{"public_id":"co_16d82ed9308a9d5b85619899f7e9a5c5","status":"active","merged_into_public_id":null,"resolved_public_id":"co_16d82ed9308a9d5b85619899f7e9a5c5","name":"Casimir functions","description":"Functions on a Poisson system that commute with all other functions under the Poisson bracket.","aliases":["Casimir invariants"],"types":["mathematical object"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"concept","status":"active","confidence":null,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","concept.status"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"papers":[{"corpus_id":121204575,"title":"Simple evaluation of Casimir invariants in finite-dimensional Poisson systems","citation_count":41,"url":"https://sah.borca.ai/papers/121204575"}],"claims":[{"public_id":"cl_0425ab9b7d2ae939c4881fc1d78ae6c4","text":"A procedure is presented for calculating Casimir functions of finite-dimensional Poisson systems without solving a set of partial differential equations.","corpus_id":121204575,"url":"https://sah.borca.ai/claims/cl_0425ab9b7d2ae939c4881fc1d78ae6c4"}],"related_concepts":[],"resolved_url":"https://sah.borca.ai/concepts/co_16d82ed9308a9d5b85619899f7e9a5c5","url":"https://sah.borca.ai/concepts/co_16d82ed9308a9d5b85619899f7e9a5c5"}