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 Mar 23 comment k nearest points a nearest 1 neighbor does not necessarily exist, e.g there is no nearest k neighbor for k=1 in a regular polygon Mar 23 comment Proving the cardinality of finite sets another way may be to construct a bijection between these two sets. If such one exists their cardinality is the same Mar 23 comment How to prove that $\max(\min(g,M),-M)$ is close to $f$, given $g$ is close to $f$ besides that, why should g be a function from R^n intead of K. In all expressions it is restricted to K. Mar 23 comment How to prove that $\max(\min(g,M),-M)$ is close to $f$, given $g$ is close to $f$ I already mentioned that it is sufficient to show it for numbers f and g. To show it for numbers you have to check different cases Mar 23 comment How to prove that $\max(\min(g,M),-M)$ is close to $f$, given $g$ is close to $f$ can you tell us where you found this problem? Mar 23 comment How to prove that $\max(\min(g,M),-M)$ is close to $f$, given $g$ is close to $f$ I tthink it does not make sense to pose this question for functions because all definitions are pointwise. so it is sufficient to show this for numbers g and f Mar 23 comment How to prove that $\max(\min(g,M),-M)$ is close to $f$, given $g$ is close to $f$ it does not makes sense to define g a funczion from R^n instead of K because f-g and the max-min expression ins only defined over K. Mar 10 comment Solve in positive integers the equation $a^3+b^3=9ab$ From your inequalities you get $a^2b^2\lt 81ab$ and so $ab\lt 81$. if $a\le b$ then $a^2\lt 81$ Mar 3 comment Factor $16x^4-x^2y^2+y^4$ He wants to factor the right side of the equation. Mar 3 comment Trivial solution when solving in integers another contradiction: $3|3t^2 \implies 3|(13s^2-24s) \implies 3^2|13s^2-24s \implies 3|t \implies 3|\gcd(s,t)$ Feb 29 comment How do you sketch the LHS and RHS on one pair of axes and then solve @Galc127: so $|a|\ge |b|$ if $a=-1$ and $b=-5$ Feb 29 comment How do you sketch the LHS and RHS on one pair of axes and then solve How do you graph |x-1|? Feb 23 comment What is $R\circ S$? For$s = \{(1,2),(1,3),(2,3),(2,4),(3,1)\}$ and … same quesion Feb 23 comment Prove a formula is not a logical consequence of KB @Wojowu: How do you write a comment with less than 15 characters? Feb 20 comment Prove that $a^5 ≡ a$ (mod 15) for every integer $a$ It is sufficient to proof this for a=0,...,14 Feb 18 comment Eliminating a variable using three equations Did you already try to disprove it by choosing numbers that satisfy the first three equations and insert them in the fourth equation? Feb 17 comment Finitely differentiable function $|x|$ isn't differentiable at 0. From this you can construct a function whose k-th derivate is $|x|$ and therefore its (k+1) derivate does not exist at 0. Feb 17 comment What is wrong with the given proof? Feb 16 comment If $x^2+y^2-xy-x-y+1=0$ ($x,y$ real) then calculate $x+y$ If it is required that $(x,y) \in \mathbb{R}^2$, then you should add this requirement to your post. Feb 11 comment The accuracy from left to right and that from right to left of the floating point arithmetic sums @probablyme: I think it is not necessary to add a link "Source" to the üicture of the text. This link can be found in the older versions of the posr.