Welcome to the Physics Derivation Graph

There are 227 Scalars, aka symbols of dimension 0

The symbol ID links to a page where you can edit the symbol
Case-insensitive dynamic search of latex as plain text: XOR

ID	latex	name	scope	domain	variable or constant	reference	dimension: time	dimension: length	dimension: mass	dimension: electric charge	dimension: amount of substance	dimension: temperature
0001054	\(\hbar\) \hbar	Reduced Planck's constant	real	any	constant	https://en.wikipedia.org/wiki/Planck_constant#Value	-1	2	1	0	0	0
0001088	\(W\) W	work done to a system	real	any	variable	https://en.wikipedia.org/wiki/Work_(thermodynamics)	-2	2	1	0	0	0
0001115	\(\lambda\) \lambda	wavelength	real	any	variable	https://en.wikipedia.org/wiki/Wavelength	0	1	0	0	0	0
0001134	\(p\) p	momentum	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0001157	\(k_{Boltzmann}\) k_{Boltzmann}	Boltzmann constant	real	any	constant	https://en.wikipedia.org/wiki/Boltzmann_constant	-2	2	1	0	0	-1
0001302	\(\vec{p}_{\rm before}\) \vec{p}_{\\rm before}	momentum before collision	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0001352	\(KE_2\) KE_2	kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	-2	2	1	0	0	0
0001356	\(k\) k	linear stiffness, aka spring constant	real	any	variable	https://en.wikipedia.org/wiki/Stiffness	-2	0	1	0	0	0
0001357	\(v\) v	velocity	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0001370	\(\alpha\) \alpha	fine-structure constant	real	any	constant	https://en.wikipedia.org/wiki/Fine-structure_constant	0	0	0	0	0	0
0001394	\(S\) S	entropy	real	any	variable	https://en.wikipedia.org/wiki/Entropy	-2	2	1	0	0	-1
0001434	\(\hat{x}_n\) \hat{x}_n	nth unit vector	real	any	variable		0	0	0	0	0	0
0001452	\(y\) y		real	any	variable		0	0	0	0	0	0
0001464	\(x\) x		real	any	variable		0	0	0	0	0	0
0001466	\(K\) K	bulk modulus	real	any	variable	https://en.wikipedia.org/wiki/Bulk_modulus	-2	-1	1	0	0	0
0001467	\(t\) t	time	real	any	variable	https://en.wikipedia.org/wiki/Time_in_physics	1	0	0	0	0	0
0001469	\(y_0\) y_0	initial position	real	any	variable		0	1	0	0	0	0
0001534	\(C_{\rm Earth\ orbit}\) C_{\\rm Earth\ orbit}	circumference of Earth's orbit	real	any	variable	https://en.wikipedia.org/wiki/Earth%27s_orbit	0	1	0	0	0	0
0001552	\(j\) j	index	integer	any	variable		0	0	0	0	0	0
0001567	\(i\) i	index	integer	any	variable		0	0	0	0	0	0
0001572	\(x_0\) x_0	initial position	real	any	variable		0	1	0	0	0	0
0001575	\( heta\) heta	angle	real	any	variable	https://en.wikipedia.org/wiki/Angle	0	0	0	0	0	0
0001592	\(n\) n	index	integer	any	variable		0	0	0	0	0	0
0001649	\(g\) g	acceleration due to gravity	real	any	variable	https://en.wikipedia.org/wiki/Gravity	-2	1	0	0	0	0
0001687	\(F_{\rm centripetal}\) F_{\\rm centripetal}	centripetal force	real	any	variable	https://en.wikipedia.org/wiki/Centripetal_force	-2	1	1	0	0	0
0001700	\(\hat{y}\) \hat{y}	unit vector	real	any	variable	https://en.wikipedia.org/wiki/Unit_vector	0	0	0	0	0	0
0001790	\(\gamma\) \gamma	Lorentz factor	real	any	variable	https://en.wikipedia.org/wiki/Lorentz_factor	0	0	0	0	0	0
0001791	\( heta_A\) heta_A	the fraction of the surface sites covered with A	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	0	0
0001888	\(y'\) y'	position in moving reference frame	real	any	variable	https://en.wikipedia.org/wiki/Frame_of_reference	0	1	0	0	0	0
0001900	\(d\) d		real	any	variable		0	0	0	0	0	0
0001908	\(R_{\rm total}\) R_{\\rm total}	electrical resistance	real	any	variable	https://en.wikipedia.org/wiki/Electrical_resistance_and_conductance	-1	2	1	-2	0	0
0001934	\(v_{\rm initial}\) v_{\\rm initial}	initial velocity	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0001939	\(b\) b		real	any	variable		0	0	0	0	0	0
0001943	\(d\) d	displacement	real	any	variable	https://en.wikipedia.org/wiki/Displacement_(geometry)	0	1	0	0	0	0
0001955	\(KE_1\) KE_1	kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	-2	2	1	0	0	0
0001958	\(n_2\) n_2	index of refraction for material 2	real	any	variable	https://en.wikipedia.org/wiki/Refractive_index	0	0	0	0	0	0
0001966	\(r_{\rm desorption}\) r_{\\rm desorption}	rate of desorption	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	-1	0	0	0	0	0
0001999	\(e\) e	charge of an electron	real	any	constant	https://en.wikipedia.org/wiki/Elementary_charge	0	0	0	1	0	0
0002046	\(\vec{p}\) \vec{p}	momentum	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0002069	\(\vec{H}\) \vec{H}	magnetic field	real	any	variable	https://en.wikipedia.org/wiki/Magnetic_field	0	0	0	0	0	0
0002077	\(v\) v	longitudinal speed of sound in condensed matter	real	any	variable	https://en.wikipedia.org/wiki/Speed_of_sound	-1	1	0	0	0	0
0002090	\(\| \psi_{eta} \rangle\) \| \psi_{eta} \\rangle	ket	complex	any	variable	https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation	0	0	0	0	0	0
