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Formally, if T is a complete sufficient statistic for θ and E ( g ( T )) = τ ( θ ) then g ( T ) is the minimum-variance unbiased estimator ( MVUE ) of τ ( θ ).

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## Some Related Sentences

Formally and if

__Formally__

**,**oxidation state

**is**

**the**hypothetical charge that an atom would have

__if__all bonds to atoms

**of**different elements were 100 % ionic.

__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__

**,**

__if__d

**is**

**the**dimension

**of**

**the**parameter

**,**

**and**n

**is**

**the**number

**of**samples

**,**

__if__as

**and**as

**,**

**then**

**the**model

**is**semi-parametric.

__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__

**,**

**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.

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**hypothesis

**is**compared against its opposite or null hypothesis ("

__if__I release this ball

**,**it will not fall to

**the**floor ").

__Formally__

**,**

**the**sequence

**of**partial sums

**of**some infinite summation converges

__if__

**for**every fixed power

**of**X

**the**coefficient stabilizes: there

**is**

**a**point beyond which all further partial sums have

**the**same coefficient.

__Formally__

**,**

**a**function ƒ

**is**real analytic on an open set D in

**the**real line

__if__

**for**any x < sub > 0 </ sub > in D one can write

__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__

**,**two variables are inversely proportional

**(**or varying inversely

**,**or in inverse variation

**,**or in inverse proportion or in reciprocal proportion

**)**

__if__one

**of**

**the**variables

**is**directly proportional with

**the**multiplicative inverse

**(**reciprocal

**)**

**of**

**the**other

**,**or equivalently

__if__their product

**is**

**a**constant.

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__

**,**

__if__we write F < sub > Δ </ sub >( x

**)**to mean

**the**f-polynomial

**of**Δ

**,**

**then**

**the**h-polynomial

**of**Δ

**is**

__Formally__

**,**

**a**cardinal κ

**is**defined to be weakly compact

__if__it

**is**uncountable

**and**

**for**every function f: < sup > 2 </ sup > →

Formally and T

__Formally__

**,**

**the**ith row

**,**jth column element

**of**A < sup >

__T__</ sup >

**is**

**the**jth row

**,**ith column element

**of**A:

__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__

**,**

**the**bounded Borel functional calculus

**of**

**a**self adjoint operator

__T__on Hilbert space H

**is**

**a**mapping defined on

**the**space

**of**bounded complex-valued Borel functions f on

**the**real line

**,**

__Formally__

**,**we define

**a**bad field as

**a**structure

**of**

**the**form

**(**K

**,**

__T__), where K

**is**an algebraically closed field

**and**

__T__

**is**an infinite

**,**proper

**,**distinguished subgroup

**of**K

**,**such that

**(**K

**,**

__T__

**)**

**is**

**of**finite Morley rank in its full language.

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__

**,**an inner product space

__is__

**a**vector space V over

**the**field together with an inner product

**,**i. e., with

**a**map

*

__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 complete

__Formally__

**,**an iterated function system

**is**

**a**finite set

**of**contraction mappings on

**a**

__complete__metric space.

__Formally__

**,**

**a**partially ordered set

**(**P

**,**≤)

**is**bounded

__complete__

**if**

**the**following holds

**for**any subset S

**of**P:

__Formally__

**,**

**a**market

**is**

__complete__with respect to

**a**trading strategy

**,**

**,**

**if**there exists

**a**self-financing trading strategy

**,**such that at any time

**,**

**the**returns

**of**

**the**two strategies

**,**

**and**are equal.

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