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- FeynmanEquations.csv +131 -0
- equations.jsonl +100 -0
- samples/I.10.7.npz +3 -0
- samples/I.11.19.npz +3 -0
- samples/I.12.1.npz +3 -0
- samples/I.12.11.npz +3 -0
- samples/I.12.2.npz +3 -0
- samples/I.12.4.npz +3 -0
- samples/I.12.5.npz +3 -0
- samples/I.13.12.npz +3 -0
- samples/I.13.4.npz +3 -0
- samples/I.14.3.npz +3 -0
- samples/I.14.4.npz +3 -0
- samples/I.15.1.npz +3 -0
- samples/I.15.3t.npz +3 -0
- samples/I.15.3x.npz +3 -0
- samples/I.16.6.npz +3 -0
- samples/I.18.12.npz +3 -0
- samples/I.18.14.npz +3 -0
- samples/I.18.4.npz +3 -0
- samples/I.24.6.npz +3 -0
- samples/I.25.13.npz +3 -0
- samples/I.26.2.npz +3 -0
- samples/I.27.6.npz +3 -0
- samples/I.29.16.npz +3 -0
- samples/I.29.4.npz +3 -0
- samples/I.30.3.npz +3 -0
- samples/I.30.5.npz +3 -0
- samples/I.32.17.npz +3 -0
- samples/I.32.5.npz +3 -0
- samples/I.34.1.npz +3 -0
- samples/I.34.14.npz +3 -0
- samples/I.34.27.npz +3 -0
- samples/I.34.8.npz +3 -0
- samples/I.37.4.npz +3 -0
- samples/I.38.12.npz +3 -0
- samples/I.39.1.npz +3 -0
- samples/I.39.11.npz +3 -0
- samples/I.39.22.npz +3 -0
- samples/I.40.1.npz +3 -0
- samples/I.41.16.npz +3 -0
- samples/I.43.16.npz +3 -0
- samples/I.43.31.npz +3 -0
- samples/I.43.43.npz +3 -0
- samples/I.44.4.npz +3 -0
- samples/I.47.23.npz +3 -0
- samples/I.48.2.npz +3 -0
- samples/I.50.26.npz +3 -0
- samples/I.6.2.npz +3 -0
- samples/I.6.2a.npz +3 -0
FeynmanEquations.csv
ADDED
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1 |
+
Filename,Number,Output,Formula,# variables,v1_name,v1_low,v1_high,v2_name,v2_low,v2_high,v3_name,v3_low,v3_high,v4_name,v4_low,v4_high,v5_name,v5_low,v5_high,v6_name,v6_low,v6_high,v7_name,v7_low,v7_high,v8_name,v8_low,v8_high,v9_name,v9_low,v9_high,v10_name,v10_low,v10_high
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2 |
+
I.6.2a,1,f,exp(-theta**2/2)/sqrt(2*pi),1,theta,1,3,,,,,,,,,,,,,,,,,,,,,,,,,,,
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3 |
+
I.6.2,2,f,exp(-(theta/sigma)**2/2)/(sqrt(2*pi)*sigma),2,sigma,1,3,theta,1,3,,,,,,,,,,,,,,,,,,,,,,,,
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4 |
+
I.6.2b,3,f,exp(-((theta-theta1)/sigma)**2/2)/(sqrt(2*pi)*sigma),3,sigma,1,3,theta,1,3,theta1,1,3,,,,,,,,,,,,,,,,,,,,,
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5 |
+
I.8.14,4,d,sqrt((x2-x1)**2+(y2-y1)**2),4,x1,1,5,x2,1,5,y1,1,5,y2,1,5,,,,,,,,,,,,,,,,,,
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6 |
+
I.9.18,5,F,G*m1*m2/((x2-x1)**2+(y2-y1)**2+(z2-z1)**2),9,m1,1,2,m2,1,2,G,1,2,x1,3,4,x2,1,2,y1,3,4,y2,1,2,z1,3,4,z2,1,2,,,
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7 |
+
I.10.7,6,m,m_0/sqrt(1-v**2/c**2),3,m_0,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,,,,,,,
|
8 |
+
I.11.19,7,A,x1*y1+x2*y2+x3*y3,6,x1,1,5,x2,1,5,x3,1,5,y1,1,5,y2,1,5,y3,1,5,,,,,,,,,,,,
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9 |
+
I.12.1,8,F,mu*Nn,2,mu,1,5,Nn,1,5,,,,,,,,,,,,,,,,,,,,,,,,
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10 |
+
I.12.2,10,F,q1*q2*r/(4*pi*epsilon*r**3),4,q1,1,5,q2,1,5,epsilon,1,5,r,1,5,,,,,,,,,,,,,,,,,,
|
11 |
+
I.12.4,11,Ef,q1*r/(4*pi*epsilon*r**3),3,q1,1,5,epsilon,1,5,r,1,5,,,,,,,,,,,,,,,,,,,,,
|
12 |
+
I.12.5,12,F,q2*Ef,2,q2,1,5,Ef,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
13 |
+
I.12.11,13,F,q*(Ef+B*v*sin(theta)),5,q,1,5,Ef,1,5,B,1,5,v,1,5,theta,1,5,,,,,,,,,,,,,,,
|
14 |
+
I.13.4,9,K,1/2*m*(v**2+u**2+w**2),4,m,1,5,v,1,5,u,1,5,w,1,5,,,,,,,,,,,,,,,,,,
|
15 |
+
I.13.12,14,U,G*m1*m2*(1/r2-1/r1),5,m1,1,5,m2,1,5,r1,1,5,r2,1,5,G,1,5,,,,,,,,,,,,,,,
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16 |
+
I.14.3,15,U,m*g*z,3,m,1,5,g,1,5,z,1,5,,,,,,,,,,,,,,,,,,,,,
|
17 |
+
I.14.4,16,U,1/2*k_spring*x**2,2,k_spring,1,5,x,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
18 |
+
I.15.3x,17,x1,(x-u*t)/sqrt(1-u**2/c**2),4,x,5,10,u,1,2,c,3,20,t,1,2,,,,,,,,,,,,,,,,,,
|
19 |
+
I.15.3t,18,t1,(t-u*x/c**2)/sqrt(1-u**2/c**2),4,x,1,5,c,3,10,u,1,2,t,1,5,,,,,,,,,,,,,,,,,,
|
20 |
+
I.15.1,19,p,m_0*v/sqrt(1-v**2/c**2),3,m_0,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,,,,,,,
|
21 |
+
I.16.6,20,v1,(u+v)/(1+u*v/c**2),3,c,1,5,v,1,5,u,1,5,,,,,,,,,,,,,,,,,,,,,
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22 |
+
I.18.4,21,r,(m1*r1+m2*r2)/(m1+m2),4,m1,1,5,m2,1,5,r1,1,5,r2,1,5,,,,,,,,,,,,,,,,,,
|
23 |
+
I.18.12,22,tau,r*F*sin(theta),3,r,1,5,F,1,5,theta,0,5,,,,,,,,,,,,,,,,,,,,,
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24 |
+
I.18.14,23,L,m*r*v*sin(theta),4,m,1,5,r,1,5,v,1,5,theta,1,5,,,,,,,,,,,,,,,,,,
|
25 |
+
I.24.6,24,E_n,1/2*m*(omega**2+omega_0**2)*1/2*x**2,4,m,1,3,omega,1,3,omega_0,1,3,x,1,3,,,,,,,,,,,,,,,,,,
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26 |
+
I.25.13,25,Volt,q/C,2,q,1,5,C,1,5,,,,,,,,,,,,,,,,,,,,,,,,
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27 |
+
I.26.2,26,theta1,arcsin(n*sin(theta2)),2,n,0,1,theta2,1,5,,,,,,,,,,,,,,,,,,,,,,,,
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28 |
+
I.27.6,27,foc,1/(1/d1+n/d2),3,d1,1,5,d2,1,5,n,1,5,,,,,,,,,,,,,,,,,,,,,
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29 |
+
I.29.4,28,k,omega/c,2,omega,1,10,c,1,10,,,,,,,,,,,,,,,,,,,,,,,,
|
30 |
+