0002097	\(\vec{p}_2\) \vec{p}_2	momentum 2	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0002241	\(E\) E	bonding energy	real	any	variable		0	0	0	0	0	0
0002243	\( heta_{\rm refracted}\) heta_{\\rm refracted}	refracted angle	real	any	variable		0	0	0	0	0	0
0002321	\(\omega\) \omega	angular frequency	real	any	variable	https://en.wikipedia.org/wiki/Angular_frequency	-1	0	0	0	0	0
0002380	\(\hat{x}_m\) \hat{x}_m	mth unit vector	real	any	variable		0	0	0	0	0	0
0002423	\(\vec{a}\) \vec{a}	acceleration	real	any	variable		-2	1	0	0	0	0
0002427	\(a_{\alpha}\) a_{\alpha}	none	complex	any	variable	https://en.wikipedia.org/wiki/Quantum_mechanics	0	0	0	0	0	0
0002435	\(I_{\rm incoherent}\) I_{\\rm incoherent}	intensity of incoherent waves	real	any	variable	https://en.wikipedia.org/wiki/Intensity_(physics)	-3	0	1	0	0	0
0002467	\(t_f\) t_f	final time	real	any	variable		1	0	0	0	0	0
0002473	\(v_1\) v_1	velocity 1	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0002515	\(m_e\) m_e	mass of electron	real	any	constant	https://en.wikipedia.org/wiki/Electron	0	0	1	0	0	0
0002523	\(W\) W	width	real	any	variable		0	1	0	0	0	0
0002530	\(r\) r	radius	real	any	variable	https://en.wikipedia.org/wiki/Radius	0	1	0	0	0	0
0002718	\(\exp\) \exp	e	real	any	constant	https://en.wikipedia.org/wiki/E_(mathematical_constant)	0	0	0	0	0	0
0002798	\(d_2\) d_2	distance	real	any	variable	https://en.wikipedia.org/wiki/Distance	0	1	0	0	0	0
0002834	\(n\) n	amount of substance	real	any	variable	https://en.wikipedia.org/wiki/Amount_of_substance	0	0	0	0	0	0
0002851	\(k_{\rm Debye}\) k_{\\rm Debye}	Debye wavevector	real	any	variable	https://en.wikipedia.org/wiki/Debye_model	0	0	0	0	0	0
0002867	\(F_{\rm gravity}\) F_{\\rm gravity}	force due to gravity	real	any	variable	https://en.wikipedia.org/wiki/Gravity	-2	1	1	0	0	0
0002875	\(r_{\rm Bohr}\) r_{\\rm Bohr}	Bohr radius	real	any	constant	https://en.wikipedia.org/wiki/Debye_model	0	1	0	0	0	0
0002911	\(\vec{x}\) \vec{x}	position	vector	any	variable		0	1	0	0	0	0
0002941	\(n_1\) n_1	index of refraction for material 1	real	any	variable	https://en.wikipedia.org/wiki/Refractive_index	0	0	0	0	0	0
0002958	\(v_{0, x}\) v_{0, x}	initial velocity along x axis	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0003033	\(G\) G	shear modulus	real	any	variable	https://en.wikipedia.org/wiki/Shear_modulus	-2	-1	1	0	0	0
0003034	\(C\) C	circumference	real	any	variable	https://en.wikipedia.org/wiki/Circumference	0	1	0	0	0	0
0003037	\([S_0]\) [S_0]	total number of sites	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	1	0
0003141	\(\pi\) \pi	pi	real	any	constant		0	0	0	0	0	0
0003192	\(Z\) Z	none	complex	any	variable	https://farside.ph.utexas.edu/teaching/315/Waveshtml/node88.html	0	0	0	0	0	0
0003236	\(r_{\rm Earth}\) r_{\\rm Earth}	radius of Earth	real	any	constant	https://en.wikipedia.org/wiki/Earth_radius	0	1	0	0	0	0
0003285	\(A\) A	atomic mass	real	any	variable	https://en.wikipedia.org/wiki/Atomic_mass	0	0	1	0	0	0
0003410	\(h\) h	none	real	any	variable		0	0	0	0	0	0
0003434	\(\Omega\) \Omega	number of microscopic configurations (known as microstates) that are consistent with the macroscopic quantities that characterize the system	real	any	variable	https://en.wikipedia.org/wiki/Microstate_(statistical_mechanics)	0	0	0	0	0	0
0003461	\(R_2\) R_2	electrical resistance	real	any	variable	https://en.wikipedia.org/wiki/Electrical_resistance_and_conductance	-1	2	1	-2	0	0
0003474	\(\epsilon\) \epsilon	Levi-Civita	real	any	variable	https://en.wikipedia.org/wiki/Levi-Civita_symbol	0	0	0	0	0	0
0003509	\( heta_1\) heta_1	angle	real	any	variable	https://en.wikipedia.org/wiki/Angle	0	0	0	0	0	0
0003569	\(m_{\rm satellite}\) m_{\\rm satellite}	mass of satellite	real	any	variable	https://en.wikipedia.org/wiki/Mass	0	0	1	0	0	0
0003652	\(x_f\) x_f	final position on x axis	real	any	variable		0	1	0	0	0	0
0003852	\(x_1\) x_1	position 1	real	any	variable		0	1	0	0	0	0
0003935	\(\rho\) \\rho	density	real	any	variable	https://en.wikipedia.org/wiki/Density	0	-3	1	0	0	0
0003978	\(I_1\) I_1	electric current	real	any	variable	https://en.wikipedia.org/wiki/Electric_current	-1	0	0	1	0	0
0003981	\(h\) h	index	integer	any	variable		0	0	0	0	0	0
0004037	\(x\) x	position	real	any	variable	https://en.wikipedia.org/wiki/Position_(geometry)	0	1	0	0	0	0
0004065	\(\langle \psi\|\) \langle \psi\|	bra	complex	any	variable	https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation	0	0	0	0	0	0
0004082	\(v_{\rm satellite}\) v_{\\rm satellite}	velocity of satellite	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0004093	\(PE_1\) PE_1	kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Potential_energy	-2	2	1	0	0	0
