{"query": "M. F. Atiyah 1962 — Analytic cycles on complex manifolds", "count": 20, "results": [{"id": "card_src_mill_atiyah_hirzebruch_1962", "title": "M. F. Atiyah 1962 — Analytic cycles on complex manifolds", "shelf": "millennium", "surface": "secular", "snippet": "M. F. Atiyah, F. Hirzebruch (1962). Analytic cycles on complex manifolds. Topology 1 (1962) 25–45. DOI 10.1016/0040-9383(62)90094-0. Canonical: https://doi.org/10.1016/0040-9383(62)90094-0. Free copy:", "authority_tier": "reference", "source": "M. F. Atiyah, F. Hirzebruch (1962), Topology 1 (1962) 25–45", "readable": false, "generated": false}, {"id": "card_floor_hodge", "title": "The Hodge chain - from periods and topology to the classes that are not cycles", "shelf": "codex", "surface": "secular", "snippet": "Two trees. The transcendental: Riemann's periods (1857). The topological: Lefschetz's analysis situs of a variety and the (1,1) theorem (1924), de Rham's forms (1931). They become one in Hodge's harmo", "authority_tier": "engine_derived", "source": "Narrow Highway - a chain on the one map (operator seed)", "readable": false, "generated": false}, {"id": "card_theory_systems_engineering", "title": "Systems engineering (requirements, interfaces, and emergent failure)", "shelf": "theories", "surface": "secular", "snippet": "Systems engineering (requirements, interfaces, and emergent failure) — an engine domain that can touch it: operations_research. Calibration: map-only — a discipline of practice; reliability and margin", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_sabermetrics_sports_analytics", "title": "Sabermetrics / sports analytics (Pythagorean expectation, Elo)", "shelf": "theories", "surface": "secular", "snippet": "Sabermetrics / sports analytics (Pythagorean expectation, Elo) — an engine domain that can touch it: sports_analytics. Calibration: seals — expected win ratios and Elo updates compute. Bill James's Py", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fundamental_theorem_of_algebra", "title": "Fundamental theorem of algebra", "shelf": "theories", "surface": "secular", "snippet": "Fundamental theorem of algebra — an engine domain that can touch it: mathematics. Calibration: partial — root counts verify; the existence proof is map-only. Every non-constant polynomial with complex", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_saros_eclipse_cycle", "title": "The Saros cycle (eclipse prediction)", "shelf": "theories", "surface": "secular", "snippet": "The Saros cycle (eclipse prediction) — an engine domain that can touch it: ephemeris. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal them. ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_ci_gradient_manifold", "title": "The gradient manifold — one form across the planes", "shelf": "science", "surface": "secular", "snippet": "This form is already kept here as doctrine (see 'the reservoir and the manifold', from Matt Harris's Universal Gradient Manifold): the enduring value in an energy system is the RESERVOIR that stores a", "authority_tier": "reference", "source": "Collective intelligence — measured natural systems, mapped to the engine", "readable": false, "generated": false}, {"id": "card_n_5e4190e4815e", "title": "Universal Gradient Manifold (UGM) — a heat-source-agnostic energy OS", "shelf": "concepts", "surface": "secular", "snippet": "Matt's seed (Universal_Gradient_Manifold_Concept). The valuable asset in an energy system is not the fuel or the engine but the RESERVOIR that stores a gradient and the MANIFOLD that routes it to work", "authority_tier": "matt", "source": "Operator's seed (Matt) — honest grade: resonance", "readable": false, "generated": false}, {"id": "card_doctrine_reservoir_manifold", "title": "The reservoir and the manifold — value is in the routing layer, not the engine", "shelf": "doctrine", "surface": "secular", "snippet": "\"The most valuable asset in an energy system is not the fuel or the engine. It is the reservoir that stores a gradient and the manifold that routes that gradient to useful work.