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I have been trying to understand the notion of complex sine that was defined in my book. The book first starts out defining $ e^{z} $ as $$ \text{If } z =...
How many of permutation of letters in the word "$\bf{MISSISSIPPI}$" are palindromes? $\text{My Try}:$ Palindrome is a word which read as same fo...
Please check my prove we begin by $$x^{2}+4x-12<\epsilon $$ $$|x+6||x-2|<\epsilon $$ I will prove by use property $\lim_{x->n}f(x)g(x)=\lim_{x-&g...
Let $x_n$ be a convergent sequence converging to $x$ Then claim $x_n^2$ converges to $x^2$ I wish to use the definition to show this is the case. Recall $...
Let $R=\oplus_{i\ge 0} R_i $ be a graded domain such that $R_0=k$ is an algebraically closed field, $R$ is finitely generated $k$-algebra and $R=k[R_1]$. ...
Background Conventionally, the square-cube law maintains that as the length scale of a regular shape increases, the surface area-to-volume ratio will dimi...
I have an undirected graph $G$, with edges $E$ and vertex $V$, how to group the edges into different sets, in which One edge can only belong in one set Ev...
I'm starting my physics class and I'm really rusty on my conversions and stoichiometry, The mass of a copper atom is $1.37\cdot 10^{-25}$ kg, an...
I've stumbled with the problem below "Some unused land is adjacent to a straight canal. A gardener wants to use 200 meters of fence in order to creat...
If I suppose that I know the coordinate of three points (eg. A'B'C') in a 2D coordinate system of A'B'C'D', my question...
