Index Index U Index W

Index V

vacuum magnetic fields
- toroidal functions §14.31(i)
validated computing §3.1(ii)
Van Vleck polynomials
- definition §31.15(i)
- zeros §31.15(ii)
Van Vleck’s theorem for continued fractions §1.12(v)
Vandermondian §1.3(ii)
variation of parameters
- inhomogeneous differential equations §1.13(iii)
variation of real or complex functions §1.4(v)
- bounded §1.4(v)
- total §1.4(v)
variational operator §2.3(i)
vector
- equivalent §21.6(i)
- norms §3.2(iii)
vector-valued functions §1.6—§1.6(v), see also parametrized surfaces.
- curl §1.6(iii)
- del operator §1.6(iii)
- divergence §1.6(iii)
- divergence (or Gauss’s) theorem §1.6(v)
- gradient §1.6(iii)
- Green’s theorem
  - three dimensions §1.6(v)
  - two dimensions §1.6(iv)
- line integral §1.6(iv)
- path integral §1.6(iv)
- reparametrization of integration paths
  - orientation-preserving §1.6(iv)
  - orientation-reversing §1.6(iv)
- Stokes’ theorem §1.6(v)

vectors §1.6, see also vector-valued functions.
- angle §1.6(i)
- cross product §1.6(i)
  - right-hand rule §1.6(i)
- dot product §1.6(i)
- Einstein summation convention §1.6(ii)—§1.6(ii)
- Levi-Civita symbol §1.6(ii)
- magnitude §1.6(i)
- notations §1.6, §1.6(ii)
- right-hand rule for cross products §1.6(i)
- scalar product, see dot product.
- unit §1.6(i)
- vector product, see cross product.
Verblunsky coefficients §18.33(vi)
Verblunsky’s theorem §18.33(vi)
vibrational problems
- Mathieu functions 1st item, 3rd item, §28.33(ii)
Voigt functions
- applications §7.21
- computation §7.22(iv)
- definition §7.19(i)
- graphs Figure 7.19.1, Figure 7.19.1, Figure 7.19.1, Figure 7.19.2, Figure 7.19.2, Figure 7.19.2
- properties §7.19(iii)
- relation to line broadening function §7.19(i)
- tables 2nd item
von Staudt–Clausen theorem
- Bernoulli numbers §24.10(i)
Voronoi’s congruence
- Bernoulli numbers §24.10(iii)

Index U Index W

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