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Formally the self-inductance of a wire loop would be given by the above equation with i

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## Some Related Sentences

Formally and would

__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**government

__would__lay out its reasons for going to war, as well as its intentions in prosecuting it and

**the**steps that might

**be**taken to avert it.

__Formally__,

**the**role

**of**

**the**Executive Council was to " aid and advise "

**the**Governor-General who

__would__exercise

**the**executive authority on behalf

**of**

**the**King.

__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 ".

Several significant events in 2001 persuaded BNFL to upgrade

**the**fuel routes**of**both Calder Hall and Chapelcross to near modern standards at**a**cost**of**tens**of**millions**of**pounds to guarantee that**a**License Instrument__would__**be**granted**by****the**NII to permission final defuelling:**the**engineering work is being carried out**by**BNS Nuclear Services (__Formally__Alstec ).

Formally and be

However, shortly after this positive result, Kurt Gödel published On

__Formally__Undecidable Propositions**of**Principia Mathematica and Related Systems ( 1931 ), showing that in any sufficiently strong axiomatic system there are true statements which cannot__be__proved in**the**system.__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__,

**a**frame is defined to

__be__

**a**lattice L in which finite meets distribute over arbitrary joins,

**i**. e. every ( even infinite ) subset

__Formally__

**the**" head

**of**state " can also personally

__be__

**the**" head

**of**government " ( ex officio or

**by**ad hoc cumulation such as an absolute monarch nominating himself ) but otherwise has formal precedence over

**the**Head

**of**Government and other ministers, whether he is their actual political superior ( absolute monarch, executive president ) or rather theoretical or ceremonial in character.

__Formally__, in

**the**finite-dimensional case, if

**the**linear map is represented as

**a**multiplication

**by**

**a**matrix A and

**the**translation as

**the**addition

**of**

**a**vector, an affine map acting on

**a**vector can

__be__represented as

__Formally__,

**the**convex hull may

__be__defined as

**the**intersection

**of**all convex sets containing X or as

**the**set

**of**all convex combinations

**of**points in X.

__Formally__,

**a**decision problem is P-complete ( complete for

**the**complexity class P ) if it is in P and that every problem in P can

__be__reduced to it

**by**using an appropriate reduction.

__Formally__,

**a**detailed balanced process is

**the**one on which

**the**probability to

__be__in

**the**state x and transit to x ' must

__be__

**the**same as to

__be__in

**the**state x ' and transit to x.

If R is

**a**ring, let R denote**the**ring**of**polynomials in**the**indeterminate X over R. Hilbert proved that if R is " not too large ", in**the**sense that if R is Noetherian,**the**same must__be__true for R.__Formally__,__Formally__,

**a**unique factorization domain is defined to

__be__an integral domain R in which every non-zero and non-unit x

**of**R can

__be__written as

**a**product ( including an empty product )

**of**irreducible elements p < sub >

**i**</ sub >

**of**R and

**a**unit u:

__Formally__,

**the**problem

**of**supervised pattern recognition can

__be__stated as follows: Given an unknown function (

**the**ground truth ) that maps input instances to output labels, along

**with**training data assumed to represent accurate examples

**of**

**the**mapping, produce

**a**function that approximates as closely as possible

**the**correct mapping.

__Formally__,

**the**case where only

**a**subset

**of**parameters is defined is still

**a**composite hypothesis ; nonetheless,

**the**term point hypothesis is often applied in such cases, particularly where

**the**hypothesis test can

__be__structured in such

**a**way that

**the**distribution

**of**

**the**test statistic (

**the**distribution under

**the**null hypothesis ) does not depend on

**the**parameters whose values have not been specified under

**the**point null hypothesis.

Formally and given

__Formally__

__given__to bishop Philip

**of**Senj,

**the**permission to use

**the**Glagolitic liturgy (

**the**Roman Rite conducted in Slavic language instead

**of**Latin, not

**the**Byzantine rite ), actually extended to all Croatian lands, mostly along

**the**Adriatic coast.

__Formally__, we are

__given__

**a**set

**of**hypotheses and

**a**set

**of**manifestations ; they are related

**by**

**the**domain knowledge, represented

**by**

**a**function that takes as an argument

**a**set

**of**hypotheses and gives as

**a**result

**the**corresponding set

**of**manifestations.

__Formally__,

**the**statement that " value decreases over time " is

__given__

**by**defining

**the**linear differential operator as:

__Formally__, it is

**a**norm defined on

**the**space

**of**bounded linear operators between two

__given__normed vector spaces.

__Formally__,

**the**problem can

**be**stated as follows:

__given__

**a**desired property, expressed as

**a**temporal logic formula p, and

**a**structure M

**with**initial state s, decide if.

__Formally__,

__given__two categories C and D, an equivalence

**of**categories consists

**of**

**a**functor F: C → D,

**a**functor G: D → C, and two natural isomorphisms ε: FG → I < sub > D </ sub > and η: I < sub > C </ sub >→ GF.

__Formally__, an absolute coequalizer

**of**

**a**pair in

**a**category C is

**a**coequalizer as defined

**above**but

**with**

**the**added property that

__given__any functor F ( Q ) together

**with**F ( q ) is

**the**coequalizer

**of**F ( f ) and F ( g ) in

**the**category D. Split coequalizers are examples

**of**absolute coequalizers.

__Formally__,

__given__

**a**partially ordered set ( P, ≤), then an element g

**of**

**a**subset S

**of**P is

**the**greatest element

**of**S if

__Formally__,

**a**deterministic algorithm computes

**a**mathematical function ;

**a**function has

**a**unique value for any

__given__input, and

**the**algorithm is

**a**process that produces this particular value as output.

__Formally__,

__given__two partially ordered sets ( S, ≤) and ( T, ≤),

**a**function f: S → T is an order-embedding if f is both order-preserving and order-reflecting,

**i**. e. for all x and y in S, one has

__Formally__,

__given__

**a**finite set X,

**a**collection C

**of**subsets

**of**X, all

**of**size n, has Property B if we can partition X into two disjoint subsets Y and Z such that every set in C meets both Y and Z.

__Formally__,

__given__

**a**graph G,

**a**vertex labeling is

**a**function mapping vertices

**of**G to

**a**set

**of**labels.

__Formally__this mission was declared to

**be**only in pursuit

**of**

**the**Russian vessels and ammunition taken to Anzali

**by**

**the**White Russian counter-revolutionary General Denikin, who had been

__given__asylum

**by**British forces in Anzali.

__Formally__,

**a**married or widowed woman can

**be**called

**by**

**the**

__given__name

**of**her husband ( Madame (

__given__name

**of**husband ) family name or Madame veuve (

__given__name

**of**husband ) family name ); this is now slightly out

**of**fashion.

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