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half-angle formulas plane trigonometry, 142 spherical trigonometry, 165 half-line, notion, 128 half-side formulas, 165 Hamel basis, 599 Hamilton circuit, 353 differential equation, 815 differential equation, partial, 801, 841 function, 520, 801 system, 815 Hamiltonian, 538 Hamming distance, 604 Hankel transformation, 707 harmonic analysis, 917 harmonic, spherical first kind, 511 second kind, 512 Hasse diagram, 298 heat conduction equation one-dimensional, 529, 723 three-dimensional, 537 Heaviside expansion theorem, 719 function, 641, 697 unit step function, 714, 1084 helix, 242 Helmholtz, differential equation, 540 Henon mapping, 798, 812 Hermite differential equation, 514 polynomial, 514, 545 trapezoidal formula, 900 Hessian matrix, 869 normal form line equation, plane, 195 plane equation, space, 214 hexadecimal number, 937 system, 937 Hilbert boundary value problem, 593 homogeneous, 593 inhomogeneous, 594 matrix, 989 space, 615 isomorphic, 618 pre-Hilbert space, 615 scalar product, 615 histogram, statistics, 772 hodograph, vector function, 642 Holder condition, 591 continuity, 591 inequality, 32 integrals, 32 series, 32 Holladay, theorem, 932 holoedry, 311 homeomorphism and topological equivalence, 810 conjugate, 813 orientation preserving, 843 homomorphism, 302, 341 algebra, 614 groups, 302 linear operators, 600 natural, 302, 314 ring, 314 theorem, 341 groups, 302 ring, 314 vector lattice, 603 Hopf bifurcation, 831 Hopf-Landau model, turbulence, 841 Horner rule, 938 scheme, 887, 938 two rows, 888 horseshoe mapping, 827 Householder method, 278, 921 tridiagonalization, 283 l'Huilier equations, 167 hull convex, 599 linear, 597 Hungarian method. 860 hyperbola, 200 arc, 203 area, 202 asymptote, 201 binomial, 69 conjugate, 202 diameter, 202 equation, 200 equilateral, 64, 203 focal properties, 200 focus, 200 radius of curvature, 202 segment, 202 semifocal chord, 200 tangent, 201 transformation, 205 vertex, 200 hyperbolic cosecant, 87 cosine, 87 cotangent, 87 secant, 87 sine, 87 tangent, 87 hyperbolic function, 699 geometric definition, 131 inverse, complex, 699 hyperboloid, 220 one sheet, 220, 222 central surface, 224 two sheets, 220 central surface, 224 hyperplane, 625 of support, 626 hypersubspace, 625 hyp ersurface, 117 hypocycloid, 102 curtate, 102 prolate, 102 hypotenuse, 130 hypothesis testing, 779 hypotrochoid, 102