text stringlengths 3.5k 4.04k |
|---|
TOPIC: Chemistry - catalysis. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 314K => V~17L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes... |
TOPIC: Physics - energy conservation. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=9660J. EXAMPLE: 5kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - transformer attention. SPEC: Implement quicksort with invariant. CODE: def so... |
TOPIC: Math - prime factorization. PROBLEM: 14*x+306=786. TRACE: Subtract 306 => 14*x=480. Divide 14 => x=34.2857. VERIFY: 14*34.2857+306=786. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - big-O. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: emp... |
TOPIC: CS - quicksort. SPEC: Implement big-O with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 33318 RPS prod. TOPIC: History/Econ - compound interest. CONTEXT: 1349, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC: P=... |
TOPIC: Physics - energy conservation. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=52328J. EXAMPLE: 9kg at 2m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - big-O. SPEC: Implement public key crypto with invariant. CODE: def solve(arr)... |
TOPIC: Physics - Bernoulli principle. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=220500J. EXAMPLE: 9kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Pythagorean theorem. PROBLEM: 11*x+441=941. TRACE: Subtract 441 => 11*x=5... |
TOPIC: Math - Bayes theorem. PROBLEM: 7*x+342=834. TRACE: Subtract 342 => 7*x=492. Divide 7 => x=70.2857. VERIFY: 7*70.2857+342=834. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - transformer attention. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. E... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=24375J. EXAMPLE: 7kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - transformer attention. SPEC: Implement TCP vs UDP with invariant. CODE: de... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=73836J. EXAMPLE: 6kg at 1m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - hash tables. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maint... |
TOPIC: Physics - Bernoulli principle. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=174564J. EXAMPLE: 10kg at 3m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - hash tables. SPEC: Implement hash tables with invariant. CODE: def solve(ar... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=124640J. EXAMPLE: 10kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Pythagorean theorem. PROBLEM: 7*x+410=714. TRACE: Subtract 410 => 7*x=304. Divi... |
TOPIC: Physics - entropy. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=150748J. EXAMPLE: 9kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - chain rule. PROBLEM: 15*x+338=784. TRACE: Subtract 338 => 15*x=446. Divide 15 => x=29... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=60040J. EXAMPLE: 3kg at 1m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - central limit theorem. PROBLEM: 3*x+190=506. TRACE: Subtract 190 => 3... |
TOPIC: Chemistry - pH buffers. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 274K => V~30L. APPLICATION: Batteries, synthesis. TOPIC: Biology - Mendelian inheritance. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~2000... |
TOPIC: Chemistry - pH buffers. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 308K => V~30L. APPLICATION: Batteries, synthesis. TOPIC: Biology - cellular respiration. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=91776J. EXAMPLE: 7kg at 14m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Pythagorean theorem. PROBLEM: 5*x+192=670. TRACE: Subtract 192 => 5*x=47... |
TOPIC: CS - quicksort. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 30120 RPS prod. TOPIC: History/Econ - Mongol logistics. CONTEXT: 1806, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC... |
TOPIC: Physics - Bernoulli principle. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=2190J. EXAMPLE: 2kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - SQL indexing. SPEC: Implement SQL indexing with invariant. CODE: def solve(arr... |
TOPIC: Math - Pythagorean theorem. PROBLEM: 8*x+236=627. TRACE: Subtract 236 => 8*x=391. Divide 8 => x=48.8750. VERIFY: 8*48.8750+236=627. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - TCP vs UDP. SPEC: Implement quicksort with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: e... |
TOPIC: Chemistry - polymerization. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 363K => V~35L. APPLICATION: Batteries, synthesis. TOPIC: Biology - CRISPR. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes, mu... |
