Since the error term is proportional to the fourth derivative of f at, this shows that Simpson's rule provides exact results for any polynomial f of degree three or less, since the fourth derivative of such a polynomial is zero at all points.

The recording of " Pieces of Me " features in the fourth episode of the first season of Simpson's reality show, The Ashlee Simpson Show, and was inspired by Simpson's relationship with the musician Ryan Cabrera, a friend with whom she became romantically involved.

Fairview Mall was built in 1970 with The Bay and Simpson's as its department store anchors, and at the time was the fourth fully enclosed, as well as the first multi-level shopping centre in Metropolitan Toronto.

" With You " became Simpson's fourth top-forty single in the US and her second highest peak on the chart since " I Wanna Love You Forever " ( 1999 ).

Ribbentrop's time in London was also marked by rumors that he was having an affair with Wallis Simpson, British-businessman Ernest Simpson's wife and King Edward VIII's mistress.

Simpson's second wife was Wallis Warfield Spencer ( 1896 – 1986 ), the Baltimore-born former wife of Earl Winfield Spencer, Jr. and only child of Teackle Wallis Warfield and his wife, the former Alice Montague.

Bugliosi also said the prosecutors should have gone into more detail about Simpson's abuse of his wife.

" Simpson's conjecture was that according to the geological record, on very rare occasions evolution would proceed very rapidly to form entirely new families, orders, and classes of organisms.

Simpson's idea was principally concerned with evolution at higher taxonomic groups.

The name Simpson's paradox was introduced by Colin R. Blyth in 1972.

Reporting the appointment of George Simpson as GEC managing director in 1996, The Independent had said " some analysts believe that Mr Simpson's inside knowledge of BAe, a long-rumoured GEC bid target, was a key to his appointment.

Simpson's system of taxonomy, however, was far from the first ; taxonomies / descriptions for the classification of intersexuality were developed by Italian physician and physicist Fortuné Affaitati in 1549, French surgeon Ambroise Paré in 1573, French physician and sexology pioneer Nicolas Venette in 1687 ( under the pseudonym Vénitien Salocini ), and French Zoologist Isidore Geoffroy St. Hilaire in 1832.

He once arranged Marge Simpson's release after she was arrested for blocking traffic on a bridge after suffering a nervous breakdown, claiming that if she went to jail, Quimby could kiss the " chick vote " goodbye.

The same recording of Simpson's theme was used for the opening titles of all four series of the programme.

Dudley Simpson's theme music was also released as a single, with The Federation March ( a piece of incidental music from the episode Redemption ) on the B-side.

Simpson's work was crucial because so many paleontologists had disagreed, in some cases vigorously, with the idea that natural selection was the main mechanism of evolution.

In 1961, Brian's largest surviving work, the Gothic Symphony, which had been written between 1919 and 1927, was first performed at Westminster Central Hall, in a partly amateur performance conducted by Bryan Fairfax, and in 1966 the first fully professional performance was given at the Royal Albert Hall conducted by Boult, both occasions largely the result of Simpson's lobbying.

Simpson's 1890 book, Wholly Sanctified, the prominent New York City pastor and founder of the Christian and Missionary Alliance writes of wanting to read Ingersoll's lectures with a view to answering them, but was so repulsed after reading one page that he " dared not go farther.

Fuhrman argues that several errors made by his LAPD colleagues permitted the defense to allege that there was suspicious police conduct at Nicole Brown Simpson's house.

It also could have contradicted the defense's allegations that Fuhrman planted the glove, since he did not know or have reason to know that it was Simpson's blood.

On television, Fierstein was featured as the voice of Karl, Homer Simpson's assistant, in the " Simpson and Delilah " episode of The Simpsons and the voice of Elmer in the 1999 HBO special based on his children's book The Sissy Duckling, which won the Humanitas Prize for Children's Animation.

was tricked into playing a show in Homer Simpson's garage.

Grossmith was educated at Massingham House on Haverstock Hill in Hampstead, and then at the North London Collegiate in Camden Town and Simpson's School, a local private establishment.

A 2011 report by The TaxPayers ' Alliance revealed that Derek Simpson's total compensation for the period 2010-2011 was £ 510, 659, making him the highest paid Trade Union boss in the United Kingdom.

O. J. Simpson's 1968 trophy was sold in February 1999 for $ 230, 000 as part of the settlement of the civil trial in the O. J. Simpson murder case.

Sears Canada was formed in 1952 as a joint venture of Simpson's and United States retailer Sears, and it remains majority owned by the latter.

Plate from Christopher Simpson's book, The Division Violist, England, 1659 – 1667 edition.

* O. J. Simpson murder case – O. J. Simpson's trial, described in the U. S. media as the " trial of the century " and enormous U. S. media attention is focused on the trial.

In probability and statistics, Simpson's paradox ( or the Yule – Simpson effect ) is a paradox in which a correlation present in different groups is reversed when the groups are combined.

* Robert Simpson ( merchant ) ( 1834 – 1897 ), Canadian founder of Simpson's Department Store

Simpson's rule, which is based on a polynomial of order 2, is also a Newton – Cotes formula.

For instance, the standard fourth-order Runge – Kutta method applied to the differential equation yields Simpson's rule from above.

* Silphium simpsonii – Simpson's Rosinweed

For one-dimensional integration, quadrature methods such as the trapezoidal rule, Simpson's rule, or Newton – Cotes formulas are known to be efficient if the function is smooth.

* Yule – Simpson effect ( a. k. a. Simpson's paradox ) – Edward H. Simpson and Udny Yule

In 1848, Reiss joined forces with the caterer John Simpson ( 1808 or 09 – 1864 ) to expand the premises, renaming it " Simpson's Grand Divan Tavern ".

Thirty years later the elderly George Lyttelton reminisced, " Did you never know the agonising choice put before you in the pre-war Simpson's – saddle of mutton or beef ... both perfect of their kind?

" It is illustrative of the continuing high profile of the establishment that the death of its long-serving doorman in 1934 was covered in the press: " It is estimated that ' Old Matt ' opened the doors of over 2, 000, 000 private cars, taxicabs, and – in Edwardian days – hansom cabs which drew up outside Simpson's.

Thomas Simpson FRS ( 20 August 1710 – 14 May 1761 ) was a British mathematician, inventor and eponym of Simpson's rule to approximate definite integrals.

* Bart Simpson's Treehouse of Horror ( 1995 – present ) 18 Issues

Simpson's first book Male Impersonators ( 1994 ) provided the background for his theory of metrosexuality by examining the way men were represented in popular culture – movies, ads, mags, music, male stripping, and comedy – and showing how ' unmanly ' passions such as homoeroticism, male narcissism, and male masochism were not excluded but rather exploited, albeit semi-secretly, in voyeuristic virility.

A comic artist from an early age, Simpson's first published comic strip – early web comic Ozy and Millie – began running regularly in 1998.

When the Western Hockey League ceased operations at the end of the 1924 – 25 season, Simpson's contract was purchased by the New York Americans of the National Hockey League.

In response to Darren Simpson's parody of South African Deputy President Jacob Zuma's ongoing rape trial of 2006 – for which Zuma was acquitted – Zuma filed a defamation lawsuit on 30 June 2006, for the sum of R 5 million.