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Apr
28
revised find integral $\int_{1}^{-1} \sin\left(x^3\right) dx$
edited tags
Apr
28
revised Why is this piece-wise limit equal to 2?
added 1 character in body
Apr
28
revised The region where the two variable function $xy/(x-y)$ is differentiable
added 2 characters in body; edited tags
Apr
28
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
Apr
22
comment The functional equation and differentiability
@kmitov also $f(0)=1$ is possible
Apr
22
answered Solve for $\alpha$: $P = \frac{1}{\sigma}\displaystyle\int_{0}^{\alpha} \exp (\frac{ -2 x^{\beta}}{\sigma} ) dx$
Apr
22
comment compute probability density function of a bivariate function without sampling
@kensaii indeed this is a convolution. If you cannot solve for one in terms of the other, this is not really usable.