{"id":"W4205284019","doi":"10.5539/ijsp.v10n4p21","title":"Mechanical Proof of the Maxwell-Boltzmann Speed Distribution With Numerical Iterations","year":2021,"lang":"en","type":"article","venue":"International Journal of Statistics and Probability","topic":"Computational Physics and Python Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Taiwan University","keywords":"Randomness; Maxwell–Boltzmann distribution; Boltzmann equation; Distribution function; Boltzmann constant; Physics; Distribution (mathematics); Square root; Function (biology); Mathematical analysis; Classical mechanics; Mathematics; Quantum mechanics; Geometry; Electron; Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002605488,0.000973433,0.0007884319,0.001600775,0.00113275,0.001715839,0.00125207,0.0009662395,0.01078199],"category_scores_gemma":[0.0133658,0.0004347536,0.001359478,0.0008248707,0.003063209,0.002262118,0.002646544,0.003080724,0.00223781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001336302,"about_ca_system_score_gemma":0.001817298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001997304,"about_ca_topic_score_gemma":0.001118141,"domain_scores_codex":[0.998066,0.0004163721,0.0000969676,0.0002173377,0.00107677,0.0001265962],"domain_scores_gemma":[0.9964277,0.001727305,0.0002290746,0.0004698252,0.001032628,0.0001134452],"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":[0.00001560695,0.00001822073,0.0002334503,0.00008509271,0.00001332151,0.00006514759,0.0001104131,0.03679507,0.0007926004,0.9468395,0.00298686,0.01204477],"study_design_scores_gemma":[0.00002437009,0.00002653436,0.0002577596,0.0000849421,0.000008934067,0.000154709,0.0000347952,0.3645058,0.001377312,0.6073701,0.0261258,0.00002887081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004407362,0.000569677,0.9444966,0.0008129778,0.0005918978,0.00007179863,0.0001681693,0.0003104763,0.04857099],"genre_scores_gemma":[0.3276372,0.001928226,0.6258622,0.0009906469,0.001265277,0.0007354249,0.0003924124,0.001205523,0.03998295],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01078199,"threshold_uncertainty_score":0.03606939,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01293493563864925,"score_gpt":0.2669165046923125,"score_spread":0.2539815690536633,"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."}}