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Whittaker E.T., Robinson G. — The calculus of observations
Whittaker E.T., Robinson G. — The calculus of observations

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Название: The calculus of observations

Авторы: Whittaker E.T., Robinson G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1924

Количество страниц: 394

Добавлена в каталог: 07.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel's integral equation      376
Abel, N.H.      376
Ackland, T.G.      280
Adams method of solving differential equations      363
Adams, J.O.      363
Aitken, A.O.      375
Algebraic equations      78
Alternants      380
Ampere, A.      20
Andoycr, H.      369
Argument      1
Arithmetic mean of absolute deviations      184
Arithmetic mean postulate of      215 217 321
Arithmetic mean probable error of      196 206
Asymptotic expansion of error function      181
Axioms for postulate of arithmetic mean      216
Baer, W.S.      228
Baillaud, I.S.      283
Balls, W.L.      362
Barlow, P.      94
Barycentre, symmetric      249
Bashforth, F.      363
Bateman, H.      376 381
Baycs, T.      219
Bcinstcin, F.      228
Bcssel, F.W.      39 206 224 264
Beitraud, J.      224 321 327
Berger, A.      163
Bernoulli's method of solving equations      98
Bernoulli's method of solving equations compared with root-squaring method      112
Bernoulli's polynomials      141
Bernoulli, D.      98 112 121
Bernoulli, James      138 141
Bernoullian numbers      134
Bertrand's proof of normal law for two variables      321
Bessel function      119
Bessel's formulae for probable error of arithmetic mean      206
Bessel's interpolation formula      39 47
Biavais, A      323
Biiggs, H.      2
Binomial theorem      15
Biodetsky, S.      128
Biormann, O.      372
Bockwmkel, H.B.A.      369
Borel, K      119
Brims, H.      172
Broggi, U.      216
Bromwu, B.      169
Bronwin's formula for integration      159
Brounckcr, W.      368
Brouncker's series      368
Brown, E.H.      373
Brownian motion      208
Buigess, J.      181
Buinside, W.      375
Bum, J.      373
Burnside's formula for double integrals      375
Buys-Ballot, C.H.D.      361
Carse, G.A.      360
Catalan, E.C      369
Cauchy's formula for trigonometric interpolation      282
Cauchy, A.L.      25 86 169 282 380
Cavalieri, B.      156
Central differences      35
Central-difference formula for numerical integration      146
Chebyshcf, P.L.      158
Chebyshef's formulae for integration      158
Clairaut, A.C.      263
Clasen, B.      236
Coefficient of correlation      329 335
Coefficients, Fourier      263
Coefficients, Fourier probable error of      280
Coin, frequency distribution of tosses of      176
Coincident loots of an equation      117
Collins, J.      12 79 144
Complex roots of an equation      113
Compound deviation, modulus of precision of      175
Condition, equations of      209
Conjunctive probability      317
Conservation, theorems of      307
Constituent tides      343
Contingency methods      338
Correlation      317—342
Correlation as a test for periodicity      315
Correlation coefficient      329 335
Correlation ratio      336
Cotes' assumption      322
Cotes, R.      154
Craig, J.I.      361
Cubic, numerical solution of      124
Daibishire, A.D.      330
Dale, J.B.      360
Dandelin's method of solving equations      106
DandeUn, G.P.      94 106
Dary, M.      79
Data, smoothing of      285
Davis, W.B.      61
de la Vallee-Poussrn, C.J.      259
de Moivre, A.      176
De Morgan, A.      18 80 86 106 120 130 149
Derivatives of a function      62
Derivatives of a function in terms of central differences      64
Derivatives of a function in terms of divided differences      65
Descartes, R.      123
Determinants      71
Deviation      168
Difference tables      2
Differences central      35
Differences divided      20 96 104 371
Differences in terms of derivatives      364
Differences leading      3
Differences of data, probable value of      297
Differences, for functions of two arguments      371
Differentiation, generalised      376
Direct measurements of a single quantity      220
Divided differences      20 96 104
Divided differences for functions of two arguments      371
Divided differences with repeated arguments      27
Dodd, E.L.      218
Dodgson, W.      361
Double integrals, computation of      374
Douglass, A.E.      362
d’Ocagne, M.      128 248
Edgewoith's method      259
Edgeworth, F.Y.      172 259
Encke roots      107
Equal coefficients, method of      236
Equations linear      75 231 234 236 239
Equations of condition      209
Equations reduction to linear foini      214
Equations simultaneous      88 90
Equations, algebraic and transcendental      78—131
Erlang, A.K.      203
Error function      179
Error mean      183 184
Error mean, of a determination      243
Error of mean square      183
Error probable      184
Error probable of Fourier coefficients      280
Errors      210
Errors of observation, effect on frequency curves      206
Euler — Maclaurin formula      134 140
Euler, L.      98 112 135
Everett's formula      40 46
Everett, J.D.      40
Exponentials, interpolation by      369
Faber, G.      86
Factorial Stirling's approximation to      138
Factorial, differences of      8
False position, rule of      92
Fechner's psychophysical law      217
Fechner, G.T.      217
Fidelity to data, expression of      305
Fisher, R.A.      199
