{"query": "T = ⌊π√4 / 4⌋ = 1 iteration", "count": 14, "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", "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)", "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)", "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", "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", "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)", "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", "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", "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", "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)", "generated": false}, {"id": "card_src_word_reiterative", "title": "reiterative", "shelf": "dictionary", "surface": "secular", "snippet": "reiterative: (adjective) marked by iteration — syn: iterative", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "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)", "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)", "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)", "generated": false}]}