{"query": "Radioactive decay — the exponential clock of matter", "count": 20, "results": [{"id": "card_n_cfb57dd6b005", "title": "Radioactive decay — the exponential clock of matter", "shelf": "science", "surface": "secular", "snippet": "Sealed in-domain: after one half-life exactly half remains; after two, exactly one\nquarter (2^(−2) = 1/4, exact); carbon-14's decay constant is ln2/5730 years = 3.833×10⁻¹²\nper second: https://narrowh"}, {"id": "card_c_01a2b706782a", "title": "Radioactive decay — the exponential clock of ↔ Capacitor — the exponential clock (RC time c", "shelf": "connections", "surface": null, "snippet": "The same exponential that discharges a capacitor empties a nucleus's odds — the bench's RC clock and the carbon clock are one curve wearing different constants.  — a concord the card itself states; mi"}, {"id": "card_c_77ba6d7691ca", "title": "Pheromones — the molecule is the message ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "Pheromones DIFFUSE down a gradient (the continuity/diffusion equation) and DECAY (the exponential clock) — the fluid and the clock of this whole map, carried in a scent.  — a concord the card itself s"}, {"id": "card_c_b71d6ddb4a46", "title": "Logarithms — multiplication made addition, a ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "it is the exact INVERSE of the exponential that is the spine of this whole map: the capacitor's RC clock, radioactive decay, compound interest, the diode's curve all rise by multiplying; the logarithm"}, {"id": "card_src_word_radioactive_decay", "title": "radioactive decay", "shelf": "dictionary", "surface": "secular", "snippet": "radioactive decay: (noun) the spontaneous disintegration of a radioactive substance along with the emission of ionizing radiation — syn: decay, disintegration"}, {"id": "card_n_770170ab1111", "title": "The linguistic clock — the comparative method dates the dispersal", "shelf": "science", "surface": "secular", "snippet": "The same history is written in the words. The comparative method reconstructs ancestral\ntongues from their daughters (sealed in the language-evolution wing), and glottochronology's\nexponential vocabul"}, {"id": "card_src_book_12694", "title": "History of the American Clock Business for the Past Sixty Years, and Life of Chauncey Jerome Barnum's Connection with the Yankee Clock Business — Chauncey Jerome", "shelf": "gutenberg", "surface": "secular", "snippet": "History of the American Clock Business for the Past Sixty Years, and Life of Chauncey Jerome Barnum's Connection with the Yankee Clock Business, by Chauncey Jerome. Subjects: Clock and watch making --"}, {"id": "card_c_5592b5e8c1e7", "title": "Logarithms — multiplication made addition, a ↔ Capacitor — the exponential clock (RC time c", "shelf": "connections", "surface": null, "snippet": "it is the exact INVERSE of the exponential that is the spine of this whole map: the capacitor's RC clock, radioactive decay, compound interest, the diode's curve all rise by multiplying; the logarithm"}, {"id": "card_c_c40ecb16eb60", "title": "The nucleus — the strongest glue and the slo ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "the decay constant λ = ln2/t½ for carbon-14 (3.833×10⁻¹² per second — a clock ticking in every living thing)  — a concord the card itself states; mined + verified."}, {"id": "card_src_word_clock_dial", "title": "clock dial", "shelf": "dictionary", "surface": "secular", "snippet": "clock dial: (noun) the face of a clock showing hours and minutes of the day — syn: clock face"}, {"id": "card_src_word_clock_face", "title": "clock face", "shelf": "dictionary", "surface": "secular", "snippet": "clock face: (noun) the face of a clock showing hours and minutes of the day — syn: clock dial"}, {"id": "card_n_c3ca8e5c3a1f", "title": "Augustine, Confessions §aug_conf_13_047: Let Thy works praise Thee, that we may love Thee; and let us love Thee, that ...", "shelf": "classics", "surface": "witness", "snippet": "Let Thy works praise Thee, that we may love Thee; and let us love Thee, that Thy works may praise Thee, which from time have beginning and ending, rising and setting, growth and decay, form and privat"}, {"id": "card_n_b10117556d41", "title": "The two clocks — quartz, cesium, and the second", "shelf": "science", "surface": "secular", "snippet": "The wrist clock and the world clock. Quartz beats 32,768 times a second; the SI second is\nDEFINED as 9,192,631,770 oscillations of cesium-133's hyperfine transition (since 1967) —\nsealed: the cesium c"}, {"id": "card_c_a9b4d948a0b4", "title": "Gamma rays — the spectrum meets the nucleus ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "decay chains and half-lives verify in-domain (NUCLEAR_VERIFY)  — a concord the card itself states; mined + verified."}, {"id": "card_c_27866e541925", "title": "The evolution of language — descent traced b ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "core vocabulary decays EXPONENTIALLY, ~86% retained per millennium, a ~4,595-year half-life; the linear-decay misconception sealed BROKEN  — a concord the card itself states; mined + verified."}, {"id": "card_c_122ecae2ff8b", "title": "Glottochronology — carbon-dating the words ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "The identical decay math as carbon-14, which is why it is called linguistic dating.  — a concord the card itself states; mined + verified."}, {"id": "card_n_36048aaa9a1b", "title": "Glottochronology — carbon-dating the words", "shelf": "science", "surface": "secular", "snippet": "Swadesh (1950s): a language's CORE vocabulary — the 100-200 most basic words (mother,\nwater, two, hand) — is replaced at a roughly constant rate, so its loss is EXPONENTIAL:\nretention r^t with r about"}, {"id": "card_n_5d1c28bd4ea5", "title": "Logarithms — multiplication made addition, and the grammar of the senses", "shelf": "science", "surface": "secular", "snippet": "The logarithm turns multiplication into addition: log(15) = log(3)+log(5), sealed. That\none property made calculation possible before computers (Napier 1614 -> slide rules -> every\nengineer until 1970"}, {"id": "card_src_word_digital_clock", "title": "digital clock", "shelf": "dictionary", "surface": "secular", "snippet": "digital clock: (noun) a clock that displays the time of day digitally"}, {"id": "card_src_word_analog_clock", "title": "analog clock", "shelf": "dictionary", "surface": "secular", "snippet": "analog clock: (noun) a clock that displays the time of day by the position of hands on a dial"}]}