Catalan number (Wikipedia)
In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Catalan.- In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an arbitrary index set.
- Everything Everywhere All at Once (Wikipedia)
Everything Everywhere All at Once is a 2022 American absurdist comedy-drama film written and directed by Daniel Kwan and Daniel Scheinert, who produced it with Anthony and Joe Russo and Jonathan Wang. The film incorporates elements from several genres and film media, including surreal comedy, science fiction, fantasy, martial arts films, immigrant narrative, and animation. Michelle Yeoh stars as Evelyn Quan Wang, a Chinese-American immigrant who, while audited by the IRS, discovers that she must connect with parallel universe versions of herself to prevent a powerful being from destroying the multiverse. The film also stars Stephanie Hsu, Ke Huy Quan, Jamie Lee Curtis, and James Hong.
- Catalan number (Wikipedia)
In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Catalan.