symbols: p_d Ef epsilon theta r

symbol_descs: the electric constant or permittivity of the medium

symbol_descs: the angle between the dipole axis and the position vector

symbol_descs: the distance from the dipole to the point where the electric field is being measured

symbol_properties: O V V V V


symbols: p_d Ef epsilon r x y z

symbol_descs: the electric constant (permittivity of free space)

symbol_descs: the distance from the dipole to the point where the field is being measured

symbol_descs: the x-coordinate of the point where the field is being measured

symbol_descs: the y-coordinate of the point where the field is being measured

symbol_descs: the z-coordinate of the point where the field is being measured

symbol_properties: O V V V V V V


symbols: H f mom kb T alpha epsilon c M

symbol_descs: the polarizability of a medium or molecule

symbol_properties: O V V V V V V V V

expression: M*alpha/(c**2*epsilon) + T*f*kb/mom


symbol_descs: the normal component of the electric field at the surface

symbol_descs: the angle between the dipole moment and the external electric field

symbol_properties: O V V V


symbols: v E_n m c

symbol_descs:
the object's velocity
the total energy of an object
the relativistic mass of an object
the speed of light


symbols: B M n_rho mom kb T

symbol_descs:
the magnetic field strength
the magnetization of a material
the density of magnetic moments
the magnetic moment of a particle
the Boltzmann constant
the temperature in Kelvin

symbol_properties: O V V V V V

expression: T*kb*log(sqrt(-(M + mom*n_rho)/(M - mom*n_rho)))/mom


symbols: n_0 n kb T mom B

symbol_descs: the number of particles in a given state


symbols: E_n m h d

symbol_descs: the mass of a particle in a quantum mechanical system

symbol_descs: the width or distance between the boundaries of the quantum well


symbols: r Ef epsilon p_d x y z


symbol_descs: the velocity of the object or frame of reference

symbol_descs: the critical density of the universe at a given velocity

symbol_descs: the critical density of the universe at rest


symbol_descs: the displacement from the equilibrium position

symbol_descs: the quantum mechanical energy of the nth state

symbol_descs: the angular frequency of the perturbation


symbols: a Pwr q epsilon c

symbol_descs: the acceleration of the charged particle

symbol_descs: the electric constant or permittivity of free space


symbols: q Pwr a epsilon c


symbols: p_d prob Ef t h omega omega_0

symbol_descs: the transition probability of an atomic system

symbol_descs: the amplitude of the external electric field

symbol_descs: the interaction time between the atomic system and the external field

symbol_descs: the resonant frequency of the atomic transition

expression: h*prob*t*(omega - omega_0)**2/(4*pi*Ef*(1 - cos(t*(omega - omega_0))))


symbols: q E_n m h n epsilon

symbol_descs: the electric constant (permittivity of free space)


symbols: Ef E_den epsilon

symbol_descs:
the electric field strength
the energy density
the electric permittivity

symbol_properties: O V V


symbols: mom E_n B chi

symbol_descs:
the magnetic moment
the nth energy level
the magnetic field strength
the magnetic susceptibility


symbols: gamma kappa kb A v

symbol_descs:
the adiabatic index
the isentropic expansion factor
Boltzmann's constant
a constant area
the velocity

expression: 1 + kb*v/(A*kappa)


symbols: omega k c d

symbol_descs: the diameter or thickness of the waveguide or medium


symbols: M f mom H kb T alpha epsilon c

symbol_descs: the polarizability of a medium or molecule


symbols: omega_0 x q Ef m omega

symbol_descs: the natural angular frequency of the oscillation

symbol_descs: the displacement of an object from its equilibrium position

symbol_descs: the angular frequency of the external force

expression: sqrt(Ef*q/(m*x) + omega**2)


symbols: B E_n mom theta

symbol_descs: the normal component of the electric field

symbol_descs: the angle between the magnetic moment and the magnetic field


symbols: Bx E_n mom By Bz

symbol_descs: the energy of a particle in a magnetic field


symbols: epsilon f mom H kb T alpha c M

expression: M*alpha*mom/(c**2*(H*mom - T*f*kb))


symbols: r Ef q1 epsilon

symbol_descs: the distance from the charge to the point where the electric field is being measured

symbol_descs: the charge of the object generating the electric field


symbol_descs: the quantum mechanical energy of the nth state

symbol_descs: the angular frequency of the perturbation

symbol_descs: the displacement from the equilibrium position


symbols: v kappa gamma kb A

symbol_descs:
the velocity
the isentropic expansion factor
the adiabatic index
Boltzmann's constant
a constant area