I.29.16,29,x,sqrt(x1**2+x2**2-2*x1*x2*cos(theta1-theta2)),4,x1,1,5,x2,1,5,theta1,1,5,theta2,1,5,,,,,,,,,,,,,,,,,,
|
31 |
+
I.30.3,30,Int,Int_0*sin(n*theta/2)**2/sin(theta/2)**2,3,Int_0,1,5,theta,1,5,n,1,5,,,,,,,,,,,,,,,,,,,,,
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32 |
+
I.30.5,31,theta,arcsin(lambd/(n*d)),3,lambd,1,2,d,2,5,n,1,5,,,,,,,,,,,,,,,,,,,,,
|
33 |
+
I.32.5,32,Pwr,q**2*a**2/(6*pi*epsilon*c**3),4,q,1,5,a,1,5,epsilon,1,5,c,1,5,,,,,,,,,,,,,,,,,,
|
34 |
+
I.32.17,33,Pwr,(1/2*epsilon*c*Ef**2)*(8*pi*r**2/3)*(omega**4/(omega**2-omega_0**2)**2),6,epsilon,1,2,c,1,2,Ef,1,2,r,1,2,omega,1,2,omega_0,3,5,,,,,,,,,,,,
|
35 |
+
I.34.8,34,omega,q*v*B/p,4,q,1,5,v,1,5,B,1,5,p,1,5,,,,,,,,,,,,,,,,,,
|
36 |
+
I.34.1,35,omega,omega_0/(1-v/c),3,c,3,10,v,1,2,omega_0,1,5,,,,,,,,,,,,,,,,,,,,,
|
37 |
+
I.34.14,36,omega,(1+v/c)/sqrt(1-v**2/c**2)*omega_0,3,c,3,10,v,1,2,omega_0,1,5,,,,,,,,,,,,,,,,,,,,,
|
38 |
+
I.34.27,37,E_n,(h/(2*pi))*omega,2,omega,1,5,h,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
39 |
+
I.37.4,38,Int,I1+I2+2*sqrt(I1*I2)*cos(delta),3,I1,1,5,I2,1,5,delta,1,5,,,,,,,,,,,,,,,,,,,,,
|
40 |
+
I.38.12,39,r,4*pi*epsilon*(h/(2*pi))**2/(m*q**2),4,m,1,5,q,1,5,h,1,5,epsilon,1,5,,,,,,,,,,,,,,,,,,
|
41 |
+
I.39.1,40,E_n,3/2*pr*V,2,pr,1,5,V,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
42 |
+
I.39.11,41,E_n,1/(gamma-1)*pr*V,3,gamma,2,5,pr,1,5,V,1,5,,,,,,,,,,,,,,,,,,,,,
|
43 |
+
I.39.22,42,pr,n*kb*T/V,4,n,1,5,T,1,5,V,1,5,kb,1,5,,,,,,,,,,,,,,,,,,
|
44 |
+
I.40.1,43,n,n_0*exp(-m*g*x/(kb*T)),6,n_0,1,5,m,1,5,x,1,5,T,1,5,g,1,5,kb,1,5,,,,,,,,,,,,
|
45 |
+
I.41.16,44,L_rad,h/(2*pi)*omega**3/(pi**2*c**2*(exp((h/(2*pi))*omega/(kb*T))-1)),5,omega,1,5,T,1,5,h,1,5,kb,1,5,c,1,5,,,,,,,,,,,,,,,
|
46 |
+
I.43.16,45,v,mu_drift*q*Volt/d,4,mu_drift,1,5,q,1,5,Volt,1,5,d,1,5,,,,,,,,,,,,,,,,,,
|
47 |
+
I.43.31,46,D,mob*kb*T,3,mob,1,5,T,1,5,kb,1,5,,,,,,,,,,,,,,,,,,,,,
|
48 |
+
I.43.43,47,kappa,1/(gamma-1)*kb*v/A,4,gamma,2,5,kb,1,5,A,1,5,v,1,5,,,,,,,,,,,,,,,,,,
|
49 |
+
I.44.4,48,E_n,n*kb*T*ln(V2/V1),5,n,1,5,kb,1,5,T,1,5,V1,1,5,V2,1,5,,,,,,,,,,,,,,,
|
50 |
+
I.47.23,49,c,sqrt(gamma*pr/rho),3,gamma,1,5,pr,1,5,rho,1,5,,,,,,,,,,,,,,,,,,,,,
|
51 |
+
I.48.2,50,E_n,m*c**2/sqrt(1-v**2/c**2),3,m,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,,,,,,,
|
52 |
+
I.50.26,51,x,x1*(cos(omega*t)+alpha*cos(omega*t)**2),4,x1,1,3,omega,1,3,t,1,3,alpha,1,3,,,,,,,,,,,,,,,,,,
|
53 |
+
II.2.42,52,Pwr,kappa*(T2-T1)*A/d,5,kappa,1,5,T1,1,5,T2,1,5,A,1,5,d,1,5,,,,,,,,,,,,,,,
|
54 |
+
II.3.24,53,flux,Pwr/(4*pi*r**2),2,Pwr,1,5,r,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
55 |
+
II.4.23,54,Volt,q/(4*pi*epsilon*r),3,q,1,5,epsilon,1,5,r,1,5,,,,,,,,,,,,,,,,,,,,,
|
56 |
+
II.6.11,55,Volt,1/(4*pi*epsilon)*p_d*cos(theta)/r**2,4,epsilon,1,3,p_d,1,3,theta,1,3,r,1,3,,,,,,,,,,,,,,,,,,
|
57 |
+
II.6.15a,56,Ef,p_d/(4*pi*epsilon)*3*z/r**5*sqrt(x**2+y**2),6,epsilon,1,3,p_d,1,3,r,1,3,x,1,3,y,1,3,z,1,3,,,,,,,,,,,,
|
58 |
+
II.6.15b,57,Ef,p_d/(4*pi*epsilon)*3*cos(theta)*sin(theta)/r**3,4,epsilon,1,3,p_d,1,3,theta,1,3,r,1,3,,,,,,,,,,,,,,,,,,
|
59 |
+
II.8.7,58,E_n,3/5*q**2/(4*pi*epsilon*d),3,q,1,5,epsilon,1,5,d,1,5,,,,,,,,,,,,,,,,,,,,,
|
60 |
+
II.8.31,59,E_den,epsilon*Ef**2/2,2,epsilon,1,5,Ef,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
61 |
+
II.10.9,60,Ef,sigma_den/epsilon*1/(1+chi),3,sigma_den,1,5,epsilon,1,5,chi,1,5,,,,,,,,,,,,,,,,,,,,,
|
62 |
+
II.11.3,61,x,q*Ef/(m*(omega_0**2-omega**2)),5,q,1,3,Ef,1,3,m,1,3,omega_0,3,5,omega,1,2,,,,,,,,,,,,,,,
|
63 |
+
II.11.17,62,n,n_0*(1+p_d*Ef*cos(theta)/(kb*T)),6,n_0,1,3,kb,1,3,T,1,3,theta,1,3,p_d,1,3,Ef,1,3,,,,,,,,,,,,
|
64 |
+
II.11.20,63,Pol,n_rho*p_d**2*Ef/(3*kb*T),5,n_rho,1,5,p_d,1,5,Ef,1,5,kb,1,5,T,1,5,,,,,,,,,,,,,,,
|
65 |
+
II.11.27,64,Pol,n*alpha/(1-(n*alpha/3))*epsilon*Ef,4,n,0,1,alpha,0,1,epsilon,1,2,Ef,1,2,,,,,,,,,,,,,,,,,,
|
66 |
+
II.11.28,65,theta,1+n*alpha/(1-(n*alpha/3)),2,n,0,1,alpha,0,1,,,,,,,,,,,,,,,,,,,,,,,,
|
67 |
+
II.13.17,66,B,1/(4*pi*epsilon*c**2)*2*I/r,4,epsilon,1,5,c,1,5,I,1,5,r,1,5,,,,,,,,,,,,,,,,,,
|
68 |
+
II.13.23,67,rho_c,rho_c_0/sqrt(1-v**2/c**2),3,rho_c_0,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,,,,,,,
|
69 |
+
II.13.34,68,j,rho_c_0*v/sqrt(1-v**2/c**2),3,rho_c_0,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,,,,,,,
|
70 |
+
II.15.4,69,E_n,-mom*B*cos(theta),3,mom,1,5,B,1,5,theta,1,5,,,,,,,,,,,,,,,,,,,,,
|
71 |
+
II.15.5,70,E_n,-p_d*Ef*cos(theta),3,p_d,1,5,Ef,1,5,theta,1,5,,,,,,,,,,,,,,,,,,,,,
|
72 |
+
II.21.32,71,Volt,q/(4*pi*epsilon*r*(1-v/c)),5,q,1,5,epsilon,1,5,r,1,5,v,1,2,c,3,10,,,,,,,,,,,,,,,
|
73 |
+
II.24.17,72,k,sqrt(omega**2/c**2-pi**2/d**2),3,omega,4,6,c,1,2,d,2,4,,,,,,,,,,,,,,,,,,,,,
|
74 |
+
II.27.16,73,flux,epsilon*c*Ef**2,3,epsilon,1,5,c,1,5,Ef,1,5,,,,,,,,,,,,,,,,,,,,,
|
75 |
+
II.27.18,74,E_den,epsilon*Ef**2,2,epsilon,1,5,Ef,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
76 |
+
II.34.2a,75,I,q*v/(2*pi*r),3,q,1,5,v,1,5,r,1,5,,,,,,,,,,,,,,,,,,,,,
|
77 |
+
II.34.2,76,mom,q*v*r/2,3,q,1,5,v,1,5,r,1,5,,,,,,,,,,,,,,,,,,,,,
|
78 |
+
II.34.11,77,omega,g_*q*B/(2*m),4,g_,1,5,q,1,5,B,1,5,m,1,5,,,,,,,,,,,,,,,,,,
|
79 |
+
II.34.29a,78,mom,q*h/(4*pi*m),3,q,1,5,h,1,5,m,1,5,,,,,,,,,,,,,,,,,,,,,
|
80 |
+
II.34.29b,79,E_n,g_*mom*B*Jz/(h/(2*pi)),5,g_,1,5,h,1,5,Jz,1,5,mom,1,5,B,1,5,,,,,,,,,,,,,,,
