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 May15 revised Cauchy Schwarz inequality with an operator deleted 1 character in body; edited title May13 comment Prove the sequences $\lfloor \alpha n\rfloor$ and $\lfloor \beta n\rfloor$ are disjoint @GabrielR. How many of the numbers in the first sequence are smaller than $n$? May13 comment Prove the sequences $\lfloor \alpha n\rfloor$ and $\lfloor \beta n\rfloor$ are disjoint @i707107 Do you think that this is a good hint? May13 comment Existence of functions which satisfy some conditions For you, too: spikedmath.com/170.html May13 comment Existence of functions which satisfy some conditions spikedmath.com/170.html May13 comment Prove the sequences $\lfloor \alpha n\rfloor$ and $\lfloor \beta n\rfloor$ are disjoint Try to count how many numbers in both sequences together are of size at most $n$. May12 comment How do we pronounce this symbol? @Mathias711 It used to be one of the community ads, I do not know if it is now. May12 comment How do we pronounce this symbol? Detexify can sometimes help with this kind of question: detexify.kirelabs.org/classify.html May11 answered Prove that the following limit exists and find it! May11 revised Inscribed Angles in Two Cyclic Quadrilaterals edited tags May11 answered Inscribed Angles in Two Cyclic Quadrilaterals May11 comment Inverse Identity + Constant Matrix However, I would be quite impressed if someone found this without ever having seen something similar. May11 comment Inverse Identity + Constant Matrix @AimForClarity First of all, I have seen the matrix with only 1s in other problems before, so its properties are already at the back of my head. In general, you can express any inverse matrix as polynomial in the matrix (just multiply the minimal polynomial by the inverse), so I am already motivated to look at this. To find the minimal polynomial directly, it is clearly useful to calculate $B^2$ and the identity $B^2=nB$ tells me that the minimal polynomial for $I+B$ must have degree 2, so the expression for the inverse (if it exists) must have degree 1 in $B$. May11 comment Generalization of Binomial Coefficients Congruence @sm654567 I am not sure what you mean. What you want is usually the key lemma in any proof of Lucas theorem and it only uses elementary facts, the binomial theorem and the fact that $p$ does not divide factorials of smaller numbers. May10 answered Generalization of Binomial Coefficients Congruence May7 comment Inverse Identity + Constant Matrix That is correct (if you replace a with c). May7 answered Inverse Identity + Constant Matrix May7 answered Find the determinant of the following; May4 revised Rational Numbers and farey fractions edited tags May4 answered Partial sums for a power series