ref improve date December 2011 one source date December 2011 The Principal of the University of Glasgow is the working head of the University, acting as its chief executive. He is responsible for the day to day management of the University as well as its strategic planning and administration. The Principal is appointed by the University Court and is President of the Academic Senate Senate , the University s supreme academic body. The Principal is normally also created Vice Chancellor of the University, conferring on him the degree awarding powers of the Chancellor of the University of Glasgow Chancellor . Professor Anton Muscatelli succeeded Sir Muir Russell as Principal on 1 October 2009 ref http www.gla.ac.uk news headline 132274 en.html The University of Glasgow News , retrieved 2nd October 2009 ref History From around the foundation of the University in the 15th century there existed the office of the Principal Regent , who was the senior regent of the University, with jurisdiction ... the Principal remains the chief academic officer of the University, President of the Senate, and is permitted to award degrees by virtue of his status as Vice Chancellor. Although the office of Principal is an academic post, the Principal himself is not always an academic, as was the case with Sir ... Patrick Sharp 1615 Robert Boyd universityprincipal Robert Boyd 1622 John Cameron theologian John ... 2003 Muir Russell Sir Muir Russell 2009 Anton Muscatelli col end denotes alumnus See also Principaluniversity Chancellor of the University of Glasgow Rector of the University of Glasgow Ancient university governance in Scotland Resources cite web title University of Glasgow Story The Principal url http www.universitystory.gla.ac.uk officer ?id 3 publisher University of Glasgow work University Story accessdate 7th June 2009 References Reflist University of Glasgow DEFAULTSORT Principal Of The University Of Glasgow Category Principals of the University of Glasgow Category University of Glasgow ... more details
Robert Boyd of Trochrig 1578 1627 was a Scottish theological writer, Principal of the University of Glasgow from 1615 to 1621 and Principal of the University of Edinburgh from 1622 to 1623. Life He was the eldest son of James Boyd of Trochrig , Archbishop of Glasgow , great grandson of Robert Boyd, 1st Lord Boyd , and owner of an estate in Ayrshire , which is variously spelled Trochrig, Trochridge, and Trochorege. He was connected by birth with the noble family of Cassilis, and enjoyed a good social position. He studied at the university of Edinburgh, taking his divinity course under Robert Rollok , and associating himself with presbyterians. In 1604 he was chosen pastor of the church at Verteuil , and in 1606 professor in the academy of Saumur , both in France. Along with the duties of the chair he discharged the office of a pastor in the town, and was afterwards called to the chair of divinity. While at Saumur he married a French woman. James VI and I offered him the principalship of the university of Glasgow, and Boyd moved to Glasgow in 1615. He taught theology, Hebrew, and Syriac, and was preacher to the people of Govan . He was noted for extemporaneous lectures in Latin, and quotations from the Greek fathers from memory. Boyd opposed the five articles of Perth , and lost favour. In 1621 he resigned the principalship and retired to the family house of Trochrig. Invited by the magistrates and people of Edinburgh in 1622 to be principal of the university there and one of the ministers of the city, he accepted. The king then reproved the magistrates for the appointment, and ordered them not only to deprive him of his office, but to expel him from the city unless he should conform absolutely to the articles of Perth. As Boyd refused to comply, he was deprived and expelled ... University Principals years 1622&ndash 1623 after John Adamson universityprincipal John Adamson ... 1578 1627 Category Scottish theologians Category Principals of the University of Edinburgh Category ... more details
before Robert Boyd UniversityPrincipal Robert Boyd title Principals of the University of Edinburgh ... Category People from Perth, Scotland Category Alumni of the University of St Andrews Category Ministers of the Church of Scotland Category Principals of the University of Edinburgh Scotland academic ... more details
