yoshitomo-matsubara commited on
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dbeba3e
1 Parent(s): d1b0073

Fix eq info

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  1. supp_info.json +1 -1
  2. true_eq/feynman-i.6.20b.pkl +0 -0
supp_info.json CHANGED
@@ -1 +1 @@
1
- {"feynman-i.6.20": {"dataset_class_key": "FeynmanICh6Eq20", "sympy_eq_str": "sqrt(2)*exp(-x0**2/(2*x1**2))/(2*sqrt(pi)*x1)", "sympy_eq_srepr": "Mul(Rational(1, 2), Pow(Integer(2), Rational(1, 2)), Pow(pi, Rational(-1, 2)), Pow(Symbol('x1', real=True), Integer(-1)), exp(Mul(Integer(-1), Rational(1, 2), Pow(Symbol('x0', real=True), Integer(2)), Pow(Symbol('x1', real=True), Integer(-2)))))", "symbols": ["$f$", "$\\theta$", "$\\sigma$"], "symbols_descs": ["Probability density function", "Position", "Standard deviation"], "si-derived_units": ["$1$", "$1$", "$1$"], "si_units": ["$1$", "$1$", "$1$"], "properties": ["V, F, P", "V, F", "V, F, P"]}, "feynman-i.6.20a": {"dataset_class_key": "FeynmanICh6Eq20a", "sympy_eq_str": "sqrt(2)*exp(-x0**2/2)/(2*sqrt(pi))", "sympy_eq_srepr": "Mul(Rational(1, 2), Pow(Integer(2), Rational(1, 2)), Pow(pi, Rational(-1, 2)), exp(Mul(Integer(-1), Rational(1, 2), Pow(Symbol('x0', real=True), Integer(2)))))", "symbols": ["$f$", "$\\theta$"], "symbols_descs": ["Probability density function", "Position"], "si-derived_units": ["$1$", "$1$"], "si_units": ["$1$", "$1$"], "properties": ["V, F, P", "V, F"]}, "feynman-i.6.20b": {"dataset_class_key": "FeynmanICh6Eq20b", "sympy_eq_str": "sqrt(2)*exp(-(x0 - x1)**2/(2*x2**2))/(2*sqrt(pi))", "sympy_eq_srepr": "Mul(Rational(1, 2), Pow(Integer(2), Rational(1, 2)), Pow(pi, Rational(-1, 2)), exp(Mul(Integer(-1), Rational(1, 2), Pow(Symbol('x2', real=True), Integer(-2)), Pow(Add(Symbol('x0', real=True), Mul(Integer(-1), Symbol('x1', real=True))), Integer(2)))))", "symbols": ["$f$", "$\\theta$", "$\\theta_1$", "$\\sigma$"], "symbols_descs": ["Probability density function", "Position", "Position", "Standard deviation"], "si-derived_units": ["$1$", "$1$", "$1$", "$1$"], "si_units": ["$1$", "$1$", "$1$", "$1$"], "properties": ["V, F, P", "V, F", "V, F", "V, F, P"]}, "feynman-i.9.18": {"dataset_class_key": "FeynmanICh9Eq18", "sympy_eq_str": "6.6743e-11*x0*x1/((x2 - x3)**2 + (x4 - x5)**2 + (x6 - x7)**2)", "sympy_eq_srepr": "Mul(Float('6.6742999999999994e-11', precision=53), Symbol('x0', real=True), Symbol('x1', real=True), Pow(Add(Pow(Add(Symbol('x2', real=True), Mul(Integer(-1), Symbol('x3', real=True))), Integer(2)), Pow(Add(Symbol('x4', real=True), Mul(Integer(-1), Symbol('x5', real=True))), Integer(2)), Pow(Add(Symbol('x6', real=True), Mul(Integer(-1), Symbol('x7', real=True))), Integer(2))), Integer(-1)))", "symbols": ["$F$", "$G$", "$m_1$", "$m_2$", "$x_2$", "$x_1$", "$y_2$", "$y_1$", "$z_2$", "$z_1$"], "symbols_descs": ["Force of gravity", "Gravitational constant", "Mass", "Mass", "Position", "Position", "Position", "Position", "Position", "Position"], "si-derived_units": ["$N$", "$m^3 \\cdot kg^{-1} \\cdot s^{-2}$", "$kg$", "$kg$", "$m$", "$m$", "$m$", "$m$", "$m$", "$m$"], "si_units": ["$kg \\cdot m \\cdot s^{-2}$", "$kg^{-1} \\cdot m^3 \\cdot