text
stringlengths
1
5
source
dict
80303
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9865717472321277, "lm_q1q2_score": 0.870578406589985, "lm_q2_score": 0.8824278710924296, "openwebmath_perplexity": 389.4375717154165, "openwebmath_score": 0.9014335870742798, "tags": null, "url": "http://math.stackexchange.com/questions/353028/is-there-an-idempotent-element-in-a-finite-semigroup" }
67629
{ "domain": "physics.stackexchange", "id": 43215, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "visible-light, refraction, lenses", "url": null }
87965
{ "domain": "physics.stackexchange", "id": 56153, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "special-relativity, spacetime, metric-tensor, time, conventions", "url": null }
56319
{ "domain": "chemistry.stackexchange", "id": 14012, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "nomenclature, water-treatment, reagents", "url": null }
96939
{ "domain": "gateoverflow.in", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.974434783107032, "lm_q1q2_score": 0.801169684950346, "lm_q2_score": 0.8221891283434876, "openwebmath_perplexity": 418.2588539697781, "openwebmath_score": 0.9993814826011658, "tags": null, "url": "https://gateoverflow.in/371901/gate-cse-2022-question-35" }
81431
{ "domain": "mathhelpforum.com", "id": null, "lm_label": "1. Yes\n2. Yes", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9481545274901875, "lm_q1q2_score": 0.8132967071118923, "lm_q2_score": 0.8577680995361899, "openwebmath_perplexity": 1680.9338761414979, "openwebmath_score": 0.77018803358078, "tags": null, "url": "http://mathhelpforum.com/algebra/281368-finding-area-window.html" }
90478
{ "domain": "codereview.stackexchange", "id": 26515, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c#, beginner", "url": null }
11389
{ "domain": "robotics.stackexchange", "id": 8477, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "calibration, stereo, camera-calibration", "url": null }
80257
{ "domain": "physics.stackexchange", "id": 90890, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "quantum-field-theory, quantum-electrodynamics, renormalization, feynman-diagrams, dimensional-analysis", "url": null }
84151
{ "domain": "dsp.stackexchange", "id": 3382, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "digital-communications, demodulation, fsk", "url": null }
73929
{ "domain": "robotics.stackexchange", "id": 13232, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros", "url": null }
65788
{ "domain": "robotics.stackexchange", "id": 26237, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros, joy-node, joy", "url": null }
132
{ "domain": "codereview.stackexchange", "id": 24962, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, algorithm, array, complexity", "url": null }
74809
{ "domain": "wordpress.com", "id": null, "lm_label": "1. YES\n2. YES\n\n", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9911526443943918, "lm_q1q2_score": 0.8033083158230812, "lm_q2_score": 0.8104789109591831, "openwebmath_perplexity": 104.48403738152078, "openwebmath_score": 0.9783799052238464, "tags": null, "url": "https://dantopology.wordpress.com/tag/perfectly-normal-space/" }
59736
{ "domain": "codereview.stackexchange", "id": 13736, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c#, parsing, combinatorics", "url": null }
33281
{ "domain": "codereview.stackexchange", "id": 11900, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c#, wpf", "url": null }
24334
{ "domain": "physics.stackexchange", "id": 12346, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "homework-and-exercises, experimental-physics, kinematics, acceleration", "url": null }
77704
{ "domain": "cs.stackexchange", "id": 11893, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "turing-machines, np-complete, heuristics, probabilistic-algorithms, backtracking", "url": null }
55594
{ "domain": "codereview.stackexchange", "id": 37933, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "javascript, react.js", "url": null }
56095
{ "domain": "biology.stackexchange", "id": 6813, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "reproduction, species", "url": null }
86319
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.983596967483837, "lm_q1q2_score": 0.8018601999054825, "lm_q2_score": 0.8152324848629214, "openwebmath_perplexity": 532.5164972131246, "openwebmath_score": 1.0000100135803223, "tags": null, "url": "https://math.stackexchange.com/questions/1756366/proving-the-inequality-fracnen-leq-n-leq-en-fracnen-by-in/2289773" }
70320
{ "domain": "physics.stackexchange", "id": 77034, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "string-theory, branes, casimir-effect", "url": null }
20131
{ "domain": "robotics.stackexchange", "id": 28888, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "navigation, odometry", "url": null }
97938
{ "domain": "codereview.stackexchange", "id": 38248, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, android, asynchronous, thread-safety, promise", "url": null }
36055
