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Every Riemann surface is the quotient of a free, proper and holomorphic action of a discrete group on its universal covering and this universal covering is holomorphically isomorphic ( one also says: " conformally equivalent ") to one of the following:

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## Some Related Sentences

Every and Riemann

__Every__

__Riemann__

**surface**

**is**

**a**two-dimensional real analytic manifold

**(**i. e.,

**a**

**surface**), but it contains more structure

**(**specifically

**a**complex structure ) which

**is**needed for

**the**unambiguous definition

**of**

**holomorphic**functions.

#

__Every__Riemannian metric**on****a**__Riemann__**surface****is**Kähler**,**since**the**condition for ω**to**be closed**is**trivial in 2**(**real ) dimensions.__Every__finite

**group**

**is**

**a**subgroup

**of**

**the**mapping class

**group**

**of**

**a**closed

**,**orientable

**surface**

**,**moreover

**one**can realize any finite

**group**as

**the**

**group**

**of**isometries

**of**some compact

__Riemann__

**surface**.

)

__Every__time we are computing**a**__Riemann__sum**,**we are using**a**particular instantiation**of****the**integrator.

Every and surface

__Every__form

**is**

**the**delimitation

**of**

**a**

__surface__by another

**one**; it possesses an inner content

**,**

**the**effect it produces

**on**

**one**who looks at it attentively.

__Every__aspect

**of**

**the**store

**is**mapped out

**and**attention

**is**paid

**to**colour

**,**wording

**and**even

__surface__texture.

__Every__antiseptic

**,**however good

**,**

**is**more or less toxic

**and**irritating

**to**

**a**wounded

__surface__; as

**a**result

**,**in surgery

**,**

**the**antiseptic method has been replaced by aseptic method

**,**which

**is**preventative in nature

**and**relies

**on**keeping

**free**from

**the**invasion

**of**bacteria rather than destroying them when present.

__Every__now

**and**then

**,**

**the**

__surface__water sloshes back across

**the**ocean

**,**bringing warm water temperatures along

**the**eastern coasts

**of**

**the**pacific.

__Every__such black body emits from

**its**

__surface__with

**a**spectral radiance that Kirchhoff labeled

**(**for specific intensity

**,**

**the**traditional name for spectral radiance ).

__Every__17 years

**,**Brood X cicadas tunnel en masse

**to**

**the**

__surface__

**of**

**the**ground

**,**lay eggs

**,**

**and**then die off in several weeks.

__Every__minimal projective ruled

__surface__other than

**the**projective plane

**is**

**the**projective bundle

**of**

**a**2-dimensional vector bundle over some curve.

__Every__vehicle function that changes direction or speed relies

**on**friction between

**the**tires

**and**

**the**road

__surface__.

__Every__single object or point

**is**dwarfed ;

**the**valley

**of**

**the**Hudson

**is**only

**a**wrinkle in

**the**earth's

__surface__.

__Every__

__surface__

**of**

**the**vaulted ceiling

**is**occupied with preserved fishes

**,**stuffed mammals

**and**curious shells

**,**with

**a**stuffed crocodile suspended in

**the**centre.

__Every__integer 2g ' 2g matrix with < sup >*</ sup > arises as

**the**Seifert matrix

**of**

**a**knot with genus g Seifert

__surface__.

__Every__morning before sunrise

**,**

**the**floor

**of**

**the**owners house

**,**or where ever it may be

**,**

**is**cleaned with water

**and**

**the**muddy floor

**is**swept well for an even

__surface__.

According

**to**Dale E. Dawkins**,**AMC's vice-president**,****"**__Every__square inch**of**inner__surface__**on**exterior body panels**is**galvanized**on**our Spirit**,**Concord**,****and**Eagle models.__Every__particular finite line

**,**

__surface__

**,**or solid which may possibly be

**the**object

**of**our thought

**is**an idea existing only in

**the**mind

**,**

**and**consequently each part

**of**it must be perceived.

Every and is

__Every__legislator from Brasstown Bald

**to**Folkston

__is__going

**to**have his every vote subjected

**to**

**the**closest scrutiny as

**a**test

**of**his political allegiances

**,**not his convictions.

__Every__detail in his interpretation has been beautifully thought out

**,**

**and**

**of**these I would especially cite

**the**delicious laendler touch

**the**pianist brings

**to**

**the**fifth variation

**(**an obvious indication that he

__is__playing with Viennese musicians )

**,**

**and**

**the**gossamer shading throughout.

__Every__taxpayer

__is__well aware

**of**

**the**vast size

**of**our annual defense budget

**and**most

**of**our readers

**also**realize that

**a**large portion

**of**these expenditures go for military electronics.

__Every__few days

**,**in

**the**early morning

**,**as

**the**work progressed

**,**twenty men would appear

**to**push it ahead

**and**

**to**shift

**the**plank foundation that distributed

**its**weight widely

**on**

**the**Rotunda pavement

**,**supported as it

__is__by ancient brick vaulting.

__Every__dream

**,**

**and**

**this**

__is__true

**of**

**a**mental image

**of**any type even though it may be readily interpreted into

**its**

**equivalent**

**of**wakeful thought

**,**

__is__

**a**psychic phenomenon for which no explanation

__is__available.

__Every__library borrower

**,**or at least those whose taste goes beyond

**the**five-cent fiction rentals

**,**knows what it

__is__

**to**hear

**the**librarian say apologetically

**,**`` I'm sorry

**,**but we don't have that book.

__Every__community

**,**if it

__is__alive has

**a**spirit

**,**

**and**that spirit

__is__

**the**center

**of**

**its**unity

**and**identity.

The restricted principle

**"**__Every__partially ordered set has**a**maximal totally ordered subset**"**__is__**also****equivalent****to**AC over ZF.__Every__natural-born citizen

**of**

**a**foreign state who

__is__

**also**an American citizen

**and**every natural-born American citizen who

__is__

**a**citizen

**of**

**a**foreign land owes

**a**double allegiance

**,**

**one**

**to**

**the**United States

**,**

**and**

**one**

**to**his homeland

**(**in

**the**event

**of**an immigrant becoming

**a**citizen

**of**

**the**US ), or

**to**his adopted land

**(**in

**the**event

**of**an emigrant natural born citizen

**of**

**the**US becoming

**a**citizen

**of**another nation ).

__Every__line

**of**written text

__is__

**a**mere reflection

**of**references from any

**of**

**a**multitude

**of**traditions

**,**or

**,**as Barthes puts it

**,**

**"**

**the**text

__is__

**a**tissue

**of**quotations drawn from

**the**innumerable centres

**of**culture "; it

__is__never original.

__Every__year

**,**

**on**

**the**last Sunday in April

**,**there

__is__an ice fishing competition in

**the**frozen estuarine waters

**of**

**the**Anadyr River's mouth.

__Every__lattice element

**of**

**the**structure

__is__in

**its**

**proper**place

**,**whether it

__is__

**a**single atom or

**a**molecular grouping.

0.276 seconds.