TOPIC: Chemistry - catalysis. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 394K => V~25L. APPLICATION: Batteries, synthesis. TOPIC: Biology - immune memory. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes, ... |
TOPIC: Chemistry - redox reactions. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 371K => V~18L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=8841J. EXAMPLE: 5kg at 9m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - Dijkstra. SPEC: Implement public key crypto with invariant. CODE: def solve(arr): ma... |
TOPIC: Physics - relativity. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=8388J. EXAMPLE: 3kg at 1m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Pythagorean theorem. PROBLEM: 5*x+36=269. TRACE: Subtract 36 => 5*x=233. Divide 5 => ... |
TOPIC: Physics - entropy. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=90972J. EXAMPLE: 10kg at 18m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - chain rule. PROBLEM: 3*x+228=627. TRACE: Subtract 228 => 3*x=399. Divide 3 => x=133.0... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=199360J. EXAMPLE: 9kg at 7m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - big-O. SPEC: Implement quicksort with invariant. CODE: def solve(arr): mai... |
TOPIC: Chemistry - catalysis. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=4 mol at 345K => V~28L. APPLICATION: Batteries, synthesis. TOPIC: Biology - action potential. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 gene... |
TOPIC: Chemistry - covalent vs ionic bonding. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 294K => V~17L. APPLICATION: Batteries, synthesis. TOPIC: Biology - action potential. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=127680J. EXAMPLE: 7kg at 13m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - gradient descent. PROBLEM: 14*x+285=733. TRACE: Subtract 285 => 14*x=44... |
TOPIC: CS - SQL indexing. SPEC: Implement quicksort with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 56135 RPS prod. TOPIC: History/Econ - supply and demand. CONTEXT: 1662, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. C... |
TOPIC: Math - Fourier transform. PROBLEM: 8*x+235=432. TRACE: Subtract 235 => 8*x=197. Divide 8 => x=24.6250. VERIFY: 8*24.6250+235=432. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - TCP vs UDP. SPEC: Implement quicksort with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: emp... |
TOPIC: Chemistry - ideal gas law. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 379K => V~27L. APPLICATION: Batteries, synthesis. TOPIC: Biology - cellular respiration. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20... |
TOPIC: CS - hash tables. SPEC: Implement big-O with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 74097 RPS prod. TOPIC: History/Econ - Industrial Revolution. CONTEXT: 1923, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CA... |
TOPIC: Physics - entropy. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=40512J. EXAMPLE: 7kg at 11m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - gradient descent. PROBLEM: 5*x+422=518. TRACE: Subtract 422 => 5*x=96. Divide 5 => x=1... |
TOPIC: Math - Fourier transform. PROBLEM: 14*x+106=403. TRACE: Subtract 106 => 14*x=297. Divide 14 => x=21.2143. VERIFY: 14*21.2143+106=403. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - transformer attention. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) sp... |
TOPIC: Math - prime factorization. PROBLEM: 2*x+489=832. TRACE: Subtract 489 => 2*x=343. Divide 2 => x=171.5000. VERIFY: 2*171.5000+489=832. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - public key crypto. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) spa... |
TOPIC: Math - central limit theorem. PROBLEM: 10*x+231=264. TRACE: Subtract 231 => 10*x=33. Divide 10 => x=3.3000. VERIFY: 10*3.3000+231=264. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - SQL indexing. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. ... |
TOPIC: Physics - wave-particle duality. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=3450J. EXAMPLE: 3kg at 12m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - prime factorization. PROBLEM: 7*x+23=173. TRACE: Subtract 23 => 7*x=150. ... |
TOPIC: CS - big-O. SPEC: Implement SQL indexing with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 1545 RPS prod. TOPIC: History/Econ - El Nino. CONTEXT: 1235, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC: P=7086 at ... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=71577J. EXAMPLE: 4kg at 11m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - transformer attention. SPEC: Implement Dijkstra with invariant. CODE: def solve(ar... |
