Isn't it cool that the fundamental group of ℝℙ² is ℤ/2 cause removing a disc leaves you with a Möbius strip?
I’ll never understand why people argue about free will. Your choices were always determined by the shape of the universe at the moment you decided to argue. Isn’t that beautiful, though?
(smirking while handing you a hard shell crab) have a big bite dude. of course it's a soft shell crab
Sonja Vordermaier; installation, Street Lamp Forest.
I saw a man this morning going from tree to tree, painstakingly painting each leaf of every tree yellow, red, and gold, one by one. I always wondered how they got that way.
The origins of modern genetics. From Mendel's principles of heredity, by W. Bateson.
(cont.) These F₂ plants were again allowed to fertilise themselves and the offspring of each plant was separately sown. It was then found that the offspring, F₃, of the recessives consisted entirely of recessives. Further generations bred from these recessives again produced recessives only, and therefore the recessives which appeared in F₂ are seen to be pure to the recessive character, namely, in the case we are considering, to dwarfness. But the tall F₂ dominants when tested by a study of their offspring (F₃), instead of being all alike (as the dwarfs or recessives were), proved to be of two kinds, viz. (a) Plants which gave a mixed F₃ consisting of both talls and dwarfs, the proportion showing again an average of three talls to one dwarf. (b) Plants which gave talls only and are thus pure to tallness. The ratio of the impure (a) plants to the pure (b) plants was as 2 to 1. The whole F₂ generation therefore, formed by self-fertilisation of the original hybrid consists of three kinds of plants: 25% pure dominants, 50% impure dominants, 25% pure recessives. Or three dominants : one recessive.
The concept of antisocial behavior is strange. Are you telling me that you're spending the energy you have now in ways that destroy your opportunities to give or receive energy in the future? This seems like a losing strategy.
If you're so smart, why aren't you prosocial? Why haven't you realized that connection is the best part of life? And missing out on it is like missing the whole vibe.
do you ever think about how machine learning basically started in the 1940s and 1950s but they just didn't have the hardware at the time to implement it in a robust way
I believe there are often very significant costs associated with being honest and open in the present moment.
The percentage of people from the world population capable of following a written argument is probably very small.
Purple-backed Thornbill (Ramphomicron microrhynchum), male, family Trochilidae, order Apodiformes, Colombia
photograph by Cristian Valencia