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Diff for: plots, figures, results/3.1 dim_analysis_results.csv

+100
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1+
exp(-theta**2/2)/sqrt(2*pi),64,None,10,None
2+
exp(-(theta/sigma)**2/2)/(sqrt(2*pi)*sigma),64,None,10,None
3+
exp(-((theta-theta1)/sigma)**2/2)/(sqrt(2*pi)*sigma),64,None,10,None
4+
sqrt((x2-x1)**2+(y2-y1)**2),51,None,6,None
5+
G*m1*m2/((x2-x1)**2+(y2-y1)**2+(z2-z1)**2),2,None,1,True
6+
m_0/sqrt(1-v**2/c**2),5,None,1,True
7+
x1*y1+x2*y2+x3*y3,51,None,1,True
8+
mu*Nn,2,None,1,True
9+
q1*q2*r/(4*pi*epsilon*r**3),5,None,1,True
10+
q1*r/(4*pi*epsilon*r**3),5,None,1,True
11+
q2*Ef,3,None,2,None
12+
q*(Ef+B*v*sin(theta)),1,True,1,True
13+
1/2*m*(v**2+u**2+w**2),5,None,2,None
14+
G*m1*m2*(1/r2-1/r1),2,None,1,True
15+
m*g*z,1,True,1,True
16+
1/2*k_spring*x**2,1,True,1,True
17+
(x-u*t)/sqrt(1-u**2/c**2),2,None,1,True
18+
(t-u*x/c**2)/sqrt(1-u**2/c**2),2,None,1,True
19+
m_0*v/sqrt(1-v**2/c**2),5,None,1,True
20+
(u+v)/(1+u*v/c**2),35,None,1,True
21+
(m1*r1+m2*r2)/(m1+m2),6,None,1,True
22+
r*F*sin(theta),1,True,1,True
23+
m*r*v*sin(theta),1,True,1,True
24+
1/2*m*(omega**2+omega_0**2)*1/2*x**2,1,True,1,True
25+
q/C,1,True,1,True
26+
arcsin(n*sin(theta2)),64,None,10,None
27+
1/(1/d1+n/d2),10,None,3,None
28+
omega/c,7,None,2,None
29+
sqrt(x1**2+x2**2-2*x1*x2*cos(theta1-theta2)),10,None,3,None
30+
Int_0*sin(n*theta/2)**2/sin(theta/2)**2,2,None,2,None
31+
arcsin(lambd/(n*d)),10,None,0,None
32+
q**2*a**2/(6*pi*epsilon*c**3),1,True,1,True
33+
(1/2*epsilon*c*Ef**2)*(8*pi*r**2/3)*(omega**4/(omega**2-omega_0**2)**2),1,True,1,True
34+
q*v*B/p,1,True,1,True
35+
omega_0/(1-v/c),7,None,2,None
36+
(1+v/c)/sqrt(1-v**2/c**2)*omega_0,7,None,2,None
37+
(h/(2*pi))*omega,8,None,2,None
38+
I1+I2+2*sqrt(I1*I2)*cos(delta),2,None,2,None
39+
4*pi*epsilon*(h/(2*pi))**2/(m*q**2),2,None,1,True
40+
3/2*pr*V,2,None,2,None
41+
1/(gamma-1)*pr*V,1,True,1,True
42+
n*kb*T/V,2,None,1,True
43+
n_0*exp(-m*g*x/(kb*T)),0,None,0,None
44+
h/(2*pi)*omega**3/(pi**2*c**2*(exp((h/(2*pi))*omega/(kb*T))-1)),2,None,1,True
45+
mu_drift*q*Volt/d,0,None,0,None
46+
mob*kb*T,1,True,1,True
47+
1/(gamma-1)*kb*v/A,1,True,1,True
48+
n*kb*T*ln(V2/V1),2,None,1,True
49+
sqrt(gamma*pr/rho),1,True,1,True
50+
m*c**2/sqrt(1-v**2/c**2),5,None,2,None
51+
x1*(cos(omega*t)+alpha*cos(omega*t)**2),1,True,1,True
52+
kappa*(T2-T1)*A/d,1,True,1,True
53+
Pwr/(4*pi*r**2),0,None,0,None
54+
q/(4*pi*epsilon*r),5,None,2,None
55+
1/(4*pi*epsilon)*p_d*cos(theta)/r**2,2,None,1,True
56+
p_d/(4*pi*epsilon)*3*z/r**5*sqrt(x**2+y**2),3,None,2,None
57+
p_d/(4*pi*epsilon)*3*cos(theta)*sin(theta)/r**3,2,None,1,True
58+
3/5*q**2/(4*pi*epsilon*d),5,None,1,True
59+
epsilon*Ef**2/2,5,None,2,None
60+
