翻訳言語

Show HN: ビートから音符、そしてその先へ

音楽の基本構成要素とされる音符、スケール、ハーモニーは、実は原始的な要素ではなく、創発的な構造であると論じる。音程はリズムが高速化したものに過ぎないという斬新な視点を提示する。NotebookLMが生成したポッドキャストも公開中。

Artemis II, Apollo 8, and Apollo 13
7.5
The Artemis II mission launched to orbit the moon, similar to Apollo 8's preparatory mission in 1968. Like Apollo 13, it will swing around the moon rather than entering lunar orbit.
Mendeleev’s inequality
2.0
Dmitri Mendeleev, known for creating the periodic table, also discovered a mathematical theorem about polynomials and their derivatives. The theorem originated from his empirical research on interpolation problems.
Toffoli gates are all you need
2.0
Landauer's principle establishes a fundamental energy limit for erasing information, requiring at least log(2) kB T per bit. This thermodynamic constraint applies regardless of how information is physically stored, setting a universal lower bound for computational energy costs.
A Three- and a Four- Body Problem
2.0
The Artemis I mission lasted 25 days, much longer than the upcoming Artemis II's 10 days, allowing it to take an unusual orbital path. The unmanned nature of Artemis I enabled this extended duration and more complex trajectory.
Root prime gap
2.0
Andrica's conjecture states that the square roots of consecutive prime numbers are less than 1 apart. This has been empirically verified for primes up to 2 × 10^19.

翻訳言語

Artemis II, Apollo 8, and Apollo 13
7.5
The Artemis II mission launched to orbit the moon, similar to Apollo 8's preparatory mission in 1968. Like Apollo 13, it will swing around the moon rather than entering lunar orbit.
Mendeleev’s inequality
2.0
Dmitri Mendeleev, known for creating the periodic table, also discovered a mathematical theorem about polynomials and their derivatives. The theorem originated from his empirical research on interpolation problems.
Toffoli gates are all you need
2.0
Landauer's principle establishes a fundamental energy limit for erasing information, requiring at least log(2) kB T per bit. This thermodynamic constraint applies regardless of how information is physically stored, setting a universal lower bound for computational energy costs.
A Three- and a Four- Body Problem
2.0
The Artemis I mission lasted 25 days, much longer than the upcoming Artemis II's 10 days, allowing it to take an unusual orbital path. The unmanned nature of Artemis I enabled this extended duration and more complex trajectory.
Root prime gap
2.0
Andrica's conjecture states that the square roots of consecutive prime numbers are less than 1 apart. This has been empirically verified for primes up to 2 × 10^19.

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