0004121	\(KE_{\rm initial}\) KE_{\\rm initial}	initial kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	0	0	0	0	0	0
0004183	\(F_{\rm{spring}}\) F_{\\rm{spring}}	force of a spring	real	any	variable	https://en.wikipedia.org/wiki/Hooke%27s_law	-2	1	1	0	0	0
0004200	\(f\) f		real	any	variable		0	0	0	0	0	0
0004201	\(f\) f	frequency	real	any	variable	https://en.wikipedia.org/wiki/Frequency	-1	0	0	0	0	0
0004202	\(F\) F	force	real	any	variable	https://en.wikipedia.org/wiki/Force	-2	1	1	0	0	0
0004221	\(u\) u		real	any	variable		0	0	0	0	0	0
0004231	\(c\) c		real	any	variable		0	0	0	0	0	0
0004291	\(g\) g		real	any	variable		0	0	0	0	0	0
0004299	\(\vec{p}_{\rm electron}\) \vec{p}_{\\rm electron}	momentum of electron	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0004306	\(z'\) z'	position in moving reference frame	real	any	variable	https://en.wikipedia.org/wiki/Frame_of_reference	0	1	0	0	0	0
0004326	\(\vec{E}\) \vec{E}	electric field	complex	any	variable	https://en.wikipedia.org/wiki/Electric_field	0	0	0	0	0	0
0004413	\(h\) h	Planck's constant	real	any	variable	https://en.wikipedia.org/wiki/Planck_constant	-1	2	1	0	0	0
0004453	\(A\) A	none	complex	any	variable	https://farside.ph.utexas.edu/teaching/315/Waveshtml/node88.html	0	0	0	0	0	0
0004501	\(I\) I	electric current	real	any	variable	https://en.wikipedia.org/wiki/Electric_current	-1	0	0	1	0	0
0004518	\(r_{\rm Schwarzschild}\) r_{\\rm Schwarzschild}	Schwarzschild radius; event horizon	real	any	variable	https://en.wikipedia.org/wiki/Schwarzschild_radius	0	1	0	0	0	0
0004550	\(E_2\) E_2	energy 2	real	any	variable		-2	2	1	0	0	0
0004567	\(c\) c	speed of light in vacuum	real	any	constant	https://en.wikipedia.org/wiki/Speed_of_light and https://www.wikidata.org/wiki/Q2111 and https://id.loc.gov/authorities/subjects/sh85076878.html	-1	1	0	0	0	0
0004568	\(t_0\) t_0	time 0	real	any	variable		1	0	0	0	0	0
0004610	\(\mu_T\) \mu_T	isothermal Joule-Thomson coefficient	real	any	variable	https://en.wikipedia.org/wiki/Joule%E2%80%93Thomson_effect	0	0	0	0	0	0
0004621	\(i\) i	imaginary unit	imaginary	any	variable	https://en.wikipedia.org/wiki/Imaginary_unit	0	0	0	0	0	0
0004635	\(v_u\) v_u	upper limit on velocity in condensed matter	real	any	constant	https://arxiv.org/pdf/2004.04818.pdf	-1	1	0	0	0	0
0004645	\(\kappa_T\) \kappa_T	coefficient of isothermal compressibility	real	any	variable		0	0	0	0	0	0
0004679	\(\langle \psi_{\alpha} \|\) \langle \psi_{\alpha} \|	bra	complex	any	variable	https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation	0	0	0	0	0	0
0004686	\(\alpha\) \alpha	expansion coefficient	real	any	variable	https://en.wikipedia.org/wiki/Thermal_expansion	0	0	0	0	0	-1
0004691	\(V_{\rm total}\) V_{\\rm total}	voltage	real	any	variable	https://en.wikipedia.org/wiki/Voltage	-2	2	1	-1	0	0
0004698	\(B\) B	none	complex	any	variable	https://farside.ph.utexas.edu/teaching/315/Waveshtml/node88.html	0	0	0	0	0	0
0004711	\(dt\) dt	differential time	real	any	variable		1	0	0	0	0	0
0004770	\(v_2\) v_2	velocity 2	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0004851	\(m_2\) m_2	mass	real	any	variable	https://en.wikipedia.org/wiki/Mass	0	0	1	0	0	0
0004856	\(I_2\) I_2	electric current	real	any	variable	https://en.wikipedia.org/wiki/Electric_current	-1	0	0	1	0	0
0004928	\( heta_{\rm Brewster}\) heta_{\\rm Brewster}	Brewster's angle	real	any	variable	https://en.wikipedia.org/wiki/Brewster%27s_angle	0	0	0	0	0	0
0004929	\(KE\) KE	kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	-2	2	1	0	0	0
0004930	\(PE\) PE	potential energy	real	any	variable	https://en.wikipedia.org/wiki/Potential_energy	-2	2	1	0	0	0
0004931	\(E\) E	energy	real	any	variable	https://en.wikipedia.org/wiki/Energy and https://www.wikidata.org/wiki/Q11379 and https://schema.org/Energy	-2	2	1	0	0	0
0004933	\(K_{\rm equilibrium}\) K_{\\rm equilibrium}	constant for equilibrium when rate of adsorption equals the rate of desorption	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	0	0
0004940	\([A_{\rm adsorption}]\) [A_{\\rm adsorption}]	surface concentration of A in molecules per square meter	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	2	0	0	1	0
0004989	\(t'\) t'	time in moving reference frame	real	any	variable		1	0	0	0	0	0
0005005	\(d v_x\) d v_x	differential velocity along x axis	real	any	variable		-1	1	0	0	0	0
0005022	\(m_1\) m_1	mass	real	any	variable	https://en.wikipedia.org/wiki/Mass	0	0	1	0	0	0
0005153	\(v_0\) v_0	initial velocity	real	any	variable		-1	1	0	0	0	0
0005156	\(m\) m	mass	real	any	variable	https://en.wikipedia.org/wiki/Mass and https://www.wikidata.org/wiki/Q11423 and https://schema.org/Mass	0	0	1	0	0	0
0005177	\(v\) v	none	real	any	variable		0	0	0	0	0	0
0005321	\(k\) k	angular wavenumber	real	any	variable	https://en.wikipedia.org/wiki/Wavenumber	0	-1	0	0	0	0