expression: A*kappa*(gamma - 1)/kb


symbols: U E_n k d

symbol_descs: the distance between potential energy wells


symbols: chi E_n mom B

symbol_descs:
the magnetic susceptibility
the nth energy level
the magnetic moment
the magnetic field strength


symbols: m mom q h

symbol_descs:
the mass of a particle
the momentum of a particle
the charge of a particle
the Planck constant


symbols: r Volt q epsilon v c

symbol_descs: the electric constant (permittivity of free space)

expression: c*q/(4*pi*Volt*epsilon*(c - v))


symbols: d k omega c

symbol_descs: the diameter or thickness of the waveguide or medium

expression: pi*c*sqrt(-1/((c*k - omega)*(c*k + omega)))


symbols: omega Pwr epsilon c Ef r omega_0

symbol_descs: the frequency of the external electric field

symbol_descs: the strength of the external electric field

symbol_descs: the radius of the scattering object or atom

symbol_descs: the natural frequency of the oscillator or resonant frequency

expression: sqrt(2*sqrt(3)*sqrt(pi)*Ef*omega_0**2*r*sqrt(Pwr*c*epsilon)/(4*pi*Ef**2*c*epsilon*r**2 - 3*Pwr) - 3*Pwr*omega_0**2/(4*pi*Ef**2*c*epsilon*r**2 - 3*Pwr))


symbols: v mom q r

symbol_descs: a factor or quantity, possibly a charge or a proportionality constant, though more context is needed for precise definition

symbol_descs: possibly the radius of a circular path or a distance, more context is needed for precise definition


symbols: Ef Pwr epsilon c r omega omega_0


symbol_descs:
the third coefficient
the resulting sum of products
the first coefficient
the second coefficient
the first variable or value
the second variable or value
the third variable or value


symbol_descs: the resultant intensity of two wave sources

symbol_descs: the phase difference between the two wave sources

expression: 2*I1*cos(delta)**2 + I1 - Int + 2*sqrt(I1*(I1*cos(delta)**2 + I1 - Int))*cos(delta)


symbols: Bz E_n mom Bx By

symbol_descs: the energy of a particle in a magnetic field


symbols: v j rho_c_0 c

symbol_descs:
the object's velocity
the current density of a charged object
the object's rest charge density
the speed of light


symbols: n Pol alpha epsilon Ef

symbol_descs: the permittivity of free space or a constant

expression: 3*Pol/(alpha*(3*Ef*epsilon + Pol))


symbol_descs:
the magnitude of the first vector
the distance between two points
the magnitude of the second vector
the angle of the first vector
the angle of the second vector

expression: x2*cos(theta1 - theta2) - sqrt(x**2 + x2**2*cos(theta1 - theta2)**2 - x2**2)


symbols: c k omega d


symbols: x Ef epsilon p_d r y z

symbol_descs: the x-coordinate of the point where the field is being measured

symbol_descs: the distance from the dipole to the point where the field is being measured

symbol_descs: the y-coordinate of the point where the field is being measured

symbol_descs: the z-coordinate of the point where the field is being measured


symbols: n L h

symbol_descs: a quantum number representing the energy level


symbols: n theta alpha

symbol_descs: the angle of incidence or a constant factor

expression: 3*(theta - 1)/(alpha*(theta - 4))


symbols: omega x q Ef m omega_0

symbol_descs: the angular frequency of the external force

symbol_descs: the displacement of an object from its equilibrium position

symbol_descs: the natural angular frequency of the oscillation

expression: sqrt(-Ef*q/(m*x) + omega_0**2)


symbol_descs: the distance between the centers of the two charges

symbol_descs: the electrostatic force between two charges

symbol_descs: the electric constant (permittivity of free space)


symbols: z Ef epsilon p_d r x y


symbols: n k alpha d

symbol_descs: the number of turns or a dimensionless quantity

symbol_descs: the spring constant or a proportionality constant

symbol_descs: a material-dependent constant or a dimensionless parameter


symbols: v p m_0 c

symbol_descs:
the object's velocity
the relativistic momentum of an object
the object's rest mass
the speed of light


symbols: d v E_n k h

symbol_descs: the distance between particles or the diameter of a nanoparticle

symbol_descs: the nth energy level of a quantum system

symbol_descs: Boltzmann's constant, relating energy to temperature

symbol_descs: the Planck constant, relating energy to frequency


symbols: mom n n_0 kb T B

symbol_descs: the number of particles in a given state


symbols: T f mom H kb alpha epsilon c M

symbol_descs: the polarizability of a medium or molecule


symbol_descs: the final distance between the two objects

symbol_descs: the initial distance between the two objects


symbols: omega_0 Pwr epsilon c Ef r omega

symbol_descs: the natural frequency of the oscillator or resonant frequency

symbol_descs: the strength of the external electric field

symbol_descs: the radius of the scattering object or atom

symbol_descs: the frequency of the external electric field


symbol_descs:
the magnitude of the second vector
the distance between two points
the magnitude of the first vector
the angle of the first vector
the angle of the second vector

