{"query": "T = ⌊π√4 / 4⌋ = 1 iteration", "count": 20, "results": [{"id": "card_v_c9ef9c121131", "title": "T = ⌊π√4 / 4⌋ = 1 iteration", "shelf": "quantum_computing", "surface": "secular", "snippet": "Verdict: HOLDS.\n• quantum_computing.grover_iterations: N=4 → T = floor(π×2.0000/4) = 1 (matches claim)\nSealed and independently re-checkable: https://narrowhighway.com/s/73aa02ea086929ab1a9610918651ee", "authority_tier": "engine", "source": "Verified by the engine — quantum_computing", "readable": false, "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_theory_numerical_analysis", "title": "Numerical analysis (why the computer's answer is not the answer)", "shelf": "theories", "surface": "secular", "snippet": "Numerical analysis (why the computer's answer is not the answer) — an engine domain that can touch it: computer_science. Calibration: map-only — error bounds and condition numbers are computable in pr", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_works_grover", "title": "How many steps Grover's search needs", "shelf": "the-works", "surface": "secular", "snippet": "To find one item among four with a quantum computer, Grover's algorithm needs just one iteration — ⌊π√N/4⌋ — where a classical search averages 2.5 look-ups.  Worked & sealed by the engine — T = ⌊π√4 /", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_src_etym_iteration", "title": "iteration", "shelf": "etymology", "surface": "secular", "snippet": "iteration: etymology (Webster 1913) — n.: [L. iteratio.]. 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_iterations", "title": "iterations", "shelf": "pronunciation", "surface": "secular", "snippet": "iterations: pronounced (ARPABET) IH2 T AH0 R EY1 SH AH0 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_src_pron_iteration", "title": "iteration", "shelf": "pronunciation", "surface": "secular", "snippet": "iteration: pronounced (ARPABET) IH2 T ER0 EY1 SH AH0 N. 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_v_quantum_computing_grover_iterations", "title": "Grover iterations", "shelf": "calculations", "surface": "secular", "snippet": "Grover iterations — quantum_computing. Formula: T = floor(pi sqrt(N)/4). Canonical FORM: power_law (y = a * x^k) — engine verifier quantum_computing.grover_iterations — the deterministic check the con", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_word_iteration", "title": "iteration", "shelf": "dictionary", "surface": "secular", "snippet": "iteration: (noun) (computer science) a single execution of a set of instructions that are to be repeated — syn: loop · (noun) (computer science) executing the same set of instructions a given number o", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_rfc_5703", "title": "RFC5703 — Sieve Email Filtering: MIME Part Tests, Iteration, Extraction, Replacement, and Enclosure", "shelf": "rfcs", "surface": "secular", "snippet": "RFC5703: Sieve Email Filtering: MIME Part Tests, Iteration, Extraction, Replacement, and Enclosure (October 2009). Status: PROPOSED STANDARD.", "authority_tier": "reference", "source": "The RFC Index (RFC Editor / IETF) — public domain", "readable": false, "generated": false}, {"id": "card_case_tempo__business__musk___spacex_iteration", "title": "Musk / SpaceX iteration (2010s)", "shelf": "strategy", "surface": "secular", "snippet": "Musk / SpaceX iteration, 2010s — build, fly, fail, fix — a fast test cadence instead of a slow perfect design. Evidence: reusable rockets by out-iterating slower, risk-averse incumbents. An instance o", "authority_tier": "reference", "source": "The Strategy Concordance — patterns of what endures", "readable": false, "generated": false}, {"id": "card_src_rfc_396", "title": "RFC396 — Network Graphics Working Group Meeting - Second Iteration", "shelf": "rfcs", "surface": "secular", "snippet": "RFC396: Network Graphics Working Group Meeting - Second Iteration (November 1972). Status: UNKNOWN.", "authority_tier": "reference", "source": "The RFC Index (RFC Editor / IETF) — public domain", "readable": false, "generated": false}, {"id": "card_src_word_looping", "title": "looping", "shelf": "dictionary", "surface": "secular", "snippet": "looping: (noun) (computer science) executing the same set of instructions a given number of times or until a specified result is obtained — syn: iteration", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_iterative", "title": "iterative", "shelf": "dictionary", "surface": "secular", "snippet": "iterative: (noun) the aspect of the verb that expresses the repetition of an action — syn: iterative aspect · (adjective) marked by iteration — syn: reiterative", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_jargle", "title": "jargle", "shelf": "etymology", "surface": "secular", "snippet": "jargle: etymology (Webster 1913) — v. i.: [Cf. OSw. jerga to repeat angrily, to brawl, Icel. jarg tedious iteration, F. jargonner to talk jargon. See Jargon gabble.]. From Webster's Revised Unabridged", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_word_mandelbrot_set", "title": "mandelbrot set", "shelf": "dictionary", "surface": "secular", "snippet": "mandelbrot set: (noun) a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical ite", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_loop", "title": "loop", "shelf": "dictionary", "surface": "secular", "snippet": "loop: (noun) fastener consisting of a metal ring for lining a small hole to permit the attachment of cords or lines — syn: cringle, eyelet, grommet, grummet · (noun) anything with a round or oval shap", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_introduction_computer_science_problem_set_a_742f5e2f", "title": "Problem Set A — Introduction to Computer Science", "shelf": "reference", "surface": "secular", "snippet": "Problem Set A\n\n1\n.\n\nDetermine at least six functional requirements for a navigational software program that could be used within an automobile.\n\n2\n.\n\nIf you were asked to define functional (software) ", "authority_tier": "reference", "source": "OpenStax: Introduction to Computer Science (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_entrepreneurship_summary_1918bbc9", "title": "Summary — Entrepreneurship", "shelf": "reference", "surface": "secular", "snippet": "Summary\n\n10.1\n\nLaunching the Imperfect Business: Lean Startup\n\nThere is no such thing as launching a perfect business. A startup requires time to clarify its identity, market, product, and business mo", "authority_tier": "reference", "source": "OpenStax: Entrepreneurship (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_additive_manufacturing_essentials_7_4_simulation_091b6112", "title": "7.4 Simulation — Additive Manufacturing Essentials", "shelf": "reference", "surface": "secular", "snippet": "7.4\n\nSimulation\n\nLearning Objectives\n\nBy the end of this section, students will be able to:\n\nDescribe the use cases of simulation and their impact on the digital thread.\n\nDifferentiate between part si", "authority_tier": "reference", "source": "OpenStax: Additive Manufacturing Essentials (CC-BY 4.0)", "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_v_c9ef9c121131"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}