Thus, no cardinal can be ω < sub > 1 </ sub >- Erdős in L. While L does contain the initial ordinals of those large cardinals ( when they exist in a supermodel of L ), and they are still initial ordinals in L, it excludes the auxiliary structures ( e. g. measures ) which endow those cardinals with their large cardinal properties.

While Arlen and Mercer collaborated on Hot Nocturne, Mercer worked also with Arthur Schwartz on another film, Navy Blues.

While there he collaborated with American physician Charles Claude Guthrie in work on vascular suture and the transplantation of blood vessels and organs as well as the head, and Carrel was awarded the 1912 Nobel Prize in Physiology or Medicine for these efforts.

While on a visit to the U. S. in 1958, Legrand collaborated with such musicians as Miles Davis, John Coltrane, Bill Evans, Phil Woods, Ben Webster, Hank Jones, and Art Farmer in an album of inventive orchestrations of jazz standards titled Legrand Jazz.

While at Cambridge, Hancock was a member of the Footlights where he first collaborated with Hugh Dennis and Steve Punt and became president in 1983 with Punt as vice president.

While in Kilmarnock, he collaborated with another inventor, Thomas Morton, who provided workshop facilities for Stirling's research.

While working with the Band of Gypsys from late 1969 until early 1970, Mitchell also collaborated with the Jack Bruce and Friends band along with ex-Cream bassist / vocalist Jack Bruce, keyboardist Mike Mandel and jazz-fusion guitarist and future The Eleventh House frontman Larry Coryell.

While there, Bach collaborated with Johann Gottfried Herder, who provided the texts for six vocal works ; the music survives for only four of these.

While in Ceylon, the couple collaborated on Mediaeval Sinhalese Art ; Coomaraswamy wrote the text and Ethel provided the photographs.

While he ceased playing the trumpet he maintained a jazz sensibility in the reading of his poems and frequently collaborated with musicians.

While in Cambrai he collaborated with Nicolas Grenon on a complete revision of the liturgical musical collection of the cathedral, which included writing an extensive collection of polyphonic music for services.

While attending San Francisco State University ( SFSU ), Glover was a member of the Black Students Union, which, along with the Third World Liberation Front and the American Federation of Teachers, collaborated in a five-month student-led strike to establish a Department of Black Studies.

While a graduate student at Cambridge Ramachandran also collaborated on research projects with faculty at Oxford, including David Whitteridge of the Physiology Department.

While still in his twenties, he collaborated with Heywood Broun, Dorothy Parker, Robert E. Sherwood, and others on a revue, and collaborated with George S. Kaufman on a play, The Good Fellow, and with Marc Connelly on The Wild Man of Borneo.

While in Spain, de Diego collaborated with the newspaper El Progreso ( Progress ) which was founded by José Julián Acosta and which attacked the political situation in Puerto Rico.

While Ragni and Hair composer Galt MacDermot collaborated on Dude, Rado wrote a musical entitled The Rainbow Rainbeam Radio Roadshow, or Rainbow for short, collaborating on the book with his brother Ted Rado and contributing his own music and lyrics.

While the core trio listed above has been responsible for most of Borbetomagus's music, they have collaborated with Swiss circuit bending duo Voice Crack, Dutch cellist Tristan Honsinger, German double-bassist Peter Kowald, and others.

In May 2008, Sorensen clarified in his autobiography, Counselor, how he collaborated with Kennedy on the book: " While in Washington, I received from Florida almost daily instructions and requests by letter and telephone – books to send, memoranda to draft, sources to check, materials to assemble, and Dictaphone drafts or revisions of early chapters.

While much of Rova's music is composed by its members, the group has also collaborated with and commissioned new works.

While Vichy France collaborated with Japan in French Indochina after the 1940 invasion and later established a Japanese embassy in Sigmaringen, de Gaulle had declared war on Japan on 8 December 1941 following the attack on Pearl Harbor and created local anti-Japanese resistance units called Corps Léger d ' Intervention ( CLI ) in 1943.

