Hagen von Eitzen
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187,871
397/400 score
 May 1 comment Find the largest size of squares that can pave a given rectangle Correct answer, you may want to accept this May 1 revised Finite commutative ring with more than $\frac{2}{3}$ of its elements idempotent added 27 characters in body May 1 answered Finite commutative ring with more than $\frac{2}{3}$ of its elements idempotent May 1 revised Factor a polynomial added 35 characters in body May 1 comment Finding the sum of real solutions to an equation The sum of all solutions is $-\frac{80}{32}$, but do we know that none of them are complex? May 1 comment Shortest possible way to go from one corner of the city to opposite corner if a city has $n,m$ parallel roads from east - west & north -south? Also, equidistance is not needed, the roads should just be "parallel enough" May 1 revised Shortest possible way to go from one corner of the city to opposite corner if a city has $n,m$ parallel roads from east - west & north -south? added 7 characters in body; edited title May 1 answered Shortest possible way to go from one corner of the city to opposite corner if a city has $n,m$ parallel roads from east - west & north -south? May 1 answered Is $\frac{1}{x}$ on [0,$\infty$] continuous at zero? May 1 comment When is it sufficient to use logic as proof for an intuitive answer @JordanGlen Ack May 1 revised When is it sufficient to use logic as proof for an intuitive answer edited body May 1 comment Analytical solution for $\max{x_1}$ in $(x_n)_{n\in\mathbb{N}}$ Starting greedily from $x_9= 36$ and letting $x_k=k\lfloor \frac{x_{k+1}+4}{k}\rfloor$, we get $x_8=40$, $x_7= 42$, $x_6= 42$, $x_5= 45$, $x_4=48$, $x_3= 51$, $x_2= 54$, $x_1= 58$. Per greediness, this is the maximum possible $x_1$ May 1 answered When is it sufficient to use logic as proof for an intuitive answer May 1 awarded polynomials May 1 comment Under what conditions is $\max_{a \in A} (f(a) - g(a)) \geq \max_{a \in A} f(a) - \max_{a \in A} g(a)$ true? @Pinocchio Well the maximum should exist in the first place (or you use the supremum instead, for which almost the same proof works) May 1 answered Factor a polynomial May 1 revised Compute the largest root of $x^4-x^3-5x^2+2x+6$ added 34 characters in body May 1 answered Compute the largest root of $x^4-x^3-5x^2+2x+6$ May 1 answered What is meant by eigen spaces are non-orthogonal? May 1 answered Understanding proof that sequence $x_n =( -1)^{n}$ is not convergent