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If n = 1 and a and b are both 0 or 1/2, then the functions θ a,b (τ,z) are the four Jacobi theta functions, and the functions θ a,b (τ,0) are the classical Jacobi theta constants. The theta constant θ 1/2,1/2 (τ,0) is identically zero, but the other three can be nonzero.
The constants listed here are known values of physical constants expressed in SI units; that is, physical quantities that are generally believed to be universal in nature and thus are independent of the unit system in which they are measured. Many of these are redundant, in the sense that they obey a known relationship with other physical ...
theta: angular displacement: radian (rad) kappa: torsion coefficient also called torsion constant newton meter per radian (N⋅m/rad) lambda: cosmological constant: per second squared (s −2) wavelength: meter (m) linear charge density: coulomb per meter (C/m) eigenvalue: non-zero vector
The torsion constant or torsion coefficient is a geometrical property of a bar's cross-section. It is involved in the relationship between angle of twist and applied torque along the axis of the bar, for a homogeneous linear elastic bar. The torsion constant, together with material properties and length, describes a bar's torsional stiffness.
This (unit sphere) simplification is also useful when dealing with objects such as rotational matrices. Spherical coordinates are also useful in analyzing systems that have some degree of symmetry about a point, including: volume integrals inside a sphere; the potential energy field surrounding a concentrated mass or charge; or global weather ...
For a lattice L in Euclidean space R n with unit covolume, i.e. vol(R n /L) = 1, let λ 1 (L) denote the least length of a nonzero element of L. Then √γ n n is the maximum of λ 1 (L) over all such lattices L.
theta functions; the angle of a scattered photon during a Compton scattering interaction; the angular displacement of a particle rotating about an axis; the Watterson estimator in population genetics; the thermal resistance between two bodies; ϑ ("script theta"), the cursive form of theta, often used in handwriting, represents
chemistry (mass of one atom divided by the atomic mass constant, 1 Da) Bodenstein number: Bo or Bd = / = Max Bodenstein: chemistry (residence-time distribution; similar to the axial mass transfer Peclet number) [2] Damköhler numbers: Da =