* Principal ideal domain, in abstract algebra, an integral domain in which every ideal is principal

Principal ideal domains are thus mathematical objects which behave somewhat like the integers, with respect to divisibility: any element of a PID has a unique decomposition into prime elements ( so an analogue of the fundamental theorem of arithmetic holds ); any two elements of a PID have a greatest common divisor ( although it may not be possible to find it using the Euclidean algorithm ).

** Principal ideal domain, an integral domain in which every ideal is principal

Principal ideal domains are integral domains in which every ideal can be generated by a single element, another property shared by the integers.

* Principal ideal, an ideal with a single generator, and the related concept of principal ideal domains

Principal army schools are located there or nearby.

Orchestral bass auditions are typically held in front of a panel that includes the conductor, the Concertmaster, the Principal bass player and possibly other principal players such as the Principal cellist.

The only surviving complete works by Epicurus are three letters, which are to be found in book X of Diogenes Laertius ' Lives of Eminent Philosophers, and two groups of quotes: the Principal Doctrines, reported as well in Diogenes ' book X, and the Vatican Sayings, preserved in a manuscript from the Vatican Library.

Principal US military systems currently purchased by the Kuwait Defence Forces are Patriot missile system, F-18 Hornet fighters, and the M1A2 Main Battle Tank.

( 1 ) The Principal Allied and Associated Powers confer a mandate on one of their number or on a third power ; ( 2 ) the principal powers officially notify the council of the League of Nations that a certain power has been appointed mandatory for such a certain defined territory ; and ( 3 ) the council of the League of Nations takes official cognisance of the appointment of the mandatory power and informs the latter that it council considers it as invested with the mandate, and at the same time notifies it of the terms of the mandate, after assertaining whether they are in conformance with the provisions of the covenant.

Principal questions of ontology are " What can be said to exist?

Principal factors driving research interest in Tau Ceti are its Sun-like characteristics and their implications for possible planets and life.

Principal mobile phone operators are Telecel, Net * One and Econet Wireless.

Principal historic buildings in the district are: Tabor Grand Hotel, St. George's Church, Annunciation Church, Tabor Opera House, City Hall, Healy House, Dexter Cabin, Engelbach House, and Tabor House, as well as mining structures and small homes.

Dr. Barbara L. Fredrickson, Principal Investigator of the Positive Emotions and Psychophysiology Lab and Professor at the University of North Carolina, Chapel Hill, argues that hope "... comes into play when our circumstances are dire ", when " things are not going well or at least there ’ s considerable uncertainty about how things will turn out ".

Registration under the Supplemental Register allows the registrant to protect its trade dress in foreign countries, although the protections are much more limited than protections under the Principal Register in the U. S.

Assisting the Attorney General in the performance of his duties as Principal Legal Adviser to the Government are:

The three presiding officers of a Royal Arch Chapter are called the Excellent King, High Priest and Chief Scribe, ( not First, Second and Third Principal ).

Principal food crops are coconuts, bananas, and cassava.

Principal industries are those that involve processing cash crops for export: preparing vanilla and distilling ylang-ylang into perfume essence.

Principal aid donors are Australia $ 247 Million per year ( 2006 ), New Zealand $ 14 Million per year ( 2004 ), the European Union, Japan $ 40 Million per year ( 2005 ), and the Republic of China ( Taiwan ) At least $ 20 Million per year.

In " Regarding Margie ", she and Principal Skinner are seen making love on a golf course.

Bideford College has approximately 1, 650 pupils all of whom are in Years 7 to 11 plus sixth form, and is led by Principal, Ms Veronica Mathews, is the only local community secondary state school in Bideford.

The United States filed a formal protest because the preamble of the mandates indicated to the League that they had been approved by the Principal Allied and Associated Powers, when, in fact, that was not the case.

