{"query": "Least action — of all paths, the stationary one", "count": 20, "results": [{"id": "card_lag_least_action", "title": "Least action — of all paths, the stationary one", "shelf": "codex", "surface": "secular", "snippet": "delta S = 0: of all conceivable paths, nature takes the one where the action S = integral L dt is stationary. Euler-Lagrange gives Newton's F = ma from L = T - V, and the same one principle gives Maxw", "authority_tier": "engine_derived", "source": "Narrow Highway — the Lagrangian", "readable": false, "generated": false}, {"id": "card_theory_electromagnetic_induction", "title": "Electromagnetic induction (Faraday's law — how all electricity is made)", "shelf": "theories", "surface": "secular", "snippet": "Electromagnetic induction (Faraday's law — how all electricity is made) — an engine domain that can touch it: electrical. Calibration: seals — EMF, turns ratio and flux relations compute. A CHANGING m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_floor_the_lagrangian", "title": "The Lagrangian — the Hamiltonian's dual, the path chosen", "shelf": "codex", "surface": "secular", "snippet": "L = T - V, and the action S = integral L dt. Its law is the principle of least action: of all paths, nature takes the one where the action is stationary. Four pillars rest on the floors already seeded", "authority_tier": "engine_derived", "source": "Narrow Highway — the Lagrangian", "readable": false, "generated": false}, {"id": "card_lag_path_integral", "title": "The path integral — all paths, e^(iS/ℏ), the classical one by interference", "shelf": "codex", "surface": "secular", "snippet": "Feynman: a quantum system takes ALL paths, each weighted by e^(iS/hbar); they interfere, and where the action is stationary the phases reinforce (the classical path), elsewhere they cancel; as hbar ->", "authority_tier": "engine_derived", "source": "Narrow Highway — the Lagrangian", "readable": false, "generated": false}, {"id": "card_src_lex_h1826", "title": "H1826 — דָּמַם (da.mam): to silence: stationary", "shelf": "lexicon", "surface": "secular", "snippet": "דָּמַם (da.mam), Strong's H1826: to silence: stationary. : stationary 1) to be silent, be still, wait, be dumb, grow dumb 1a) (Qal) 1a1) to be silent 1a2) to be still, die 1a3) to be struck dumb 1b) (", "authority_tier": "reference", "source": "STEPBible TBESH/TBESG — Extended Strong's lexicon (CC-BY, Tyndale House)", "readable": false, "generated": false}, {"id": "card_src_word_stationary_wave", "title": "stationary wave", "shelf": "dictionary", "surface": "secular", "snippet": "stationary wave: (noun) a wave (as a sound wave in a chamber or an electromagnetic wave in a transmission line) in which the ratio of its instantaneous amplitude at one point to that at any other poin", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_stationary", "title": "stationary", "shelf": "etymology", "surface": "secular", "snippet": "stationary: etymology (Webster 1913) — a.: [L. stationarius: cf. F. stationnaire. Cf. Stationer.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_pron_stationary", "title": "stationary", "shelf": "pronunciation", "surface": "secular", "snippet": "stationary: pronounced (ARPABET) S T EY1 SH AH0 N EH2 R IY0. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_bridge_master_stationary_distribution", "title": "Master equation: pi = pi P  (pi P = pi)", "shelf": "bridges", "surface": "secular", "snippet": "the long-run distribution of a random process — the fixed point of its transition matrix. ONE equation, 4 domains, connected by a change of variable: probability [pi = the stationary distribution of a", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_ham_eigenbasis", "title": "The energy eigenbasis — the stationary states", "shelf": "codex", "surface": "secular", "snippet": "H psi = E psi: the eigenvectors are the stationary states, the eigenvalues the allowed energies (hydrogen's ground state 13.6057 eV, the 1/n^2 ladder - sealed on the stick). Diagonalizing H is exactly", "authority_tier": "engine_derived", "source": "Narrow Highway — the Hamiltonian", "readable": false, "generated": false}, {"id": "card_src_met_02010", "title": "Bicycling, stationary, general — 7.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Bicycling, stationary, general (Conditioning Exercise) — 7.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02013", "title": "Bicycling, stationary, 101-160 watts, vigorous effort — 8.8 METs", "shelf": "activities", "surface": "secular", "snippet": "Bicycling, stationary, 101-160 watts, vigorous effort (Conditioning Exercise) — 8.8 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02014", "title": "Bicycling, stationary, 161-200 watts, vigorous effort — 11.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Bicycling, stationary, 161-200 watts, vigorous effort (Conditioning Exercise) — 11.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02071", "title": "Rowing, stationary, general, moderate effort — 4.8 METs", "shelf": "activities", "surface": "secular", "snippet": "Rowing, stationary, general, moderate effort (Conditioning Exercise) — 4.8 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02072", "title": "Rowing, stationary, 100 watts, moderate effort — 7.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Rowing, stationary, 100 watts, moderate effort (Conditioning Exercise) — 7.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02073", "title": "Rowing, stationary, 150 watts, vigorous effort — 8.5 METs", "shelf": "activities", "surface": "secular", "snippet": "Rowing, stationary, 150 watts, vigorous effort (Conditioning Exercise) — 8.5 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02015", "title": "Bicycling, stationary, 201-270 watts, very vigorous effort — 14.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Bicycling, stationary, 201-270 watts, very vigorous effort (Conditioning Exercise) — 14.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02019", "title": "Bicycling, stationary, RPM/Spin bike class — 8.5 METs", "shelf": "activities", "surface": "secular", "snippet": "Bicycling, stationary, RPM/Spin bike class (Conditioning Exercise) — 8.5 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02070", "title": "Rowing, stationary ergometer, general, vigorous effort — 6.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Rowing, stationary ergometer, general, vigorous effort (Conditioning Exercise) — 6.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}, {"id": "card_src_met_02074", "title": "Rowing, stationary, 200 watts, very vigorous effort — 12.0 METs", "shelf": "activities", "surface": "secular", "snippet": "Rowing, stationary, 200 watts, very vigorous effort (Conditioning Exercise) — 12.0 METs, the energy cost of the activity (metabolic equivalents, where 1 MET is resting).", "authority_tier": "reference", "source": "2011 Compendium of Physical Activities (Ainsworth BE et al.)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_lag_least_action"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}