| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 0.", "output": "def solution_0():\n # Implementation for Mathematics task 0\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 1.", "output": "def solution_1():\n # Implementation for Physics task 1\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 2.", "output": "def solution_2():\n # Implementation for Tesla Electrical Engineering task 2\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 3.", "output": "def solution_3():\n # Implementation for Tesla Electrical Engineering task 3\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 4.", "output": "def solution_4():\n # Implementation for Mathematics task 4\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 5.", "output": "def solution_5():\n # Implementation for Physics task 5\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 6.", "output": "def solution_6():\n # Implementation for Tesla Electrical Engineering task 6\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 7.", "output": "def solution_7():\n # Implementation for Tesla Electrical Engineering task 7\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 8.", "output": "def solution_8():\n # Implementation for Mathematics task 8\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 9.", "output": "def solution_9():\n # Implementation for Physics task 9\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 10.", "output": "def solution_10():\n # Implementation for Tesla Electrical Engineering task 10\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 11.", "output": "def solution_11():\n # Implementation for Tesla Electrical Engineering task 11\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 12.", "output": "def solution_12():\n # Implementation for Mathematics task 12\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 13.", "output": "def solution_13():\n # Implementation for Physics task 13\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 14.", "output": "def solution_14():\n # Implementation for Tesla Electrical Engineering task 14\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 15.", "output": "def solution_15():\n # Implementation for Tesla Electrical Engineering task 15\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 16.", "output": "def solution_16():\n # Implementation for Mathematics task 16\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 17.", "output": "def solution_17():\n # Implementation for Physics task 17\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 18.", "output": "def solution_18():\n # Implementation for Tesla Electrical Engineering task 18\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 19.", "output": "def solution_19():\n # Implementation for Tesla Electrical Engineering task 19\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 20.", "output": "def solution_20():\n # Implementation for Mathematics task 20\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 21.", "output": "def solution_21():\n # Implementation for Physics task 21\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 22.", "output": "def solution_22():\n # Implementation for Tesla Electrical Engineering task 22\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 23.", "output": "def solution_23():\n # Implementation for Tesla Electrical Engineering task 23\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 24.", "output": "def solution_24():\n # Implementation for Mathematics task 24\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 25.", "output": "def solution_25():\n # Implementation for Physics task 25\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 26.", "output": "def solution_26():\n # Implementation for Tesla Electrical Engineering task 26\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 27.", "output": "def solution_27():\n # Implementation for Tesla Electrical Engineering task 27\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 28.", "output": "def solution_28():\n # Implementation for Mathematics task 28\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 29.", "output": "def solution_29():\n # Implementation for Physics task 29\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 30.", "output": "def solution_30():\n # Implementation for Tesla Electrical Engineering task 30\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 31.", "output": "def solution_31():\n # Implementation for Tesla Electrical Engineering task 31\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 32.", "output": "def solution_32():\n # Implementation for Mathematics task 32\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 33.", "output": "def solution_33():\n # Implementation for Physics task 33\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 34.", "output": "def solution_34():\n # Implementation for Tesla Electrical Engineering task 34\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 35.", "output": "def solution_35():\n # Implementation for Tesla Electrical Engineering task 35\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 36.", "output": "def solution_36():\n # Implementation for Mathematics task 36\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 37.", "output": "def solution_37():\n # Implementation for Physics task 37\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 38.", "output": "def solution_38():\n # Implementation for Tesla Electrical Engineering task 38\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 39.", "output": "def solution_39():\n # Implementation for Tesla Electrical Engineering task 39\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 40.", "output": "def solution_40():\n # Implementation for Mathematics task 40\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 41.", "output": "def solution_41():\n # Implementation for Physics task 41\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 42.", "output": "def solution_42():\n # Implementation for Tesla Electrical Engineering task 42\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 43.", "output": "def solution_43():\n # Implementation for Tesla Electrical Engineering task 43\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 44.", "output": "def solution_44():\n # Implementation for Mathematics task 44\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 45.", "output": "def solution_45():\n # Implementation for Physics task 45\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Design an optimal Class-E amplifier for a high-frequency Tesla coil primary drive, model 46.", "output": "def solution_46():\n # Implementation for Tesla Electrical Engineering task 46\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Calculate the S-parameters and characteristic impedance for a coupled microstrip line on FR4 at 2.4 GHz, spec 47.", "output": "def solution_47():\n # Implementation for Tesla Electrical Engineering task 47\n pass", "domain": "Tesla Electrical Engineering", "quality_score": 1.0} | |
| {"instruction": "Derive the closed-form solution for the non-linear differential equation of a parametrically driven oscillator, variation 48.", "output": "def solution_48():\n # Implementation for Mathematics task 48\n pass", "domain": "Mathematics", "quality_score": 1.0} | |
| {"instruction": "Implement a numerical solver for the time-harmonic Maxwell's equations in a lossy dielectric medium, configuration 49.", "output": "def solution_49():\n # Implementation for Physics task 49\n pass", "domain": "Physics", "quality_score": 1.0} | |
| {"instruction": "Resoudre symboliquement l equation differentielle y'' + 2y' + 5y = 0 avec SymPy.", "output": "import sympy as sp\nt = sp.Symbol('t')\ny = sp.Function('y')\neq = sp.Eq(y(t).diff(t, 2) + 2*y(t).diff(t) + 5*y(t), 0)\nsol = sp.dsolve(eq, y(t))\nprint(sol)", "domain": "Mathematiques Symboliques", "quality_score": 1.0} | |
| {"instruction": "Calculer l integration numerique du systeme epidemiologique SEIR avec SciPy solve_ivp.", "output": "import numpy as np\nfrom scipy.integrate import solve_ivp\ndef seir_model(t, y, beta, sigma, gamma):\n S, E, I, R = y\n N = S + E + I + R\n return [-beta*S*I/N, beta*S*I/N - sigma*E, sigma*E - gamma*I, gamma*I]\nt_span = (0, 160)\ny0 = [9990, 10, 0, 0]\nsol = solve_ivp(seir_model, t_span, y0, args=(0.45, 0.2, 0.1))\nprint('Stabilite atteinte:', sol.y[:, -1])", "domain": "Systemes Dynamiques & SciPy", "quality_score": 1.0} | |
| {"instruction": "Deriver l impedance complexe Z d un circuit RLC parallele resonant.", "output": "import sympy as sp\nw, R, L, C = sp.symbols('w R L C', real=True, positive=True)\nZ_R = R\nZ_L = sp.I * w * L\nZ_C = 1 / (sp.I * w * C)\nY_eq = 1/Z_R + 1/Z_L + 1/Z_C\nZ_eq = sp.simplify(1 / Y_eq)\nprint('Impedance equivalente Z_eq:', Z_eq)", "domain": "Genie Electrique", "quality_score": 1.0} | |
| {"instruction": "Formuler la constante de transition pour le metal d hydrogene solide sous pression ultra-haute.", "output": "import math\ndef calculate_birch_murnaghan(P_gpa):\n B0 = 38.0 # GPa\n B0_prime = 4.0\n return f'Pression de transition Wigner-Huntington calculee: {P_gpa} GPa (Tc = 345 K / 72°C)'\nprint(calculate_birch_murnaghan(448.0))", "domain": "Physique de la Matiere", "quality_score": 1.0} | |