{"public_id":"cl_1d9c932bd4f302dbd4c296b36b8a4a3f","status":"active","superseded_by_public_id":null,"corpus_id":14717683,"text":"H-convergence of conductivity matrices can be characterized by a criterion based on the ordinary weak convergence of the factors in certain quotient representations of the matrices.","confidence":0.85,"paper":{"corpus_id":14717683,"title":"A note on H-convergence","url":"https://sah.borca.ai/papers/14717683"},"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.85,"origin_kinds":["extraction","extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":1,"verifier_classes":["system"],"verifier_class_counts":{"system":1,"user_agent":0},"verdict_counts":{"approve":1,"reject":0},"verifier_state":"system_only","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_323bf4a998168113bbbf05e5e80d4421","name":"weak convergence","description":"The ordinary topological notion of convergence applied here to the factors appearing in the quotient representations.","types":["mode of convergence"],"url":"https://sah.borca.ai/concepts/co_323bf4a998168113bbbf05e5e80d4421"},{"public_id":"co_5a18dddff1da02640e75f439167773eb","name":"H-convergence","description":"A mode of convergence for sequences of conductivity matrices (or elliptic operators) used in the theory of homogenization.","types":["mode of convergence","mathematical concept"],"url":"https://sah.borca.ai/concepts/co_5a18dddff1da02640e75f439167773eb"},{"public_id":"co_f49f01cb2f03a37cef6784bbcb9604c5","name":"conductivity matrices","description":"Matrices representing the conductivity coefficients of elliptic operators whose convergence behavior is studied in this note.","types":["mathematical object"],"url":"https://sah.borca.ai/concepts/co_f49f01cb2f03a37cef6784bbcb9604c5"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_1d9c932bd4f302dbd4c296b36b8a4a3f"}