sigma_den/epsilon*1/(1+chi),1,True,1,True
61+
q*Ef/(m*(omega_0**2-omega**2)),1,True,1,True
62+
n_0*(1+p_d*Ef*cos(theta)/(kb*T)),2,None,1,True
63+
n_rho*p_d**2*Ef/(3*kb*T),1,True,1,True
64+
n*alpha/(1-(n*alpha/3))*epsilon*Ef,1,True,1,True
65+
1+n*alpha/(1-(n*alpha/3)),64,None,10,None
66+
1/(4*pi*epsilon*c**2)*2*I/r,1,True,1,True
67+
rho_c_0/sqrt(1-v**2/c**2),2,None,1,True
68+
rho_c_0*v/sqrt(1-v**2/c**2),2,None,1,True
69+
-mom*B*cos(theta),5,None,3,None
70+
-p_d*Ef*cos(theta),3,None,1,True
71+
q/(4*pi*epsilon*r*(1-v/c)),1,True,1,True
72+
sqrt(omega**2/c**2-pi**2/d**2),2,None,1,True
73+
epsilon*c*Ef**2,2,None,1,True
74+
epsilon*Ef**2,5,None,2,None
75+
q*v/(2*pi*r),3,None,1,True
76+
q*v*r/2,3,None,1,True
77+
g_*q*B/(2*m),1,True,1,True
78+
q*h/(4*pi*m),3,None,1,True
79+
g_*mom*B*Jz/(h/(2*pi)),1,True,1,True
80+
n_0/(exp(mom*B/(kb*T))+exp(-mom*B/(kb*T))),2,None,2,None
81+
n_rho*mom*tanh(mom*B/(kb*T)),1,True,1,True
82+
mom*H/(kb*T)+(mom*alpha)/(epsilon*c**2*kb*T)*M,1,True,1,True
83+
mom*(1+chi)*B,5,None,3,None
84+
Y*A*x/d,1,True,1,True
85+
Y/(2*(1+sigma)),3,None,1,True
86+
1/(exp((h/(2*pi))*omega/(kb*T))-1),6,None,1,True
87+
(h/(2*pi))*omega/(exp((h/(2*pi))*omega/(kb*T))-1),6,None,1,True
88+
2*mom*B/(h/(2*pi)),2,None,1,True
89+
sin(E_n*t/(h/(2*pi)))**2,2,None,1,True
90+
(p_d*Ef*t/(h/(2*pi)))*sin((omega-omega_0)*t/2)**2/((omega-omega_0)*t/2)**2,1,True,1,True
91+
mom*sqrt(Bx**2+By**2+Bz**2),12,None,4,None
92+
n*(h/(2*pi)),2,None,1,True
93+
2*E_n*d**2*k/(h/(2*pi)),1,True,1,True
94+
I_0*(exp(q*Volt/(kb*T))-1),1,True,1,True
95+
2*U*(1-cos(k*d)),2,None,1,True
96+
(h/(2*pi))**2/(2*E_n*d**2),2,None,1,True
97+
2*pi*alpha/(n*d),10,None,1,True
98+
beta*(1+alpha*cos(theta)),64,None,10,None
99+
-m*q**4/(2*(4*pi*epsilon)**2*(h/(2*pi))**2)*(1/n**2),0,None,0,None
100+
-rho_c_0*q*A_vec/m,1,True,1,True

Diff for: plots, figures, results/3.2 brute_force.csv

+100
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,100 @@
1+
exp(-theta**2/2)/sqrt(2*pi),10,10
2+
exp(-(theta/sigma)**2/2)/(sqrt(2*pi)*sigma),10,10
3+
exp(-((theta-theta1)/sigma)**2/2)/(sqrt(2*pi)*sigma),10,10
4+
sqrt((x2-x1)**2+(y2-y1)**2),10,10
5+
G*m1*m2/((x2-x1)**2+(y2-y1)**2+(z2-z1)**2),10,10
6+
m_0/sqrt(1-v**2/c**2),8,10
7+
x1*y1+x2*y2+x3*y3,10,10
8+
mu*Nn,10,10
9+
q1*q2*r/(4*pi*epsilon*r**3),10,10
10+
q1*r/(4*pi*epsilon*r**3),10,10
11+
q2*Ef,0,10
12+
q*(Ef+B*v*sin(theta)),10,10
13+
1/2*m*(v**2+u**2+w**2),10,10
14+
G*m1*m2*(1/r2-1/r1),1,10
15+
m*g*z,10,10
16+
1/2*k_spring*x**2,10,10
17+
(x-u*t)/sqrt(1-u**2/c**2),5,10
18+
(t-u*x/c**2)/sqrt(1-u**2/c**2),6,10
19+
m_0*v/sqrt(1-v**2/c**2),5,10
20+
(u+v)/(1+u*v/c**2),10,10
21+
(m1*r1+m2*r2)/(m1+m2),10,10
22+
r*F*sin(theta),10,10
23+
m*r*v*sin(theta),7,10
24+
1/2*m*(omega**2+omega_0**2)*1/2*x**2,10,10
25+