\"\n\nSource → Gradient → ", "authority_tier": "author", "source": "Universal Gradient Manifold — A Heat-Source-Agnostic Energy Operating System — Matt Harris", "readable": false, "generated": false}, {"id": "card_theory_differential_geometry", "title": "Differential geometry (curvature measured from inside)", "shelf": "theories", "surface": "secular", "snippet": "Differential geometry (curvature measured from inside) — an engine domain that can touch it: geometry. Calibration: map-only — specific curvature and geodesic computations verify; the framework is bro", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_openstax_foundations_information_systems_8_1_the_business_analytics_process_d74ee04a", "title": "8.1 The Business Analytics Process — Foundations of Information Systems", "shelf": "reference", "surface": "secular", "snippet": "8.1\n\nThe Business Analytics Process\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nDefine the terms associated with data analytics\n\nIdentify the importance and challenges of c", "authority_tier": "reference", "source": "OpenStax: Foundations of Information Systems (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_foundations_information_systems_8_3_analytics_to_improve_decision_making_1bda65dd", "title": "8.3 Analytics to Improve Decision-Making — Foundations of Information Systems", "shelf": "reference", "surface": "secular", "snippet": "8.3\n\nAnalytics to Improve Decision-Making\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nExplain the role and importance of analytics in decision-making\n\nExamine how organizat", "authority_tier": "reference", "source": "OpenStax: Foundations of Information Systems (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_foundations_information_systems_introduction_b9c2b501", "title": "Introduction — Foundations of Information Systems", "shelf": "reference", "surface": "secular", "snippet": "Figure\n8.1\n\nData analytics can involve analyzing large volumes of data to help guide business decisions. (credit: modification of work “2022 Data Center” by Aileen Devlin, Jefferson Lab/Flickr, Public", "authority_tier": "reference", "source": "OpenStax: Foundations of Information Systems (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_theory_win_probability_models", "title": "Win-probability & expected-value models", "shelf": "theories", "surface": "secular", "snippet": "Win-probability & expected-value models — an engine domain that can touch it: sports_analytics. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation. E", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_hydrologic_cycle_open_channel_flow", "title": "Hydrologic cycle & open-channel flow (Manning, Darcy)", "shelf": "theories", "surface": "secular", "snippet": "Hydrologic cycle & open-channel flow (Manning, Darcy) — an engine domain that can touch it: hydrology. Calibration: seals — Manning velocity, Darcy flow and catchment volumes compute. Water circulates", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_openstax_foundations_information_systems_8_4_web_analytics_df6ac599", "title": "8.4 Web Analytics — Foundations of Information Systems", "shelf": "reference", "surface": "secular", "snippet": "8.4\n\nWeb Analytics\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nExplain the role and importance of web analytics\n\nExamine how web data are collected\n\nDiscuss the web analyti", "authority_tier": "reference", "source": "OpenStax: Foundations of Information Systems (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_foundations_information_systems_8_2_foundations_of_business_intelligence_1e86c828", "title": "8.2 Foundations of Business Intelligence and Analytics — Foundations of Information Systems", "shelf": "reference", "surface": "secular", "snippet": "8.2\n\nFoundations of Business Intelligence and Analytics\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nDiscuss the importance of business intelligence and analytics\n\nExplain h", "authority_tier": "reference", "source": "OpenStax: Foundations of Information Systems (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_domchk_sports_analytics_claimed_expected_score_a", "title": "Sports Analytics: expected score a", "shelf": "sports_analytics", "surface": "secular", "snippet": "A worked check in sports analytics: expected score a.\n\nGIVEN\n  actual_score_a = 1\n\nCLAIMED\n  claimed_expected_score_a = 0.64\n\nTHE ENGINE'S VERDICT\n  sports_analytics.elo_expected_score: CONFIRMED — E_", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_domchk_sports_analytics_claimed_elo_a_post", "title": "Sports Analytics: elo a post", "shelf": "sports_analytics", "surface": "secular", "snippet": "A worked check in sports analytics: elo a post.\n\nGIVEN\n  actual_score_a = 1\n\nCLAIMED\n  claimed_elo_a_post = 1611.51\n\nTHE ENGINE'S VERDICT\n  sports_analytics.elo_rating_update: CONFIRMED — R'_a = 1611.", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_theory_cryptographic_security", "title": "Cryptographic security (hashing, checksums, PKI)", "shelf": "theories", "surface": "secular", "snippet": "Cryptographic security (hashing, checksums, PKI) — an engine domain that can touch it: cybersecurity. Calibration: seals — digests and signatures verify exactly. Three different things people routinel", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_src_mill_atiyah_hirzebruch_1962"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}