Refimprove date December 2009 File John Lee Edinburgh, ca 1850.jpg thumb right John Lee John Lee 22 November 1779 2 May 1859 ref http books.google.com books?id A0EEAAAAQAAJ&pg PA2&dq 22John Lee 22 AND 22Edinburgh 22 AND 221779 22&hl en&ei bpjpTZCtH4nw0gHh2ZmfAQ&sa X&oi book result&ct result&resnum 4&ved 0CDcQ6AEwAw v onepage&q 22John 20Lee 22 20AND 20 22Edinburgh 22 20AND 20 221779 22&f false ref was a United Kingdom British academic and polymath and was the principal of the University of Edinburgh from 1840 to 1859. He was also a Moderators of the General Assembly of the Church of Scotland Moderator of the General Assembly of the Church of Scotland . Lee House in Pollock Halls of Residence is named after him. References Reflist S start S aca Succession box title Edinburgh University Principals before George Husband Baird years 1840 1859 after David Brewster Sir David Brewster S end Persondata Metadata see Wikipedia Persondata . NAME Lee, John ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 22 November 1779 PLACE OF BIRTH DATE OF DEATH 2 May 1859 PLACE OF DEATH DEFAULTSORT Lee, John Category 1779 births Category 1859 deaths Category Principals of the University of Edinburgh Category Scottish theologians Category Moderators of the General Assembly of the Church of Scotland Category Scottish clergy UK academic bio stub UK Christian clergy stub ... more details
Wikify date June 2011 general improvements needed plus links Thomas Barclay , D.D. 1792 1873 , was principal of Glasgow University . Barclay was born in June 1792, at Unst, in Shetland, of which parish his father, the Rev. James Barclay, was minister. He was entered of King s College, Aberdeen , in 1808. Here he attained considerable distinction. He took the degree of M.A. 28 March 1812, and subsequently prosecuted his theological studies for four years, during which he taught elocution at Aberdeen. Later he proceeded to London, where for four years, 1818 22, he acted as one of the parliamentary and general reporters of the Times. He received license to preach the gospel from the presbytery of Lerwick 27 June 1821, and quitted the Times in the following year, when he was presented by Lord Dundas, and ordained 12 September 1822, to the parish of Dunrossness, in Shetland. Here he remained until his presentation by the same patron to the parish of Lerwick in October 1827, to which he was admitted 13 December following. He was elected clerk of the synod of Shetland 27 April 1831. In 1840 Sir Henry Holland heard an admirable sermon from Mr. Barclay, whom he accompanied the next day on a boating excursion to the Isle of Noss. A sudden and furious squall arose. Mr. Barclay was the only one who retained his presence of mind but he, deemed, as Sir Henry Holland says, to be one of the best boatmen in Scotland, seized the tiller, and by his firmness and skill brought us into safety. Sir Henry Holland in 1858, on the occurrence of a vacancy in the principalship of the university of Glasgow ... Lothian, on the presentation of Sir James Gibson Craig, bart., of Riccarton. On 10 February 1849 the university ... system of worship. From the time of his appointment, however, to the principalship of the university ..., his successor, preached a university sermon, In Memoriam, on Sunday, 9 March, which was afterwards ... deaths Category People from Shetland Category Alumni of the University of Aberdeen Category Scottish ... more details
distinguish principle wiktionary principalPrincipal may refer to TOC right Education Principal school , a head of a primary or secondary school Principal academia , a chief executive of a university or college Law Principal commercial law , a person who authorises an agent Principal criminal law , a primary actor in a criminal offense Science Principal Investigator , a lead scientist or engineer for a field Principal value , a value along a chosen branch of a multivalued function Principal branch , a special selected branch of a multivalued function Principal ideal , an ideal with a single generator, and the related concept of principal ideal domains Cauchy principal value , a way of assigning a finite value to improper integrals that seem to diverge Performing arts Principal dancer , a high ranked dancer in a ballet company The Principal, or Diapason, an List of pipe organ stops organ stop on a pipe organ Principal, the lead of a section of an Orchestra Organization orchestra Places Principal, Cape Verde , a village Principal, Ecuador , a parish in Azuay Province , Ecuador linked only in template for parishes of Azuay province Other uses Principal architecture Principal computer security , an entity that can be identified and verified Principal sum , the original amount of a debt or investment on which interest is calculated The Principal , a 1987 action film Principal Financial Group , a life insurance company traded on the NYSE Dean Christianity or principal, the head of a cathedral or collegiate church Principal civil service or principal officer, a senior management grade in Her Majesty s Civil Service People with the surname Victoria Principal , American actress See also lookfrom Principal intitle Principal Disambiguation surname cs Princip l de Principal es Principal fr Principal ro Principal ru ... more details
