Adam Latosiński's user avatar
Adam Latosiński's user avatar
Adam Latosiński's user avatar
Adam Latosiński
  • Member for 5 years, 1 month
  • Last seen more than a month ago
18 votes

When can a polynomial be written as a polynomial function of another polynomial?

17 votes

Paradox: Roots of a polynomial require less information to express than coefficients?

12 votes
Accepted

Evaluate $\lim_{n\to \infty}n\int_2^e{(\ln x)^n}dx$

10 votes

What is the theme of analysis?

10 votes
Accepted

Find $\lim_{t\to 1^{-}}(1-t)\sum_{r = 1}^\infty \frac{t^r}{t^r+1}$

10 votes

compare $m=50^{50}$ with $n=49^{51}$

10 votes
Accepted

Derivative of $\sin^{-1}\frac{x+\sqrt{1-x^2}}{\sqrt 2}$

8 votes

Why is $i\cdot \sin(x)$ not $\cos(x)$?

7 votes

Does the sign matter for proportionality?

7 votes
Accepted

Evaluate $\lim_{x\to 1}\frac{x^{x}-x^{x^2}}{(1-x)^2}$

7 votes
Accepted

Prove $\lim_{n\to \infty} \sum_{k=0}^{n} 2^{\frac{-kn}{k+n}}=2$

7 votes
Accepted

How to solve integral of $\int_{0}^{π/2} \sin^n(θ)\,d\theta$

7 votes
Accepted

How can I prove that starting from $0$, and repeatedly taking $+10,-10,\times10$ or $\div10$, requires at least $9$ operations to get to $2019$?

7 votes
Accepted

What is the most common and appropriate definition of tensor?

6 votes
Accepted

English statements translation into first order logic statements

6 votes

What is the integral $\;\displaystyle\int\left[x^2(x-2)\right]^{-2/3}\text{d}x\;$?

6 votes
Accepted

Finding values for which $\int_{1}^{\infty}\frac{\sin (x^\alpha)}{x} \mathrm{dx}$ converges

6 votes

How to formally prove that index renaming doesn’t change sum

6 votes

Summing cube roots in fractions

6 votes
Accepted

How can I prove this sequence converges to 1?

6 votes
Accepted

If $\frac{a}{\sin{A}}=\frac{b}{\cos{A}}$, show that $\sin{A}\cos{A}=\frac{ab}{a^2+b^2}$

6 votes

Sketch the region $|1+z+\frac{z^2}{2}|<1$ in the complex plane?

6 votes

Is the series $ 1-1+1-1+1+\cdots = -1+1-1+1-1+1-\cdots $?

5 votes
Accepted

$y_n (x)=x^2+\frac{x^2}{1+x^2}+\frac{x^2}{(1+x^2)^2}+\cdots+\frac{x^2}{(1+x^2)^{n-1}}$,$y(x)=\lim_{n\to\infty}y_n x$, so continuity of $y_n(x)$ & y(x)

5 votes

Solving: $2z + \overline{z} + 4 = \frac{z}{1-i}$

5 votes

How to prove that an irrational number to an irrational number could be irrational. - SOLVED

5 votes
Accepted

Prove that shock wave is weak solution of Burgers' equation (Riemann problem)

5 votes
Accepted

Minimizing $\left ( \sin^2(x) + \frac{1}{\sin^2(x)} \right )^2 + \left ( \cos^2(x) + \frac{1}{\cos^2(x)} \right )^2$

5 votes

How can the derivative of $f:M\to \mathbb R$ where $M$ is a differentiable manifold can be well defined since it's not unique?

5 votes

Closed Form of $a_n = \int_0^1 \ln(1+x^n) dx$

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