|
81 |
+
II.35.18,80,n,n_0/(exp(mom*B/(kb*T))+exp(-mom*B/(kb*T))),5,n_0,1,3,kb,1,3,T,1,3,mom,1,3,B,1,3,,,,,,,,,,,,,,,
|
82 |
+
II.35.21,81,M,n_rho*mom*tanh(mom*B/(kb*T)),5,n_rho,1,5,mom,1,5,B,1,5,kb,1,5,T,1,5,,,,,,,,,,,,,,,
|
83 |
+
II.36.38,82,f,mom*H/(kb*T)+(mom*alpha)/(epsilon*c**2*kb*T)*M,8,mom,1,3,H,1,3,kb,1,3,T,1,3,alpha,1,3,epsilon,1,3,c,1,3,M,1,3,,,,,,
|
84 |
+
II.37.1,83,E_n,mom*(1+chi)*B,3,mom,1,5,B,1,5,chi,1,5,,,,,,,,,,,,,,,,,,,,,
|
85 |
+
II.38.3,84,F,Y*A*x/d,4,Y,1,5,A,1,5,d,1,5,x,1,5,,,,,,,,,,,,,,,,,,
|
86 |
+
II.38.14,85,mu_S,Y/(2*(1+sigma)),2,Y,1,5,sigma,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
87 |
+
III.4.32,86,n,1/(exp((h/(2*pi))*omega/(kb*T))-1),4,h,1,5,omega,1,5,kb,1,5,T,1,5,,,,,,,,,,,,,,,,,,
|
88 |
+
III.4.33,87,E_n,(h/(2*pi))*omega/(exp((h/(2*pi))*omega/(kb*T))-1),4,h,1,5,omega,1,5,kb,1,5,T,1,5,,,,,,,,,,,,,,,,,,
|
89 |
+
III.7.38,88,omega,2*mom*B/(h/(2*pi)),3,mom,1,5,B,1,5,h,1,5,,,,,,,,,,,,,,,,,,,,,
|
90 |
+
III.8.54,89,prob,sin(E_n*t/(h/(2*pi)))**2,3,E_n,1,2,t,1,2,h,1,4,,,,,,,,,,,,,,,,,,,,,
|
91 |
+
III.9.52,90,prob,(p_d*Ef*t/(h/(2*pi)))*sin((omega-omega_0)*t/2)**2/((omega-omega_0)*t/2)**2,6,p_d,1,3,Ef,1,3,t,1,3,h,1,3,omega,1,5,omega_0,1,5,,,,,,,,,,,,
|
92 |
+
III.10.19,91,E_n,mom*sqrt(Bx**2+By**2+Bz**2),4,mom,1,5,Bx,1,5,By,1,5,Bz,1,5,,,,,,,,,,,,,,,,,,
|
93 |
+
III.12.43,92,L,n*(h/(2*pi)),2,n,1,5,h,1,5,,,,,,,,,,,,,,,,,,,,,,,,
|
94 |
+
III.13.18,93,v,2*E_n*d**2*k/(h/(2*pi)),4,E_n,1,5,d,1,5,k,1,5,h,1,5,,,,,,,,,,,,,,,,,,
|
95 |
+
III.14.14,94,I,I_0*(exp(q*Volt/(kb*T))-1),5,I_0,1,5,q,1,2,Volt,1,2,kb,1,2,T,1,2,,,,,,,,,,,,,,,
|
96 |
+
III.15.12,95,E_n,2*U*(1-cos(k*d)),3,U,1,5,k,1,5,d,1,5,,,,,,,,,,,,,,,,,,,,,
|
97 |
+
III.15.14,96,m,(h/(2*pi))**2/(2*E_n*d**2),3,h,1,5,E_n,1,5,d,1,5,,,,,,,,,,,,,,,,,,,,,
|
98 |
+
III.15.27,97,k,2*pi*alpha/(n*d),3,alpha,1,5,n,1,5,d,1,5,,,,,,,,,,,,,,,,,,,,,
|
99 |
+
III.17.37,98,f,beta*(1+alpha*cos(theta)),3,beta,1,5,alpha,1,5,theta,1,5,,,,,,,,,,,,,,,,,,,,,
|
100 |
+
III.19.51,99,E_n,-m*q**4/(2*(4*pi*epsilon)**2*(h/(2*pi))**2)*(1/n**2),5,m,1,5,q,1,5,h,1,5,n,1,5,epsilon,1,5,,,,,,,,,,,,,,,
|
101 |
+
III.21.20,100,j,-rho_c_0*q*A_vec/m,4,rho_c_0,1,5,q,1,5,A_vec,1,5,m,1,5,,,,,,,,,,,,,,,,,,
|
102 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
103 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
104 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
105 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
106 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
107 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
108 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
109 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
110 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
111 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
112 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
113 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
114 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
115 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
116 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
117 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
118 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
119 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
120 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
121 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
122 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
123 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
124 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
125 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
126 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
127 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
128 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
129 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
130 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
131 |
+
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
|
equations.jsonl
ADDED
@@ -0,0 +1,100 @@
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|
|
|
|
|
|
|
|
1 |
+
{"name": "I.6.2a", "symbols": ["f", "theta"], "symbol_descs": ["Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V"], "expression": "exp(-theta**2/2)/sqrt(2*pi)", "symbol_ranges": [null, [1.0, 3.0]]}
|
2 |
+
{"name": "I.6.2", "symbols": ["f", "sigma", "theta"], "symbol_descs": ["Dimensionless", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V"], "expression": "exp(-(theta/sigma)**2/2)/(sqrt(2*pi)*sigma)", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0]]}
|
3 |
+
{"name": "I.6.2b", "symbols": ["f", "sigma", "theta", "theta1"], "symbol_descs": ["Dimensionless", "Dimensionless", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "exp(-((theta-theta1)/sigma)**2/2)/(sqrt(2*pi)*sigma)", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
4 |
+
{"name": "I.8.14", "symbols": ["d", "x1", "x2", "y1", "y2"], "symbol_descs": ["Length", "Length", "Length", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "sqrt((x2-x1)**2+(y2-y1)**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
5 |
+