expression: x1*cos(theta1 - theta2) - sqrt(x**2 + x1**2*cos(theta1 - theta2)**2 - x1**2)


symbols: alpha f beta theta

symbol_descs:
a coefficient modifying the cosine term
the resultant value of the function
a scaling factor
the angle in radians

expression: (-beta + f)/(beta*cos(theta))


symbols: y Ef epsilon p_d r x z

symbol_descs: the y-coordinate of the point where the field is being measured

symbol_descs: the electric constant (permittivity of free space)

symbol_descs: the distance from the dipole to the point where the field is being measured

symbol_descs: the x-coordinate of the point where the field is being measured

symbol_descs: the z-coordinate of the point where the field is being measured


symbol_descs:
the second variable or value
the resulting sum of products
the first coefficient
the second coefficient
the third coefficient
the first variable or value
the third variable or value


symbols: T n n_0 kb mom B


symbols: p_d Pol n_rho Ef kb T

symbol_descs:
the dipole moment of a molecule
the polarization of a medium
the density of molecules or dipoles
the external electric field strength
the Boltzmann constant
the temperature in Kelvin


symbols: Ef n n_0 kb T theta p_d

symbol_descs: the angle between the electric field and the carrier movement direction


symbol_descs:
the final volume of the gas
the energy change of an ideal gas
the number of moles of the gas
the Boltzmann constant
the temperature of the gas in Kelvin
the initial volume of the gas


symbols: mom E_n g_ h Jz B

symbol_descs: the magnetic moment of the particle or atom

symbol_descs: the z-component of the total angular momentum


symbols: Ef flux epsilon c

symbol_descs: the electric constant or permittivity of free space

expression: -sqrt(flux/(c*epsilon))


symbols: g_ E_n h Jz mom B


symbol_descs:
the first coefficient
the resulting sum of products
the second coefficient
the third coefficient
the first variable or value
the second variable or value
the third variable or value


symbols: By E_n mom Bx Bz

symbol_descs: the energy of a particle in a magnetic field


symbols: Ef E_den epsilon

symbol_descs:
the electric field strength
the energy density
the electric permittivity


symbols: p_d n n_0 kb T theta Ef

expression: T*kb*(n - n_0)/(Ef*n_0*cos(theta))


symbols: alpha f mom H kb T epsilon c M

symbol_descs: the polarizability of a medium or molecule

expression: c**2*epsilon*(H*mom - T*f*kb)/(M*mom)


symbols: r Ef epsilon p_d theta

symbol_descs: the distance from the dipole to the point where the electric field is being measured

symbol_descs: the electric constant or permittivity of the medium

symbol_descs: the angle between the dipole axis and the position vector


symbols: B E_n g_ h Jz mom


symbol_descs:
the vector potential
the current density
the charge carrier density
the elementary charge
the mass of a charge carrier


symbols: B n n_0 kb T mom

symbol_descs: the number of particles in a given state


symbols: Int_0 Int theta n

symbol_descs:
the initial intensity
the resulting intensity
the angle of diffraction
the number of slits


symbols: v m m_0 c

symbol_descs:
the object's velocity
the relativistic mass of an object
the object's rest mass
the speed of light


symbols: alpha Pol n epsilon Ef

symbol_descs: the permittivity of free space or a constant

expression: 3*Pol/(n*(3*Ef*epsilon + Pol))


symbol_descs:
the temperature of the gas in Kelvin
the energy change of an ideal gas
the number of moles of the gas
the Boltzmann constant
the initial volume of the gas
the final volume of the gas


symbols: omega_0 omega c v

symbol_descs: the object's proper angular frequency (at rest)

symbol_descs: the relativistic angular frequency of an object

expression: omega*(c - v)/c


symbol_descs: the resultant intensity of two wave sources

symbol_descs: the phase difference between the two wave sources

expression: 2*I2*cos(delta)**2 + I2 + Int + 2*sqrt(I2*(I2*cos(delta)**2 + I2 + Int))*cos(delta)


symbol_descs:
the first variable or value
the resulting sum of products
the first coefficient
the second coefficient
the third coefficient
the second variable or value
the third variable or value


symbols: Ef Pol n alpha epsilon


symbol_descs:
the mass of a charge carrier
the current density
the charge carrier density
the elementary charge
the vector potential