While a part-time graduate student, Wolfowitz met Abraham Wald, with whom he collaborated in numerous joint papers in the field of mathematical statistics.

While Lec was by no means the only Polish writer to have collaborated with the aggressors during the War, he is considered by the historian Jerzy Robert Nowak to have been among those who showed the greatest enthusiasm ( do ... najgorliwszych ) in their collaborationist activities.

While searching for a local underground newspaper to publish his work, he began a profressional relationship with Peter Laird and the two collaborated for a short while on various comics projects.

While the band never played together again, Kiyoshiro and Nakaido kept close relationships and collaborated from time to time, including the 1994 album Glad All Over which was credited to Kiyoshiro Imawano & Reichi Nakaido.

While five minutes ago the place had presented a scene of easy revelry, with Gyp Carmer a prominent figure, it was now as somnolent and dull as the day before payday.

While my memory holds with relentless tenacity, as I cannot too often stress, to my wrongs, when it comes to my shames, it gestures and jokes and toys with chronology like a prestidigitator in the hope of distracting me from them.

While with the Whiteman band Mercer met Jerry Arlen.

While I was sitting at one of the rewrite telephones with my derby and my great beard, Arthur Brisbane whizzed in with some editorial copy in his hand.

While I fully agree with Sir Anthony's contention, I think that we must carry the analysis farther, bearing in mind that while common peril may be the measure of our need, the existence or absence of a positive sense of community must be the measure of our capacity.

While white is the coolest summer shade, there are lots of pastel hues along with tintable fabrics that will blend with any wardrobe color.

While some regression is inevitable, it is discouraged rather than encouraged so that the transference does not follow the stages of planned regression associated with certain casework adaptations of the psychoanalytic model for insight therapy.

While we had expected that compulsive children in the unstructured school setting would have difficulty when compared to those in the structured, we were surprised to find that the achievement of the high compulsives within the schools where the whole-word method is used in beginning reading compares favorably with that of the low compulsives.

While the phonemes can be very easily stated, no one is likely to be satisfied with the statement until phonemic occurrences can be related in some way to morphemic units, i.e. until the morphophonemics is worked out, or at least far enough that it seems reasonable to expect success.

While obliged to concede governments in East Europe allied with the Soviet Union instead of opposed to it, we thought we had preserved our social and economic system in East Europe.

While this influence is a complex matter, depending upon personality factors in the individual as well as upon his social-class experience, there probably are some general statements about social-class background and educational policy that can be made with a fair degree of truth.

While costs on this order are sometimes separately charged for in residential and commercial rates, in the form of a mere `` service charge '', they are more frequently wholly or partly covered by a minimum charge which entitles the consumer to a very small amount of gas or electricity with no further payment.

While Protogeometric vases usually turn up, especially outside Greece proper, together with as many or more examples of local stamp, these `` non-Greek '' patterns had mostly vanished by the later ninth century.

While talking with Julian M. Beall, Francisco Archuleta and Juan Marcus appeared, both heavily armed, and after watching the house for a while, rode away.

While we, as American artists, believe deeply in the universal character of all intellectual activity, we would be less than honest with you, or ourselves, if we failed to state a specific attitude toward our own society as well as the international community as a whole.

While man shares this procreative function with all his predecessors in the evolutionary process, he is the only animal with a true non-instinctive and conscious creative ability.

While accounts of the progress of the tsunami came in from various points in the Pacific ( Midway reported it was covered with nine feet of water ), the Hawaiian station made its calculations and notified the military services and the police that the first big wave would arrive at Honolulu at 23:30 Greenwich time.

While the city council suggested that the Legislative Council might perform the review, Mr. Notte said that instead he will take up the matter with Atty. Gen. J. Joseph Nugent to get `` the benefit of his views ''.

While we are filling outer space with scientific successes, for many the `` inner '' space of their soul is an aching void.

While in Asia, Aristotle traveled with Theophrastus to the island of Lesbos, where together they researched the botany and zoology of the island.