{ "domain": "chemistry.stackexchange", "id": 17798, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "organic-chemistry, aromaticity, organoboron-compounds", "url": null }
33856
{ "domain": "cs.stackexchange", "id": 9865, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "combinatorics, hash-tables, probabilistic-algorithms, bloom-filters", "url": null }
66154
{ "domain": "codereview.stackexchange", "id": 20861, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "beginner, f#", "url": null }
73111
{ "domain": "codereview.stackexchange", "id": 8311, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c#, .net, winforms, .net-datatable", "url": null }
1154
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9879462178220093, "lm_q1q2_score": 0.8122786375291191, "lm_q2_score": 0.8221891261650248, "openwebmath_perplexity": 371.3461929754989, "openwebmath_score": 0.8550357818603516, "tags": null, "url": "http://math.stackexchange.com/questions/256658/a-question-on-complex-numbers" }
60564
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9572777975782055, "lm_q1q2_score": 0.8265056222081105, "lm_q2_score": 0.8633916134888614, "openwebmath_perplexity": 8748.902048526128, "openwebmath_score": 0.5297356843948364, "tags": null, "url": "https://mathematica.stackexchange.com/questions/181821/how-can-i-animate-the-plot-of-this-curve-also-showing-its-tangent-normal-vectors" }
81355
{ "domain": "physics.stackexchange", "id": 27766, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "electromagnetism, electric-fields, magnetic-fields, electric-current, induction", "url": null }
43374
{ "domain": "codereview.stackexchange", "id": 1135, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ruby, caesar-cipher", "url": null }
67038
{ "domain": "codereview.stackexchange", "id": 36841, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, mathematics, combinatorics", "url": null }
64272
{ "domain": "chemistry.stackexchange", "id": 11779, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "physical-chemistry, thermodynamics, free-energy", "url": null }
58288
{ "domain": "cs.stackexchange", "id": 2940, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "data-structures, functional-programming, programming-paradigms, persistent-data-structure", "url": null }
30608
{ "domain": "codereview.stackexchange", "id": 22966, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "beginner, php", "url": null }
33089
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9566341962906709, "lm_q1q2_score": 0.8187364811580087, "lm_q2_score": 0.855851154320682, "openwebmath_perplexity": 441.6013214719808, "openwebmath_score": 0.8178160786628723, "tags": null, "url": "https://math.stackexchange.com/questions/2876338/is-there-a-mathematical-notation-for-repeat-x-until-y" }
88729
{ "domain": "robotics.stackexchange", "id": 4048, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "gazebo-camera, gazebo-sensor, gazebo-model", "url": null }
59780
{ "domain": "codereview.stackexchange", "id": 6195, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "python, game, console", "url": null }
11074
{ "domain": "robotics.stackexchange", "id": 17821, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros-hydro, ubuntu-precise, ubuntu", "url": null }
82913
{ "domain": "codereview.stackexchange", "id": 43711, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "python, performance, recursion, dynamic-programming", "url": null }
80689
{ "domain": "physics.stackexchange", "id": 48007, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "classical-mechanics, lagrangian-formalism, mass", "url": null }
16576
{ "domain": "codereview.stackexchange", "id": 45245, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c, linux, windows", "url": null }
28776
{ "domain": "physics.stackexchange", "id": 1524, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "visible-light, energy, heat, electrons, photoelectric-effect", "url": null }
76509
{ "domain": "physics.stackexchange", "id": 92109, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "newtonian-mechanics, reference-frames, centrifugal-force, coriolis-effect", "url": null }
37444
{ "domain": "codereview.stackexchange", "id": 41816, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java", "url": null }
56992
{ "domain": "codereview.stackexchange", "id": 1960, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c, linked-list", "url": null }
94243
{ "domain": "codereview.stackexchange", "id": 19935, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "python, python-2.x, exception", "url": null }
16817
{ "domain": "codereview.stackexchange", "id": 17858, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "php, mysql, database, pdo, session", "url": null }
84827
{ "domain": "datascience.stackexchange", "id": 4044, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "neural-network, computer-vision, supervised-learning", "url": null }
532
{ "domain": "chemistry.stackexchange", "id": 14214, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "physical-chemistry, thermodynamics, enthalpy, entropy", "url": null }
47494
