Patrick Da Silva

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13,515 reputation
11944
bio website facebook.com/paterz1
location Montreal, Canada
age 22
visits member for 2 years
seen 3 hours ago
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I am in my third year of studies in mathematics at University of Montreal. My current interests are number theory, analysis, measure theory and abstract algebra.


409 Answers

newest activity votes
46
Why study linear algebra?
41
What is a hexagon?
28
Are the solutions of $x^{x^{x^{x^{\cdot^{{\cdot}^{\cdot}}}}}}=2$ correct?
19
Can decimal numbers be considered “even” or “odd”?
14
the sum of powers of $2$ between $2^0$ and $2^n$
13
Is this binary operation commutative?
13
What is the geometrical representation of $1/R$?
12
Apostol proof divides by zero?
11
If $f^2$ is Riemann Integrable is $f$ always Riemann Integrable?
11
Proof of $\frac{d}{dx}e^x = e^x$
11
Goldbach conjecture
10
Find $\lim\limits_{n \to \infty}\frac1{n^3}\sum\limits_{k=0}^{n-1}k^2e^{-\frac{k}{n}}$
9
For field extensions $F\subsetneq K \subset F(x)$, $x$ is algebraic over $K$
9
Limit using Poisson distribution
8
Sum of special series: $1/(1\cdot2) + 1/(2\cdot3 )+ 1/(3\cdot4)+\cdots$
8
Some irreducible character separates elements in different conjugacy classes
8
Strong Induction proofs done with Weak Induction
8
If $X_i$ are iid, finding $E(X_1 + X_2 + \cdots + X_k \mid X_1 + X_2+ \cdots +X_n=b)$
8
$f$ is an unbounded monotonic increasing function: $\lim \limits_{x \to \infty} \frac{1}{x}\int_{0}^{x}f(t)dt=\infty$
8
Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction
7
How to avoid arithmetic mistakes?
7
Inseparable, irreducible polynomials
7
How many $p$-adic numbers are there?
7
Why does $\frac{1}{(w-z)^n}-\frac{1}{(w-a)^n}=(\frac{1}{(w-z)}-\frac{1}{(w-a)}) \sum_{i+j=n-1}\frac{1}{(w-z)^i}.\frac{1}{(w-a)^j}$?
7
Finding groups $G$ such that $G \cong \mathscr{S}(G)$
6
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
6
Factoring polynomial in two variables.
6
How to prove $\lim_{n \to \infty} (1+1/n)^n = e$?
6
Does every Abelian group admit a ring structure?
6
On a double sum involving prime numbers
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