Stack Exchange

Patrick Da Silva

Montreal, Canada

facebook.com/paterz1

Age: 22

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.

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