s^{-2}$", "$kg$", "$kg$", "$m$", "$m$", "$m$", "$m$", "$m$", "$m$"], "properties": ["V, F, P", "C, F, P", "V, F, P", "V, F, P", "V, F", "V, F", "V, F", "V, F", "V, F", "V, F"]}, "feynman-i.15.3t": {"dataset_class_key": "FeynmanICh15Eq3t", "sympy_eq_str": "(x0 - 1.11265005605362e-17*x1*x2)/sqrt(1 - 1.11265005605362e-17*x1**2)", "sympy_eq_srepr": "Mul(Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x1', real=True), Integer(2)))), Rational(-1, 2)), Add(Symbol('x0', real=True), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Symbol('x1', real=True), Symbol('x2', real=True))))", "symbols": ["$t_1$", "$t$", "$u$", "$x$", "$c$"], "symbols_descs": ["Time", "Time", "Velocity", "Position", "Speed of light"], "si-derived_units": ["$s$", "$s$", "$m/s$", "$m$", "$m/s$"], "si_units": ["$s$", "$s$", "$m \\cdot s^{-1}$", "$m$", "$m \\cdot s^{-1}$"], "properties": ["V, F", "V, F, NN", "V, F", "V, F, P", "C, F, P"]}, "feynman-i.15.3x": {"dataset_class_key": "FeynmanICh15Eq3x", "sympy_eq_str": "(x0 - x1*x2)/sqrt(1 - 1.11265005605362e-17*x1**2)", "sympy_eq_srepr": "Mul(Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x1', real=True), Integer(2)))), Rational(-1, 2)), Add(Symbol('x0', real=True), Mul(Integer(-1), Symbol('x1', real=True), Symbol('x2', real=True))))", "symbols": ["$x_1$", "$x$", "$u$", "$t$", "$c$"], "symbols_descs": ["Position", "Position", "Velocity", "Time", "Speed of light"], "si-derived_units": ["$m$", "$m$", "$m/s$", "$s$", "$m/s$"], "si_units": ["$m$", "$m$", "$m \\cdot s^{-1}$", "$s$", "$m \\cdot s^{-1}$"], "properties": ["V, F", "V, F", "V, F", "V, F", "C, F, P"]}, "feynman-i.29.16": {"dataset_class_key": "FeynmanICh29Eq16", "sympy_eq_str": "sqrt(x0**2 + 2*x0*x1*cos(x2 - x3) + x1**2)", "sympy_eq_srepr": "Pow(Add(Pow(Symbol('x0', real=True), Integer(2)), Mul(Integer(2), Symbol('x0', real=True), Symbol('x1', real=True), cos(Add(Symbol('x2', real=True), Mul(Integer(-1), Symbol('x3', real=True))))), Pow(Symbol('x1', real=True), Integer(2))), Rational(1, 2))", "symbols": ["$x$", "$x_1$", "$x_2$", "$\\theta_1$", "$\\theta_2$"], "symbols_descs": ["Wavelength", "Wavelength", "Wavelength", "Angle", "Angle"], "si-derived_units": ["$m$", "$m$", "$m$", "$rad$", "$rad$"], "si_units": ["$m$", "$m$", "$m$", "$1$", "$1$"], "properties": ["V, F, P", "V, F, P", "V, F, P", "V, F, NN", "V, F, NN"]}, "feynman-i.30.3": {"dataset_class_key": "FeynmanICh30Eq3", "sympy_eq_str": "x0*sin(x1*x2/2)**2/sin(x2/2)**2", "sympy_eq_srepr": "Mul(Symbol('x0', real=True), Pow(sin(Mul(Rational(1, 2), Symbol('x2', real=True))), Integer(-2)), Pow(sin(Mul(Rational(1, 2), Symbol('x1', real=True), Symbol('x2', real=True))), Integer(2)))", "symbols": ["$I$", "$I_0$", "$n$", "$\\theta$"], "symbols_descs": ["Amplitude of combined wave", "Amplitude of wave", "Number of waves", "Phase difference"], "si-derived_units": ["$1$", "$1$", "$1$", "$rad$"], "si_units": ["$1$", "$1$", "$1$", "$1$"], "properties": ["V, F, P", "V, F, P", "V, I, P", "V, F"]}, "feynman-i.32.17": {"dataset_class_key": "FeynmanICh32Eq17", "sympy_eq_str": "0.00353914989750933*pi*x0**2*x1**2*x2**4/(x2**2 - x3**2)**2", "sympy_eq_srepr": "Mul(Float('0.003539149897509333', precision=53), pi, Pow(Symbol('x0', real=True), Integer(2)), Pow(Symbol('x1', real=True), Integer(2)), Pow(Symbol('x2', real=True), Integer(4)), Pow(Add(Pow(Symbol('x2', real=True), Integer(2)), Mul(Integer(-1), Pow(Symbol('x3', real=True), Integer(2)))), Integer(-2)))", "symbols": ["$P$", "$\\epsilon$", "$c$", "$E$", "$r$", "$\\omega$", "$\\omega_0$"], "symbols_descs": ["Energy", "Vacuum permittivity", "Speed of light", "Magnitude of electric field", "Radius", "Frequency of electromagnetic waves", "Frequency of electromagnetic waves"], "si-derived_units": ["$J$", "$F/m$", "$m/s$", "$m$", "$m$", "$rad/s$", "$rad/s$"], "si_units": ["$kg \\cdot m^2 \\cdot s^{-2}$", "$kg^{-1} \\cdot m^{-3} \\cdot s^4 \\cdot A^2$", "$m \\cdot s^{-1}$", "$m$", "$m$", "$s^{-1}$", "$s^{-1}$"], "properties": ["V, F, P", "C, F, P", "C, F, P", "V, F", "V, F, P", "V, F", "V, F"]}, "feynman-i.34.14": {"dataset_class_key": "FeynmanICh34Eq14", "sympy_eq_str": "x1*(3.33564095198152e-9*x0 + 1)/sqrt(1 - 1.11265005605362e-17*x0**2)", "sympy_eq_srepr": "Mul(Symbol('x1', real=True), Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x0', real=True), Integer(2)))), Rational(-1, 2)), Add(Mul(Float('3.3356409519815204e-9', precision=53), Symbol('x0', real=True)), Integer(1)))", "symbols": ["$\\omega$", "$v$", "$c$", "$\\omega_0$"], "symbols_descs": ["Frequency of electromagnetic waves", "Velocity", "Speed of light", "Frequency of electromagnetic waves"], "si-derived_units": ["$rad/s$", "$m/s$", "$m/s$", "$rad/s$"], "si_units": ["$s^{-1}$", "$m \\cdot s^{-1}$", "$m \\cdot s^{-1}$", "$s^{-1}$"], "properties": ["V, F, P", "V, F", "C, F, P", "V, F, P"]}, "feynman-i.37.4": {"dataset_class_key": "FeynmanICh37Eq4", "sympy_eq_str": "x0 + x1 + 2*sqrt(x0*x1)*cos(x2)", "sympy_eq_srepr": "Add(Symbol('x0', real=True), Symbol('x1', real=True), Mul(Integer(2), Pow(Mul(Symbol('x0', real=True), Symbol('x1', real=True)), Rational(1, 2)), cos(Symbol('x2', real=True))))", "symbols": ["$I_{12}$", "$I_1$", "$I_2$", "$\\delta$"], "symbols_descs": ["Amplitude of wave", "Amplitude of wave", "Amplitude of wave", "Phase difference"], "si-derived_units": ["$m$", "$m$", "$m$", "$rad$"], "si_units": ["$m$", "$m$", "$m$", "$1$"], "properties": ["V, F, NN", "V, F, P", "V, F, P", "V, F, NN"]}, "feynman-i.39.22": {"dataset_class_key": "FeynmanICh39Eq22", "sympy_eq_str": "1.380649e-23*x0*x1/x2", "sympy_eq_srepr": "Mul(Float('1.3806490000000001e-23', precision=53), Symbol('x0', real=True), Symbol('x1', real=True), Pow(Symbol('x2', real=True), Integer(-1)))", "symbols": ["$P$", "$n$", "$k$", "$T$", "$V$"], "symbols_descs": ["Pressure", "Number of molecules", "Boltzmann constant", "Temperature", "Volume"], "si-derived_units": ["$Pa$", "$1$", "$J/K$", "$K$", "$m^3$"], "si_units": ["$kg \\cdot m^{-1} \\cdot s^{-2}$", "$1$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$", "$m^3$"], "properties": ["V, F, P", "V, I$\\star$, P", "C, F, P", "V, F, P", "V, F, P"]}, "feynman-i.40.1": {"dataset_class_key": "FeynmanICh40Eq1", "sympy_eq_str": "x0*exp(-7.10292768111229e+23*x1*x2/x3)", "sympy_eq_srepr": "Mul(Symbol('x0', real=True), exp(Mul(Integer(-1), Float('7.1029276811122876e+23', precision=53), Symbol('x1', real=True), Symbol('x2', real=True), Pow(Symbol('x3', real=True), Integer(-1)))))", "symbols": ["$n$", "$n_0$", "$m$", "$g$", "$x$", "$k$", "$T$"], "symbols_descs": ["Molecular