{"name": "I.9.18", "symbols": ["F", "m1", "m2", "G", "x1", "x2", "y1", "y2", "z1", "z2"], "symbol_descs": ["Force", "Mass", "Mass", "Newton's constant", "Length", "Length", "Length", "Length", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V", "V", "V", "V"], "expression": "G*m1*m2/((x2-x1)**2+(y2-y1)**2+(z2-z1)**2)", "symbol_ranges": [null, [1.0, 2.0], [1.0, 2.0], [1.0, 2.0], [3.0, 4.0], [1.0, 2.0], [3.0, 4.0], [1.0, 2.0], [3.0, 4.0], [1.0, 2.0]]}
|
6 |
+
{"name": "I.10.7", "symbols": ["m", "m_0", "v", "c"], "symbol_descs": ["Mass", "Mass", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "m_0/sqrt(1-v**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
7 |
+
{"name": "I.11.19", "symbols": ["A", "x1", "x2", "x3", "y1", "y2", "y3"], "symbol_descs": ["Area", "Length", "Length", "Length", "Length", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "x1*y1+x2*y2+x3*y3", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
8 |
+
{"name": "I.12.1", "symbols": ["F", "mu", "Nn"], "symbol_descs": ["Force", "Dimensionless", "Force"], "symbol_properties": ["O", "V", "V"], "expression": "mu*Nn", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
9 |
+
{"name": "I.12.2", "symbols": ["F", "q1", "q2", "epsilon", "r"], "symbol_descs": ["Force", "Charge", "Charge", "Electric permitivity", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "q1*q2*r/(4*pi*epsilon*r**3)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
10 |
+
{"name": "I.12.4", "symbols": ["Ef", "q1", "epsilon", "r"], "symbol_descs": ["Electric field", "Charge", "Electric permitivity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "q1*r/(4*pi*epsilon*r**3)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
11 |
+
{"name": "I.12.5", "symbols": ["F", "q2", "Ef"], "symbol_descs": ["Force", "Charge", "Electric field"], "symbol_properties": ["O", "V", "V"], "expression": "q2*Ef", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
12 |
+
{"name": "I.12.11", "symbols": ["F", "q", "Ef", "B", "v", "theta"], "symbol_descs": ["Force", "Charge", "Electric field", "Magnetic field", "Velocity", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "q*(Ef+B*v*sin(theta))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
13 |
+
{"name": "I.13.4", "symbols": ["K", "m", "v", "u", "w"], "symbol_descs": ["Energy", "Mass", "Velocity", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/2*m*(v**2+u**2+w**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
14 |
+
{"name": "I.13.12", "symbols": ["U", "m1", "m2", "r1", "r2", "G"], "symbol_descs": ["Energy", "Mass", "Mass", "Length", "Length", "Newton's constant"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "G*m1*m2*(1/r2-1/r1)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
15 |
+
{"name": "I.14.3", "symbols": ["U", "m", "g", "z"], "symbol_descs": ["Energy", "Mass", "Acceleration", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "m*g*z", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
16 |
+
{"name": "I.14.4", "symbols": ["U", "k_spring", "x"], "symbol_descs": ["Energy", "Spring constant", "Length"], "symbol_properties": ["O", "V", "V"], "expression": "1/2*k_spring*x**2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
17 |
+
{"name": "I.15.3x", "symbols": ["x1", "x", "u", "c", "t"], "symbol_descs": ["Length", "Length", "Velocity", "Velocity", "\u03a4ime"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "(x-u*t)/sqrt(1-u**2/c**2)", "symbol_ranges": [null, [5.0, 10.0], [1.0, 2.0], [3.0, 20.0], [1.0, 2.0]]}
|
18 |
+
{"name": "I.15.3t", "symbols": ["t1", "x", "c", "u", "t"], "symbol_descs": ["\u03a4ime", "Length", "Velocity", "Velocity", "\u03a4ime"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "(t-u*x/c**2)/sqrt(1-u**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [3.0, 10.0], [1.0, 2.0], [1.0, 5.0]]}
|
19 |
+
{"name": "I.15.1", "symbols": ["p", "m_0", "v", "c"], "symbol_descs": ["Momentum", "Mass", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "m_0*v/sqrt(1-v**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
20 |
+
{"name": "I.16.6", "symbols": ["v1", "c", "v", "u"], "symbol_descs": ["Velocity", "Velocity", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "(u+v)/(1+u*v/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
21 |
+
{"name": "I.18.4", "symbols": ["r", "m1", "m2", "r1", "r2"], "symbol_descs": ["Length", "Mass", "Mass", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "(m1*r1+m2*r2)/(m1+m2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
22 |
+
{"name": "I.18.12", "symbols": ["tau", "r", "F", "theta"], "symbol_descs": ["Torque", "Length", "Force", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "r*F*sin(theta)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [0.0, 5.0]]}
|
23 |
+
{"name": "I.18.14", "symbols": ["L", "m", "r", "v", "theta"], "symbol_descs": ["Angular momentum", "Mass", "Length", "Velocity", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "m*r*v*sin(theta)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
24 |
+
{"name": "I.24.6", "symbols": ["E_n", "m", "omega", "omega_0", "x"], "symbol_descs": ["Energy", "Mass", "Frequency", "Frequency", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/2*m*(omega**2+omega_0**2)*1/2*x**2", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
25 |
+