Infobox Film name The Principal image Principalposter1987.jpg caption Theatrical release poster director Christopher Cain producer Thomas H. Brodek writer Frank Deese starring James Belushi br Louis Gossett, Jr. br Rae Dawn Chong br Kelly Jo Minter Kelly Minter music Jay Gruska cinematography Arthur Albert editing Jack Hofstra distributor TriStar Pictures released September 18, 1987 in film 1987 runtime 109 minutes country US language English gross 19,734,940 USA ref cite web url http www.imdb.com title tt0093780 business title Box office business for The Principal accessdate 2009 08 01 publisher Internet Movie Database ref The Principal is a 1987 in film 1987 action film , starring James Belushi and Louis Gossett, Jr. It was written by Frank Deese and directed by Christopher Cain , and filmed in Oakland, California . Plot Rick Latimer Belushi is a high school teacher with a drinking problem. Spotting his ex wife in a bar one night, Rick gets into a fight with the man she s with, culminating in his beating the hapless man s car with a baseball bat. The board of education finds that Rick s behavior is reflecting poorly on the school district s image. They unanimously decide to transfer him to another school, in another district Brandel High, a crime ridden and gang dominated institution, where he is made the new principal. Believing he can repair his image by cleaning up the school, Rick attempts to have an assembly to declare his intentions No more. No more drugs, running in the hallways ... asks, Hey man, who the hell do you think you are? , Rick responds I m the principal, man and rides away on his motorcycle. Cast James Belushi as Principal Rick Latimer Louis Gossett, Jr. as Head Guard ... Reflist External links IMDb title id 0093780 title The Principal Amg movie 139226 The Principal Christopher Cain DEFAULSORT Principal,The Category 1987 films Category American comedy drama films Category ... El rector de Der Prinzipal Einer gegen alle fr Le Proviseur pt The Principal ru , 1987 ... more details
Other uses Principal disambiguation Principal The Principal is the chief executive and the Provost education chief academic officer of a university or college in certain parts of the Commonwealth of Nations Commonwealth . Canada Queen s University ref http www.queensu.ca principal Office of the Principal , Queen s University , Canada. ref and McGill University ref http www.mcgill.ca principal The Principal and the Vice Chancellor , McGill University , Canada. ref in Canada have Principals instead of University president Presidents , as a result of their Scottish origins. In addition the Royal Military College of Canada , and the Memorial University Campus Sir Wilfred Grenfell College also have principals. England Many colleges of further education in England have a Principal in charge e.g. ... 152 A New Principal for Swindon College , Swindon College , UK. ref and West Nottinghamshire College ref Janet Murray, http www.guardian.co.uk education 2008 jun 03 furthereducation The college principal . The Guardian , 3 June 2008. ref . At Oxford University , many of the heads of colleges ref http www.ox.ac.uk colleges colleges and halls az Colleges and Halls A Z , University of Oxford , UK. ref are known as the Principal, including Brasenose College, Oxford Brasenose , Green Templeton College ..., Oxford St Hugh s , and Somerville College, Oxford Somerville . At Cambridge University , heads of Newnham College, Cambridge Newnham College are known as the Principal. At Durham University , the heads of most of the colleges are known as the Principal. Scotland See also Ancient university governance in Scotland In Scotland the Principal is appointed by the University Court or governing body of the University and will be chairman or president of the body of academics. In the case of the ancient universities of Scotland the Principal is President of the Academic Senate . The Principal ... ruler titular posts. See also Principal school References reflist bn Category Academic administration ... more details