{ "domain": "robotics.stackexchange", "id": 33785, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros, moveit, ros-kinetic, move-group", "url": null }
22994
{ "domain": "physics.stackexchange", "id": 75994, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "particle-physics, standard-model, neutrinos, beyond-the-standard-model", "url": null }
57360
{ "domain": "physics.stackexchange", "id": 62207, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "condensed-matter, solid-state-physics, symmetry, superconductivity", "url": null }
1545
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9835969665221772, "lm_q1q2_score": 0.8217790666304188, "lm_q2_score": 0.8354835309589074, "openwebmath_perplexity": 259.4887156385694, "openwebmath_score": 0.926360011100769, "tags": null, "url": "https://math.stackexchange.com/questions/1205927/how-to-calculate-the-area-covered-by-any-spherical-rectangle" }
57623
{ "domain": "codereview.stackexchange", "id": 40228, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "python, beginner, game, hangman, turtle-graphics", "url": null }
40896
{ "domain": "physics.stackexchange", "id": 99797, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "quantum-mechanics, density-operator", "url": null }
36497
{ "domain": "dsp.stackexchange", "id": 9014, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "filter-design, moving-average, autoregressive-model, stationary", "url": null }
99030
{ "domain": "codereview.stackexchange", "id": 34934, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, algorithm, programming-challenge, dynamic-programming", "url": null }
60560
{ "domain": "robotics.stackexchange", "id": 6837, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros, stack, rosmake, rosbuild", "url": null }
47720
{ "domain": "cs.stackexchange", "id": 11105, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "algorithms, graphs, optimization", "url": null }
57994
{ "domain": "codereview.stackexchange", "id": 17670, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "sql, sql-server, stackexchange", "url": null }
28390
{ "domain": "datascience.stackexchange", "id": 11368, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "machine-learning, neural-network, scikit-learn, mlp, dropout", "url": null }
67395
{ "domain": "robotics.stackexchange", "id": 28105, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros-industrial, transform", "url": null }
8307
{ "domain": "codereview.stackexchange", "id": 39684, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c, file, console", "url": null }
78039
{ "domain": "robotics.stackexchange", "id": 38164, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros, ros2, diff-drive-controller", "url": null }
79209
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9865717424942962, "lm_q1q2_score": 0.9026154253710768, "lm_q2_score": 0.9149009509324104, "openwebmath_perplexity": 232.28270164907178, "openwebmath_score": 0.9081215858459473, "tags": null, "url": "https://math.stackexchange.com/questions/911050/what-is-the-expected-number-of-coin-tosses-needed-to-obtain-a-head" }
68215
{ "domain": "physics.stackexchange", "id": 80229, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "optics, refraction, double-slit-experiment", "url": null }
8007
{ "domain": "physics.stackexchange", "id": 38502, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "newtonian-mechanics, momentum", "url": null }
74680
{ "domain": "physics.stackexchange", "id": 67887, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "homework-and-exercises, acoustics, plasma-physics, doppler-effect, shock-waves", "url": null }
27477
{ "domain": "fasngo.org", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9840936073551713, "lm_q1q2_score": 0.8022650834883827, "lm_q2_score": 0.8152324915965392, "openwebmath_perplexity": 563.2614000795674, "openwebmath_score": 0.7634180784225464, "tags": null, "url": "https://fasngo.org/assassin-s-pfdyhnu/9e60c3-surjective-function-is-also-called" }
18022
{ "domain": "physics.stackexchange", "id": 27517, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "general-relativity, gravity, energy-conservation, mass-energy, perpetual-motion", "url": null }
97743
{ "domain": "physicsforums.com", "id": null, "lm_label": "1. YES\n2. YES\n\n", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.963779943094681, "lm_q1q2_score": 0.8229839898222024, "lm_q2_score": 0.8539127585282745, "openwebmath_perplexity": 546.6074096202633, "openwebmath_score": 0.857922375202179, "tags": null, "url": "https://www.physicsforums.com/threads/whats-the-difference-between-a-ring-and-a-field.969137/" }
25394
{ "domain": "codereview.stackexchange", "id": 32572, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c++, multithreading, thread-safety", "url": null }
37418
{ "domain": "physics.stackexchange", "id": 24804, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "fluid-dynamics, surface-tension", "url": null }
49453
{ "domain": "codereview.stackexchange", "id": 26153, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "php, array", "url": null }
62522