{"name": "I.25.13", "symbols": ["Volt", "q", "C"], "symbol_descs": ["Voltage", "Charge", "Capacitance"], "symbol_properties": ["O", "V", "V"], "expression": "q/C", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
26 |
+
{"name": "I.26.2", "symbols": ["theta1", "n", "theta2"], "symbol_descs": ["Dimensionless", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V"], "expression": "arcsin(n*sin(theta2))", "symbol_ranges": [null, [0.0, 1.0], [1.0, 5.0]]}
|
27 |
+
{"name": "I.27.6", "symbols": ["foc", "d1", "d2", "n"], "symbol_descs": ["Length", "Length", "Length", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "1/(1/d1+n/d2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
28 |
+
{"name": "I.29.4", "symbols": ["k", "omega", "c"], "symbol_descs": ["Wave number", "Frequency", "Velocity"], "symbol_properties": ["O", "V", "V"], "expression": "omega/c", "symbol_ranges": [null, [1.0, 10.0], [1.0, 10.0]]}
|
29 |
+
{"name": "I.29.16", "symbols": ["x", "x1", "x2", "theta1", "theta2"], "symbol_descs": ["Length", "Length", "Length", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "sqrt(x1**2+x2**2-2*x1*x2*cos(theta1-theta2))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
30 |
+
{"name": "I.30.3", "symbols": ["Int", "Int_0", "theta", "n"], "symbol_descs": ["Light intensity", "Light intensity", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "Int_0*sin(n*theta/2)**2/sin(theta/2)**2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
31 |
+
{"name": "I.30.5", "symbols": ["theta", "lambd", "d", "n"], "symbol_descs": ["Dimensionless", "Length", "Length", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "arcsin(lambd/(n*d))", "symbol_ranges": [null, [1.0, 2.0], [2.0, 5.0], [1.0, 5.0]]}
|
32 |
+
{"name": "I.32.5", "symbols": ["Pwr", "q", "a", "epsilon", "c"], "symbol_descs": ["Power", "Charge", "Acceleration", "Electric permitivity", "Velocity"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "q**2*a**2/(6*pi*epsilon*c**3)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
33 |
+
{"name": "I.32.17", "symbols": ["Pwr", "epsilon", "c", "Ef", "r", "omega", "omega_0"], "symbol_descs": ["Power", "Electric permitivity", "Velocity", "Electric field", "Length", "Frequency", "Frequency"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "(1/2*epsilon*c*Ef**2)*(8*pi*r**2/3)*(omega**4/(omega**2-omega_0**2)**2)", "symbol_ranges": [null, [1.0, 2.0], [1.0, 2.0], [1.0, 2.0], [1.0, 2.0], [1.0, 2.0], [3.0, 5.0]]}
|
34 |
+
{"name": "I.34.8", "symbols": ["omega", "q", "v", "B", "p"], "symbol_descs": ["Frequency", "Charge", "Velocity", "Magnetic field", "Momentum"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "q*v*B/p", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
35 |
+
{"name": "I.34.1", "symbols": ["omega", "c", "v", "omega_0"], "symbol_descs": ["Frequency", "Velocity", "Velocity", "Frequency"], "symbol_properties": ["O", "V", "V", "V"], "expression": "omega_0/(1-v/c)", "symbol_ranges": [null, [3.0, 10.0], [1.0, 2.0], [1.0, 5.0]]}
|
36 |
+
{"name": "I.34.14", "symbols": ["omega", "c", "v", "omega_0"], "symbol_descs": ["Frequency", "Velocity", "Velocity", "Frequency"], "symbol_properties": ["O", "V", "V", "V"], "expression": "(1+v/c)/sqrt(1-v**2/c**2)*omega_0", "symbol_ranges": [null, [3.0, 10.0], [1.0, 2.0], [1.0, 5.0]]}
|
37 |
+
{"name": "I.34.27", "symbols": ["E_n", "omega", "h"], "symbol_descs": ["Energy", "Frequency", "Angular momentum"], "symbol_properties": ["O", "V", "V"], "expression": "(h/(2*pi))*omega", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
38 |
+
{"name": "I.37.4", "symbols": ["Int", "I1", "I2", "delta"], "symbol_descs": ["Light intensity", "Light intensity", "Light intensity", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "I1+I2+2*sqrt(I1*I2)*cos(delta)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
39 |
+
{"name": "I.38.12", "symbols": ["r", "m", "q", "h", "epsilon"], "symbol_descs": ["Length", "Mass", "Charge", "Angular momentum", "Electric permitivity"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "4*pi*epsilon*(h/(2*pi))**2/(m*q**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
40 |
+
{"name": "I.39.1", "symbols": ["E_n", "pr", "V"], "symbol_descs": ["Energy", "Pressure", "volume"], "symbol_properties": ["O", "V", "V"], "expression": "3/2*pr*V", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
41 |
+
{"name": "I.39.11", "symbols": ["E_n", "gamma", "pr", "V"], "symbol_descs": ["Energy", "Dimensionless", "Pressure", "volume"], "symbol_properties": ["O", "V", "V", "V"], "expression": "1/(gamma-1)*pr*V", "symbol_ranges": [null, [2.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
42 |
+
{"name": "I.39.22", "symbols": ["pr", "n", "T", "V", "kb"], "symbol_descs": ["Pressure", "Dimensionless", "Temperature", "volume", "Boltzmann constant"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "n*kb*T/V", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
43 |
+
{"name": "I.40.1", "symbols": ["n", "n_0", "m", "x", "T", "g", "kb"], "symbol_descs": ["Dimensionless", "Dimensionless", "Mass", "Length", "Temperature", "Acceleration", "Boltzmann constant"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "n_0*exp(-m*g*x/(kb*T))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
44 |
+