Principal axis may refer to Principal axis mechanics Aircraft principal axes Principal axis theorem Spectral theorem Principal axes of a Matrix Principal axis crystallography Optical axis disambig es Direcci n principal pt Dire o principal ... more details
The Principal Secretary is a senior government official in various Commonwealth countries. Principal Secretary Canada Principal Secretary India disambig ... more details
an honorary degree from Drexel University s Business School. In 2003, Principal became a member ...Infobox person name Victoria Principal image Victoria Principal at the 39th Emmy Awards cropped.jpg caption Principal at the 1987 Emmy Awards birth name Victoria Principal birth date Birth date and age ... 1972 present Victoria Principal born January 3, 1950 please do not remove 1950 without providing an authoritative citation ref Interviews of Principal at UltimateDallas from http www.ultimatedallas.com ... nighttime TV drama Dallas TV series Dallas from 1978 to 1987. Biography Early life Principal was born in Fukuoka , Japan , the eldest daughter of United States Air Force sergeant Victor Principal ... jail time. Principal spent months in recovery and was faced with the prospect of having to take her ... 15. ref Personal life Principal met Christopher Skinner in 1978 when he played a bit role on Dallas ... drugs Principal split with Gibb in March 1982. ref http www.youtube.com watch?v fh5kqh9TePo Appearance with Phil Donahue May 26, 2006 , YouTube ref Principal married Harry Glassman in June 1985. The couple divorced in December 2006 with Principal stating, We have had a loving relationship for over ... She later moved to Malibu, California Malibu . ref http www.tmz.com 2010 01 21 victoria principal legal apology maid settlement lawsuit Reportage on Principal per TMZ , TMZ Staff January 21, 2010 . ref She also has homes in Big Sur Big Sur, California and in Switzerland . In 2006, Principal formed a charitable ... 1978. ref Michael d Estries November 9, 2009 . http www.ecorazzi.com 2009 11 09 victoria principal donates 25k for forest restoration efforts Victoria Principal donates 25k for Forest Restoration ... index.jsp?uuid cf30b4a3 007a 43ce af52 f3030f9b1a1e Victoria to Be Principal Character in Space at EOnline.com ref Principal stated Going into space fulfills many desires I have of seeing the planet ... www.cnn.com 2009 SHOWBIZ 12 08 victoria.teacher.space index.html Victoria Principal to go into Space ... more details
of principal curvatures In differential geometry , the two principal curvatures at a given ... have different curvature s for different normal planes at p . The principal curvatures ... Euler 1760 , and are called principal directions . From a modern perspective, this theorem follows from the spectral theorem because they can be given as the principal axes of a symmetric tensor &mdash the second fundamental form . A systematic analysis of the principal curvatures and principal ... 2 sub of the two principal curvatures is the Gaussian curvature , K , and the average k sub 1 sub k sub 2 sub 2 is the mean curvature , H . If at least one of the principal curvatures is zero at every ... X sub 1 sub , X sub 2 sub of tangent vectors at p . Then the principal curvatures are the eigenvalues ... ij sub is a diagonal matrix, then they are called the principal directions . If the surface is orientation ... basis, the principal curvatures are the eigenvalue s of the shape operator , and the principal ... spaces, the principal curvatures may be defined in a directly analogous fashion. The principal curvatures ... in an orthonormal basis of the tangent space. The principal directions are the corresponding eigenvectors. Similarly, if M is a hypersurface in a Riemannian manifold N , then the principal curvatures are the eigenvalues of its second fundamental form. If k sub 1 sub , ..., k sub n sub are the n principal ... eigenvectors principal directions , then the sectional curvature of M at p is given by math K X i,X j k ik j. math Classification of points on a surface At elliptical points, both principal curvatures have the same sign, and the surface is locally convex. At umbilic points, both principal curvatures are equal and every tangent vector can be considered a principal direction. These typically occur in isolated points. At hyperbolic points, the principal curvatures have opposite signs, and the surface will be locally saddle shaped. At parabolic points, one of the principal curvatures is zero ... more details
