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Every one of the infinitely many vertices of G can be reached from v < sub > 1 </ sub > with a simple path, and each such path must start with one of the finitely many vertices adjacent to v < sub > 1 </ sub >.

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## Some Related Sentences

Every and one

__Every__family

**of**Riviera Presbyterian Church has been asked

**to**read

**the**Bible

**and**pray together daily during National Christian Family Week

**and**

**to**undertake

__one__project in which all members

**of**

**the**family participate.

** Zorn's lemma:

__Every__non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least__one__maximal element.__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__week Holbrook writes

**the**story line for

**the**next three weeks for

__one__

**of**his strips

**and**draws

**the**next three weeks ' worth

**of**strips for another.

__Every__

__one__

**of**us has been passing through days

**of**anxiety ; we cannot

**,**however

**,**feel that peace has been established

**,**but that we have nothing but an armistice in

**a**state

**of**war.

*

__Every__topological space X is**a**dense subspace**of****a**compact space having at most__one__point more than X**,**by**the**Alexandroff one-point compactification.__Every__context-sensitive grammar which does not generate

**the**empty string

**can**

**be**transformed into an equivalent

__one__in Kuroda normal form.

__Every__person should

**be**identified uniquely as resident in

__one__place but where they happen

**to**

**be**on census day

**,**their de facto residence

**,**may not

**be**

**the**best place

**to**count them.

According

**to**__Every__**,**__one__example may**be**"**the**myth**of**St. George "**and**other stories about saints battling dragons**,**which were " modelled no doubt in**many**cases on older representations**of****the**creator**and**preserver**of****the**world in combat**with**chaos ".__Every__grammar in Chomsky normal form is context-free

**,**

**and**conversely

**,**every context-free grammar

**can**

**be**transformed into an equivalent

__one__which is in Chomsky normal form.

In Norse mythology

**,**Draupnir ( Old Norse "**the**dripper ") is**a**gold ring possessed by**the**god Odin**with****the**ability**to**multiply itself:__Every__ninth night eight new rings ' drip '**from**Draupnir**,****each**__one__**of****the**same size**and**weight as**the**original.__Every__system

**must**have

**a**class designated as " root ",

**with**

__one__

**of**its creation procedures designated as " root procedure ".

__Every__other aspect

**of**film making originated in

**a**different medium than film ( photography

**,**art direction

**,**writing

**,**sound recording ), but editing is

**the**

__one__process that is unique

**to**film.

__Every__four years

**,**during which an extra 24 hours have accumulated

**,**

__one__extra day is added

**to**keep

**the**count coordinated

**with**

**the**sun's apparent position.

Every and infinitely

Cantor points out that his constructions prove more — namely

**,**they provide**a**new proof**of**Liouville's theorem:__Every__interval contains__infinitely__**many**transcendental numbers.
Hilbert's example: "

**the**assertion that either there are only**finitely****many**prime numbers or there are__infinitely__**many**" ( quoted in Davis 2000: 97 );**and**Brouwer's: "__Every__mathematical species is either finite or infinite.__Every__process involving charged particles emits

__infinitely__

**many**coherent photons

**of**infinite wavelength

**,**

**and**

**the**amplitude for emitting any finite number

**of**photons is zero.

__Every__real number x is surrounded by an infinitesimal " cloud "

**of**hyperreal numbers

__infinitely__close

**to**it.

This is up

**to**isomorphism**the**only indecomposable module over R.__Every__left R-module is**a**direct sum**of**(**finitely**or__infinitely__**many**) copies**of**this module K**<**sup**>**n**</**sup**>.**__Every__

__infinitely__divisible probability distribution corresponds in

**a**natural way

**to**

**a**Lévy process

**,**i. e.,

**a**stochastic process

Every and many

__Every__pitch in

**the**game brought forth

**a**howl

**from**

**the**enraptured audience

**and**every fly ball

**the**visitors dropped (

**and**because their right fielder was still

**a**little fuzzy

**from**drink

**,**they dropped

__many__) called forth yelps

**of**derision.

George

__Every__discusses**the**connection between**the**cosmic center**and**Golgotha in his book Christian Mythology**,**noting that**the**image**of**Adam's skull beneath**the**cross appears in__many__medieval representations**of****the**crucifixion.__Every__Andalusian region or comarca has its own variety

**of**this popular food so there are

__many__types

**of**gazpacho.

A Girl in

__Every__Port is considered by film scholars**to****be****the**most important film**of**Hawks's silent career because it is his first film**to**introduce__many__**of****the**Hawksian themes**and**characters that would continue until his final films.__Every__LORAN chain in

**the**world uses

**a**unique Group Repetition Interval

**,**

**the**number

**of**which

**,**when multiplied by ten

**,**gives how

__many__microseconds pass between pulses

**from**

**a**given station in

**the**chain.

*

__Every__product**of**( arbitrarily__many__) profinite groups is profinite ;**the**topology arising**from****the**profiniteness agrees**with****the**product topology.
Earlier books

**such**as What__Every__Girl Should Know ( Margaret Sanger**,**1920 )**and**A Marriage Manual ( Hannah**and**Abraham Stone**,**1939 ) had broken**the**silence in which__many__people**,**women in particular**,**had grown up in.__Every__Saturday morning it hosts

**a**large outdoor market or " mercadillo ", where

__many__gypsies come

**and**sell their wares

**of**fruits

**and**vegetables

**,**clothes

**and**shoes

**,**

**and**other odds

**and**ends.

:

__Every__integer which**can****be**written as**the**sum**of**two primes**,****can**also**be**written as**the**sum**of**as__many__primes as**one**wishes**,**until all terms are units.__Every__compact Hausdorff space is also locally compact

**,**

**and**

__many__examples

**of**compact spaces may

**be**found in

**the**article compact space.

__Every__subset

**of**

**a**nowhere dense set is nowhere dense

**,**

**and**

**the**union

**of**

**finitely**

__many__nowhere dense sets is nowhere dense.

__Every__monad arises

**from**some adjunction — in fact

**,**typically

**from**

__many__adjunctions — in

**the**above fashion.

__Every__time

**,**there will

**be**

__many__famous singers who perform on

**the**stage that is set up for

**the**New Year Celebration.

__Every__pre-abelian category is

**of**course an additive category

**,**

**and**

__many__basic properties

**of**these categories are described under that subject.

__Every__two years

**,**

**the**museum hosts

**the**Whitney Biennial

**,**an international art show which displays

__many__lesser-known artists new

**to**

**the**American art scene.

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