{"id":"W1532094623","doi":"10.2172/983321","title":"Finding General Explicit Formulas for Ising Integral Recursions","year":2006,"lang":"en","type":"report","venue":"","topic":"Advanced Physical and Chemical Molecular Interactions","field":"Chemistry","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Computation; Hamiltonian (control theory); Ising model; Order (exchange); Applied mathematics; Mathematics; Domain (mathematical analysis); Computer science; Algebra over a field; Calculus (dental); Mathematical physics; Pure mathematics; Algorithm; Physics; Mathematical analysis; Statistical physics; Mathematical optimization; Economics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001215406,0.0008979958,0.001043039,0.001832921,0.001034442,0.002205265,0.001734269,0.001110893,0.02629499],"category_scores_gemma":[0.007013031,0.0004132176,0.000981305,0.002504268,0.001191213,0.003852222,0.001847959,0.002527307,0.004059893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001098059,"about_ca_system_score_gemma":0.0008467787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001490628,"about_ca_topic_score_gemma":0.003768834,"domain_scores_codex":[0.9996169,0.00007629992,0.00002587891,0.00004383964,0.0001675695,0.00006951833],"domain_scores_gemma":[0.9988418,0.000724857,0.0000540992,0.0001407526,0.0001817452,0.00005684892],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003707574,0.00008737535,0.0005654646,0.0003452577,0.0000240006,0.0001827951,0.0003651574,0.008403961,0.003231469,0.9041535,0.01014919,0.07245465],"study_design_scores_gemma":[0.00002361696,0.00001826678,0.0003020291,0.00008471208,0.00002432803,0.000174672,0.0001011102,0.0825294,0.002901229,0.9032688,0.01054485,0.00002707352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1000703,0.00246398,0.699679,0.001921291,0.0008458126,0.0001955901,0.0009792335,0.001410213,0.1924345],"genre_scores_gemma":[0.5782362,0.004090265,0.3385531,0.0005795813,0.0006013614,0.0002727702,0.001682866,0.001790609,0.07419316],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02629499,"threshold_uncertainty_score":0.08796549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04950970958871503,"score_gpt":0.355525898605127,"score_spread":0.306016189016412,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}