{"name": "I.41.16", "symbols": ["L_rad", "omega", "T", "h", "kb", "c"], "symbol_descs": ["Spectral radiance", "Frequency", "Temperature", "Angular momentum", "Boltzmann constant", "Velocity"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "h/(2*pi)*omega**3/(pi**2*c**2*(exp((h/(2*pi))*omega/(kb*T))-1))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
45 |
+
{"name": "I.43.16", "symbols": ["v", "mu_drift", "q", "Volt", "d"], "symbol_descs": ["Velocity", "Drift velocity constant", "Charge", "Voltage", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "mu_drift*q*Volt/d", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
46 |
+
{"name": "I.43.31", "symbols": ["D", "mob", "T", "kb"], "symbol_descs": ["Diffusion coefficient", "Mobility", "Temperature", "Boltzmann constant"], "symbol_properties": ["O", "V", "V", "V"], "expression": "mob*kb*T", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
47 |
+
{"name": "I.43.43", "symbols": ["kappa", "gamma", "kb", "A", "v"], "symbol_descs": ["Thermal conductivity", "Dimensionless", "Boltzmann constant", "Area", "Velocity"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/(gamma-1)*kb*v/A", "symbol_ranges": [null, [2.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
48 |
+
{"name": "I.44.4", "symbols": ["E_n", "n", "kb", "T", "V1", "V2"], "symbol_descs": ["Energy", "Dimensionless", "Boltzmann constant", "Temperature", "volume", "volume"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "n*kb*T*ln(V2/V1)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
49 |
+
{"name": "I.47.23", "symbols": ["c", "gamma", "pr", "rho"], "symbol_descs": ["Velocity", "Dimensionless", "Pressure", "Density"], "symbol_properties": ["O", "V", "V", "V"], "expression": "sqrt(gamma*pr/rho)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
50 |
+
{"name": "I.48.2", "symbols": ["E_n", "m", "v", "c"], "symbol_descs": ["Energy", "Mass", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "m*c**2/sqrt(1-v**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
51 |
+
{"name": "I.50.26", "symbols": ["x", "x1", "omega", "t", "alpha"], "symbol_descs": ["Length", "Length", "Frequency", "\u03a4ime", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "x1*(cos(omega*t)+alpha*cos(omega*t)**2)", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
52 |
+
{"name": "II.2.42", "symbols": ["Pwr", "kappa", "T1", "T2", "A", "d"], "symbol_descs": ["Power", "Thermal conductivity", "Temperature", "Temperature", "Area", "Length"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "kappa*(T2-T1)*A/d", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
53 |
+
{"name": "II.3.24", "symbols": ["flux", "Pwr", "r"], "symbol_descs": ["Energy flux", "Power", "Length"], "symbol_properties": ["O", "V", "V"], "expression": "Pwr/(4*pi*r**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
54 |
+
{"name": "II.4.23", "symbols": ["Volt", "q", "epsilon", "r"], "symbol_descs": ["Voltage", "Charge", "Electric permitivity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "q/(4*pi*epsilon*r)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
55 |
+
{"name": "II.6.11", "symbols": ["Volt", "epsilon", "p_d", "theta", "r"], "symbol_descs": ["Voltage", "Electric permitivity", "Electric dipole moment", "Dimensionless", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/(4*pi*epsilon)*p_d*cos(theta)/r**2", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
56 |
+
{"name": "II.6.15a", "symbols": ["Ef", "epsilon", "p_d", "r", "x", "y", "z"], "symbol_descs": ["Electric field", "Electric permitivity", "Electric dipole moment", "Length", "Length", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "p_d/(4*pi*epsilon)*3*z/r**5*sqrt(x**2+y**2)", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
57 |
+
{"name": "II.6.15b", "symbols": ["Ef", "epsilon", "p_d", "theta", "r"], "symbol_descs": ["Electric field", "Electric permitivity", "Electric dipole moment", "Dimensionless", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "p_d/(4*pi*epsilon)*3*cos(theta)*sin(theta)/r**3", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
58 |
+
{"name": "II.8.7", "symbols": ["E_n", "q", "epsilon", "d"], "symbol_descs": ["Energy", "Charge", "Electric permitivity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "3/5*q**2/(4*pi*epsilon*d)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
59 |
+
{"name": "II.8.31", "symbols": ["E_den", "epsilon", "Ef"], "symbol_descs": ["Energy density", "Electric permitivity", "Electric field"], "symbol_properties": ["O", "V", "V"], "expression": "epsilon*Ef**2/2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
60 |
+
{"name": "II.10.9", "symbols": ["Ef", "sigma_den", "epsilon", "chi"], "symbol_descs": ["Electric field", "Surface Charge density", "Electric permitivity", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "sigma_den/epsilon*1/(1+chi)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
61 |
+
{"name": "II.11.3", "symbols": ["x", "q", "Ef", "m", "omega_0", "omega"], "symbol_descs": ["Length", "Charge", "Electric field", "Mass", "Frequency", "Frequency"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "q*Ef/(m*(omega_0**2-omega**2))", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [3.0, 5.0], [1.0, 2.0]]}
|
62 |
+
