H
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
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