Activity for grampsâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #280635 | Initial revision | — | almost 4 years ago |
| Answer | — |
A: Isn't it wrong to write that Indefinite Integral = Definite Integral with a variable in its Upper Limit? Your observation RHS $\in$ LHS is correct. LHS is not a unique function but a set of functions differing by a constant. I take issue with your usage of $C$. There is not really a meaningful definition of $C$ for an arbitrary antiderivative. For example, what is the constant term of $\cos(x) + 3$? ... (more) |
— | almost 4 years ago |
| Edit | Post #280389 | Initial revision | — | almost 4 years ago |
| Answer | — |
A: In $P(X\leq q)$, what do we call $q$? A quantile is an interval of values that a random variable such that all quantiles partition the range of the random variable and contain equal amounts of probability. If it does happen that $\Pr[X \le q] = \frac{1}{n}$ then $(-\infty, q]$ could be considered the first of $n$ quantiles. But $q$ itsel... (more) |
— | almost 4 years ago |
| Comment | Post #278647 |
A cyclic $n$-gon can be broken into a bunch of disjoint cyclic triangles / quadrilaterals. This observation gives a simple algorithm to calculate the area of a cyclic $n$-gon. Note: this approach requires determining lengths of chords between vertices. (more) |
— | almost 4 years ago |