{"query": "Balancing equations — nothing is created or destroyed", "count": 20, "results": [{"id": "card_n_ae08bd563c6e", "title": "Balancing equations — nothing is created or destroyed", "shelf": "science", "surface": "secular", "snippet": "Lavoisier's law: matter is conserved, so a chemical equation must have equal atoms on\nboth sides. The engine balances in-domain — given CH4 + O2 -> CO2 + H2O it returns the true\ncoefficients CH4 + 2 O", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_bridge_theory_double_entry_accounting_identity__law_of_conservation_of_mass", "title": "Bridge: Double-entry accounting identity (A = L + E)  ↔  Law of conservation of mass (Lavoisier)", "shelf": "bridges", "surface": "secular", "snippet": "Double-entry accounting identity (A = L + E) and Law of conservation of mass (Lavoisier) are the same form in different domains. both are closed-system conservation checked by balancing two columns: n", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_spine_food", "title": "The food-growing shelf — raising your own food", "shelf": "spine", "surface": "secular", "snippet": "Growing more, beside the field library's preserving: a survival garden that grows calories first, feeding the soil, saving open-pollinated seed, planting by frost dates and season, watering deep and m", "authority_tier": "reference", "source": "The food-growing shelf (curated, public domain)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_4_1_writing_and_balancing_chemical_equat_38f51912", "title": "4.1 Writing and Balancing Chemical Equations — Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "4.1\n\nWriting and Balancing Chemical Equations\n\nLearning ObjectivesBy the end of this section, you will be able to:\n\nDerive chemical equations from narrative descriptions of chemical reactions.\n\nWrite ", "authority_tier": "reference", "source": "OpenStax: Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_2e_4_1_writing_and_balancing_chemical_equat_824e8777", "title": "4.1 Writing and Balancing Chemical Equations — Chemistry 2e", "shelf": "chemistry", "surface": "secular", "snippet": "4.1\n\nWriting and Balancing Chemical Equations\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nDerive chemical equations from narrative descriptions of chemical reactions.\n\nWrite", "authority_tier": "reference", "source": "OpenStax: Chemistry 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_atoms_first_7_1_writing_and_balancing_chemical_equat_38f51912", "title": "7.1 Writing and Balancing Chemical Equations — Chemistry: Atoms First", "shelf": "chemistry", "surface": "secular", "snippet": "7.1\n\nWriting and Balancing Chemical Equations\n\nLearning ObjectivesBy the end of this section, you will be able to:\n\nDerive chemical equations from narrative descriptions of chemical reactions.\n\nWrite ", "authority_tier": "reference", "source": "OpenStax: Chemistry: Atoms First (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_atoms_first_2e_7_1_writing_and_balancing_chemical_equat_824e8777", "title": "7.1 Writing and Balancing Chemical Equations — Chemistry: Atoms First 2e", "shelf": "chemistry", "surface": "secular", "snippet": "7.1\n\nWriting and Balancing Chemical Equations\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nDerive chemical equations from narrative descriptions of chemical reactions.\n\nWrite", "authority_tier": "reference", "source": "OpenStax: Chemistry: Atoms First 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_2e_exercises_3dd8ad1d", "title": "Exercises — Chemistry 2e", "shelf": "chemistry", "surface": "secular", "snippet": "Exercises\n\n4.1\n\nWriting and Balancing Chemical Equations\n\n1.\n\nWhat does it mean to say an equation is balanced? Why is it important for an equation to be balanced?\n\n2.\n\nConsider molecular, complete io", "authority_tier": "reference", "source": "OpenStax: Chemistry 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_exercises_8c6d4801", "title": "Exercises — Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "Exercises\n\n4.1\n\nWriting and Balancing Chemical Equations\n\n1.\n\nWhat does it mean to say an equation is balanced? Why is it important for an equation to be balanced?\n\n2.\n\nConsider molecular, complete io", "authority_tier": "reference", "source": "OpenStax: Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_atoms_first_2e_exercises_a67694bd", "title": "Exercises — Chemistry: Atoms First 2e", "shelf": "chemistry", "surface": "secular", "snippet": "Exercises\n\n7.1\n\nWriting and Balancing Chemical Equations\n\n1.\n\nWhat does it mean to say an equation is balanced? Why is it important for an equation to be balanced?\n\n2.\n\nConsider molecular, complete io", "authority_tier": "reference", "source": "OpenStax: Chemistry: Atoms First 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_chemistry_atoms_first_exercises_ef6f7282", "title": "Exercises — Chemistry: Atoms First", "shelf": "chemistry", "surface": "secular", "snippet": "Exercises\n\n7.1\n\nWriting and Balancing Chemical Equations\n\n1.\n\nWhat does it mean to say an equation is balanced? Why is it important for an equation to be balanced?\n\n2.\n\nConsider molecular, complete io", "authority_tier": "reference", "source": "OpenStax: Chemistry: Atoms First (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_c_37abe9676328", "title": "Fluid probability dynamics — one continuity  ↔ Balancing equations — nothing is created or ", "shelf": "connections", "surface": null, "snippet": "the continuity equation dρ/dt + ∇·J = 0 (current J = ρv) says density is never created or destroyed — it only flows  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_230d5b18f72e", "title": "Chemistry — the bookkeeping of atoms ↔ Balancing equations — nothing is created or ", "shelf": "connections", "surface": null, "snippet": "nothing is created or destroyed, only rearranged, and every claim balances or it is wrong  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_src_pron_balancing", "title": "balancing", "shelf": "pronunciation", "surface": "secular", "snippet": "balancing: pronounced (ARPABET) B AE1 L AH0 N S IH0 NG. 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_book_66089", "title": "Balancing and Shoeing Trotting and Pacing Horses — William J. Moore", "shelf": "gutenberg", "surface": "secular", "snippet": "Balancing and Shoeing Trotting and Pacing Horses, by William J. Moore. Subjects: Horses; Horseshoeing. Read the full text (public domain): https://www.gutenberg.org/ebooks/66089", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_etym_compensation", "title": "compensation", "shelf": "etymology", "surface": "secular", "snippet": "compensation: etymology (Webster 1913) — n.: [L. compensatio a weighing, a balancing of accounts.]. 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_c_19bc4fcdca92", "title": "Balancing equations instantiates chemistry", "shelf": "connections", "surface": null, "snippet": "One face of the sealed chemistry chain.", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_comm_john_gill_job_37_16", "title": "John Gill on Job 37:16", "shelf": "commentary", "surface": "witness", "snippet": "Dost thou know the balancings of the clouds?.... How those ponderous bodies, as some of them are very weighty, full of water, are poised, and hang in the air, without turning this way or the other, or", "authority_tier": "reference", "source": "John Gill's Exposition of the Old and New Testaments — Public Domain", "readable": false, "generated": false}, {"id": "card_src_etym_reconciliation", "title": "reconciliation", "shelf": "etymology", "surface": "secular", "snippet": "reconciliation: etymology (Webster 1913) — n.: [F. réconciliation, L. reconciliatio.]. 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_word_reconciliation", "title": "reconciliation", "shelf": "dictionary", "surface": "secular", "snippet": "reconciliation: (noun) the reestablishing of cordial relations — syn: rapprochement · (noun) getting two things to correspond — syn: balancing", "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_n_ae08bd563c6e"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}