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Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
Is $0$ a natural number? - Mathematics Stack Exchange Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was considered i
The sequence of integers - Mathematics Stack Exchange Prove that the sequence $\\{1, 11, 111, 1111, \\ldots\\}$ will contain two numbers whose difference is a multiple of $2017$ I have been computing some of the immediate multiples of $2017$ to see how
What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually I've noticed this matrix product pop up repeatedly and can't seem to de
For what $n$ is $U_n$ cyclic? - Mathematics Stack Exchange 17 Un U n is cyclic iff n n is 2 2, 4 4, pk p k, or 2pk 2 p k, where p p is an odd prime The proof follows from the Chinese Remainder Theorem for rings and the fact that Cm ×Cn C m × C n is cyclic iff (m, n) = 1 (m, n) = 1 (here Cn C n is the cyclic group of order n n)
Find the sum of the series $\\sum \\frac{1}{n(n+1)(n+2)}$ I got this question in my maths paper Test the condition for convergence of $$\sum_ {n=1}^\infty \frac {1} {n (n+1) (n+2)}$$ and find the sum if it exists I managed to show that the series converge
Limit of $\\frac{x^c-c^x}{x^x-c^c}$ as $x \\rightarrow c$ My question is: Show that $\lim_ {x \rightarrow c} \frac {x^c-c^x} {x^x-c^c}$ exists and find its value Because the limit is 0 0 I've tried using L'Hopital's rule, but every time I differentiate it I