A principal direction can be one of the following Principal curvature Principal directions In differential geometry, one of the directions of principal curvature. List of gear nomenclature Principal directions Principal directions a term used in gear nomenclature. In stress analysis, a set of axes where the normal stress vector is maximized. See Stress mechanics Principal stresses and stress invariants Stress mechanics disambig ... more details
University Press location Princeton year 1951 isbn 0 691 00548 6 DEFAULTSORT Principal Bundle Category ...In mathematics , a principal bundle ref cite book last Steenrod first Norman title The Topology of Fibre Bundles publisher Princeton University Press location Princeton year 1951 isbn 0 691 00548 6 page ... last2 Michelsohn first2 Marie Louise title Spin Geometry publisher Princeton University Press ... group G . In the same way as with the Cartesian product, a principal bundle P is equipped with An group ... space, principal bundles lack a preferred choice of identity cross section they have no preferred ... of the space. A common example of a principal bundle is the frame bundle F E of a vector bundle ... lacks a canonical choice of identity cross section. Principal bundles have important applications ... part of the foundational framework of gauge theory gauge theories . Principal bundles provide a unifying ... group G determine a unique principal G bundle from which the original bundle can be reconstructed. Formal definition A principal G bundle, where G denotes any topological group , is a fiber bundle P ... definition of a principal G bundle is as a G bundle P X with fiber G where the structure group acts ... topological spaces. One can also define principal G bundles in the category mathematics category ... example of a smooth principal bundle is the frame bundle of a smooth manifold M , often denoted .... These fibers can be glued together in a natural way so as to obtain a principal GL n , R ... bundle if E is any vector bundle of rank k over M , then the bundle of frames of E is a principal GL k , R bundle, sometimes denoted F E . A normal regular covering space p C X is a principal ... space Monodromy action monodromy action . In particular, the universal cover of X is a principal bundle ... normal subgroup normal . Then G is a principal H bundle over the left coset space G H . Here the action ... the projection S sup 1 sup S sup 1 sup given by z z sup 2 sup . This principal Z sub 2 sub ... more details
In telecommunication s, the principal clock of a set of redundant clock s, is the clock that is selected for normal use. The principal clock may be selected because of a property, e.g. superior accuracy , that makes it a unique member of the set. The term principal clock should not be confused with, or used as a synonym for, the term primary frequency standard . References FS1037C MS188 Category Synchronization Category Clocks ... more details
In type theory , a type system is said to have the princial type property if, given a term and an environment, there exists a principal type for this term in this environment, ie. a type such that all other types for this term in this environment are an instance type theory instance of the principal type. The principal type property is a desirable one for a type system, as it provides a way to type expressions in a given environment with a type which encompasses all of the expressions possible types, instead of having several incomparable possible types. Type inference for systems with the principal type property will usually attempt to infer the principal type. For instance, the ML programming language ML system has the principal type property and principal types for an expression can be computed by Robinson s unification algorithm , which is used by the Hindley&ndash Milner type inference algorithm. However, many extensions to the type system of ML, such as polymorphic recursion , can make the inference of the principal type undecidable. Other extensions, such as Haskell programming language Haskell s generalized algebraic data type s, destroy the principal type property of the language, requiring the use of type annotation s or the compiler to guess the intended type from among several options. The principal type property should not be confused with the principal typing property which requires that, given a term, there exist a typing ie. a pair with a context and a type which is an instance of all possible typings of the term ref http trevorjim.com papers principal typings.ps.gz ref . References Reflist type theory stub Category Type theory Category Type inference ... more details