TOPIC: Physics - Bernoulli principle. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=41470J. EXAMPLE: 1kg at 3m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - eigenvalues. PROBLEM: 11*x+319=449. TRACE: Subtract 319 => 11*x=130. Divide... |
TOPIC: Math - Bayes theorem. PROBLEM: 2*x+268=593. TRACE: Subtract 268 => 2*x=325. Divide 2 => x=162.5000. VERIFY: 2*162.5000+268=593. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - SQL indexing. SPEC: Implement transformer attention with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) spac... |
TOPIC: Chemistry - covalent vs ionic bonding. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 361K => V~39L. APPLICATION: Batteries, synthesis. TOPIC: Biology - photosynthesis. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 b... |
TOPIC: Chemistry - redox reactions. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 300K => V~18L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000... |
TOPIC: Chemistry - redox reactions. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 325K => V~13L. APPLICATION: Batteries, synthesis. TOPIC: Biology - Mendelian inheritance. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ... |
TOPIC: Physics - wave-particle duality. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=9088J. EXAMPLE: 6kg at 20m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - central limit theorem. PROBLEM: 9*x+284=316. TRACE: Subtract 284 => 9*x=3... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=2 mol at 283K => V~37L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 ge... |
TOPIC: CS - quicksort. SPEC: Implement big-O with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 24336 RPS prod. TOPIC: History/Econ - Industrial Revolution. CONTEXT: 1879, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC... |
TOPIC: Physics - relativity. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=21593J. EXAMPLE: 4kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - prime factorization. PROBLEM: 3*x+151=294. TRACE: Subtract 151 => 3*x=143. Divide 3 ... |
TOPIC: Physics - wave-particle duality. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=30338J. EXAMPLE: 10kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - big-O. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): main... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=77805J. EXAMPLE: 3kg at 2m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - TCP vs UDP. SPEC: Implement SQL indexing with invariant. CODE: def solv... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=16308J. EXAMPLE: 4kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - transformer attention. SPEC: Implement quicksort with invariant. CODE: def... |
TOPIC: Math - gradient descent. PROBLEM: 12*x+91=112. TRACE: Subtract 91 => 12*x=21. Divide 12 => x=1.7500. VERIFY: 12*1.7500+91=112. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - big-O. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, sin... |
TOPIC: CS - public key crypto. SPEC: Implement SQL indexing with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 85143 RPS prod. TOPIC: History/Econ - compound interest. CONTEXT: 1319, competition + tech shift. MODEL: Forcing + feedback -> equili... |
TOPIC: Math - gradient descent. PROBLEM: 14*x+395=822. TRACE: Subtract 395 => 14*x=427. Divide 14 => x=30.5000. VERIFY: 14*30.5000+395=822. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - Dijkstra. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: e... |
TOPIC: Math - chain rule. PROBLEM: 5*x+384=690. TRACE: Subtract 384 => 5*x=306. Divide 5 => x=61.2000. VERIFY: 5*61.2000+384=690. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - TCP vs UDP. SPEC: Implement transformer attention with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE... |
TOPIC: Chemistry - catalysis. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 328K => V~23L. APPLICATION: Batteries, synthesis. TOPIC: Biology - immune memory. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes, ... |
TOPIC: Math - central limit theorem. PROBLEM: 9*x+43=97. TRACE: Subtract 43 => 9*x=54. Divide 9 => x=6.0000. VERIFY: 9*6.0000+43=97. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - SQL indexing. SPEC: Implement SQL indexing with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: em... |
TOPIC: CS - hash tables. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 15555 RPS prod. TOPIC: History/Econ - fall of Roman Republic. CONTEXT: 1419, competition + tech shift. MODEL: Forcing + feedback -> equilibrium... |
TOPIC: Math - chain rule. PROBLEM: 15*x+460=554. TRACE: Subtract 460 => 15*x=94. Divide 15 => x=6.2667. VERIFY: 15*6.2667+460=554. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - transformer attention. SPEC: Implement big-O with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: em... |
