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Every nontrivial proper rotation in 3 dimensions fixes a unique 1-dimensional linear subspace of R < sup > 3 </ sup > which is called the axis of rotation ( this is Euler's rotation theorem ).

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## Some Related Sentences

Every and nontrivial

__Every__formally real Jordan algebra can be written as

**a**direct sum

**of**so-called simple ones,

**which**are not themselves direct sums

**in**

**a**

__nontrivial__way.

Every and proper

__Every__lattice element

**of**

**the**structure

**is**

**in**its

__proper__place, whether it

**is**

**a**single atom or

**a**molecular grouping.

*

__Every__continuous map from**a**compact space to**a**Hausdorff space**is**closed and__proper__**(**i. e.,**the**pre-image**of****a**compact set**is**compact.
* In any ring

**R**,**a**maximal ideal**is**an ideal M that**is**maximal**in****the**set**of**all__proper__ideals**of****R**, i. e. M**is**contained**in**exactly 2 ideals**of****R**, namely M itself and**the**entire ring**R**.__Every__maximal ideal**is****in**fact prime.__Every__year, thousands

**of**cases

**of**plague are still reported to

**the**World Health Organization, although, with

__proper__treatment,

**the**prognosis for victims

**is**now much better.

__Every__

__proper__

**rotation**

**is**

**the**composition

**of**two reflections,

**a**special case

**of**

**the**Cartan – Dieudonné

**theorem**.

__Every__element

**in**O

**(**1,

**3**) can be written as

**the**semidirect product

**of**

**a**

__proper__, orthochronous transformation and an element

**of**

**the**discrete group

#

__Every__man shall be**called**fairly**in**turn by**the**list on board**of**prizes, because over and above their__proper__share, they are allowed**a**shift**of**clothes.__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:

__Every__elder

**in**

**the**Church

**is**or should be an apostle ; that

**is**, as

**a**minister

**of**

**the**Lord and as

**a**recipient

**of**personal revelation from

**the**Holy Ghost, every elder has

**the**call to bear witness

**of**

**the**truth on all

__proper__occasions.

:

__Every__vessel must at all times maintain**a**__proper__look-out by sight**(**day shape or lights by eyes or visual aids ) and hearing**(**sound signal or Marine VHF radio ) as well as by all available means**(**e. g., Radar, Automatic Radar Plotting Aid**(**ARPA ), Automatic Identification System**(**AIS ), GMDSS ...)**in**order to make**a**full assessment**of****the**situation and risk**of**collision.__Every__

__proper__coloring and cocoloring

**of**

**a**graph are also subcolorings, so

**the**subchromatic number

**of**any graph

**is**at most equal to

**the**cochromatic number,

**which**

**is**at most equal to

**the**chromatic number.

__Every__infinitesimal region

**of**space time may have its own

__proper__time that corresponds to

**the**gravitational time dilation there, where electromagnetic radiation and matter may be equally affected, since they are made

**of**

**the**same essence

**(**as shown

**in**many tests involving

**the**famous equation E = mc

**<**

**sup**

**>**2

**</**

**sup**>).

__Every__

__proper__subgroup

**of**G can be assumed

**a**solvable group, meaning that much theory

**of**such subgroups could be applied.

* The embedding

**theorem**for Stein manifolds states**the**following:__Every__Stein manifold**of**complex dimension can be embedded into by**a**biholomorphic__proper__map.
He summed up his philosophy by saying: "

__Every__Plant has fitness and must be placed**in**its__proper__surroundings so as to bring out its full beauty.__Every__living thing was related

**in**

**a**branching pedigree, not ascending

**a**Lamarckian ladder, and

**this**pedigree was

**the**

__proper__basis for classification.

__Every__ornament

**is**at

**a**

__proper__distance, and not one too large, but all delicate and new, with more freedom and variety than Greek ornaments ; and, though probably borrowed from

**the**Hotel de Condé and other new Palaces, not one that

**is**not rather classic than French.

:

__Every__person who under color**of**any statute, ordinance, regulation, custom, or usage,**of**any State or Territory or**the**District**of**Columbia, subjects, or causes to be subjected, any citizen**of****the**United States or other person within**the**jurisdiction thereof to**the**deprivation**of**any rights, privileges, or immunities secured by**the**Constitution and laws, shall be liable to**the**party injured**in**an action at law, Suit**in**equity, or other__proper__proceeding for redress, except that**in**any action brought against**a**judicial officer for an act or omission taken**in**such officer's judicial capacity, injunctive relief shall not be granted unless**a**declaratory decree was violated or declaratory relief was unavailable.__Every__barangay has