density", "Molecular density", "Mass", "Gravitational acceleration", "Height", "Boltzmann constant", "Temperature"], "si-derived_units": ["$1/m^3$", "$1/m^3$", "$kg$", "$m/s^2$", "$m$", "$J/K$", "$K$"], "si_units": ["$m^{-3}$", "$m^{-3}$", "$kg$", "$m \\cdot s^{-2}$", "$m$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, F, P", "V, F, P", "V, F, P", "C, F, P", "V, F", "C, F, P", "V, F, P"]}, "feynman-i.41.16": {"dataset_class_key": "FeynmanICh41Eq16", "sympy_eq_str": "3.68620963570564e-51*x0**3/(pi**3*(exp(2.39959613196403e-11*x0/(pi*x1)) - 1))", "sympy_eq_srepr": "Mul(Float('3.6862096357056378e-51', precision=53), Pow(pi, Integer(-3)), Pow(Symbol('x0', real=True), Integer(3)), Pow(Add(exp(Mul(Float('2.3995961319640253e-11', precision=53), Pow(pi, Integer(-1)), Symbol('x0', real=True), Pow(Symbol('x1', real=True), Integer(-1)))), Integer(-1)), Integer(-1)))", "symbols": ["$L_\\text{rad}$", "$h$", "$\\omega$", "$c$", "$k$", "$T$"], "symbols_descs": ["Radiation per frequency", "Planck constant", "Frequency of electromagnetic wave", "Speed of light", "Boltzmann constant", "Temperature"], "si-derived_units": ["$J/m^2$", "$J \\cdot s$", "$1/s$", "$m/s$", "$J/K$", "$K$"], "si_units": ["$kg \\cdot s^{-2}$", "$kg \\cdot m^2 \\cdot s^{-1}$", "$s^{-1}$", "$m \\cdot s^{-1}$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, F, P", "C, F, P", "V, F, P", "C, F, P", "C, F, P", "V, F, P"]}, "feynman-i.44.4": {"dataset_class_key": "FeynmanICh44Eq4", "sympy_eq_str": "1.380649e-23*x0*x1*log(x2/x3)", "sympy_eq_srepr": "Mul(Float('1.3806490000000001e-23', precision=53), Symbol('x0', real=True), Symbol('x1', real=True), log(Mul(Symbol('x2', real=True), Pow(Symbol('x3', real=True), Integer(-1)))))", "symbols": ["$Q$", "$n$", "$k$", "$T$", "$V_2$", "$V_1$"], "symbols_descs": ["Energy", "Number of molecules", "Boltzmann constant", "Temperature", "Volume", "Volume"], "si-derived_units": ["$J$", "$1$", "$J/K$", "$K$", "$m^3$", "$m^3$"], "si_units": ["$kg \\cdot m^2 \\cdot s^{-2}$", "$1$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$", "$m^3$", "$m^3$"], "properties": ["V, F", "V, I$\\star$, P", "C, F, P", "V, F, P", "V, F, P", "V, F, P"]}, "feynman-i.50.26": {"dataset_class_key": "FeynmanICh50Eq26", "sympy_eq_str": "x0*(x3*cos(x1*x2)**2 + cos(x1*x2))", "sympy_eq_srepr": "Mul(Symbol('x0', real=True), Add(Mul(Symbol('x3', real=True), Pow(cos(Mul(Symbol('x1', real=True), Symbol('x2', real=True))), Integer(2))), cos(Mul(Symbol('x1', real=True), Symbol('x2', real=True)))))", "symbols": ["$x$", "$K$", "$\\omega$", "$t$", "$\\epsilon$"], "symbols_descs": ["Amplitude", "Amplitude", "Angular velocity", "Time", "Variable"], "si-derived_units": ["$1$", "$1$", "$rad/s$", "$s$", "$1$"], "si_units": ["$1$", "$1$", "$s^{-1}$", "$s$", "$1$"], "properties": ["V, F", "V, F, P", "V, F", "V, F, NN", "V, F"]}, "feynman-ii.6.15a": {"dataset_class_key": "FeynmanIICh6Eq15a", "sympy_eq_str": "84707476846.623*x0*x1*sqrt(x3**2 + x4**2)/(pi*x2**5)", "sympy_eq_srepr": "Mul(Float('84707476846.623001', precision=53), Pow(pi, Integer(-1)), Symbol('x0', real=True), Symbol('x1', real=True), Pow(Symbol('x2', real=True), Integer(-5)), Pow(Add(Pow(Symbol('x3', real=True), Integer(2)), Pow(Symbol('x4', real=True), Integer(2))), Rational(1, 