0005332	\(KE_{\rm escape}\) KE_{\\rm escape}	kinetic energy of escape velocity	real	any	variable		-2	2	1	0	0	0
0005340	\(KE_{\rm final}\) KE_{\\rm final}	final kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	0	0	0	0	0	0
0005344	\(t_{\rm Earth\ orbit}\) t_{\\rm Earth\ orbit}	time of Earth's orbit around sun	real	any	variable		1	0	0	0	0	0
0005456	\(x'\) x'	position in moving reference frame	real	any	variable	https://en.wikipedia.org/wiki/Frame_of_reference	0	1	0	0	0	0
0005458	\(m_{\rm Earth}\) m_{\\rm Earth}	mass of Earth	real	any	constant	https://en.wikipedia.org/wiki/Earth	0	0	2	0	0	0
0005467	\(x_2\) x_2	position 2	real	any	variable		0	1	0	0	0	0
0005480	\(\pi_T\) \pi_T	internal pressure at constant temperature	real	any	variable	https://en.wikipedia.org/wiki/Internal_pressure	-2	1	1	0	0	0
0005493	\(\vec{p}_{\rm after}\) \vec{p}_{\\rm after}	momentum after collision	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0005505	\(v_x\) v_x	velocity along x axis	real	any	variable		-1	1	0	0	0	0
0005563	\(t_i\) t_i	initial time	real	any	variable		1	0	0	0	0	0
0005579	\(E_1\) E_1	energy 1	real	any	variable		-2	2	1	0	0	0
0005595	\(T_{\rm geostationary\ orbit}\) T_{\\rm geostationary\ orbit}	geostationary orbital period	real	any	variable	https://en.wikipedia.org/wiki/Orbital_period	1	0	0	0	0	0
0005598	\(\hat{A}\) \hat{A}	observerable operator	real	any	variable	https://en.wikipedia.org/wiki/Operator_(physics)	0	0	0	0	0	0
0005647	\(y\) y	position	real	any	variable	https://en.wikipedia.org/wiki/Position_(geometry)	0	1	0	0	0	0
0005674	\(d v_y\) d v_y	differential velocity along y axis	real	any	variable		-1	1	0	0	0	0
0005734	\(\Delta KE\) \Delta KE	change in kinetic energy	real	any	variable	https://en.wikipedia.org/wiki/Kinetic_energy	0	0	0	0	0	0
0005786	\(U\) U	internal energy	real	any	variable	https://en.wikipedia.org/wiki/Internal_energy	-2	2	1	0	0	0
0005842	\(dy\) dy	differential displacement along y axis	real	any	variable		0	1	0	0	0	0
0005854	\(a\) a	atomic separation	real	any	variable		0	1	0	0	0	0
0005916	\(m_p\) m_p	mass of proton	real	any	constant	https://en.wikipedia.org/wiki/Proton	0	0	1	0	0	0
0006022	\(N_A\) N_A	Avagadro's constant	real	any	constant	https://en.wikipedia.org/wiki/Avogadro_constant	0	0	0	0	-1	0
0006029	\(\vec{p}_1\) \vec{p}_1	momentum 1	real	any	variable	https://en.wikipedia.org/wiki/Momentum	-1	1	1	0	0	0
0006081	\(r_{\rm Earth\ orbit}\) r_{\\rm Earth\ orbit}	radius of Earth's orbit	real	any	constant	https://en.wikipedia.org/wiki/Earth%27s_orbit	0	1	0	0	0	0
0006091	\(\vec{v}_0\) \vec{v}_0	initial velocity	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0006191	\(W_{\rm by\ system}\) W_{\\rm by\ system}	work done by system	real	any	variable	https://en.wikipedia.org/wiki/Work_(physics)	-2	2	1	0	0	0
0006197	\(\mu_0\) \mu_0	vacuum permeability, permeability of free space, permeability of vacuum, or magnetic constant	real	any	constant	https://en.wikipedia.org/wiki/Vacuum_permeability	0	1	1	-2	0	0
0006235	\(f\) f	proportionality constant	real	any	variable		0	0	0	0	0	0
0006238	\(E\) E	electric field	real	any	variable	https://en.wikipedia.org/wiki/Electric_field	0	0	0	0	0	0
0006277	\(G\) G	gravitational constant	real	any	constant	https://en.wikipedia.org/wiki/Gravitational_constant	-2	3	-1	0	0	0
0006373	\(\vec{v}\) \vec{v}	velocity	real	any	variable		-1	1	0	0	0	0
0006431	\(PE_{\rm Earth\ surface}\) PE_{\\rm Earth\ surface}	potential energy at the Earth's surface	real	any	variable		-2	2	1	0	0	0
0006458	\(R\) R	electrical resistance	real	any	variable	https://en.wikipedia.org/wiki/Electrical_resistance_and_conductance	-1	2	1	-2	0	0
0006599	\(V\) V	voltage	real	any	variable	https://en.wikipedia.org/wiki/Voltage	-2	2	1	-1	0	0
0006682	\(C_V\) C_V	heat capacity at constant volume	real	any	variable	https://en.wikipedia.org/wiki/Heat_capacity	-2	2	1	0	0	-1
0006687	\(r_{\rm adsorption}\) r_{\\rm adsorption}	rate of adsorption	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	-1	0	0	0	0	0
0006694	\(dv\) dv	differential of v	real	any	variable		0	0	0	0	0	0
0006709	\(v_{\rm average}\) v_{\\rm average}	velocity average	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0006722	\(du\) du	differential of u	real	any	variable		0	0	0	0	0	0
0006728	\(z\) z	position	real	any	variable	https://en.wikipedia.org/wiki/Position_(geometry)	0	1	0	0	0	0
0006777	\(\vec{F}\) \vec{F}	force	real	any	variable	https://en.wikipedia.org/wiki/Force and https://www.wikidata.org/wiki/Q11402	0	0	0	0	0	0
0006789	\(W\) W	work	real	any	variable	https://en.wikipedia.org/wiki/Work_(physics)	-2	2	1	0	0	0
0006799	\({\cal H}\) {\cal H}	operator	complex	any	variable	https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)	0	0	0	0	0	0
