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### Questions (6)

 17 Exactly half of the elements of $\mathcal{P}(A)$ are odd-sized 2 Which linear map maps $\begin{bmatrix}a_0&a_1&a_2\end{bmatrix}^\top\mapsto \begin{bmatrix}a_0&a_0+a_1&a_0+a_1+a_2\end{bmatrix}^\top$? 2 Prove that $\{x_1=1,\,x_{n+1}=\frac {x_n}2+\frac 1{x_n} \}$ converges when $n \to \infty$ 1 Why is $R_m(a^x)=R_m(a^{R_{\phi(m)}(x)})$? 0 Solving a simple ${\cal O}(N\log N)$ recursive equation.

### Reputation (247)

 +35 Exactly half of the elements of $\mathcal{P}(A)$ are odd-sized +10 Prove that $\{x_1=1,\,x_{n+1}=\frac {x_n}2+\frac 1{x_n} \}$ converges when $n \to \infty$ +10 Which linear map maps $\begin{bmatrix}a_0&a_1&a_2\end{bmatrix}^\top\mapsto \begin{bmatrix}a_0&a_0+a_1&a_0+a_1+a_2\end{bmatrix}^\top$? +5 Prove that $\{x_1=1,\,x_{n+1}=\frac {x_n}2+\frac 1{x_n} \}$ converges when $n \to \infty$

 2 Prove that $\{x_1=1,\,x_{n+1}=\frac {x_n}2+\frac 1{x_n} \}$ converges when $n \to \infty$ 1 Quadratic matrices: When is $A^\top B^\top = AB$? 0 Solving a simple ${\cal O}(N\log N)$ recursive equation. 0 Solving a simple ${\cal O}(N\log N)$ recursive equation.

### Tags (9)

 2 convergence × 2 0 recursive-algorithms × 3 2 limits × 2 0 linear-algebra 2 proof-writing × 2 0 elementary-number-theory 1 matrices × 3 0 elementary-set-theory 0 asymptotics × 3

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