Activity for DonielF‭

Type	On...	Excerpt	Status	Date
Comment	Post #283253	Required viewing for Bayes' Theorem for odds: https://www.youtube.com/watch?v=lG4VkPoG3ko. 3Blue1Brown does an amazing job of explaining this version of the equation, how it differs conceptually (but not mathematically) from the usual probabilistic version, and why this version is arguably better. (more)	—	over 2 years ago
Comment	Post #283254	Required viewing for Bayes' Theorem for odds: https://www.youtube.com/watch?v=lG4VkPoG3ko. 3Blue1Brown does an amazing job of explaining this version of the equation, how it differs conceptually (but not mathematically) from the usual probabilistic version, and why this version is arguably better. (more)	—	over 2 years ago
Comment	Post #282886	How does $\sec\theta d\theta = d\left(\sec\theta\right)$? (more)	—	over 2 years ago
Comment	Post #278419	I'm not so well-versed in the relevant maths, but it would seem to be that the inverse would hold — any set containing the infinite set of primes must itself be infinite, though not necessarily of the same cardinality. (more)	—	over 3 years ago
Comment	Post #278376	This I feel is a solid proof, but is probably not the one intended. I gather your kid is taking middle/high school Geometry and has not yet learned Trig, and certainly not this formulation of the area of a triangle. (more)	—	over 3 years ago
Edit	Post #278376	Post edited:	—	over 3 years ago
Edit	Post #278376	Initial revision	—	over 3 years ago
Answer	—	A: Similar triangles with the same area For a triangle defined by three points $X, Y, Z$: $$A{\triangle XYZ}=\frac12\cdot\overline{XY}\cdot\overline{YZ}\cdot\sin{\angle Y}$$ Since $A{\triangle ACD}=A{\triangle AEB}$, $$\overline{AB}\cdot\overline{BE}\cdot\sin\angle B=\overline{AC}\cdot\overline{CD}\cdot\sin\angle C$$ Since $\o... (more)	—	over 3 years ago