Infobox Simpsons episode episode name The Principal and the Pauper image File The Simpsons 4F23.png 235px ... Weinstein br Ken Keeler br Steven Dean Moore season 9 The Principal and the Pauper is the second episode ... web url http www.thesimpsons.com recaps season 9 episode 2 title The Principal and the Pauper accessdate ... his twentieth anniversary as principal of Springfield Elementary School when a man arrives claiming that Skinner has assumed his identity. Principal Skinner admits that his real name is Armin Tamzarian ... url http www.bbc.co.uk cult simpsons episodeguide season9 page2.shtml title The Principal and the Pauper author Martyn, Warren Wood, Adrian year 2000 accessdate 2007 12 14 publisher BBC ref The Principal ... reacted negatively to the revelation that Principal Skinner, a recurring character since the first ... Shearer , who provides the voice of Principal Skinner. Despite this, Ken Keeler considers the episode ... the episode. Plot On the eve of his twentieth anniversary as school principal, Seymour Skinner is lured ... Seymour Skinner. Principal Skinner soon admits that he is an impostor, and that his real ... Armin that his dream was to become an elementary school principal after the war. Later, Seymour was declared ... the chance to realize his dream and take over as school principal. He takes the job, but the townspeople ... Joe Quimby Mayor Quimby and all the other citizens to allow Armin to resume his assumed identity as Principal ... to as Seymour Skinner, that he will return to his job as school principal, and that no one shall ... right upright thumb Martin Sheen, who provided the voice for the real Seymour Skinner The Principal ... or the 1993 film Sommersby . ref name Keeler Keeler, Ken. 2006 . Commentary for The Principal and the Pauper ... . ref name Moore Moore, Steven Dean. 2006 . Commentary for The Principal and the Pauper , in The Simpsons ... Producers Bill Oakley and Josh Weinstein were excited about the episode because Principal Skinner ... backstory and his homelife . ref name Oakley Oakley, Bill. 2006 . Commentary for The Principal ... more details
For the other Simpsons character of the same name The Principal and the Pauper Simpsons character name Seymour Skinner image Image Seymour Skinner.png 200px gender Male job Principal education Principal ... Skinner Agnes Skinner appearance Simpsons Roasting on an Open Fire voiceactor Harry Shearer Principal W. Seymour Skinner born The Principal and the Pauper Armin Tamzarian ref IMDb title 701257 The Principal and the Pauper ref ref cite web url http www.thesimpsons.com episode guide 0902.htm title The Principal ... The Simpsons . He is voiced by Harry Shearer . Born in Capitol City, he is the Principal education principal of Springfield Elementary School . He struggles to control the crumbling school and is constantly ... and Selma Bouvier Patty Bouvier , ref cite episode title Principal Charming episodelink Principal ... The Principal and the Pauper revolutionises Skinner s back story, revealing that Skinner is an imposter ... of becoming a school principal. The real Seymour Skinner voiced by Martin Sheen , had been alive after ... Principal, but had proved hopelessly unpopular and the Springfielders ran him out of town on the railroad ... s increasingly gimmicky and nonsensical plots . Character Creation Principal Skinner first appeared ... . ref name Reiss1 Reiss, Mike. 2002 . Commentary for Principal Charming , in The Simpsons The Complete .... ref name Groening1 Groening, Matt. 2002 . Commentary for Principal Charming , in The Simpsons The Complete ... for Whacking Day , in The Simpsons The Complete Fourth Season DVD . 20th Century Fox. ref The Principal and the Pauper In The Principal and the Pauper it is revealed that Skinner was not who he .... 2006 . Commentary for The Principal and the Pauper , in The Simpsons The Complete Ninth Season ... because Principal Skinner was one of their favorite characters. They spent a month immersed in the mind ... was revealed to be an impostor. ref name Oakley Oakley, Bill. 2006 . Commentary for The Principal ... that Principal Skinner was an impostor and the self referential deus ex machina ending were negatively ... more details
unreferenced date August 2011 The principal musician in an orchestra or other large musical ensemble is the leader of the group of musicians playing that instrument. Every instrumental group or section has a principal who is generally responsible for leading the group and playing orchestral solos. The violin s are divided into two groups, first violin and second violin, each with its principal. The principal first violin is called the concertmaster or leader in the UK and is considered the leader of not only the string section , but of the entire orchestra, subordinate only to the Conducting conductor . music stub Category Musical terminology ... more details