0006850	\(k_{\rm adsorption}\) k_{\\rm adsorption}	constant of forward adsorption reaction	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	0	0
0007055	\(a_y\) a_y	acceleration along y axis	real	any	variable	https://en.wikipedia.org/wiki/Acceleration	-2	1	0	0	0	0
0007092	\(y_f\) y_f	final position on y axis	real	any	variable		0	1	0	0	0	0
0007110	\(r_{\rm geostationary\ orbit}\) r_{\\rm geostationary\ orbit}	geostationary orbital radius	real	any	variable	https://en.wikipedia.org/wiki/Geostationary_orbit	0	1	0	0	0	0
0007159	\(a_x\) a_x	acceleration along x axis	real	any	variable	https://en.wikipedia.org/wiki/Acceleration	-2	1	0	0	0	0
0007343	\(T\) T	temperature	real	any	variable	https://en.wikipedia.org/wiki/Temperature	0	0	0	0	0	1
0007394	\(\vec{k}\) \vec{k}	wavenumber	real	any	variable	https://en.wikipedia.org/wiki/Wavenumber	0	-1	0	0	0	0
0007427	\(v_{\rm Earth\ orbit}\) v_{\\rm Earth\ orbit}	velocity of Earth's orbit around sun	real	any	variable		-1	1	0	0	0	0
0007545	\( heta_2\) heta_2	angle	real	any	variable	https://en.wikipedia.org/wiki/Angle	0	0	0	0	0	0
0007557	\(g_{\rm Earth}\) g_{\\rm Earth}	average acceleration due to gravity on Earth	real	any	constant	https://en.wikipedia.org/wiki/Gravity_of_Earth	-2	1	0	0	0	0
0007586	\(V\) V	volume	real	any	variable	https://en.wikipedia.org/wiki/Volume_(thermodynamics)	0	3	0	0	0	0
0007652	\(d_1\) d_1	distance	real	any	variable	https://en.wikipedia.org/wiki/Distance	0	1	0	0	0	0
0007752	\(a_{eta}\) a_{eta}	none	complex	any	variable	https://en.wikipedia.org/wiki/Quantum_mechanics	0	0	0	0	0	0
0007882	\(I\) I	intensity	real	any	variable	https://en.wikipedia.org/wiki/Intensity_(physics)	-3	0	1	0	0	0
0007930	\(m\) m	index	integer	any	variable		0	0	0	0	0	0
0007940	\(\epsilon_0\) \epsilon_0	vacuum permittivity, permittivity of free space or electric constant or the distributed capacitance of the vacuum	real	any	constant	https://en.wikipedia.org/wiki/Vacuum_permittivity	2	-3	-1	2	0	0
0007984	\(i\) i	index	integer	any	variable		0	0	0	0	0	0
0008039	\(H\) H	enthalpy	real	any	variable	https://en.wikipedia.org/wiki/Enthalpy	-2	2	1	0	0	0
0008134	\(P\) P	pressure	real	any	variable	https://en.wikipedia.org/wiki/Pressure	-2	-1	1	0	0	0
0008179	\(R\) R	ideal gas constant	real	any	constant	https://en.wikipedia.org/wiki/Gas_constant	-2	2	1	0	-1	-1
0008251	\(I_{\rm coherent}\) I_{\\rm coherent}	intensity of coherent waves	real	any	variable	https://en.wikipedia.org/wiki/Intensity_(physics)	-3	0	1	0	0	0
0008257	\(V_1\) V_1	voltage	real	any	variable	https://en.wikipedia.org/wiki/Voltage	-2	2	1	-1	0	0
0008304	\(l\) l	index	integer	any	variable		0	0	0	0	0	0
0008330	\(\psi_0\) \psi_0	amplitude of wavefunction	complex	any	variable		0	0	0	0	0	0
0008339	\(\hat{x}\) \hat{x}	unit vector	real	any	variable	https://en.wikipedia.org/wiki/Unit_vector	0	0	0	0	0	0
0008349	\(\hat{x}_i\) \hat{x}_i	ith unit vector	real	any	variable		0	0	0	0	0	0
0008379	\(k_{\rm desorption}\) k_{\\rm desorption}	constant of backward desorption reaction	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	0	0
0008586	\(\phi\) \phi	angle	real	any	variable	https://en.wikipedia.org/wiki/Angle	0	0	0	0	0	0
0008656	\(v_{\rm escape}\) v_{\\rm escape}	escape velocity	real	any	variable	https://en.wikipedia.org/wiki/Escape_velocity	-1	1	0	0	0	0
0008697	\(R_1\) R_1	electrical resistance	real	any	variable	https://en.wikipedia.org/wiki/Electrical_resistance_and_conductance	-1	2	1	-2	0	0
0008721	\(V_2\) V_2	voltage	real	any	variable	https://en.wikipedia.org/wiki/Voltage	-2	2	1	-1	0	0
0008762	\(T_{\rm orbit}\) T_{\\rm orbit}	orbital period	real	any	variable	https://en.wikipedia.org/wiki/Orbital_period	1	0	0	0	0	0
0008849	\(PE_2\) PE_2	potential energy	real	any	variable	https://en.wikipedia.org/wiki/Potential_energy	-2	2	1	0	0	0
0008909	\(v_{\rm final}\) v_{\\rm final}	final velocity	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0009046	\(p_A\) p_A	partial pressure of A over the surface	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	0	0	0	0	0
0009067	\([S]\) [S]	concentration of free sites in number per square meter	real	any	variable	https://en.wikipedia.org/wiki/Langmuir_adsorption_model	0	-2	0	0	1	0
0009107	\(v_y\) v_y	velocity along y axis	real	any	variable		-1	1	0	0	0	0
0009139	\(a\) a		real	any	variable		0	0	0	0	0	0
0009140	\(a\) a	acceleration	real	any	variable		-2	1	0	0	0	0
0009189	\(\omega_{\rm Debye}\) \omega_{\\rm Debye}	Debye frequency	real	any	variable	https://en.wikipedia.org/wiki/Debye_model#Debye_frequency	0	0	0	0	0	0
0009199	\(dx\) dx		real	any	variable		0	1	0	0	0	0
0009329	\(\|\psi \rangle\) \|\psi \\rangle	ket	complex	any	variable	https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation	0	0	0	0	0	0
0009372	\(W_{\rm to\ system}\) W_{\\rm to\ system}	work done to system	real	any	variable	https://en.wikipedia.org/wiki/Work_(physics)	-2	2	1	0	0	0
