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Formally, the group was called Studiengesellschaft für Geistesurgeschichte ‚ Deutsches Ahnenerbe e. V.

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## Some Related Sentences

Formally and group

__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 means symmetry under a sub-group of

**the**Euclidean

__group__of isometries in two or three dimensional Euclidean space

**.**

__Formally__

**,**collective noun forms such as “ a

__group__of people ” are represented by second-order variables

**,**or by first-order variables standing for sets ( which are well-defined objects in mathematics and logic ).

Informally

**,**G has**the**above presentation if it is**the**" freest__group__" generated by S subject only to**the**relations R**.**__Formally__**,****the**__group__G is said to have**the**above presentation if it is isomorphic to**the**quotient of a free__group__on S by**the**normal subgroup generated by**the**relations R**.**__Formally__

**,**a ring is an Abelian

__group__( R

**,**+), together with a second binary operation * such that for all a

**,**b and c in R

**,**

* Blades ( hip-hop

__group__) (__Formally__Blades Of Hades ), Australian hip hop__group__from Newcastle**,**New South Wales__Formally__

**,**a frieze

__group__is a class of infinite discrete symmetry groups for patterns on a strip ( infinitely wide rectangle ), hence a class of groups of isometries of

**the**plane

**,**or of a strip

**.**

__Formally__

**,**

**the**Mahalanobis distance of a multivariate vector from a

__group__of values with mean and covariance matrix is defined as:

__Formally__

**,**let G be a Coxeter

__group__with reduced root system R and k < sub > v </ sub > a multiplicity function on R ( so k < sub > u </ sub > = k < sub > v </ sub > whenever

**the**reflections σ < sub > u </ sub > and σ < sub > v </ sub > corresponding to

**the**roots u and v are conjugate in G ).

__Formally__

**,**define

**the**set of lines in

**the**plane P as L ( P ); then a rigid motion of

**the**plane takes lines to lines –

**the**

__group__of rigid motions acts on

**the**set of lines – and one may ask which lines are unchanged by an action

**.**

__Formally__Roman Kalyn is now

**the**only member of

**the**

__group__

**,**but de-facto GreenJolly exists in name only

**.**

__Formally__

**,**a redistribution of all agents ’ initial endowments of goods among all agents in

**the**system is a core allocation if no

__group__of agents can redistribute their own initial endowments among themselves so as to improve

**the**satisfaction of someone in

**the**

__group__without impairing that of any other in

**the**

__group__

**.**

__Formally__

**,**this meant that

**the**whole peloton finished out of time limits

**,**but

**the**referees understandably used a rule saying that they could give clemency to any

__group__of more than 20 % of

**the**stage's starting riders

**,**officially citing

**the**weather conditions as their reason to do so

**.**

__Formally__

**,**a signed graph Σ is a pair ( G

**,**σ ) that consists of a graph G = (

**V**

**,**E ) and a sign mapping or signature σ from E to

**the**sign

__group__

Formally and was

__Formally__

**the**Prince-Electors elected a King of

**the**Romans

**,**who

__was__elected in Germany but became Holy Roman Emperor only when crowned by

**the**Pope

**.**

__Formally__named " United Press Associations " for incorporation and legal purposes

**,**but publicly known and identified as United Press or UP

**,**it

__was__created by

**the**1907 uniting of three smaller news syndicates by

**the**Midwest newspaper publisher E

**.**W

**.**Scripps

**.**

In late 1900s

**the**day that of**the**City__was__founded is Jakin School is a Private School is__Formally__Part of Jakin School Board__was__Grades One through Twelve there is no Football field on this school**.**In 1966 When Jakin School__was__Closed were Sent to Blakely-Union Elementary**,**Junior High**,**and High School ( which later Became Early County High**,**Middle**,**and Elementary School ). while Carver school__was__built for African-American students grades One through Twelve**.**although late 1960s when Carver school__was__closed along with Kestler School__was__based in Damascus were sent to Washington High & Elementary at Blakely**.**In addition to small farm agriculture**,**Jakin's early economic growth resulted from turpentine**.**__Formally__

**,**it

__was__ceded to Russia in

**the**Treaty of Nystad in 1721

**,**together with Swedish Estonia and Swedish Ingria

**.**

__Formally__declared on October 9

**,**1970

**,**

**the**Khmer Republic

__was__a right-wing pro-United States military-led government headed by General Lon Nol and Prince Sisowath Sirik Matak that took power in

