Although the resulting energy eigenfunctions ( the orbitals ) are not necessarily isotropic themselves, their dependence on the angular coordinates follows completely generally from this isotropy of the underlying potential: the eigenstates of the Hamiltonian ( that is, the energy eigenstates ) can be chosen as simultaneous eigenstates of the angular momentum operator.

Although several billion years old, the Champion is not as intelligent as most other known Elders of the Universe, partially because most have chosen to develop their minds along with their physical bodies.

Although Briggs and Robinson state that eight players will leave with nothing, normally the losing celebrities receive a " house " amount to give to their chosen charity, as well as their own fee for appearing on the show.

Although the new party was dominated by former Nationalists, Lyons was chosen as the new party's leader, and thus became Leader of the Opposition.

Although it showed pride for her many achievements, its use of dialect (" I nebber run my train off de track "), apparently chosen for its authenticity, has been criticized for undermining her stature as an American patriot and dedicated humanitarian.

Although Ahmed Hassan al-Bakr orchestrated the coup, Abdel Salam Arif, a Nasserist, was chosen to be the new president.

Although the UAP was dominated by former Nationalists, Lyons was chosen as leader rather than the Nationalists ' last leader, John Latham.

Although eminently qualified, Komarov was not chosen in the top six candidates, because he did not meet the age, height and weight restrictions specified by the " Chief Designer " of Russia's space program: Sergei Korolev.

Although Richard had been offered Caterina Visconti, one of the daughters of Bernabò Visconti of Milan, who would have brought a great deal of money with her as dowry – Anne was chosen, bringing no direct financial benefits to England.

Although the pairings in a group of 23 people are not statistically equivalent to 253 pairs chosen independently, the birthday paradox becomes less surprising if a group is thought of in terms of the number of possible pairs, rather than as the number of individuals.

Although she appears to have come from a noble family, there is no clear reason as to why she would have been chosen as Leo's bride, leading some scholars to speculate that she was selected in a bride-show, in which eligible women were paraded before the bridegroom, until one was finally selected.

Although the chosen name was " Mariners ," the Pilot ′ s editor overruled the contest, deciding he liked the alliteration of " Tidewater Tides.

Although some states still maintain electrocution as a method of execution, today it is only maintained as a secondary method that may be chosen over lethal injection at the request of the prisoner.

Although Hull was the oldest and most central of the merged cities, the name Gatineau was chosen for the new city.

Although Hull was the oldest and most central of the merged cities, the name Gatineau was chosen for the new city.

Although different locations were considered for the railroad terminus and shipping port, Agate Bay was chosen because it was closer to the iron ore site and provided a clay bottom bay, while most others were rocky.

Although unsuccessful in his 1958 campaign for California Attorney General, Weinberger continued to be active in politics and was chosen by Nixon in 1962 to become chairman of the California Republican Party.

Although Time Warner eventually let the band go in 1997, they have not signed to another label, and have chosen not to use an independent label, despite showcasing numerous new songs in their live sets.

Although this system was not chosen as a primary candidate for the now-canceled Terrestrial Planet Finder, it was a target star for NASA's proposed Space Interferometry Mission to search for Earth-sized planets.

Although Barry lived his adult life as a man, it is widely believed that he was female assigned at birth and named Margaret Ann Bulkley and that he chose to live as a man so that he might be accepted as a university student and be able to pursue his chosen career as a surgeon.

Although the inductor gives the best performance, usually the resistor is chosen for cost reasons.

Although the Sipahis of the Porte were originally recruited, like the Janissaries, using the devshirmeh system, by the time of Sultan Mehmed II, their ranks were only chosen from among the ethnic Turks who owned land within imperial borders.

Although some of the sampling of items for price collection is done using a sampling frame and probabilistic sampling methods, many items and outlets are chosen in a commonsense way ( purposive sampling ) that does not permit estimation of confidence intervals.

Although the family were very anti-French Gino was chosen with other notables to pay homage to Napoleon in Paris in 1813.

Although technically only Chile ’ s 6th largest city, with an urban area population of 263, 499 ( 275, 982 in municipality ), the Greater Valparaíso metropolitan area, including the neighbouring cities of Viña del Mar, Concón, Quilpué and Villa Alemana, is the second largest in the country ( 803, 683 inhabitants ).

Although it was dark as usual I could see that the hall had only recently contained a great many people.

Although New Orleans was not to learn of it for a spell, she also was a sadist, a nymphomaniac and unobtrusively mad -- the perpetrator of some of the worst crimes against humanity ever committed on American soil.

Although Faulkner was the heir in his own family to this tradition, he did not have Stark Young's inclination to romanticize and sentimentalize the planter society.

Although his tender nights were not the ones I dreamed of, nor was it for yachts, sports cars, tall drinks, and swimming pools, nor yet for money or what money buys that I burned, I too was burning and watching myself burn.