Unreferenced date November 2007 In the field of law , the term undisclosed principal relates mainly to the liability of an agent law agent for obligations incurred on behalf of a principal. If the agent does not disclose the nature of his agency the fact that he acts on behalf of another and thus does not disclose the name of the principal, the agent may be held personally liable for his actions. If, however, the agent disclosed his agency and the name of the principal disclosed principal , he will normally not be held liable for commitments undertaken within his authorized agency. A dummy buyer may sometimes have an undisclosed principal. law term stub Category Agency law ... more details
Unreferenced date December 2009 Portal Anglicanism Principal Feasts are a type of observance in some Churches of the Anglican Communion , including the Church of England . Along with Principal Holy Day s, with which they share equal status, they are considered to be the most significant type of observance, the others being Festival Church of England Festival s, Lesser Festival s, and Commemoration Church of England Commemoration s. In common with Principal Holy Days, their observance is obligatory. The Anglican Principal Feasts and Principal Holy Days are somewhat comparable to Roman Catholic solemnities and holy days of obligation. Principal Feasts Epiphany Christian The Epiphany Presentation of Jesus at the Temple The Presentation of Christ in the Temple Candlemas Annunciation The Annunciation of Our Lord to the Blessed Virgin Mary Easter Easter Day Ascension of Jesus Christ Ascension Day Pentecost Day of Pentecost Trinity Sunday All Saints All Saints Day Christmas Christmas Day See also Principal Holy Day s Ash Wednesday , Maundy Thursday , and Good Friday Festival Church of England Lesser Festival Commemoration observance Category Christian festivals and holy days Category Church of England festivals ... more details
about the mathematical meaning the grammar term a list of verb forms Principal parts In mathematics , the principal part has several independent meanings, but usually refers to the negative power portion of the Laurent series of a function. Laurent series definition The principal part at math z a math of a function math f z sum k infty infty a k z a k math is the portion of the Laurent series consisting of terms with negative degree. That is, math sum k infty 1 a k z a k math is the principal part of math f math at math a math . math f z math has an essential singularity at math a math , if and only if the principal part is an infinite sum. Other definitions Calculus Consider the difference between the function differential mathematics differential and the actual increment math frac Delta y Delta x f x varepsilon math math Delta y f x Delta x varepsilon Delta x dy varepsilon Delta x math The differential mathematics differential dy is sometimes called the principal linear part of the function increment y . Distribution theory The term principal part is also used for certain kinds of distribution mathematics distributions having a singular support at a single point. See also Mittag Leffler s theorem Cauchy principal value External links http planetmath.org encyclopedia CauchyPrinciplePartIntegral.html Cauchy Principal Part at PlanetMath Category Complex analysis Category Generalized functions mathanalysis stub pl Cz g wna ... more details
In ring theory , a branch of abstract algebra , a principal ideal is an ideal ring theory ideal I in a ring mathematics ring R that is generated by a single element a of R . More specifically a left principal ideal of R is a subset of R of the form Ra ra r in R a right principal ideal is a subset of the form aR ar r in R a two sided principal ideal is a subset of the form RaR r sub 1 sub as sub 1 sub ... to write the ideal generated by a as a . Not all ideals are principal. For example, consider the commutative ... in C x , y that have 0 number zero for the constant term , is not principal. To see this, suppose ... . A ring in which every ideal is principal is called principal , or a principal ideal ring . A principal ideal domain PID is an integral domain that is principal. Any PID must be a unique factorization ... principal ideals in a commutative ring have a greatest common divisor in the sense of ideal multiplication. In principal ideal domains, this allows us to