According to the Council of the League of Nations, meeting of August 1920: " draft mandates adopted by the Allied and Associated Powers would not be definitive until they had been considered and approved by the League ... the legal title held by the mandatory Power must be a double one: one conferred by the Principal Powers and the other conferred by the League of Nations ,"

The actus reus is complete and no rule of ratification applies in the Criminal Law, i. e. whereas in the Law of Agency a Principal may retrospectively adopt a transaction as if they had originally authorised the Agent to conclude an agreement with the Third Party and so acquires liability under that agreement, an alleged criminal cannot retrospectively adopt an actus reus and acquire guilt.

For this purpose, they engaged Mr. Charles Pettigrew who later became the Principal of the Academy of Edenton in 1733.

They believe Principal Drake ( Bebe Neuwirth ) is the queen and they kill her, but the other hosts remain unaffected.

Later that month, the student editors announced that they were suing the Ithaca City School District, Superintendent Pastel, Principal Wilson, and Assistant Superintendent for Curriculum and Instruction Bill Russell.

Instead of the Academy of Law, they had Law School overseen by a Principal.

There Justice William Joseph Brennan, Jr. noted that the " Principal function of free speech under our system of government is to invite dispute ; it may indeed best serve its high purpose when it induces condition of unrest, creates dissatisfaction with conditions as they are, or even stirs people to anger.

While that film featured a larger " all star " cast ( in fact, Universal had approached several, including Steve McQueen and Paul Newman, to star in Earthquake-but they had already been signed for Inferno ), Universal was able to land Charlton Heston in the lead role, along with Ava Gardner ( who signed at the proverbial " 11th hour " simply because she wanted to spend the summer in Los Angeles ), George Kennedy, Lorne Greene, Geneviève Bujold ( who agreed to a part in the film to head off an impending lawsuit by Universal over a prior project ), Richard Roundtree ( riding a wave of success from the Shaft film series ), former evangelical Marjoe Gortner as an antagonist, and newcomer Victoria Principal.

* There are Percussion ( tuned and untuned ) stops and it is unknown if they are in the Flute, Principal, String, Reed, or Hybrid category.

Duffy continued to act in the occasional guest or voice acting appearance, including the shows Family Guy ( in which he appeared in a live action scene with Victoria Principal as they spoofed the Dallas shower scene ), as well as Justice League and Touched by an Angel.

Here is 2011-2012 St. Mary's High School Principal they are 4 vice-principal, however students who are last name they going to vice-principal offices there are:

A Board of Trade Enquiry that followed at Margate on the 22 ~ 3 December reported, in the closing pages of the Principal Officers statement that, ‘ There can be little doubt that the Margate boatmen are a bold and adventurous race, who think little of the dangers of the sea when afloat ’ but in the same breath underestimated and insulted their zeal and ability with " but I fear that so long as they use a boat such as the Friend to all Nations it will be hopeless to expect them to wear lifebelts, however much it is desired.

The Salyut 6 Principal Expedition 4 crew in the TsUP provided the crew with advice as they made their repairs.

The next day, Principal Snyder forces Buffy and her friends into chaperoning small children while they trick-or-treat.

* The way in which the teaching staff and Principal Skinner divert Lisa from her program by introducing several " public appearances ", and the way in which they trick her to sign a document mirrors the ways of government secretaries in the British sitcom Yes Minister.

Principal crops: melons, garlic and, since they are increasingly encroaching on the fertile agricultural land, pyramids.

Prof. V. T. Srinivasan, the then Principal of Vijaya college, Bangalore was a staunch believer in God and both used to advocate their faith through letters in the Deccan Herald daily. In spite of this they were close friends.

The film itself ends with several twists: initially, it is revealed that the Principal and his elderly female assistant are working as a duo as " The Breather ", even though they are shown at one point in the film in the same room as other characters when the Breather contacts the school to threaten to commit further murders.

Principal Grant's letters on prohibition: as they appeared in the Toronto daily " Globe ", December, 1897, January, 1898.

The ending credits begin with Marge getting phone calls from Principal Skinner ( who saw Bart deliver human eyes in Hong Kong ), the Tennessee State Police ( who report that they found Bart's crushed rental car ), and the courier office ( who need Bart to deliver human kidneys to Amsterdam ).