0009398	\(dW\) dW	differential work	real	any	variable		-2	2	1	0	0	0
0009431	\(v_{0, y}\) v_{0, y}	initial velocity along y axis	real	any	variable	https://en.wikipedia.org/wiki/Velocity	-1	1	0	0	0	0
0009432	\(Q\) Q	heat flow	real	any	variable	https://en.wikipedia.org/wiki/Heat	-2	2	1	0	0	0
0009472	\(\vec{r}\) \vec{r}	radius vector	real	any	variable		0	1	0	0	0	0
0009489	\(\psi\) \psi	none	complex	any	variable		0	0	0	0	0	0
0009491	\(T\) T	period	real	any	variable		1	0	0	0	0	0
0009647	\(I_{\rm total}\) I_{\\rm total}	electric current	real	any	variable	https://en.wikipedia.org/wiki/Electric_current	-1	0	0	1	0	0
0009669	\(\delta\) \delta	Kronecker delta	real	any	variable	https://en.wikipedia.org/wiki/Kronecker_delta	0	0	0	0	0	0
0009690	\(k\) k	index	integer	any	variable		0	0	0	0	0	0
0009838	\(E_{\rm Rydberg}\) E_{\\rm Rydberg}	Rydberg energy	real	any	variable	https://en.wikipedia.org/wiki/Rydberg_constant	0	0	0	0	0	0
0009843	\(\mu_{JT}\) \mu_{JT}	Joule-Thomson coefficient	real	any	variable	https://en.wikipedia.org/wiki/Joule%E2%80%93Thomson_effect#The_Joule%E2%80%93Thomson_(Kelvin)_coefficient	2	1	-1	0	0	1
0009863	\(m\) m	mass of atom or molecule	real	any	variable	https://en.wikipedia.org/wiki/Mass	0	0	1	0	0	0
0009885	\(A\) A	amplitude	real	any	variable	https://en.wikipedia.org/wiki/Amplitude	0	0	0	0	0	0

Actions for Scalar Symbols

add new scalar symbol

timing of Neo4j queries:

0.09 seconds for pdg_app/to_list_scalars: list_nodes_of_type scalar5521233
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3596634
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3596634
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3596634
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3596634
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6207022
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6207022
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector6207022
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix6207022
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3754829
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3754829
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3754829
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3754829
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2107194
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2107194
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2107194
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2107194
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation7776361
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar7776361
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector7776361
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix7776361
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1580037
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1580037
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1580037
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix1580037
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9627319
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9627319
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9627319
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9627319
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2880744
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2880744
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2880744
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2880744
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9682793
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9682793
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9682793
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9682793
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8283869
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8283869
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8283869
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8283869
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3218496
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3218496
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3218496
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3218496
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5185233
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5185233
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5185233
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5185233
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8640922
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8640922
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8640922
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8640922