TOPIC: Physics - relativity. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=177773J. EXAMPLE: 8kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - TCP vs UDP. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintai... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=75012J. EXAMPLE: 10kg at 13m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - Dijkstra. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maint... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 375K => V~13L. APPLICATION: Batteries, synthesis. TOPIC: Biology - CRISPR. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes, muta... |
TOPIC: CS - quicksort. SPEC: Implement quicksort with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 54927 RPS prod. TOPIC: History/Econ - Treaty of Versailles. CONTEXT: 1865, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. C... |
TOPIC: CS - big-O. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 25000 RPS prod. TOPIC: History/Econ - Nash equilibrium. CONTEXT: 1837, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC: P=34... |
TOPIC: Chemistry - ideal gas law. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=2 mol at 306K => V~14L. APPLICATION: Batteries, synthesis. TOPIC: Biology - cellular respiration. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=4 mol at 351K => V~19L. APPLICATION: Batteries, synthesis. TOPIC: Biology - Mendelian inheritance. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=42660J. EXAMPLE: 7kg at 4m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - prime factorization. PROBLEM: 7*x+237=417. TRACE: Subtract 237 => 7*x... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 377K => V~29L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 ge... |
TOPIC: Chemistry - pH buffers. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=4 mol at 365K => V~34L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 gene... |
TOPIC: CS - TCP vs UDP. SPEC: Implement public key crypto with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 25645 RPS prod. TOPIC: History/Econ - Nash equilibrium. CONTEXT: 1274, competition + tech shift. MODEL: Forcing + feedback -> equilibri... |
TOPIC: Physics - entropy. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=972J. EXAMPLE: 8kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - quicksort. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=tar... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=1 mol at 400K => V~33L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 ge... |
TOPIC: CS - quicksort. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 48879 RPS prod. TOPIC: History/Econ - El Nino. CONTEXT: 1525, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CALC: P=7016 ... |
TOPIC: Math - Fourier transform. PROBLEM: 8*x+361=684. TRACE: Subtract 361 => 8*x=323. Divide 8 => x=40.3750. VERIFY: 8*40.3750+361=684. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - quicksort. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: em... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=26814J. EXAMPLE: 6kg at 12m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - central limit theorem. PROBLEM: 9*x+82=409. TRACE: Subtract 82 => 9*x=32... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=20628J. EXAMPLE: 6kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Bayes theorem. PROBLEM: 13*x+382=436. TRACE: Subtract 382 => 13*x=54. Divide 13 ... |
TOPIC: Chemistry - ideal gas law. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 308K => V~34L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 g... |
TOPIC: CS - transformer attention. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 83594 RPS prod. TOPIC: History/Econ - Nash equilibrium. CONTEXT: 1450, competition + tech shift. MODEL: Forcing + feedback -> equi... |
TOPIC: Chemistry - covalent vs ionic bonding. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=2 mol at 275K => V~32L. APPLICATION: Batteries, synthesis. TOPIC: Biology - immune memory. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp... |
TOPIC: Math - chain rule. PROBLEM: 3*x+190=554. TRACE: Subtract 190 => 3*x=364. Divide 3 => x=121.3333. VERIFY: 3*121.3333+190=554. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - public key crypto. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE:... |
TOPIC: Chemistry - covalent vs ionic bonding. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=5 mol at 340K => V~39L. APPLICATION: Batteries, synthesis. TOPIC: Biology - immune memory. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp... |
