X-Nico

2 unusual facts about interpolation


Halley's method

Halley's method can be viewed as exactly finding the roots of a linear-over-linear Padé approximation to the function, in contrast to Newton's method/Secant method (approximates/interpolates the function linearly) or Cauchy's method/Muller's method (approximates/interpolates the function quadratically).

London moment

A magnetometer determines the orientation of the generated field, which is interpolated to determine the axis of rotation.


Ann Peebles

In 1997, Missy Elliott recorded "The Rain (Supa Dupa Fly)", an interpolation of "I Can't Stand the Rain", as the first single from her debut album, Supa Dupa Fly.

Been Around the World

The song sampled David Bowie's 1983 hit song "Let's Dance" and Roy Ayers's "Feelin’ Good"; it also featured a vocal interpolation of Lisa Stansfield's song "All Around the World", sung by The Notorious B.I.G. in the chorus.

Better Life

Urban closed that awards show with a live performance of the song, featuring a long interpolation of Bruce Springsteen's "The Rising" and backing vocals from a large choir consisting of displaced persons from the previous summer's Hurricane Katrina.

Brahmagupta's interpolation formula

Brahmagupata's interpolation formula is a second-order polynomial interpolation formula developed by the Indian mathematician and astronomer Brahmagupta (598–668 CE) in the early 7th century CE.

Chanté's Got a Man

Jermaine Dupri is featured on the remix, that features an interpolation of "I Got a Man" by Positive K.

Das Geheimnis der Runen

List stated that his Armanen Futharkh were encrypted in the Rúnatal of the Poetic Edda (stanzas 138 to 165 of the Hávamál), with stanzas 147 through 165, where Odin enumerates eighteen wisdoms (with 164 being an interpolation), interpreted as being the "song of the 18 runes".

Gal's accurate tables

Gal's accurate tables is a method devised by Shmuel Gal to provide accurate values of special functions using a lookup table and interpolation.

Hip Hop Holiday

The song was built around a substantial interpolation of "Dreadlock Holiday" by 10cc.

I'm Bad

The song samples the Theme from "S.W.A.T." by Rhythm Heritage, Federal Signal Corporation's famous Q2B siren, and an interpolation of the theme song from the 1960s syndicated animated series Courageous Cat and Minute Mouse.

J. J. Fad

In 2006, Fergie used an interpolation of "Supersonic", and a sample of "Give It All You Got" by Afro-Rican, for her song named "Fergalicious".

Josephus on Jesus

Paul Maier states that a comparison of Eusebius' reference with the 10th-century Arabic version of the Testimonium due to Agapius of Hierapolis indicates that the Christian interpolation present in the Testimonium must have come early, before Eusebius.

Krige

Kriging, a geostatistical method of interpolation, named after Danie Krige

Lissajous curve

This property is exploited to produce a set of points, called Padua points, at which a function may be sampled in order to compute either a bivariate interpolation or quadrature of the function over the domain -1,1×-1,1.

Numerical Recipes

The Numerical Recipes books cover a range of topics that include both classical numerical analysis (interpolation, integration, linear algebra, differential equations, and so on), signal processing (Fourier methods, filtering), statistical treatment of data, and a few topics in machine learning (hidden Markov models, support vector machines).

Rotoshop

Rotoshop uses an animation technique called interpolated rotoscoping, which has been used in Richard Linklater's films Waking Life and A Scanner Darkly, as well as the Talk to Chuck advertising campaign for Charles Schwab.

Skyfall: Original Motion Picture Soundtrack

Despite this, Track 23 contains an instrumental interpolation of "Skyfall", written by Adele and Paul Epworth.

Thank You, Fog

The book contains poems written mostly in 1972 and 1973; after Auden's death in September 1973 it was prepared for publication by his literary executor Edward Mendelson, who also included an "antimasque" titled "The Entertainment of the Senses", written in 1973 by Auden and Chester Kallman as an interpolation in a planned production of James Shirley's masque Cupid and Death (1653); the antimasque was commissioned by the composer John Gardner.

The City Is Mine

It was panned by critics for its commercial nature and poor interpolation of Glenn Frey and Jack Tempchin's "You Belong to the City.".

The People or the Gun

The song "The Gre(A)t Depression" includes repeated melodic interpolation of "It's All Over Now, Baby Blue" by Bob Dylan.

The Ultimate Live Experience

# "The Jam" (Includes "The Exodus Has Begun" lyric interpolation)

Thong Song

Songwriters Desmond Child and Robi Draco Rosa receive songwriting credit because of the interpolation of part of their composition, "Livin' la Vida Loca" (Ricky Martin), in the song's lyrics.

Thug Lovin'

Bobby Brown's sung portion is an interpolation of part of the chorus of the Stevie Wonder song "Knocks Me Off My Feet".

Tin Man Is Down

References (homages) to the work of John le Carre feature, one in a scripted line spoken by Dar Adal (F. Murray Abraham) in a restaurant scene, saying, to Saul Berenson (Mandy Patinkin), "We are pragmatists. We adapt. We are not the keepers of some sacred flame", a direct interpolation of a line originally spoken by the character of Oliver Lacon, in Smiley's People.

Up with the Birds

The track also features samples from "Driven by You" (1991) by English musician Brian May and a lyrical interpolation of "Anthem" (1992) by Canadian musician Leonard Cohen.

Variable interpolation

Languages that support variable interpolation include Perl, PHP, Ruby, Tcl, Groovy, and most Unix shells.

Wacom

This information is analyzed by the computer to determine the pen's position, by interpolation and Fourier analysis of the signal intensity.


see also