{"query": "pH — the logarithm of the proton", "count": 20, "results": [{"id": "card_n_789214dd088e", "title": "pH — the logarithm of the proton", "shelf": "science", "surface": "secular", "snippet": "pH = −log₁₀[H⁺]: acidity is literally a logarithm, so each unit is a tenfold change in\nproton concentration — pH 4 is ten times more acidic than pH 5, a hundred times more than\npH 6. Sealed in-domain:"}, {"id": "card_c_9d6917fca9f5", "title": "pH — the logarithm of the proton ↔ Logarithms — multiplication made addition, a", "shelf": "connections", "surface": null, "snippet": "−log₁₀(10⁻⁴) = 4 sealed on the logarithm card. This is chemistry borrowing the grammar of the senses  — a concord the card itself states; mined + verified."}, {"id": "card_c_857eed5a5e82", "title": "Logarithms — multiplication made addition, a ↔ pH — the logarithm of the proton", "shelf": "connections", "surface": null, "snippet": "All sealed: ... acidity by pH (-log10(10^-4) = 4).  — a concord the card itself states; mined + verified."}, {"id": "card_src_oeis_a002162", "title": "A002162 — Decimal expansion of the natural logarithm of 2.", "shelf": "oeis", "surface": "secular", "snippet": "Decimal expansion of the natural logarithm of 2.  First terms: 6, 9, 3, 1, 4, 7, 1, 8, 0, 5, 5, 9, 9, 4, 5, 3, 0, 9, 4, 1, 7, 2, 3, 2."}, {"id": "card_src_word_ph", "title": "ph", "shelf": "dictionary", "surface": "secular", "snippet": "ph: (noun) (from potential of Hydrogen) the logarithm of the reciprocal of hydrogen-ion concentration in gram atoms per liter; provides a measure on a scale from 0 to 14 of the acidity or alkalinity o"}, {"id": "card_c_60eaf1dc310a", "title": "The logarithm inverts radioactive decay", "shelf": "connections", "surface": null, "snippet": "Half-life is a logarithm of the surviving fraction — the carbon clock read backward."}, {"id": "card_src_word_ph_scale", "title": "ph scale", "shelf": "dictionary", "surface": "secular", "snippet": "ph scale: (noun) (from potential of Hydrogen) the logarithm of the reciprocal of hydrogen-ion concentration in gram atoms per liter; provides a measure on a scale from 0 to 14 of the acidity or alkali"}, {"id": "card_c_6b353b6912b0", "title": "The logarithm inverts the capacitor's exponential clock", "shelf": "connections", "surface": null, "snippet": "Exponential rises by multiplying; the logarithm returns by adding. One law, two directions."}, {"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_proton", "title": "proton", "shelf": "dictionary", "surface": "secular", "snippet": "proton: (noun) a stable particle with positive charge equal to the negative charge of an electron"}, {"id": "card_src_oeis_a002164", "title": "A002164 — E.g.f.: high-temperature series in J/2kT for logarithm of partition function for the spin-1/2 linear (1D) Heisenberg model.", "shelf": "oeis", "surface": "secular", "snippet": "E.g.f.: high-temperature series in J/2kT for logarithm of partition function for the spin-1/2 linear (1D) Heisenberg model.  First terms: 0, 3, -6, -30, 360, 504, -44016, 204048, 8261760, -128422272, "}, {"id": "card_c_27e331f56531", "title": "pH is a logarithm", "shelf": "connections", "surface": null, "snippet": "pH = -log10[H+] — chemistry using the exact log scale of the senses."}, {"id": "card_src_lex_g2501", "title": "G2501 — Ἰωσήφ (Iōsēph): Joseph", "shelf": "lexicon", "surface": "secular", "snippet": "Ἰωσήφ (Iōsēph), Strong's G2501: Joseph. Ἰωσήφ indecl. (FlJ, Ἰώσηπος, -ου), ὁ (Heb. יוֹסֵף), Joseph ; __1. the Son of Jacob : Jhn.4:5 , Act.7:9, 13-14 7:18 , Heb.11:21-22 , Rev.7:8 . __2. In the geneal"}, {"id": "card_src_lex_g5457", "title": "G5457 — φῶς (phōs): light", "shelf": "lexicon", "surface": "secular", "snippet": "φῶς (phōs), Strong's G5457: light. φῶς (Att.. contr. from φάος; φάω), genitive, φωτός, τό, [in LXX chiefly for אוֹר ;] light (opposite to τὸ σκότος, ἡ σκοτία): Mat.17:2 , 5, Jhn.11:9-10 , 2Co.4:6 ; ἡλ"}, {"id": "card_src_word_antiproton", "title": "antiproton", "shelf": "dictionary", "surface": "secular", "snippet": "antiproton: (noun) an unstable negatively charged proton; the antiparticle of a proton"}, {"id": "card_src_book_58613", "title": "The Phœnix of Sodom; or, the Vere Street Coterie Being an Exhibition of the Gambols Practised by the Ancient Lechers of Sodom and Gomorrah, Embellished and Improved with the Modern", "shelf": "gutenberg", "surface": "secular", "snippet": "The Phœnix of Sodom; or, the Vere Street Coterie Being an Exhibition of the Gambols Practised by the Ancient Lechers of Sodom and Gomorrah, Embellished and Improved with the Modern Refinements in Sodo"}, {"id": "card_n_cda0b1e1a364", "title": "Fusion — why the stars shine", "shelf": "science", "surface": "secular", "snippet": "Four hydrogens weigh more than one helium; the difference is sunlight. Sealed from\nthe measured masses: 4·m(H) − m(He-4) = 0.0287 u → 26.73 MeV per helium forged: https://narrowhighway.com/s/8a5e89ab1"}, {"id": "card_src_book_56289", "title": "The Study of Astronomy, adapted to the capacities of youth In twelve familiar dialogues, between a tutor and his pupil: explaining the general phænomena of the heavenly bodies, the", "shelf": "gutenberg", "surface": "secular", "snippet": "The Study of Astronomy, adapted to the capacities of youth In twelve familiar dialogues, between a tutor and his pupil: explaining the general phænomena of the heavenly bodies, the theory of the tides"}, {"id": "card_n_aa5069bdfcb0", "title": "1 Clement XXV", "shelf": "patristics", "surface": "witness", "snippet": "Let us consider that wonderful sign [of the resurrection] which takes place in eastern lands, that is, in Arabia and the countries round about. There is a certain bird which is called a phœnix. This i"}, {"id": "card_src_lex_g5455", "title": "G5455 — φωνέω (phōneō): to call", "shelf": "lexicon", "surface": "secular", "snippet": "φωνέω (phōneō), Strong's G5455: to call. φωνέω , -ῶ (φωνή), [in LXX for קָרָא ( Jer.17:11 , al.), etc. ;] __I. Intrans. __1. Of persons, to call out, cry out, speak aloud : Luk.8:8; φωνῇ μεγάλῃ, Mrk.1"}]}