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3189312
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3189312
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3189312
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3189312
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5255805
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5255805
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5255805
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5255805
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9672092
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9672092
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9672092
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9672092
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation7954271
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar7954271
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector7954271
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix7954271
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8060194
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8060194
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8060194
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8060194
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2485921
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2485921
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2485921
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2485921
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2438997
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2438997
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2438997
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2438997
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8657807
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8657807
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8657807
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8657807
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2210038
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2210038
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2210038
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2210038
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3181859
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3181859
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3181859
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3181859
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5439337
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5439337
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5439337
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5439337
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2778112
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2778112
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2778112
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2778112
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9470542
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9470542
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2956767
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2956767
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2956767
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2956767
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6977630
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6977630
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2950180
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2950180
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5923781
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0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5477846
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5477846
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5477846
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3718190
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3718190
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3718190
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1302665
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1302665
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation7554161
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar7554161
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix7554161
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9852823
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9852823
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0.017 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4762507
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0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1267197
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2305720
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2305720
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2305720
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2305720
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5444033
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5444033
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5444033
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5444033
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8315375
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8315375
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8315375
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8315375
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9537864
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9537864
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9537864
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9537864
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1178031
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1178031
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1178031
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix1178031
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2726843
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2726843
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2726843
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2726843
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2357396
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2357396
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2790678
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2790678
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2790678
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3837394
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3837394
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0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3145783
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3145783
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3145783
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3145783
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1712983
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1712983
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1712983
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0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3971465
0.012 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3971465
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3971465
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3971465
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2552003
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2552003
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2552003
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8959575
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0.017 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6172931
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2993568
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6331669
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0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector7430597
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0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8216966
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0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation7187950
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8330829
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3108491
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3108491
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0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6759546
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6759546
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector6759546
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix6759546
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3466249
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3466249
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8379133
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8379133
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0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar7889517
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2153025
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2153025
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5604995
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5604995
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0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1116952
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