Although after much trouble he did manage to get it back, he discovered there was no trade to be had.

Although he did not attend any celebrated schools or universities, he was a master of Greek and Hebrew and could read the Bible in the original.

Although the fort was evacuated in the face of the force of Cornwallis, Morgan and his men did have a chance to take another swing at the redcoats.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.

Although it was a mere fragment of the victim's remains, it was enough.

Although there were only four fluids tested, it was apparent that there were two distinct types.

Although the tape was run for over 1 hr., a steady state was not reached, and it was concluded that the reason for this was that the back pressure of the manometer was built up from the material fed from between the blocks and this was available at a very slow rate.

-- Although there was some variation in results which must be attributed either to trace impurities or to variation in wall effects, the photochemical exchange in the gas phase was sufficiently reproducible so that it seemed meaningful to compare the reaction rates in different series of reaction tubes for the purpose of obtaining information on the effect of chlorine concentration and of carbon tetrachloride concentration on the reaction rate.

Although the Taylor Scale was designed as a group testing device, in this study it was individually administered by psychologically trained workers who established rapport and assisted the children in reading the items.

Although nearing ordination at the Yeshiva University's Rabbi Isaac Elchanan Theological Seminary, he transferred to the Jewish Theological Seminary of America ( JTSA ), where he was ordained in 1934 and received the advanced Jewish legal degree of Hattarat Hora ’ ah under the great talmudic scholar Rabbi Professor Louis Ginzberg.

Although women chazaniyot ( cantors ) are common in North American Conservative synagogues, in 2006, Jaclyn Chernett became the first woman in the UK to be ordained as a chazan ( cantor ) in the British Masorti movement.

Although not considered clergy, lay speakers often preach during services of worship when an ordained elder or deacon is unavailable.

Although one does not need to be an ordained Rabbi to be a Rebbe, most Rebbes today are ordained Rabbis.

Although he was an ordained Christian cleric, he is best known as a warrior and statesman.

* 1793-Stephen Badin ordained in U. S. Although much of Badin's ministry was pastoral work among his own countrymen, he did some outreach among the Potawatomi Indians

Although sustained on April 7, he was not ordained to office until May 3, 1984.

Although Jews are commanded to take the four species together, the rabbinically ordained blessing mentions only the lulav because it is the largest and most evident of the four species.

Although Orthodox monks are not permitted to hold personal possessions, the canons permit a hieromonk ( i. e., a monk who has been ordained to the priesthood ) to keep a chalice and other vessels necessary to celebrate the Divine Liturgy.

Although Sunday was ordained by the Presbyterian Church in 1903, his ministry was nondenominational, and he was not a strict Calvinist.

Although he was ordained in the Sthanakvasi tradition, he regarded himself to be non-sectarian.

Although it continued as a centre of clergy training until 1978, there was always a proportion of students who did not intend to be ordained.

Although Granville Hedrick was ordained to be president of his church in 1863, he later repudiated this ordination, even referring to Smith as a " fallen prophet ".

Although they may not be ordained patriarchs, every Latter-day Saint father who holds the Melchizedek Priesthood can pronounce blessings upon his child or spouse, as necessary.

Although the majority of Polish-Americans remained with the Roman Catholic Church, where bilingual Polish-American priests and bishops were eventually ordained, many Polish-Americans in the meantime came to believe that these conditions were a manifestation of " political and social exploitation of the Polish people.

Although a lifelong devotee of Notre Dame, he joined the Jesuits directly out of high school in 1939 and was ordained to the priesthood in 1952.

Although not yet ordained, Gerard was rewarded with the Bishopric of Hereford, and he was consecrated by Archbishop Anselm on 8 June 1096 ; his ordination as a deacon and priest had taken place the previous day.

The Preamble serves solely as an introduction, and does not assign powers to the federal government ,< ref > See Jacobson v. Massachusetts, 197 U. S. 11, 22 ( 1905 ) (" Although th preamble indicates the general purposes for which the people ordained and established the Constitution, it has never been regarded as the source of any substantive power conferred on the government of the United States, or on any of its departments.

Although women had studied theology at Tartu University in the 1920s and some had sought ordination as priests, it was not until 1967 that the first woman, Laine Villenthal, was ordained.

Although most moderators have been ordained ministers, this is not a requirement of office — to date, four have been lay persons.

Although a 1961 document entitled Careful Selection And Training Of Candidates For The States Of Perfection And Sacred Orders stated that homosexual men should not be ordained, this was left to bishops to enforce, and most did not, holding homosexuals to the same standards of celibate chastity as heterosexual seminarians.

Although a formal organization of ordained priests has no basis in Islam, a variety of functionaries perform many of the duties conventionally associated with a clergy and serve, in effect, as priests.

Although religious life began with communities of desert hermits and monks in which none of the members were ordained, over time the Church began to blend monastic life with the ordained ministry.