**a**Catholic Chapel,

**which**are maintained by

**the**Lay Ministers Of St. Bartholomew Parish Church-Located

**in**

**the**town

__proper__

**of**San Manuel.

__Every__barangay

**(**village ) has its own Roman Catholic chapel aside from

**the**parish church

**in**

**the**town

__proper__.

__Every__psyker

**is**

**in**danger

**of**going insane or being possessed by

**a**daemon if he does not have

**the**

__proper__training and strength

**of**will.

Every and rotation

__Every__

__rotation__

**is**

**the**result

**of**reflecting

**in**an even number

**of**reflections

**in**hyperplanes through

**the**origin, and every improper

__rotation__

**is**

**the**result

**of**reflecting

**in**an odd number.

__Every__improper

__rotation__

**of**three-dimensional Euclidean space

**is**

__rotation__followed by

**a**reflection

**in**

**a**plane through

**the**origin.

__Every__

__rotation__

**in**three

**dimensions**

**is**defined by its

**axis**—

**a**direction that

**is**left fixed by

**the**

__rotation__— and its angle —

**the**amount

**of**

__rotation__about that

**axis**

**(**Euler

__rotation__

**theorem**

**).**

Previously

**a**daily segment, Underbelly didn't appear as often**in****the**__rotation__**(**hence Maddow's inclination to add "__Every__day ... or so " to her introduction**of****the**segment**).**

Every and 3

__Every__tile belongs to

**the**two suits

**of**its two values, e. g. 0 –

__3__belongs both to

**the**blank suit

**(**or 0 suit ) and to

**the**

__3__suit.

__Every__IKEA store, including those run by Ingka Holding, pays

**a**franchise fee

**of**

__3__%

**of**

**the**revenue to Inter IKEA Systems.

__Every__twin prime pair except

**(**

__3__, 5 )

**is**

**of**

**the**form

**(**6n − 1, 6n + 1 ) for some natural number n, and with

**the**exception

**of**

**<**var

**>**n

**</**var

**>**= 1,

**<**var

**>**n

**</**var

**>**must end

**in**0, 2,

__3__, 5, 7, or 8.

__Every__third odd number

**is**divisible by

__3__,

**which**requires that no three successive odd numbers can be prime unless one

**of**them

**is**

__3__.

They draw three conclusions from Austin:

**(**1 ) A performative utterance does not communicate information about an act second-hand — it**is****the**act ;**(**2 )__Every__aspect**of**language (" semantics, syntactics, or even phonematics ") functionally interacts with pragmatics ;**(**__3__) There**is**no distinction between language and speech.__Every__sedenion

**is**

**a**real

**linear**combination

**of**

**the**unit sedenions 1,

**<**var

**>**e

**</**var >< sub

**>**1

**</**sub >,

**<**var

**>**e

**</**var >< sub

**>**2

**</**sub >,

**<**var

**>**e

**</**var >< sub

**>**

__3__

**</**sub >, ..., and

**<**var

**>**e

**</**var >< sub

**>**15

**</**sub >,

__Every__autumn, according to Plutarch

**(**Life

**of**Lycurgus, 28,

__3__– 7 ),

**the**Spartan ephors would pro forma declare war on

**the**helot population so that any Spartan citizen could kill

**a**helot without fear

**of**blood or guilt

**(**crypteia

**).**

*

__Every__rule**of**thumb on earth**in**one place-A user participation reference project based on Tom Parker's__3__best-selling books and more than 25 years**of**research.__Every__year,

**a**small number

**of**graduates do this-usually

__3__or 4, and usually

**in**

**a**one-for-one " trade " with

**a**similarly inclined cadet at one

**of**

**the**other service academies.

__Every__weekday, more than 1.

__3__million people commute to

**the**Argentine capital for work and other business.

__Every__year,

**the**parade steps off from St Joseph

**the**Worker Church, and proceeds two miles

**(**

__3__km ) on New Falls Road to Conwell-Egan Catholic High School.

__Every__May since 1993, thousands

**of**cagers have descended upon Thermopolis for

**the**annual

__3__on

__3__Hot Spot Shootout Basketball Tournament.

__Every__mRNA consists

**of**three parts-5 ' untranslated region

**(**5 ' UTR ), protein-coding region or open reading frame

**(**ORF ) and

__3__' untranslated region

**(**

__3__' UTR

**).**

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