TOPIC: Chemistry - ideal gas law. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=3 mol at 285K => V~20L. APPLICATION: Batteries, synthesis. TOPIC: Biology - CRISPR. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 genes, mut... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=5280J. EXAMPLE: 10kg at 17m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Pythagorean theorem. PROBLEM: 10*x+12=452. TRACE: Subtract 12 => 10*... |
TOPIC: Math - Bayes theorem. PROBLEM: 7*x+315=747. TRACE: Subtract 315 => 7*x=432. Divide 7 => x=61.7143. VERIFY: 7*61.7143+315=747. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - TCP vs UDP. SPEC: Implement public key crypto with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE:... |
TOPIC: Chemistry - Le Chatelier. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=2 mol at 386K => V~40L. APPLICATION: Batteries, synthesis. TOPIC: Biology - DNA replication. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 ge... |
TOPIC: Physics - Bernoulli principle. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=27832J. EXAMPLE: 3kg at 15m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Fourier transform. PROBLEM: 6*x+98=382. TRACE: Subtract 98 => 6*x=284. Div... |
TOPIC: Chemistry - periodic trends. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=4 mol at 306K => V~29L. APPLICATION: Batteries, synthesis. TOPIC: Biology - cellular respiration. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~... |
TOPIC: Physics - Newton's laws. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=20224J. EXAMPLE: 9kg at 20m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - central limit theorem. PROBLEM: 13*x+64=380. TRACE: Subtract 64 => 13*x=316. Div... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=12640J. EXAMPLE: 10kg at 18m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - gradient descent. PROBLEM: 11*x+316=356. TRACE: Subtract 316 => 11*... |
TOPIC: Physics - entropy. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=81528J. EXAMPLE: 3kg at 10m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - transformer attention. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): ... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=80938J. EXAMPLE: 4kg at 8m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - big-O. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(arr): mai... |
TOPIC: Math - prime factorization. PROBLEM: 13*x+491=912. TRACE: Subtract 491 => 13*x=421. Divide 13 => x=32.3846. VERIFY: 13*32.3846+491=912. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - TCP vs UDP. SPEC: Implement Dijkstra with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE... |
TOPIC: Physics - black hole thermodynamics. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=69795J. EXAMPLE: 10kg at 12m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - big-O. SPEC: Implement transformer attention with invariant. CODE: de... |
TOPIC: CS - hash tables. SPEC: Implement big-O with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 45247 RPS prod. TOPIC: History/Econ - Industrial Revolution. CONTEXT: 1861, competition + tech shift. MODEL: Forcing + feedback -> equilibrium. CA... |
TOPIC: Physics - quantum superposition. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=149988J. EXAMPLE: 9kg at 9m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: Math - Fourier transform. PROBLEM: 6*x+348=779. TRACE: Subtract 348 => 6*x=431.... |
TOPIC: Chemistry - polymerization. MECHANISM: Valence electrons achieve octet via sharing/transfer. CALC: PV=nRT with n=4 mol at 335K => V~34L. APPLICATION: Batteries, synthesis. TOPIC: Biology - immune memory. PROCESS: Signal binds -> ATP 30.5 kJ/mol drives change -> product released. QUANT: Genome 3.2e9 bp, ~20000 ge... |
TOPIC: Physics - electromagnetic induction. DEF: Fundamental law from symmetry/conservation. EXPLANATION: System minimizes action, energy E=35371J. EXAMPLE: 7kg at 11m/s => KE=0.5*m*v^2. IMPLICATION: Used in engineering and astrophysics. TOPIC: CS - Dijkstra. SPEC: Implement TCP vs UDP with invariant. CODE: def solve(a... |
TOPIC: Math - central limit theorem. PROBLEM: 6*x+439=810. TRACE: Subtract 439 => 6*x=371. Divide 6 => x=61.8333. VERIFY: 6*61.8333+439=810. GENERAL: ax+b=c => x=(c-b)/a. TOPIC: CS - SQL indexing. SPEC: Implement hash tables with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. E... |
TOPIC: CS - public key crypto. SPEC: Implement SQL indexing with invariant. CODE: def solve(arr): maintain low<=target<=high, O(n log n) time O(n) space. EDGE: empty, single, dupes. USE: 98842 RPS prod. TOPIC: History/Econ - compound interest. CONTEXT: 1950, competition + tech shift. MODEL: Forcing + feedback -> equili... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.