Interpolation and Allied Tables |
Contents
INTRODUCTION | 6 |
Interpolation formulae | 14 |
Notes on numerical calculus | 22 |
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Common terms and phrases
9 ΙΟ applied approximation argument B₁ Bessel's formula binomial coefficients booklet C(yo CENTRAL DIFFERENCE computation critical cases ascend critical table derivatives in terms differential equation divided differences E2 F2 B₂ Everett coefficients Everett's formula example extrapolating f₁ F₂ find ƒ first-order equations fourth differences function values given gives h²f h³f h³ƒ half-way points higher differences I I I independent variable integration interpolating factor interpolation coefficients interpolation formula interval inverse interpolation Lagrange interpolation polynomial linear interpolation Mathematical Tables maximum error mistakes modified differences N N N N N N₁ National Physical Laboratory notation number of figures numerical obtained order of approximation order of difference p)fo recurrence relation rounding-off errors sixth differences Stirling's formula subtabulation T₁ Table 12 tabular point tabular values truncation error units y₁ ΙΟ ΙΟ ΙΟ ΙΟΙ μδ μδο ΟΙΙ ΟΙΟ