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 2d comment find integral $\int_{1}^{-1} \sin\left(x^3\right) dx$ @martycohen indeed, it does 2d answered Determine whether $w$ is in the $Span\{v_1, v_2, v_3\}$ 2d answered find integral $\int_{1}^{-1} \sin\left(x^3\right) dx$ 2d revised find integral $\int_{1}^{-1} \sin\left(x^3\right) dx$ edited tags 2d revised Why is this piece-wise limit equal to 2? added 1 character in body 2d revised The region where the two variable function $xy/(x-y)$ is differentiable added 2 characters in body; edited tags 2d reviewed Approve $\sum_{k=1}^n 1/k - \log n$ Apr 26 comment Can someone help me balance this game (probability question) do you have your own thoughts on the problem to share? Apr 26 revised Optimization of approximate functions using varying objective function deleted 9 characters in body Apr 26 comment Predicting values based on given data @ealeon yes, but i would be somewhat suspicious using polynomial fitting for far-off extrapolation. Apr 22 answered Predicting values based on given data Apr 22 comment Confusion about elements in fields, like -1 in Z5 @confused what do you mean by natural? By definition, $\mathbb{Z}_5$ has $5$ elements, so if all natural numbers are to be there, you need to think of elements of $\mathbb{Z}_5$ as some sort of grouping of the natural numbers. In this case, it is through equivalence classed of the equivalence modulo 5. Apr 22 comment How to solve $\frac{1}{(|x| - 3)}$ $\lt$ $\frac{1}{2}$? this is correct, that is the method i would use for such a problem Apr 22 answered Confusion about elements in fields, like -1 in Z5 Apr 22 revised Probability of getting exactly $\alpha$ “A” runs and $\beta$ “B” runs in a randomly drawn word edited tags Apr 22 revised Conditioning on a conditioned event added 4 characters in body Apr 22 revised In how many different ways can a schedule be created for all rounds in a ping pong table tournament? added 16 characters in body; edited tags Apr 22 revised The functional equation and differentiability added 101 characters in body Apr 22 comment The functional equation and differentiability @Roman83 if you assume $f$ is one-to-one, then $f(a) = f(b) \implies a = b$. Notice the result satisfies this property as well as that $f(0)=1$... Apr 22 answered The functional equation and differentiability