Formally organized vocational programs supported by federal funds allow high school students to gain experience in a field of work which is likely to lead to a full-time job on graduation.

Formally, a binary operation on a set S is called associative if it satisfies the associative law:

Formally, their designation is the letter Ž and the number.

Formally, a topological space X is called compact if each of its open covers has a finite subcover.

Formally, the set of all context-free languages is identical to the set of languages accepted by pushdown automata ( PDA ).

Formally, the derivative of the function f at a is the limit

More rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,

Formally, the base is known as Naval Support Facility Diego Garcia ( the US activity ) or Permanent Joint Operating Base ( PJOB ) Diego Garcia ( the UK's term ).

Formally, there is a clear distinction: " DFT " refers to a mathematical transformation or function, regardless of how it is computed, whereas " FFT " refers to a specific family of algorithms for computing DFTs.

Formally, oxidation state is the hypothetical charge that an atom would have if all bonds to atoms of different elements were 100 % ionic.

Formally, a bifunctor is a functor whose domain is a product category.

Formally, a set S is called finite if there exists a bijection

Formally, the system is said to have memory.

Formally, an inner product space is a vector space V over the field together with an inner product, i. e., with a map

Formally, if M is a set, the identity function f on M is defined to be that function with domain and codomain M which satisfies

* Formally, when working over the reals, as here, this is accomplished by considering the limit as ε → 0 ; but the " infinitesimal " language generalizes directly to Lie groups over general rings.

Formally, a profinite group is a Hausdorff, compact, and totally disconnected topological group: that is, a topological group that is also a Stone space.

Formally, this sharing of dynamics is referred to as universality, and systems with precisely the same critical exponents are said to belong to the same universality class.

Formally, a frame is defined to be a lattice L in which finite meets distribute over arbitrary joins, i. e. every ( even infinite ) subset

Formally, Φ = kx − ωt is the phase.

Formally styled as " Excelentísimo e Ilustrísimo Señor Profesor Doctor Don N, Rector Magnífico de la Universidad de X " ( Most Excellent and Illustrious Lord Professor Doctor Don N, Rector Magnificus of the University of X ), it is an office of high dignity within Spanish society, usually being highly respected.

A constituent, James Stewart, once commented to a friend who wrote this letter, "... he ( Stewart ) had come mainly to see one Jardine, an enormous Laird from Applegarth Parish and China, and a very good man ; who is understood to be dangerously ill at present.

The current Laird of the Keir estate is his nephew Archie Stirling, a millionaire businessman and former Scots Guards officer.

The Scottish title Laird is a shortened form of ' laverd ' which is an old Scottish word deriving from an Anglo-Saxon term meaning ' Lord ' and is also derived from the middle English word ' Lard ' also meaning ' Lord '.

' Laird ' is a hereditary title for the owner of a landed estate in the United Kingdom and is a title of gentry.

In different variations, Tam Lin is reportedly the grandson of The Laird of Roxburgh, the Laird of Foulis, the Earl of Forbes or the Earl of Murray.

Informally, when referring to a Scots feudal baron in the third person, the name Laird of is used or simply.

Melvin Robert " Bom " Laird ( born September 1, 1922 ) is an American politician and writer.

His niece is Jessica Laird Doyle, wife of former Wisconsin Governor Jim Doyle.

Laird publicized Vietnamization widely ; in his final report as secretary of defense in early 1973, he stated: " Vietnamization ... today is virtually completed.

* Drum-Founded in 1893 by John W. Laird, Drum is located just south of the Route T and Route F intersection east of Glennon.

Laird Cottage is a restored 1870 residence with a mix of the Greek Revival and Italianate styles.

Laird Township is a civil township of Houghton County in the U. S. state of Michigan.

Neptune City also owns four parks, Memorial Park which is located along the Shark River, Laird Avenue Park, the first playground built in Neptune City, Joe Freda Park, which is located on Third Avenue, and Adams Field, which is located on West Sylvania Avenue.

It is said that " Manor " was added to the village's name after Law's friend Andrew Carnegie jokingly referred to Law as the " Laird of Briarcliff Manor " and the name stuck.

In addition to the time changes for the twelfth season, a new four-part story arc is introduced with MacMurray in a second role, that of his cousin, the Laird ( Lord ) Ferguson McBain Douglas of Sithian Bridge.

The screenplay by Laird Doyle is based on his story Hard Luck Dame.

Richard Quentin ' Rick ' Laird is a jazz musician, born on 5 February 1941.

Richard Laird, as he is known in the art world, recently ( March 2009 ) came across a collection of photographs in a file cabinet that he had taken in years past of legendary jazz artists but had mostly forgotten about.

She is married to a Scottish Laird, Gabriel MacBain, to escape England, but is harassed by both King John's barons and the English faction hoping to take down King John, each party unsure of how much she knows.

* The wife of a Laird or a woman who holds a lairdship in her own right is normally styled " Lady " and is formally styled as " The Much Honoured of " or " The Much Honoured The Lady " or " The Much Honoured, Lady "