{"name": "II.11.17", "symbols": ["n", "n_0", "kb", "T", "theta", "p_d", "Ef"], "symbol_descs": ["Dimensionless", "Dimensionless", "Boltzmann constant", "Temperature", "Dimensionless", "Electric dipole moment", "Electric field"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "n_0*(1+p_d*Ef*cos(theta)/(kb*T))", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
63 |
+
{"name": "II.11.20", "symbols": ["Pol", "n_rho", "p_d", "Ef", "kb", "T"], "symbol_descs": ["Polarization", "Inverse volume", "Electric dipole moment", "Electric field", "Boltzmann constant", "Temperature"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "n_rho*p_d**2*Ef/(3*kb*T)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
64 |
+
{"name": "II.11.27", "symbols": ["Pol", "n", "alpha", "epsilon", "Ef"], "symbol_descs": ["Polarization", "Dimensionless", "Dimensionless", "Electric permitivity", "Electric field"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "n*alpha/(1-(n*alpha/3))*epsilon*Ef", "symbol_ranges": [null, [0.0, 1.0], [0.0, 1.0], [1.0, 2.0], [1.0, 2.0]]}
|
65 |
+
{"name": "II.11.28", "symbols": ["theta", "n", "alpha"], "symbol_descs": ["Dimensionless", "Dimensionless", "Dimensionless"], "symbol_properties": ["O", "V", "V"], "expression": "1+n*alpha/(1-(n*alpha/3))", "symbol_ranges": [null, [0.0, 1.0], [0.0, 1.0]]}
|
66 |
+
{"name": "II.13.17", "symbols": ["B", "epsilon", "c", "I", "r"], "symbol_descs": ["Magnetic field", "Electric permitivity", "Velocity", "Current Intensity", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/(4*pi*epsilon*c**2)*2*I/r", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
67 |
+
{"name": "II.13.23", "symbols": ["rho_c", "rho_c_0", "v", "c"], "symbol_descs": ["Volume charge density", "Volume charge density", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "rho_c_0/sqrt(1-v**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
68 |
+
{"name": "II.13.34", "symbols": ["j", "rho_c_0", "v", "c"], "symbol_descs": ["Current density", "Volume charge density", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V"], "expression": "rho_c_0*v/sqrt(1-v**2/c**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
69 |
+
{"name": "II.15.4", "symbols": ["E_n", "mom", "B", "theta"], "symbol_descs": ["Energy", "Magnetic moment", "Magnetic field", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "-mom*B*cos(theta)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
70 |
+
{"name": "II.15.5", "symbols": ["E_n", "p_d", "Ef", "theta"], "symbol_descs": ["Energy", "Electric dipole moment", "Electric field", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "-p_d*Ef*cos(theta)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
71 |
+
{"name": "II.21.32", "symbols": ["Volt", "q", "epsilon", "r", "v", "c"], "symbol_descs": ["Voltage", "Charge", "Electric permitivity", "Length", "Velocity", "Velocity"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "q/(4*pi*epsilon*r*(1-v/c))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 2.0], [3.0, 10.0]]}
|
72 |
+
{"name": "II.24.17", "symbols": ["k", "omega", "c", "d"], "symbol_descs": ["Wave number", "Frequency", "Velocity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "sqrt(omega**2/c**2-pi**2/d**2)", "symbol_ranges": [null, [4.0, 6.0], [1.0, 2.0], [2.0, 4.0]]}
|
73 |
+
{"name": "II.27.16", "symbols": ["flux", "epsilon", "c", "Ef"], "symbol_descs": ["Energy flux", "Electric permitivity", "Velocity", "Electric field"], "symbol_properties": ["O", "V", "V", "V"], "expression": "epsilon*c*Ef**2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
74 |
+
{"name": "II.27.18", "symbols": ["E_den", "epsilon", "Ef"], "symbol_descs": ["Energy density", "Electric permitivity", "Electric field"], "symbol_properties": ["O", "V", "V"], "expression": "epsilon*Ef**2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
75 |
+
{"name": "II.34.2a", "symbols": ["I", "q", "v", "r"], "symbol_descs": ["Current Intensity", "Charge", "Velocity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "q*v/(2*pi*r)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
76 |
+
{"name": "II.34.2", "symbols": ["mom", "q", "v", "r"], "symbol_descs": ["Magnetic moment", "Charge", "Velocity", "Length"], "symbol_properties": ["O", "V", "V", "V"], "expression": "q*v*r/2", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
77 |
+
{"name": "II.34.11", "symbols": ["omega", "g_", "q", "B", "m"], "symbol_descs": ["Frequency", "Dimensionless", "Charge", "Magnetic field", "Mass"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "g_*q*B/(2*m)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
78 |
+
{"name": "II.34.29a", "symbols": ["mom", "q", "h", "m"], "symbol_descs": ["Magnetic moment", "Charge", "Angular momentum", "Mass"], "symbol_properties": ["O", "V", "V", "V"], "expression": "q*h/(4*pi*m)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
79 |
+
{"name": "II.34.29b", "symbols": ["E_n", "g_", "h", "Jz", "mom", "B"], "symbol_descs": ["Energy", "Dimensionless", "Angular momentum", "Angular momentum", "Magnetic moment", "Magnetic field"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "g_*mom*B*Jz/(h/(2*pi))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
80 |
+