calculate greatest common divisors of elements ... of the ideal a , b . For a Dedekind domain R , we may also ask, given a non principal ideal I of R , whether there is some extension S of R such that the ideal of S generated by I is principal said more loosely, I becomes principal in S . This question arose in connection with the study of rings ... of class field theory by Teiji Takagi , Emil Artin , David Hilbert , and many others. The principal ideal theorem principal ideal theorem of class field theory states that every integer ring ... that every ideal of R becomes a principal ideal of S . In this theorem we may take S to be the ring ... of the fraction field of R , and this is uniquely determined by R . Krull s principal ideal theorem states that if R is a Noetherian ring and I is a principal, proper ideal of R , then I has height ring theory height at most one. See also Ascending chain condition for principal ideals References ... ca Ideal principal cs Hlavn ide l teorie okruh de Hauptideal es Ideal principal fr Id al principal ... more details
In larger school systems, a Head teacher principal is often assisted by someone known as a vice principal Republic of Ireland deputy principal or assistant principal . Unlike the principal, the vice principal does not have quite the decision making authority that the principal carries. Although they still carry nearly the same authority among students, vice principals do not have the same power on the board. Experience as an assistant principal is often a prerequisite for advancement to a principalship. Job Description blockquote Assistant principals aid the principal in the overall administration of the school. Some assistant principals hold this position for several years to prepare for advancement to principal jobs others are career assistant principals. They are primarily responsible for scheduling student classes, ordering textbooks and supplies, and coordinating transportation, custodial, cafeteria, and other support services. They usually handle student discipline and attendance problems, social and recreational programs, and health and safety matters. They also may counsel students on personal, educational, or vocational matters. With the advent of site based management, assistant ... previously assumed solely by the principal. The number of assistant principals that a school ..., in the event that something happens to the principal, such as an extended leave of absence, the assistant principal would act as the interim principal. Because of this, many see this position as a stepping stone to the larger role of principal and is often used as such. In most schools, the vice principal forgoes all teaching duties in order to address broader educational issues. See also Head teacher Principal school References reflist External Links http www.ascd.org portal site ascd menuitem.beab42d78ce93287572011d3e3108a0c ..., Assistant Principal http www.bls.gov oco ocos007.htm US Department of Labor Bureau of Labor Statistics ... Association Drive, Reston, VA 20191 1537 Category Vice offices Principal Category Educational leadership ... more details
File Sarah Lamb Fin du jour.jpg thumb Sarah Lamb , a principal dancer with the Royal Ballet in London. A principal dancer often shortened to principal is a dancer at the highest rank within a professional dance company , particularly a ballet company . ref cite web url http answers.yahoo.com question index?qid 20090405144806AAnVRhX title What is a principal dancer? accessdate March 04, 2011 work Yahoo Answers publisher Yahoo ref A principal may be male or female. The position is similar to that of Soloist ballet soloist however, principals are hired by or promoted from within a company to regularly perform not only solo dance solos , but also pas de deux . It is a coveted position in the company and the most prominent position a dancer can receive. The term is used mostly in ballet but can be used in other forms as well, such as modern dance . The terms prima ballerina , premier danseur , and premi re danseuse have been used to denote similar levels of prominence. They are usually the star of the ballet. The term senior principal dancer is sometimes used as well. ref cite web url http www.ballet.org.uk senior principal dancer title Senior Principal dancer accessdate March 04, 2011 publisher English National Ballet ref References reflist Ballet Category Ballet occupations dance stub de Primaballerina fr toile ballet fr Premier danseur pl Primabalerina ru sr sv toile ... more details
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