symbols: E_n v d k h

symbol_descs: the nth energy level of a quantum system

symbol_descs: the distance between particles or the diameter of a nanoparticle

symbol_descs: Boltzmann's constant, relating energy to temperature

symbol_descs: the Planck constant, relating energy to frequency


symbol_descs: the refractive index of the medium between the two optical components

symbol_descs: the focal length of a combination of two optical components

symbol_descs: the distance from the first optical component to the object

symbol_descs: the distance from the second optical component to the image

expression: d2/foc - d2/d1


symbols: T E_n h omega kb

symbol_descs: the energy of the nth mode of a quantum harmonic oscillator


symbol_descs:
the second coefficient
the resulting sum of products
the first coefficient
the third coefficient
the first variable or value
the second variable or value
the third variable or value


symbols: B E_n mom chi

symbol_descs:
the magnetic field strength
the nth energy level
the magnetic moment
the magnetic susceptibility


symbols: mom f H kb T alpha epsilon c M

symbol_descs: the polarizability of a medium or molecule


symbols: Ef prob p_d t h omega omega_0

symbol_descs: the amplitude of the external electric field

symbol_descs: the transition probability of an atomic system

symbol_descs: the interaction time between the atomic system and the external field

symbol_descs: the resonant frequency of the atomic transition

expression: h*prob*t*(omega - omega_0)**2/(4*pi*p_d*(1 - cos(t*(omega - omega_0))))


symbols: m x q Ef omega_0 omega

symbol_descs: the displacement of an object from its equilibrium position

symbol_descs: the natural angular frequency of the oscillation

symbol_descs: the angular frequency of the external force


symbol_descs:
the object's rest angular frequency
the relativistic angular frequency
the speed of light
the object's velocity


symbols: v Volt q epsilon r c

symbol_descs: the electric constant (permittivity of free space)

expression: c - c*q/(4*pi*Volt*epsilon*r)


symbol_descs:
the third variable or value
the resulting sum of products
the first coefficient
the second coefficient
the third coefficient
the first variable or value
the second variable or value


symbols: d k alpha n

symbol_descs: the spring constant or a proportionality constant

symbol_descs: a material-dependent constant or a dimensionless parameter

symbol_descs: the number of turns or a dimensionless quantity


symbols: Jz E_n g_ h mom B

symbol_descs: the z-component of the total angular momentum

symbol_descs: the magnetic moment of the particle or atom


symbols: r flux Pwr

symbol_descs:
the distance from the object
the radiant flux of an object
the power emitted by the object


symbols: T n n_0 kb theta p_d Ef

symbol_descs: the angle between the electric field and the carrier movement direction

expression: Ef*n_0*p_d*cos(theta)/(kb*(n - n_0))


symbols: alpha x x1 omega t

symbol_descs:
the non-linearity coefficient
the resulting displacement
the initial amplitude
the angular frequency
the time

expression: (x/cos(omega*t) - x1)/(x1*cos(omega*t))


symbols: r Pwr epsilon c Ef omega omega_0

symbol_descs: the radius of the scattering object or atom

symbol_descs: the strength of the external electric field

symbol_descs: the frequency of the external electric field

symbol_descs: the natural frequency of the oscillator or resonant frequency


symbols: n E_n m q h epsilon


symbols: g n n_0 m x T kb

symbol_descs: the density of particles at a given point

symbol_descs: the density of particles at the reference point

symbol_descs: the height or distance from the reference point


symbols: x t1 c u t

symbol_descs: the position of the event in the observer's frame

symbol_descs: the relativistic time in the observer's frame

symbol_descs: the relative velocity between the observer's frame and the object's frame

symbol_descs: the time of the event in the object's frame


symbol_descs: the normal component of the electric field at the surface

symbol_descs: the angle between the dipole moment and the external electric field


symbols: x1 x omega t alpha

symbol_descs:
the initial amplitude
the resulting displacement
the angular frequency
the time
the non-linearity coefficient


symbols: beta f alpha theta

symbol_descs:
a scaling factor
the resultant value of the function
a coefficient modifying the cosine term
the angle in radians

expression: f/(alpha*cos(theta) + 1)


symbols: n_0 n kb T theta p_d Ef

symbol_descs: the angle between the electric field and the carrier movement direction

expression: T*kb*n/(Ef*p_d*cos(theta) + T*kb)


symbol_descs: the quantum mechanical energy of the nth state

symbol_descs: the angular frequency of the perturbation

symbol_descs: the displacement from the equilibrium position


symbols: q x Ef m omega_0 omega

symbol_descs: the displacement of an object from its equilibrium position

symbol_descs: the natural angular frequency of the oscillation

symbol_descs: the angular frequency of the external force