Fitting inverse powers      248
Fitting normal frequency curves      186—196
Forcing of numbers      187
Format, P.      317
Forsyth, C.H.      69
Fourier analysis      260—284
Fourier, J.B.      123 169 260 263
Fraser, D.C      12 46 49 50
Fredholm's integral equation      381
Frequency distribution      164
Frequency distribution involving correlation      319
Frequency distribution, not normal      173 334
Frequency function, approximation to      171
Frequency general law of      172 324
Frewin, G.L.      375
Function      1
Function given as series, roots of      118
Function interpolatory      20
Galton's quincunx      167
Galton, F.      167 184
Gauss and Seidel's solving process      255
Gauss' formulae for integration      159
Gauss' formulae for interpolation (trigonometric)      283
Gauss' formulae of interpolation      36 46
Gauss' formulae of interpolation backward      37
Gauss' method of solution of normal equations      231
Gauss' postulate of the arithmetic mean      215 217
Gauss' Theoria Combination fa proof of the Method of the Least Squares      224
Gauss' Theoria Motus proof of the normal law      218
Gauss, K.F.      37 159 160 175 183 185 199 201 203 215 224 227 228 234 241 242 243 247 255 257 283 300 374
Genie of entire functions      119
Gerling, O.L.      257
Glaisher, J.W.L.      144 252
Gocdseels, P.J.E.      259
Graduation      285
Graduation formula, by interlaced parabolas      300
Graduation formula, comparison of      315
Graduation formula, Higham's      289
Graduation formula, Rhodes's      316
Graduation formula, Sheppard's      291 300
Graduation formula, Spencer's      290
Graduation formula, Whittaker's      303
Graduation formula, Woolhouse's      286
Graeffe's method of solving equations      106
Graeife, C.H.      106
Grain, J.P.      172
Gregory — Newton formula      10
Gregory — Newton formula generalised to two arguments      373
Gregory's formula of integration      143
Gregory, J.      2 12 79 144 154 156
Grubor, O.      167
Haidy, G.P      151 193 286 288
Hardy's formula for integration      151
Hausdoril, F.      177 204
Havelock, T.H.      378
Hermite's formula for trigonometric interpolation      283
Hermite's functions      174
Hermite, C      174 283
Higham, J.A.      289
Hilbert's integral equation      381
Hopfuer, F.      362
Horner's method      100
Horner's method and divided differences      104
Horner, W.G      100
Hutton, C      100
Incomplete data for normal curve      196
Incomplete gamma function      377
Indirect observations, Gauss' Theoria Motus discussion      223
Infinite series, roots of      118
Ingram, A.      100
Integral equations      376
Integrals, double, computation of      374
Integration, numerical      132
Interlaced parabolas, graduation formula      300
Interpolation by exponentials      369
Interpolation by sine series      263
Interpolation formula for functions of two arguments      371
Interpolation formula for quinquennial sums      57
Interpolation formula, Everett's      40 46
Interpolation formula, Gregory-Newton      10 26
Interpolation formula, Gregory-Newton, backward      365
Interpolation formula, Lagrange's      28
Interpolation formula, Lagrange's, remainder term in      32
Interpolation formula, Newton — Bessel      39 47
Interpolation formula, Newton — Gauss      36 46
Interpolation formula, Newton — Gauss, backward      37
Interpolation formula, Newton — Stirling      38 43 46
Interpolation formula, Newton, for unequal intervals      24
Interpolation inverse      60
Interpolation trigonometric      263
Interpolation trigonometric, for unequal intervals      282
Interpolatory functions      20
Inverse interpolation      60
Iteration      79
Jackson, D.      197
Jacobi's theorem in Least Squares      251
Jacobi, C.G.J.      140 251 257
Jotfe, S.A.      36
Kapteyn, J.C.      329
King's formula for quinquennial sums      57
King, A.E.      151
King, G.      57 59 303
Kldorton, W.P.      339 373
Kncke, J.F.      107 234
Knloff, A.      363
Knott, C.G.      376
Kummcr, E.E.      369
Kutta, M.W.      367
Lagrange's interpolation formula      28
Lagrange's interpolation remainder term in      32
Lagrange, J.L.      29 53 98 263 282 360 373
Lambert, J.H.      373
Laplace's hypothesis on frequency distributions      167
Laplace's proof of Method of Least Squares      224
Laplace, P.S.      167 168 172 184 224 227 259 300
Larus, J.R.      300
Least squares, method of      209—259
Legendre polynomial      71
Legendre's principle of Least Squares      209
Legendre, A.M.      210 259
Lidstoue, G.J.      41 49 59 193 288
Linear equations, solution of      75 231 234 236 239
Linear function of deviations, probability of      168
Linear function of unknowns, weight of      242
Lippmann, G.      179
Lobachevsky's method of solving equations      106
Lobaohevsky, N.I.      106
Lozenge diagram      43
Lubbock's formula for summation      149
Lubbock, J.W.      149
Maclaurin, C.      135 155
Markoff, A.A.      369
Martin, O.      280
Mayer's method      258
Mayer, T.      259
Mean absolute deviation      184
Mean contingency      338
Mean error      183 184
Mean error of a determination      243
Mean of observations, weight of      222
Means, allowance for, in Fourier analysis      279
Means, connected with normal distributions      182
Median      188
Median, probable error of      197
Meidell, B.      218
Method of equal coefficients      236
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