{"name": "II.35.18", "symbols": ["n", "n_0", "kb", "T", "mom", "B"], "symbol_descs": ["Dimensionless", "Dimensionless", "Boltzmann constant", "Temperature", "Magnetic moment", "Magnetic field"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "n_0/(exp(mom*B/(kb*T))+exp(-mom*B/(kb*T)))", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
81 |
+
{"name": "II.35.21", "symbols": ["M", "n_rho", "mom", "B", "kb", "T"], "symbol_descs": ["Magnetisation", "Inverse volume", "Magnetic moment", "Magnetic field", "Boltzmann constant", "Temperature"], "symbol_properties": ["O", "V", "V", "V", "V", "V"], "expression": "n_rho*mom*tanh(mom*B/(kb*T))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
82 |
+
{"name": "II.36.38", "symbols": ["f", "mom", "H", "kb", "T", "alpha", "epsilon", "c", "M"], "symbol_descs": ["Dimensionless", "Magnetic moment", "Magnetic field", "Boltzmann constant", "Temperature", "Dimensionless", "Electric permitivity", "Velocity", "Magnetisation"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V", "V", "V"], "expression": "mom*H/(kb*T)+(mom*alpha)/(epsilon*c**2*kb*T)*M", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0]]}
|
83 |
+
{"name": "II.37.1", "symbols": ["E_n", "mom", "B", "chi"], "symbol_descs": ["Energy", "Magnetic moment", "Magnetic field", "Dimensionless"], "symbol_properties": ["O", "V", "V", "V"], "expression": "mom*(1+chi)*B", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
84 |
+
{"name": "II.38.3", "symbols": ["F", "Y", "A", "d", "x"], "symbol_descs": ["Force", "Young modulus", "Area", "Length", "Length"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "Y*A*x/d", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
85 |
+
{"name": "II.38.14", "symbols": ["mu_S", "Y", "sigma"], "symbol_descs": ["Shear modulus", "Young modulus", "Dimensionless"], "symbol_properties": ["O", "V", "V"], "expression": "Y/(2*(1+sigma))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
86 |
+
{"name": "III.4.32", "symbols": ["n", "h", "omega", "kb", "T"], "symbol_descs": ["Dimensionless", "Angular momentum", "Frequency", "Boltzmann constant", "Temperature"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "1/(exp((h/(2*pi))*omega/(kb*T))-1)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
87 |
+
{"name": "III.4.33", "symbols": ["E_n", "h", "omega", "kb", "T"], "symbol_descs": ["Energy", "Angular momentum", "Frequency", "Boltzmann constant", "Temperature"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "(h/(2*pi))*omega/(exp((h/(2*pi))*omega/(kb*T))-1)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
88 |
+
{"name": "III.7.38", "symbols": ["omega", "mom", "B", "h"], "symbol_descs": ["Frequency", "Magnetic moment", "Magnetic field", "Angular momentum"], "symbol_properties": ["O", "V", "V", "V"], "expression": "2*mom*B/(h/(2*pi))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
89 |
+
{"name": "III.8.54", "symbols": ["prob", "E_n", "t", "h"], "symbol_descs": ["Dimensionless", "Energy", "\u03a4ime", "Angular momentum"], "symbol_properties": ["O", "V", "V", "V"], "expression": "sin(E_n*t/(h/(2*pi)))**2", "symbol_ranges": [null, [1.0, 2.0], [1.0, 2.0], [1.0, 4.0]]}
|
90 |
+
{"name": "III.9.52", "symbols": ["prob", "p_d", "Ef", "t", "h", "omega", "omega_0"], "symbol_descs": ["Dimensionless", "Electric dipole moment", "Electric field", "\u03a4ime", "Angular momentum", "Frequency", "Frequency"], "symbol_properties": ["O", "V", "V", "V", "V", "V", "V"], "expression": "(p_d*Ef*t/(h/(2*pi)))*sin((omega-omega_0)*t/2)**2/((omega-omega_0)*t/2)**2", "symbol_ranges": [null, [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 3.0], [1.0, 5.0], [1.0, 5.0]]}
|
91 |
+
{"name": "III.10.19", "symbols": ["E_n", "mom", "Bx", "By", "Bz"], "symbol_descs": ["Energy", "Magnetic moment", "Magnetic field", "Magnetic field", "Magnetic field"], "symbol_properties": ["O", "V", "V", "V", "V"], "expression": "mom*sqrt(Bx**2+By**2+Bz**2)", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0], [1.0, 5.0], [1.0, 5.0]]}
|
92 |
+
{"name": "III.12.43", "symbols": ["L", "n", "h"], "symbol_descs": ["Angular momentum", "Dimensionless", "Angular momentum"], "symbol_properties": ["O", "V", "V"], "expression": "n*(h/(2*pi))", "symbol_ranges": [null, [1.0, 5.0], [1.0, 5.0]]}
|
93 |
+
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version https://git-lfs.github.com/spec/v1
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oid sha256:bff3ac8849111f061fb2c48928c9ab402fa708c273f775277c81e22eb844f4cc
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size 4000504
|
samples/I.6.2.npz
ADDED
@@ -0,0 +1,3 @@
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|
|
|
|
|
|
|
|
1 |
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version https://git-lfs.github.com/spec/v1
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oid sha256:b1175313d71429a0ec0b146f034ef89b086c0b31210e8e1379190342a9af8a1f
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size 2400504
|
samples/I.6.2a.npz
ADDED
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
1 |
+
version https://git-lfs.github.com/spec/v1
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2 |
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oid sha256:6b80317dd4642c30ac926544531ad505b5f458d3d17685a95770c0ac4f70d3f3
|
3 |
+
size 1600504
|