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1d
comment Simple algebraic field extensions
The occurance of $m!$ suggests that you might have a look at the Galois group action on the roots of a polynomial with $m$ roots.
1d
answered Find all $c\in\mathbb Z^+$ for which $\exists a,b\in\mathbb Z^+, a\neq b$ with $a+c\mid ab$ and $b+c\mid ab$
1d
comment Find all $c\in\mathbb Z^+$ for which $\exists a,b\in\mathbb Z^+, a\neq b$ with $a+c\mid ab$ and $b+c\mid ab$
@A.P. $a\equiv b\implies ab\equiv a^2$
1d
answered If $\lim_{x \rightarrow \infty} f'(x)^2 + f^3(x) = 0$ , show that $\lim _ {x\rightarrow \infty} f(x) = 0$
1d
comment Derivation of matrix diagonalisation formula?
Thing is, it doesn't always work, for example if $A=\begin{pmatrix}1&1\\0&1\end{pmatrix}$.
1d
answered Polynomials and Divisibility Rule.
1d
comment Why is this not a poset after adding zero?
@vadim123 You'd need a footnote anyway in more general rings than $\mathbb Z$ as $a\mid b$ does not imply that a unique element $\frac ba$ exists. For example, in $\mathbb Z/6\mathbb Z$ we have $2\mid 4$, but "$\frac 42$" could be $2$ or $5$.
1d
answered Product of consecutive Fibonacci numbers divisibility
2d
comment Find the largest size of squares that can pave a given rectangle
Correct answer, you may want to accept this
2d
revised Finite commutative ring with more than $\frac{2}{3}$ of its elements idempotent
added 27 characters in body
2d
answered Finite commutative ring with more than $\frac{2}{3}$ of its elements idempotent
2d
revised Factor a polynomial
added 35 characters in body
2d
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?
2d
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"
2d
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
2d
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?
2d
answered Is $\frac{1}{x}$ on [0,$\infty$] continuous at zero?
2d
comment When is it sufficient to use logic as proof for an intuitive answer
@JordanGlen Ack
2d
revised When is it sufficient to use logic as proof for an intuitive answer
edited body
2d
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 $x_1$