{ "domain": "dsp.stackexchange", "id": 7679, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "matlab, amplitude", "url": null }
10485
{ "domain": "physics.stackexchange", "id": 70385, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "electromagnetism, general-relativity, electrostatics, causality, coulombs-law", "url": null }
97957
{ "domain": "codereview.stackexchange", "id": 16538, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "algorithm, strings, rust, edit-distance", "url": null }
99370
{ "domain": "physics.stackexchange", "id": 93757, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "newtonian-mechanics, rotational-dynamics, reference-frames, moment-of-inertia", "url": null }
56163
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9702399026119352, "lm_q1q2_score": 0.8340800718295469, "lm_q2_score": 0.8596637487122112, "openwebmath_perplexity": 205.19809511520805, "openwebmath_score": 0.8079631924629211, "tags": null, "url": "https://math.stackexchange.com/questions/2019886/prove-that-my-operation-is-equivalent-to-n1-1/2019952" }
67297
{ "domain": "robotics.stackexchange", "id": 11005, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ros, multi-robot, icreate", "url": null }
4779
{ "domain": "physics.stackexchange", "id": 85781, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "pressure, air", "url": null }
36174
{ "domain": "codereview.stackexchange", "id": 10022, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, android", "url": null }
2179
{ "domain": "cs.stackexchange", "id": 7325, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "correctness-proof, induction, quicksort", "url": null }
93116
{ "domain": "biology.stackexchange", "id": 10893, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "ethology, sociality, animal-psychology", "url": null }
98874
{ "domain": "jasonbhill.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9873750481179169, "lm_q1q2_score": 0.8291323726769038, "lm_q2_score": 0.8397339736884711, "openwebmath_perplexity": 3230.630958870691, "openwebmath_score": 0.5202064514160156, "tags": null, "url": "http://code.jasonbhill.com/category/cython/" }
49994
{ "domain": "physics.stackexchange", "id": 44700, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "electromagnetism, energy, electromagnetic-radiation, maxwell-equations, poynting-vector", "url": null }
78973
{ "domain": "chemistry.stackexchange", "id": 15725, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "thermodynamics", "url": null }
7236
{ "domain": "codereview.stackexchange", "id": 14653, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c#, object-oriented, .net, interface, polymorphism", "url": null }
12660
{ "domain": "mathhelpforum.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9877587225460771, "lm_q1q2_score": 0.8375875459805047, "lm_q2_score": 0.8479677545357569, "openwebmath_perplexity": 195.6838280566934, "openwebmath_score": 0.7586058974266052, "tags": null, "url": "http://mathhelpforum.com/discrete-math/154199-proof-induction.html" }
36035
{ "domain": "popping1204.site", "id": null, "lm_label": "1. YES\n2. YES\n\n", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9825575173068325, "lm_q1q2_score": 0.8250869244446827, "lm_q2_score": 0.8397339696776499, "openwebmath_perplexity": 349.75428318802983, "openwebmath_score": 0.8734630346298218, "tags": null, "url": "https://dtawsw.popping1204.site/area-under-sine-curve.html" }
27840
{ "domain": "codereview.stackexchange", "id": 26824, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "python, python-3.x", "url": null }
16007
{ "domain": "physics.stackexchange", "id": 63127, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "electromagnetism, charge", "url": null }
67952
{ "domain": "physics.stackexchange", "id": 79146, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "thermodynamics, statistical-mechanics, probability", "url": null }
57358
{ "domain": "codereview.stackexchange", "id": 33377, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "c++, mvc, qt, unit-conversion", "url": null }
44112
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9773707986486797, "lm_q1q2_score": 0.8058050030070528, "lm_q2_score": 0.8244619177503205, "openwebmath_perplexity": 161.88168673363026, "openwebmath_score": 0.6153501868247986, "tags": null, "url": "https://math.stackexchange.com/questions/184609/why-is-the-last-digit-of-n5-equal-to-the-last-digit-of-n" }
45366
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.962673109443157, "lm_q1q2_score": 0.8346720141946732, "lm_q2_score": 0.8670357632379241, "openwebmath_perplexity": 191.01392942908348, "openwebmath_score": 0.9079831838607788, "tags": null, "url": "https://math.stackexchange.com/questions/490405/choosing-numbers-without-consecutive-numbers?noredirect=1" }
16907
{ "domain": "codereview.stackexchange", "id": 24585, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "java, array, interview-questions", "url": null }
82418
{ "domain": "physics.stackexchange", "id": 27566, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "quantum-mechanics, photons, interference, wavefunction-collapse, quantum-eraser", "url": null }