{"query": "Osterwalder 1973 — Axioms for Euclidean Green's functions", "count": 20, "results": [{"id": "card_chain_osterwalder_schrader_1973", "title": "Osterwalder 1973 — Axioms for Euclidean Green's functions", "shelf": "codex", "surface": "secular", "snippet": "K. Osterwalder, R. Schrader (1973). Axioms for Euclidean Green's functions. Comm. Math. Phys. 31 (1973) 83–112. DOI 10.1007/BF01645738. Canonical: https://doi.org/10.1007/BF01645738. Free copy: https:", "authority_tier": "reference", "source": "K. Osterwalder, R. Schrader (1973), Comm. Math. Phys. 31 (1973) 83–112", "readable": false, "generated": false}, {"id": "card_src_pron_green_s", "title": "green's", "shelf": "pronunciation", "surface": "secular", "snippet": "green's: pronounced (ARPABET) G R IY1 N Z. 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_calc_gravitational_potential", "title": "Newtonian potential", "shelf": "calculations", "surface": "secular", "snippet": "Newtonian potential — physics. Formula: phi = -integral G m / r dV. Canonical FORM: green_function (u = integral G(x,x') f(x') dx') — the same Green's function of the Laplacian, for mass. Same form, d", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_bridge_dual_green_function__convolution", "title": "Duality: green_function  ↔  convolution  (impulse response)", "shelf": "bridges", "surface": "secular", "snippet": "A deep bridge between two forms — impulse response. a Green's function IS an impulse response; the solution is its convolution with the source", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_src_book_61889", "title": "Lectures on the Principles of Political Obligation Reprinted from Green's Philosophical Works, vol. II., with Preface by Bernard Bosanquet — Thomas Hill Green", "shelf": "gutenberg", "surface": "secular", "snippet": "Lectures on the Principles of Political Obligation Reprinted from Green's Philosophical Works, vol. II., with Preface by Bernard Bosanquet, by Thomas Hill Green. Subjects: Liberty; Natural law; Politi", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_theory_non_euclidean_hyperbolic_elliptic_geometry", "title": "Non-Euclidean (hyperbolic / elliptic) geometry", "shelf": "theories", "surface": "secular", "snippet": "Non-Euclidean (hyperbolic / elliptic) geometry — an engine domain that can touch it: geometry. Calibration: partial — curvature relations verify; the choice of axioms is map-only. Deny Euclid's fifth ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_kolmogorov_probability_axioms", "title": "Kolmogorov probability axioms", "shelf": "theories", "surface": "secular", "snippet": "Kolmogorov probability axioms — an engine domain that can touch it: probability. Calibration: seals. Three axioms (1933): probabilities are non-negative, the whole sample space has probability 1, and ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_peano_arithmetic_axioms", "title": "Peano arithmetic axioms", "shelf": "theories", "surface": "secular", "snippet": "Peano arithmetic axioms — an engine domain that can touch it: number_theory. Calibration: seals. Five axioms generating the natural numbers: zero is a number, every number has a successor, zero succee", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_euclidean_geometry_the_parallel_postulate", "title": "Euclidean geometry & the parallel postulate", "shelf": "theories", "surface": "secular", "snippet": "Euclidean geometry & the parallel postulate — an engine domain that can touch it: geometry. Calibration: seals. Five postulates from which Euclid derived the plane geometry of the Elements (c. 300 BC)", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_measure_theory__lebesgue_integration", "title": "Measure theory (Lebesgue integration)", "shelf": "theories", "surface": "secular", "snippet": "Measure theory (Lebesgue integration) — an engine domain that can touch it: mathematics. Calibration: map-only — a foundation, not a computation. What it means for a set to have a SIZE, done carefully", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_zermelo_fraenkel_set_theory_zfc", "title": "Zermelo–Fraenkel set theory (ZFC)", "shelf": "theories", "surface": "secular", "snippet": "Zermelo–Fraenkel set theory (ZFC) — an engine domain that can touch it: formal_logic. Calibration: map-only — an axiomatic foundation, not a computation. Nine or so axioms about sets from which essent", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_word_euclidean_axiom", "title": "euclidean axiom", "shelf": "dictionary", "surface": "secular", "snippet": "euclidean axiom: (noun) (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry — syn: Euclid's axiom, Euclid's postulate", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_floor_yang_mills", "title": "The Yang-Mills chain - from the gauge field and the axioms to the mass gap", "shelf": "codex", "surface": "secular", "snippet": "Two trees. The gauge field: Maxwell, Weyl's gauge principle (1929), Yang and Mills' non-abelian field (1954). The axioms: Wightman's (1956) and Osterwalder-Schrader's Euclidean ones (1973) - what it m", "authority_tier": "engine_derived", "source": "Narrow Highway - a chain on the one map (operator seed)", "readable": false, "generated": false}, {"id": "card_theory_antisepsis_handwashing", "title": "Antisepsis & handwashing (Semmelweis, Lister)", "shelf": "theories", "surface": "secular", "snippet": "Antisepsis & handwashing (Semmelweis, Lister) — an engine domain that can touch it: medicine. Calibration: map-only — the effect sizes are historical measurements. Ignaz Semmelweis noticed in 1847 tha", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_word_euclid_s_axiom", "title": "euclid's axiom", "shelf": "dictionary", "surface": "secular", "snippet": "euclid's axiom: (noun) (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry — syn: Euclid's postulate, Euclidean axiom", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_theory_hess_s_law_thermochemistry", "title": "Hess's law / thermochemistry", "shelf": "theories", "surface": "secular", "snippet": "Hess's law / thermochemistry — an engine domain that can touch it: chemistry. Calibration: seals — enthalpy sums compute exactly. The total enthalpy change of a reaction is the same whatever route it ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_etym_withers", "title": "withers", "shelf": "etymology", "surface": "secular", "snippet": "withers: etymology (Webster 1913) — n. pl.: [Properly, the parts which resist the pull or strain in drawing a load; fr. OE. wither resistance, AS. withre, fr. wither against; akin to G. widerrist with", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_theory_fractals", "title": "Fractals & self-similarity (Mandelbrot)", "shelf": "theories", "surface": "secular", "snippet": "Fractals & self-similarity (Mandelbrot) — an engine domain that can touch it: mathematics. Calibration: seals — fractal dimensions and iteration counts compute. A shape whose parts resemble the whole ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_fed_tm11_2651", "title": "TM 11-2651 Antenna Groups AN/GRA-4 and AN/GRA-12.", "shelf": "practical", "surface": "secular", "snippet": "TM 11-2651 Antenna Groups AN/GRA-4 and AN/GRA-12.. A United States federal publication, public domain (17 USC 105). The full text (116,055 bytes) is held on the ark; waybill sha256 55bdbe9d10edb182…; ", "authority_tier": "reference", "source": "United States military field manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_word_euclid_s_postulate", "title": "euclid's postulate", "shelf": "dictionary", "surface": "secular", "snippet": "euclid's postulate: (noun) (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry — syn: Euclid's axiom, Euclidean axiom", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "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_chain_osterwalder_schrader_1973"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}