The Theory And Practice of Interpolation Including Mechanical Quadrature And Ot
The Theory And Practice of Interpolation Including Mechanical Quadrature And Ot
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. . , are now defined by the two schedules below: F(T) t t + 2o> ^ F!
A> A " fti (A) T / A J" j M J(0 J ( +!) t y t + (0 /I o a, t ~h 2w f 1 7o t + 3w J 2 7i \ t + 4a> A 3 & 72 Ji Ml t + 5o> A 4 A 7s .
(B) Then, since J^= 7/ T -f-/, it follows from Theorem IV that the differences of F are as given in the appended table : F(T) + (O t + 3c F F + f * 2 ^ 2 . 72 2 V+A 7o 7i 72 73 T A (C) Let us now suppose that the differences j+u in Table (C) are either alternately -[- and, or that -|- and signs f...ollow each other 48 THE THEORY AND PRACTICE OF INTERPOLATION.
irregularly. Moreover, the foregoing definition of F requires that the terms in // (1+I) are sufficiently small to indicate that no errors exceed ing half a unit in the last place exist in the functions F(T). The values of // " are then approximately constant, and therefore Table (C) represents the typical case in practice. We proceed to investigate the accuracy of XEWTON S Formula as applied in this case; assuming that n is always taken within the limits and -f-1, and that terms beyond J ( " are neglected.
What to read after The Theory And Practice of Interpolation Including Mechanical Quadrature And Ot?
You can find similar books in the "Read Also" column, or choose other free books by Herbert L Herbert Louis Rice to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . , are now defined by the two schedules below: F(T) t t + 2o> ^ F!
A> A " fti (A) T / A J" j M J(0 J ( +!) t y t + (0 /I o a, t ~h 2w f 1 7o t + 3w J 2 7i \ t + 4a> A 3 & 72 Ji Ml t + 5o> A 4 A 7s .
(B) Then, since J^= 7/ T -f-/, it follows from Theorem IV that the differences of F are as given in the appended table : F(T) + (O t + 3c F F + f * 2 ^ 2 . 72 2 V+A 7o 7i 72 73 T A (C) Let us now suppose that the differences j+u in Table (C) are either alternately -[- and, or that -|- and signs f...ollow each other 48 THE THEORY AND PRACTICE OF INTERPOLATION.
irregularly. Moreover, the foregoing definition of F requires that the terms in // (1+I) are sufficiently small to indicate that no errors exceed ing half a unit in the last place exist in the functions F(T). The values of // " are then approximately constant, and therefore Table (C) represents the typical case in practice. We proceed to investigate the accuracy of XEWTON S Formula as applied in this case; assuming that n is always taken within the limits and -f-1, and that terms beyond J ( " are neglected.
What to read after The Theory And Practice of Interpolation Including Mechanical Quadrature And Ot?
You can find similar books in the "Read Also" column, or choose other free books by Herbert L Herbert Louis Rice to read onlineMoreLess
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