28 '14 at 20:54 Community♦ 1
 
4
votes
1
answer
147
views

How can I write $e^{ki\theta}/k$ as a nice integral?

limits improper-integrals
Jan 10 '13 at 17:23 Ilya 32.6k
2
4
votes
1
answer
261
views

Prove for $x$, $y$ and $z$

algebra-precalculus
Feb 18 '12 at 8:18 Community♦ 1
 
2
votes
1
answer
481
views

What does the convergence of a Dirichlet series tells us about the convergence of a power series?

complex-analysis convergence-divergence power-series
Jul 13 '17 at 11:53 Daniel Fischer♦ 194k
1
2
votes
3
answers
253
views

Solving the system $(18xy^2+x^3, 27x^2y+54y^3)=(12, 38)$

systems-of-equations cubic-equations
Jan 27 '14 at 21:25 Community♦ 1
1
2
votes
2
answers
192
views

Choosing convenient limits of integration on Basel problem

sequences-and-series algebra-precalculus
Jan 13 '13 at 22:04 Community♦ 1
 
1
vote
2
answers
110
views

Is $\lim_{x\rightarrow\infty}\prod_{p\leqslant x}p^{1/x}$ finite?

number-theory limits
Sep 21 '13 at 22:56 leshik 4,690
 
1
vote
2
answers
179
views

Combinatorics thinking

combinatorics
Jul 2 '12 at 16:02 Christian Blatter 210k
 
0
votes
1
answer
60
views

Is it possible to define side-euclidean divisions in square matrices?

abstract-algebra matrices
Feb 5 '14 at 21:20 Ian Mateus 6,905
Mathematics
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