q/C,10,10
26+
arcsin(n*sin(theta2)),7,10
27+
1/(1/d1+n/d2),10,10
28+
omega/c,0,10
29+
sqrt(x1**2+x2**2-2*x1*x2*cos(theta1-theta2)),10,10
30+
Int_0*sin(n*theta/2)**2/sin(theta/2)**2,10,10
31+
arcsin(lambd/(n*d)),5,10
32+
q**2*a**2/(6*pi*epsilon*c**3),10,10
33+
(1/2*epsilon*c*Ef**2)*(8*pi*r**2/3)*(omega**4/(omega**2-omega_0**2)**2),10,10
34+
q*v*B/p,10,10
35+
omega_0/(1-v/c),4,10
36+
(1+v/c)/sqrt(1-v**2/c**2)*omega_0,6,10
37+
(h/(2*pi))*omega,10,10
38+
I1+I2+2*sqrt(I1*I2)*cos(delta),10,10
39+
4*pi*epsilon*(h/(2*pi))**2/(m*q**2),10,10
40+
3/2*pr*V,10,10
41+
1/(gamma-1)*pr*V,6,10
42+
n*kb*T/V,0,10
43+
n_0*exp(-m*g*x/(kb*T)),10,10
44+
h/(2*pi)*omega**3/(pi**2*c**2*(exp((h/(2*pi))*omega/(kb*T))-1)),10,10
45+
mu_drift*q*Volt/d,0,10
46+
mob*kb*T,0,10
47+
1/(gamma-1)*kb*v/A,6,10
48+
n*kb*T*ln(V2/V1),7,10
49+
sqrt(gamma*pr/rho),10,10
50+
m*c**2/sqrt(1-v**2/c**2),5,10
51+
x1*(cos(omega*t)+alpha*cos(omega*t)**2),9,10
52+
kappa*(T2-T1)*A/d,6,10
53+
Pwr/(4*pi*r**2),10,10
54+
q/(4*pi*epsilon*r),10,10
55+
1/(4*pi*epsilon)*p_d*cos(theta)/r**2,1,10
56+
p_d/(4*pi*epsilon)*3*z/r**5*sqrt(x**2+y**2),10,10
57+
p_d/(4*pi*epsilon)*3*cos(theta)*sin(theta)/r**3,3,10
58+
3/5*q**2/(4*pi*epsilon*d),10,10
59+
epsilon*Ef**2/2,0,10
60+
sigma_den/epsilon*1/(1+chi),10,10
61+
q*Ef/(m*(omega_0**2-omega**2)),5,10
62+
n_0*(1+p_d*Ef*cos(theta)/(kb*T)),6,10
63+
n_rho*p_d**2*Ef/(3*kb*T),10,10
64+
n*alpha/(1-(n*alpha/3))*epsilon*Ef,6,10
65+
1+n*alpha/(1-(n*alpha/3)),10,10
66+
1/(4*pi*epsilon*c**2)*2*I/r,10,10
67+
rho_c_0/sqrt(1-v**2/c**2),0,10
68+
rho_c_0*v/sqrt(1-v**2/c**2),0,10
69+
-mom*B*cos(theta),3,10
70+
-p_d*Ef*cos(theta),0,10
71+
q/(4*pi*epsilon*r*(1-v/c)),4,10
72+
sqrt(omega**2/c**2-pi**2/d**2),3,10
73+
epsilon*c*Ef**2,10,10
74+
epsilon*Ef**2,10,10
75+
q*v/(2*pi*r),10,10
76+
q*v*r/2,10,10
77+
g_*q*B/(2*m),10,10
78+
q*h/(4*pi*m),10,10
79+
g_*mom*B*Jz/(h/(2*pi)),9,10
80+
n_0/(exp(mom*B/(kb*T))+exp(-mom*B/(kb*T))),10,10
81+
n_rho*mom*tanh(mom*B/(kb*T)),8,10
82+
mom*H/(kb*T)+(mom*alpha)/(epsilon*c**2*kb*T)*M,10,10
83+
mom*(1+chi)*B,9,10
84+
Y*A*x/d,0,10
85+
Y/(2*(1+sigma)),10,10
86+
1/(exp((h/(2*pi))*omega/(kb*T))-1),9,10
87+
(h/(2*pi))*omega/(exp((h/(2*pi))*omega/(kb*T))-1),10,10
88+
2*mom*B/(h/(2*pi)),10,10
89+
sin(E_n*t/(h/(2*pi)))**2,10,10
90+
(p_d*Ef*t/(h/(2*pi)))*sin((omega-omega_0)*t/2)**2/((omega-omega_0)*t/2)**2,8,10
91+
mom*sqrt(Bx**2+By**2+Bz**2),10,10
92+
n*(h/(2*pi)),0,10
93+
2*E_n*d**2*k/(h/(2*pi)),9,10
94+
I_0*(exp(q*Volt/(kb*T))-1),8,10
95+
2*U*(1-cos(k*d)),10,10
96+
(h/(2*pi))**2/(2*E_n*d**2),10,10
97+
2*pi*alpha/(n*d),10,10
98+
beta*(1+alpha*cos(theta)),9,10
99+
-m*q**4/(2*(4*pi*epsilon)**2*(h/(2*pi))**2)*(1/n**2),0,10
100+
-rho_c_0*q*A_vec/m,0,10

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