The thing can be made to look like the cluttered attic of a large and vigorous family -- a motley jumble of discarded objects, some outworn and some that were never useful, some once whole and bright but now chipped and tarnished, some odd pieces whose history no one remembers, here and there a gem, everything fascinating because it suggests some part of the human condition -- the whole adding up to nothing more than a glimpse into the disorderly history of the makers and users.

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

A group is said to be of component type if for some centralizer C of an involution, C / O ( C ) has a component ( where O ( C ) is the core of C, the maximal normal subgroup of odd order ).

These are more or less the groups of Lie type of odd characteristic of large rank, and alternating groups, together with some sporadic groups.

The three classes are groups of GF ( 2 ) type ( classified mainly by Timmesfeld ), groups of " standard type " for some odd prime ( classified by the Gilman – Griess theorem and work by several others ), and groups of uniqueness type, where a result of Aschbacher implies that there are no simple groups.

A tradition exists among some families to serve twelve different dishes at Wigilia symbolizing the Twelve Apostles, or perhaps, an odd number of dishes for good luck ( usually five, seven, or nine ).

This whole concept might strike some readers as very odd.

Three colors are adequate for simpler maps, but an additional fourth color is required for some maps, such as a map in which one region is surrounded by an odd number of other regions that touch each other in a cycle.

Many of the neighborhood's streets are narrow and some curve at odd angles.

The idea of a solid that did not interact with other matter seemed a bit odd, and Augustin-Louis Cauchy suggested that perhaps there was some sort of " dragging ", or " entrainment ", but this made the aberration measurements difficult to understand.

Coercion can have some odd side effects, however.

Using stock sets for other shows results in odd subcategories like the science fiction western ; some established shows also have the occasional episode.

After working odd jobs around the city, Aragonés went to Mads offices in Madison Avenue hoping to sell some of his cartoons.

The idea that some statements are more actions than communicative statements is not as odd as it may seem.

As a result of the site's many construction phases: from the original 9th century citadel, through the 14th century Muslim palaces, to the 16th century palace of Charles V ; some buildings are at odd positioning to each other.

The deployment of these new underwater weapons resulted in only 1 battleship, but 2 armored cruisers and 2 destroyers being sunk in action ; with the remainder of the 80 some odd warships being sunk by the more conventional methods of gunfire, mines, and scuttling.

In ultra-high vacuum systems, some very odd leakage paths and outgassing sources must be considered.

The Wilhelmus also has some odd rhymes in it.

In contrast, artificial water containers, such as the odd plastic bucket, flowerpot " saucer ", or discarded bottle or tire, are important breeding places for some of the most serious disease vectors, such as species of Aedes that transmit dengue and yellow fever.

The elder Jaggard has seemed an odd choice to many commentators, given his problematical relationship with the Shakespeare canon: Jaggard issued the suspect collection The Passionate Pilgrim in 1599 and 1612, and in 1619 printed the so-called False Folio, ten pirated or spurious Shakespearean plays, some with false dates and title pages.

For a simple example, if for some reason we had any doubt that the roots 1 and 2 in the above example were distinct, then we might prove this by noting that 1 is an odd number while 2 is even.

The Greek sculptors tried to clarify it by looking for mathematical proportions, just as they sought some reality behind appearances.

Just as in the arts the Greeks sought some reality behind appearances, so in mathematics they sought permanent principles which could be applied wherever the conditions were the same.

Basically, " plate appearances " = at bats + some of the scenarios excluded from at bats such as base on balls, hit by pitch, sacrifice or catcher's interference which positively affect the offensive team.

The character Frasier Crane, played by Kelsey Grammer, was featured in his own successful spin-off, Frasier, which also ran for 11 seasons and included guest appearances by virtually all of the major, and some minor, Cheers characters.

It was especially noted that the birth and death of some notable persons coincided with separate appearances of the comet, such as with writers Mark Twain ( who correctly speculated that he'd " go out with the comet " in 1910 ) and Eudora Welty, to whose life Mary Chapin Carpenter dedicated the song Halley Came to Jackson.

Symbolic effects taken over from conventional literary and artistic tradition continued to make some appearances in films during these years.

Kelly continued to make some film appearances, such as Hornbeck in the 1960 Hollywood production of Inherit the Wind.

The fate of the Galatian people is a subject of some uncertainty, but they seem ultimately to have been absorbed into the Greek-speaking populations of west-central Anatolia thereby giving a fresh transmission of light skin, blue eyed, and fair haired ethno-types into the Greek population which by then had highly intermarried with darker ethnotypes and lost their earlier appearances.

The very earliest accounts of belief are contained in these texts, such as early Christian creeds and hymns, as well as accounts of the Passion, the empty tomb, and Resurrection appearances ; some of these are dated to the 30s or 40s CE, originating within the Jerusalem Church.

In his non-first-class appearances for Somerset, his bowling figures did not stand out, but there were some sizeable scores, namely 91 for the Under-25s v Glamorgan Under-25s, 82 & 42 v Cornwall, 51 v Gloucester Under-25s, 50 v Glamorgan 2nd XI and in his last game ( before his 1986 comeback match ) 100 against Glamorgan 2nd XI.

In some of his modern appearances, mention is made of his villainous father either in cryptic terms or using a variety of new names, due to Marvel no longer having the rights to Fu Manchu.

After some TV commercial and radio appearances, including the CBS Radio Mystery Theater in 1974, Patinkin had his first success in musical theater, where he played the part of Che in Evita on Broadway in 1979.

Building on the gritty sound of Tougher Than Leather, and adding some subtle religious references, the album featured guest appearances and production by several hip hop notables ( including Pete Rock & CL Smooth, Q-Tip of A Tribe Called Quest, and Jermaine Dupri ).

This pushed appearances out of the reach of some volunteer non-profit fan groups towards commercial event promoters.

Una Stubbs made some guest appearances but Anthony Booth apparently wasn't interested in reprising his role.

In 1981, he released a 45 rpm single, his first solo record (" I'm Not Your Steppin ' Stone " b / w " Higher And Higher ") and did some club performances and live television appearances, including taking part in a " Win A Date With Peter Tork " bit on Late Night with David Letterman.

Louis Berger, a parish priest from The Hague, accompanying him in some of his last TV appearances.

In his earliest appearances, Clouseau is actually ( only slightly ) less inept and exaggerated ; some of the above character elements were not added until the 1970s.

Most notably he makes several appearances in James Joyce's Finnegans Wake, and some have posited that the title, taken from the street ballad " Finnegan's Wake ", may also be a blend of " Finn again is awake ," referring to his eventual awakening to defend Ireland.

Wozniak's songs run in many different styles: some are modern folk music ; many have undertones reminiscent of children's songs ; the blurred sound of psychedelia makes appearances ; and then there are the songs with a clear rock sound.

They hosted a television series entitled Orfeon a Go-Go and made cameo appearances in several movies, lipsynching to some of their old hits.

He has not returned to England apart from some personal visits and very few media appearances, his last one since 1985 being a 2006 interview which formed part of a " Len Deighton Night " on BBC Four.

In the meantime, some YCDTOTV cast members continued to hone their on-camera skills through appearances in Bear Rapids, a Price / Darby pilot film that was never picked up, and Something Else, a local game show on CJOH with a format somewhat similar to the live and local episodes of YCDTOTV.

He made his final appearances on stage as Nick Bottom in A Midsummer Night's Dream, and as King Lear at the Shakespeare Memorial Theatre in 1959, although failing health resulted in both performances being disappointing, according to some British critics.

He can often be seen on the show in minor appearances, although there have been some episodes that feature him heavily, including the first episode of The Simpsons.