= [[alpha].sub.n] = 1, the full Hermite interpolation simplifies into simple Hermite or osculatory
37]), and therefore (1.3) is unique as an element in [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] solving the so-called osculatory
interpolation problem (1.2).
Roulier, "An algorithm for computing a shape-preserving osculatory
quadratic spline," ACM Transactions on Mathematical Software, vol.
[S.sup.v-l] (x, [rho]) is an osculatory
sphere at x [member] [M.sup.n] iff:
The statistics by percentile in Tables 5 and 6 for years prior to 1991 and in Tables 7 and 8 for years prior to 1994 were estimated, using a mathematical technique called osculatory
interpolation, applied to aggregated data tabulated by income-size classes, in order to distribute the tax returns within each class.
interpolation is then used to estimate intervening [q.sub.x]s and at the extremes of age-under 6 years and over 87 years--ad-hoc methods are employed.
The conversion was done with the use of the Karup-King third-difference formula for osculatory
Likewise, cabaret singing, a genre unto itself personified by Edith Piaf, is reduced to Stephen Banfield's passing reference in his comment on "the overtly osculatory
(or worse) relationship between lips and microphone that now pertains in pop singing, having passed through variety, cabaret and musical in what is essentially a mid-twentieth-century phenomenon" (p.