2)))", "symbols": ["$E$", "$p$", "$\\epsilon$", "$z$", "$r$", "$x$", "$y$"], "symbols_descs": ["Electric field", "Electric dipole moment", "Vacuum permittivity", "Position", "Distance", "Position", "Position"], "si-derived_units": ["$V/m$", "$C \\cdot m$", "$F/m$", "$m$", "$m$", "$m$", "$m$"], "si_units": ["$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$m \\cdot s \\cdot A$", "$kg^{-1} \\cdot m^{-3} \\cdot s^4 \\cdot A^2$", "$m$", "$m$", "$m$", "$m$"], "properties": ["V, F", "V, F", "C, F, P", "V, F", "V, F, P", "V, F", "V, F"]}, "feynman-ii.6.15b": {"dataset_class_key": "FeynmanIICh6Eq15b", "sympy_eq_str": "84707476846.623*x0*sin(x1)*cos(x1)/(pi*x2**3)", "sympy_eq_srepr": "Mul(Float('84707476846.623001', precision=53), Pow(pi, Integer(-1)), Symbol('x0', real=True), Pow(Symbol('x2', real=True), Integer(-3)), sin(Symbol('x1', real=True)), cos(Symbol('x1', real=True)))", "symbols": ["$E$", "$p$", "$\\epsilon$", "$\\theta$", "$r$"], "symbols_descs": ["Electric field", "Electric dipole moment", "Vacuum permittivity", "Angle", "Distance"], "si-derived_units": ["$V/m$", "$C \\cdot m$", "$F/m$", "$rad$", "$m$"], "si_units": ["$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$m \\cdot s \\cdot A$", "$kg^{-1} \\cdot m^{-3} \\cdot s^4 \\cdot A^2$", "$1$", "$m$"], "properties": ["V, F", "V, F", "C, F, P", "V, F", "V, F, P"]}, "feynman-ii.11.17": {"dataset_class_key": "FeynmanIICh11Eq17", "sympy_eq_str": "x0*(7.24297051603992e+22*x1*x2*cos(x3)/x4 + 1)", "sympy_eq_srepr": "Mul(Symbol('x0', real=True), Add(Mul(Float('7.2429705160399199e+22', precision=53), Symbol('x1', real=True), Symbol('x2', real=True), Pow(Symbol('x4', real=True), Integer(-1)), cos(Symbol('x3', real=True))), Integer(1)))", "symbols": ["$n$", "$n_0$", "$p_0$", "$E$", "$\\theta$", "$k$", "$T$"], "symbols_descs": ["Number of polar molecules per angle per unit volume", "Number of molecules per unit volume", "Electric dipole moment", "Magnitude of electric field", "Angle", "Boltzmann constant", "Temperature"], "si-derived_units": ["$1/(m^3 \\cdot rad \\cdot sr)$", "$1/(m^3 \\cdot sr)$", "$C \\cdot m$", "$V/m$", "$rad$", "$J/K$", "$K$"], "si_units": ["$m^{-3}$", "$m^{-3}$", "$m \\cdot s \\cdot A$", "$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$1$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, F", "V, F, P", "V, F", "V, F", "V, F, NN", "C, F, P", "V, F, P"]}, "feynman-ii.11.20": {"dataset_class_key": "FeynmanIICh11Eq20", "sympy_eq_str": "2.41432350534664e+22*x0*x1**2*x2/x3", "sympy_eq_srepr": "Mul(Float('2.4143235053466398e+22', precision=53), Symbol('x0', real=True), Pow(Symbol('x1', real=True), Integer(2)), Symbol('x2', real=True), Pow(Symbol('x3', real=True), Integer(-1)))", "symbols": ["$P$", "$n_0$", "$p_0$", "$E$", "$k$", "$T$"], "symbols_descs": ["Polarizability", "Number of atom", "Electric dipole moment", "Magnitude of electric field", "Boltzmann constant", "Temperature"], "si-derived_units": ["$C/m^2$", "$1$", "$C \\cdot m$", "$V/m$", "$J/K$", "$K$"], "si_units": ["$m^{-2} \\cdot s \\cdot A$", "$1$", "$m \\cdot s \\cdot A$", "$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", 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