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Formally, this is described in algebraic notation like this: ( 19 + 1 ) + ( 15 − 1 ) = x, but even a young student might use this technique without calling it algebra.

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## Some Related Sentences

Formally and is

__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__

**,**the set of all context-free languages

__is__identical to the set of languages accepted by pushdown automata

**(**PDA ).

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__

**,**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 and described

__Formally__

**,**the outcomes Y < sub > i </ sub > are

__described__as being Bernoulli-distributed data

**,**where each outcome

**is**determined by an unobserved probability p < sub > i </ sub > that

**is**specific to the outcome at hand

**,**

**but**related to the explanatory variables

**.**

__Formally__the Guild of Fools and Joculators and College of Clowns

**(**

__described__

**in**Wyrd Sisters and appears

**in**Men at Arms and Making Money

**)**

__Formally__

**,**Mbenga – Mbuti Pygmy music consists of at most only four parts

**,**and can be

__described__as an

**,**" ostinato with variations ," or similar to

**a**passacaglia

**,**

**in**that

**it**

**is**cyclical

**.**

__Formally__

__described__

**in**Stephen Gilligan's article

**:**The relational self

**:**the expanding of love beyond desire

**(**1996 ), and expanded on

**in**his book

**:**The Courage to Love

**(**1997 ),

**it**has become

**a**major new approach

**in**psychotherapy and healing

**.**

__Formally__

**,**an Hamiltonian system

**is**

**a**dynamical system completely

__described__by the scalar function

**,**the Hamiltonian

**.**

__Formally__

__described__

**,**

**it**alternates slow sections

**in**

**a**modal F with faster sections

**,**" Neue Kraft fühlend "

**(**with renewed strength ),

**in**D

**.**The slow sections each have two elements

**,**

**(**

**1**

**)**

**a**passage reminiscent of the opening of the first movement

**in**which the instruments overlap each other with

**a**brief motive ;

**(**2

**)**

**a**chorale

**,**the actual song

**.**

Formally and algebraic

__Formally__

**,**Liouville numbers and elementary numbers contain the

__algebraic__numbers

**,**and they include some

**but**not all transcendental numbers

**.**

__Formally__

**,**an

__algebraic__function

**in**n variables over the field K

**is**an element of the

__algebraic__closure of the field of rational functions K

**(**

**x**< sub >

**1**</ sub >,...,

**x**< sub > n </ sub >).

Formally and notation

__Formally__

**,**an nth order approximation

**is**one where the order of magnitude of the error

**is**at most

**,**or

**in**terms of big O

__notation__

**,**the error

**is**

Formally and like

__Formally__

**,**we have for the approximation to the full solution A

**,**

**a**series

**in**the small parameter

**(**here called ),

__like__the following

**:**

Formally and 19

__Formally__known as the Organisation internationale de la Francophonie

**(**OIF

**)**or the International Organization of the Francophonie

**,**the organization comprises 56 member states and governments

**,**3 associate members

**,**and

__19__observers

**.**

__Formally__known as Crown Point Airport

**,**the airport was renamed the Arthur Napoleon Raymond Robinson International Airport on May

__19__

**,**2011

**in**honour of the only Prime Minister and President from the island of Tobago

**.**

__Formally__known as the Federal Reserve Wire Network

**,**Fedwire

**is**

**a**Real Time Gross Settlement Funds Transfer system operated by the United States Federal Reserve Banks that enables financial institutions to electronically transfer funds between its more than 9

**,**289 participants

**(**as of March

__19__

**,**2009 ).

Formally and +

__Formally__

**,**the theorem

**is**stated as follows

**:**There exist unique integers q and r such that

**a**

**=**qd

__+__r and 0 ≤ r < | d |, where | d | denotes the absolute value of d

**.**

**a**< sub > i </ sub >,

**a**< sub > i

__+__

**1**</ sub >,..., which

**is**

**a**suffix of w

**.**

__Formally__

**,**the satisfaction relation between

**a**word and an LTL formula

**is**defined as follows

**:**

__Formally__

**,**

**a**complex projective space

**is**the space of complex lines through the origin of an

**(**n

__+__

**1**)- dimensional complex vector space

**.**

__Formally__

**,**

**a**composite number n

**=**d · 2 < sup > s </ sup >

__+__

**1**with d being odd

**is**called

**a**strong pseudoprime to

**a**relatively prime base

**a**when one of the following conditions hold

**:**

0.163 seconds.