Let's say hypothetically for the sake of argument you are walking through a forest $F$ when you hear a croak from a pair of frogs $(f_1, f_2)$ of the same species $S$. You do not know which frog croaked. You know only males $S_m\subset S$ of this species croak and are otherwise indistinguishable from females $S_f\subset S, S_m\cap S_f=\emptyset$. Croaking $X$ is random and independent from other frogs, females and males exist in equal proportion $|S_f| = |S_m|$ and in arbitrarily large amounts, and frogs congregate randomly and independent of other frogs.

What is the probability that both frogs are male i.e. $P(f_1\subset S_m \wedge f_2\subset S_m) = ?$

This is NOT a homework problem, jannies ($j\subset J$), as there are no frogs $f$ in my house $H$.

Could /sci/ find the answer? How did you find the answer and does it relate to anything?

How long would it take to build this irl? And could we sustain life inside it?

given z = 32 / (1 + x^2 + y^2) i need to find the point p(x, y) where the steepest ascent is found, i.e. where the gradient of f(x, y) is maximized, whats the step after i have calculated the gradient of the function?

On the internet you have this idea that the vertical coordinate of the Great Pyramid of Giza has the same numerical value as the speed of light. This would mean that the ancient Egyptians placed the pyramid to the right place with the accuracy of 0.0000001 degrees which translates to 1 centimeter (0.4 inches).

Is it actually possible to measure the location of the pyramid that precisely or are the numbers just made up by some conspiracy theorist?

>burnable waste burns literally to ashes
>non-burnable waste melts to oblivion
>any toxic contamination is negligible compared to a volcano's own stuff
>heavy metals tend to sink to bottom of magma chamber

>number of research papers downloaded in last 30 days from Sci-Hub
Why China is so based?

what are some of the most promising young mathematicians of our time

Is the big booty craze just evolutionary or is it a Jewish psy-op? My normalfag “Chad” friend keeps sending me pictures like this and I simply don’t see the appeal in a butt that large— and if anyone’s susceptible to brainwashing it’s him. Is there any reasonable explanation for this degenerative shit being seen as attractive these days?

It has been 6 years since i last did math, in the mean time i have been fucking around and wasting my life, only just recently getting my shit together with working out and actually getting life in order. Since i have been fixated with getting my body into shape it is only fair that i must get my mind up to snuff and preventing my brain from getting even more dulled. If any of you can lend a hand where to start and how to get back into math, through methods, websites and such i would be grateful, since i do not know what i have forgotten and what i know i need to reintroduce myself to such and so. Thanks to anyones help in advance.