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hey :)

high-schooler with interest in math


Sep
16
awarded  Promoter
Sep
15
revised Calculating the argument of a complex number… something tends towards infinity?
added 485 characters in body
Sep
15
answered Calculating the argument of a complex number… something tends towards infinity?
Sep
14
asked Recurrence vs Recursive
Sep
13
revised Find the probability that no husband sits next to his wife
clarified own answer by removing purposeless statements
Sep
10
awarded  Nice Answer
Sep
10
answered Greatest possible measure of $\angle A$ in an isosceles triangle $ABC$
Sep
10
revised How does one simplify the expression $\sqrt[3]{2 \sqrt{2}}\left(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\right)$
The title suggested that there should be an equation to solve, yet its a question regarding the simplification of an expression.
Sep
10
suggested suggested edit on How does one simplify the expression $\sqrt[3]{2 \sqrt{2}}\left(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\right)$
Aug
4
comment Inequality in four variables which sum up to 4
The key lies in proving that the LHS of the second inequality has its maximum at $x = y = z = t = 1$ (under the given constraints)
Aug
3
comment Evaluate $\lim_{x \to -\infty} \left(\frac{\sqrt{1+x^2}-x}{x} \right)$
Ahh I think I see, well what about the x term following the root! does it go to -1 as you have suggested :) ?
Jul
31
comment Deciding whether a number is rational (2 examples)
Very smooth! I am curious - can the irrationality of all algebraic irrationals, no matter how complex the number, be demonstrated by this "inductive" method (given the irrationality of all prime roots is a given) or are there any exceptions?
Jul
16
answered Inflection question
Jul
9
revised inflection points of functions question
added 1197 characters in body
Jul
9
revised Closest distance between two quadratic curves
added 29 characters in body
Jul
8
comment Minimum of $f(x,y)=\sum_{n=0}^{+\infty}\frac{(n^2−nx−y)^2}{2^n}$
Apologies, the concept of multiplication by 0 seems to yet be beyond me! Still, very fascinating that these two infinite sums equate to the same thing. I'll see if I can prove it for myself. Thank you for your replies.
Jul
6
comment Minimum of $f(x,y)=\sum_{n=0}^{+\infty}\frac{(n^2−nx−y)^2}{2^n}$
pardon, but is that not what is stated in the second line of your answer? ;)
Jul
5
comment How to prove $e^x=\lim_{n\to\infty}\left(1+\dfrac{x}{n}\right)^n$
That last step where you draw the power of x into the brackets to attain $(1+x/n)$, how is that true?
Jul
5
comment Minimum of $f(x,y)=\sum_{n=0}^{+\infty}\frac{(n^2−nx−y)^2}{2^n}$
$$\displaystyle\sum_{n = 0}^{\infty}2^{-n} = \displaystyle\sum_{n = 0}^{\infty}n2^{-n} = 2 $$ How can that be possibly true? Wow, shouldn't the RHS sum be at least some number minutely larger than 2?
Jul
2
awarded  Curious