**the**March 18

**,**1970 coup against Prince Norodom Sihanouk

**,**then

**the**country's head of state

**.**

__Formally__it

__was__part of Serbia

**,**but it actually

__was__a virtually separate autonomous region ruled by its German minority

**.**

__Formally__known as Motion Picture Distribution LP

**,**it

__was__re branded and relaunched in 2007 due to

**the**break-up of its preceding company

**,**Alliance Atlantis

**,**which

__was__sold off piece by piece to Canwest Global

**,**GS Capital Partners

**,**along with several other smaller companies

**.**

__Formally__

**,**

**the**Cisalpine Republic

__was__an independent state allied with France

**,**but

**the**treaty of alliance established

**the**effective subalternity of

**the**new republic to France

**.**

__Formally__known as Sportsdesk

**,**it

__was__re-vamped to closer resemble ESPN's own SportsCenter ( including

**the**use of its theme music

**,**logo

**,**and opening ) in

**the**Fall of 2001 as part of a corporate restructuring

**,**closer aligning itself with new minority owner ESPN

**.**

__Formally__speaking

**,**

**the**opportunity

__was__extended to all classes to join China's project on its Leninist terms

**.**

__Formally__known as

**the**Inverurie Parish Church

**,**a split in Church of Scotland over

**the**appointment of ministers in 1843 ( The Disruption ) led to

**the**creation of

**the**West Parish Church ( known locally as " The West Kirk ") which

__was__founded as a Free Church ( a church free from Edinburgh control ) thus causing

**the**Inverurie Parish Church to change its name

**.**

__Formally__a member of

**the**country's collective head of state and

**,**as president of parliament

**,**holder of

**the**third-highest office

**,**he

__was__left with little political influence

**.**

Formally and called

__Formally__speaking

**,**a collation method typically defines a total order on a set of possible identifiers

**,**

__called__sort keys

**,**which consequently produces a total preorder on

**the**set of items of information ( items with

**the**same identifier are not placed in any defined order ).

__Formally__

**,**these reside in a complex separable Hilbert space-variously

__called__

**the**" state space " or

**the**" associated Hilbert space " of

**the**system-that is well defined up to a complex number of norm 1 (

**the**phase factor ).

__Formally__

**,**if is an open subset of

**the**complex plane

**,**a point of

**,**and is a holomorphic function

**,**then is

__called__a removable singularity for if there exists a holomorphic function which coincides with on

**.**

__Formally__

**,**we have for

**the**approximation to

**the**full solution A

**,**a series in

**the**small parameter ( here

__called__), like

**the**following:

__Formally__

**,**they are partial derivatives of

**the**option price with respect to

**the**independent variables ( technically

**,**one Greek

**,**gamma

**,**is a partial derivative of another Greek

**,**

__called__delta ).

__Formally__

**,**however

**,**a face is any of

**the**lower dimensional boundaries of

**the**polytope

**,**more specifically

__called__an n-face

**.**

__Formally__

**,**a hypergraph is a pair where is a set of elements

__called__nodes or vertices

**,**and is a set of non-empty subsets of

__called__hyperedges or edges

**.**

__Formally__

**,**a Lie superalgebra is a ( nonassociative ) Z < sub > 2 </ sub >- graded algebra

**,**or superalgebra

**,**over a commutative ring ( typically R or C ) whose product

**,**

__called__

**the**Lie superbracket or supercommutator

**,**satisfies

**the**two conditions ( analogs of

**the**usual Lie algebra axioms

**,**with grading ):

__Formally__

**,**a Hopf algebra is a ( associative and coassociative ) bialgebra H over a field K together with a K-linear map S: H → H (

__called__

**the**antipode ) such that

**the**following diagram commutes:

__Formally__

**,**an ultrametric space is a set of points with an associated distance function ( also

__called__a metric )

__Formally__

**the**neutral is

__called__

**the**“ grounded conductor ”; as of

**the**2008 NEC

**,**

**the**terms “ neutral conductor ” and “ neutral point ” have been defined in

**the**Code to record what had been common usage

**.**

__Formally__

**,**

**the**game ( coalitional game ) consists of a finite set of players

**,**

__called__

**the**grand coalition

**,**and a characteristic function denotes

**the**power set of .</ ref > from

**the**set of all possible coalitions of players to a set of payments that satisfies

**.**

__Formally__

__called__

**the**Final Declaration of

**the**Stresa Conference

**,**its aim

**was**to reaffirm

**the**Locarno Treaties and to declare that

**the**independence of Austria " would continue to inspire their common policy ".

__Formally__

__called__"

**the**Wigwam ", this immense edifice

**was**located on Girard Avenue between 19th and 20th Streets

**,**across from Philadelphia's Girard College

**.**

__Formally__

**,**

**the**Ministry of Aeronautics

**was**founded on January 20

**,**1941 and so its military branch

__called__" National Air Forces ", changed to " Brazilian Air Force " ( Força Aérea Brasileira-FAB ) on May

**,**22

**.**

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