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Conversely, given an ordered tree, and conventionally draw the root at the top, then the child nodes in an ordered tree can be drawn left-to-right, yielding an essentially unique planar embedding ( up to embedded homotopy, i. e., moving the edges and nodes without crossing ).

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## Some Related Sentences

Conversely and given

__Conversely__

**,**if a Boolean ring A is

__given__

**,**we

**can**turn it into a Boolean algebra by defining x ∨ y := x + y +

**(**x · y )

**and**x ∧ y := x · y

**.**

__Conversely__

**,**there are other stars that never rise above

**the**horizon

**,**as seen from any

__given__point on

**the**Earth's surface

**(**except exactly on

**the**equator

**).**

__Conversely__

**,**

__given__a groupoid G

**in**

**the**algebraic sense

**,**let G < sub > 0 </ sub >

**be**

**the**set of all elements of

**the**form x * x < sup >− 1 </ sup > with x varying through G

**and**define G

**(**x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as

**the**set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists

**.**

__Conversely__

**,**

__given__central idempotents a < sub > 1 </ sub >,..., a < sub > n </ sub >

**in**R that are pairwise orthogonal

**and**have sum 1

**,**

**then**R is

**the**direct sum of

**the**rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.

Given a field ordering ≤ as

**in**Def 1**,****the**elements such that x ≥ 0 forms a positive cone of F**.**__Conversely__**,**__given__a positive cone P of F as**in**Def 2**,**one**can**associate a total ordering ≤< sub > P </ sub > by setting x ≤ y**to**mean y − x ∈ P**.**This total ordering ≤< sub > P </ sub > satisfies**the**properties of Def 1**.**__Conversely__

**,**only

**the**wiki users interested

**in**a

__given__project need look

**at**its associated wiki pages

**,**

**in**contrast

**to**high-traffic mailing lists which may burden subscribers with many messages

**,**regardless of their relevance

**.**

__Conversely__

**,**

__given__a harmonic function

**,**it is

**the**real part of

**an**analytic function

**,**

**(**

**at**least locally

**).**

Each convex set containing X must

**(**by**the**assumption that it is convex ) contain all convex combinations of points**in**X**,**so**the**set of all convex combinations is contained**in****the**intersection of all convex sets containing X**.**__Conversely__**,****the**set of all convex combinations is itself a convex set containing X**,**so it also contains**the**intersection of all convex sets containing X**,****and**therefore**the**sets__given__by these two definitions must**be**equal**.**__Conversely__

**,**surveys conducted among living donors postoperatively

**and**

**in**a period of five years following

**the**procedure have shown extreme regret

**in**a majority of

**the**donors

**,**who said that

__given__

**the**chance

**to**repeat

**the**procedure

**,**they would not

**.**

__Conversely__

**,**

**the**influence of

**the**data

**at**any

__given__point on

**the**initial line propagates with

**the**finite velocity c: there is no effect outside a triangle through that point whose sides are characteristic curves

**.**

__Conversely__

**,**

__given__any harmonic function

**in**two dimensions

**,**it is

**the**real part of

**an**analytic function

**,**

**at**least locally

**.**

__Conversely__

**,**if

**(**A

**,**m

**,**

**e**

**,**inv ) is a group object

**in**one of those categories

**,**

**then**m necessarily coincides with

**the**

__given__operation on A

**,**

**e**is

**the**inclusion of

**the**

__given__identity element on A

**,**inv is

**the**inversion operation

**and**A with

**the**

__given__operation is

**an**abelian group

**.**

__Conversely__

**,**if

**the**Turing Machine is expected polynomial-time

**(**for any

__given__x ),

**then**a considerable fraction of

**the**runs must

**be**polynomial-time bounded

**,**

**and**

**the**coin sequence used

**in**such a run will

**be**a witness

**.**

__Conversely__

**,**

__given__any ring

**,**we

**can**form a category by taking objects A < sub > n </ sub > indexed by

**the**set of natural numbers

**(**including zero )

**and**letting

**the**hom-set of morphisms from

**to**

**be**

**the**set of-by-matrices over

**,**

**and**where composition is

__given__by matrix multiplication

**.**

__Conversely__

**,**it is hard

**to**believe

**,**

__given__

**the**length

**and**intensity of

**the**struggle between Máel Sechnaill

**and**Brian

**,**that

**the**High King would surrender his title

**without**a fight

**.**

__Conversely__

**,**

**an**algorithm

**to**test for solvability

**in**arbitrary integers could

**be**used

**to**test a

__given__equation for solvability

**in**natural numbers by applying that supposed algorithm

**to**

**the**equation obtained from

**the**

__given__equation by replacing each unknown by

**the**sum of

**the**squares of four new unknowns

**.**

__Conversely__

**,**a disease that is easily transmitted but has a short duration might spread widely during 2002 but is likely

**to**have a low prevalence

**at**any

__given__point

**in**2003

**(**due

**to**its short duration ) but a high incidence during 2002

**(**as many people develop

**the**disease

**).**

Conversely and ordered

__Conversely__

**,**every point on

**the**line

**can**

**be**interpreted as a number

**in**

**an**

__ordered__continuum which includes

**the**real numbers

**.**

__Conversely__

**,**every formally real field

**can**

**be**equipped with a compatible total order

**,**that will turn it into

**an**

__ordered__field

**.**

__Conversely__

**,**

**the**topological charge only makes sense

**in**

**the**

__ordered__phase

**and**not

**at**all

**in**

**the**disordered phase

**,**because

**in**some hand-waving way there is a " topological condensate "

**in**

**the**disordered phase which randomizes

**the**field from point

**to**point

**.**

__Conversely__

**,**every distributive lattice is isomorphic

**to**a ring of sets ;

**in**

**the**case of finite distributive lattices

**,**this is Birkhoff's representation theorem

**and**

**the**sets may

**be**taken as

**the**lower sets of a partially

__ordered__set

**.**

Conversely and tree

__Conversely__

**,**if

**the**user modifies

**the**fault

__tree__graphic

**,**SAPHIRE automatically updates

**the**associated logic

**.**

__Conversely__

**,**as

**an**incident scales down

**,**roles will

**be**merged back

**up**

**the**

__tree__until there is just

**the**IC role remaining

**.**

__Conversely__

**,**however

**,**if

**an**analytical technique for valuing

**the**option exists — or even a numeric technique

**,**such as a

**(**modified ) pricing

__tree__— Monte Carlo methods will usually

**be**too slow

**to**

**be**competitive

**.**

Conversely and draw

__Conversely__

**,**air rising from

**the**northern surface of

**the**Earth

**(**creating a region of low pressure ) tends

**to**

__draw__air toward it

**in**a counterclockwise pattern

**.**

__Conversely__

**,**they could also

**be**very simple

**,**as some collectors just get a piece of paper

**,**

__draw__a runway on it

**,**place it over a table

**,**add their plane models

**and**call it their model airport

**.**

Conversely and root

__Conversely__

**,**any equation

**can**take

**the**canonical form f

**(**x ) = 0

**,**so equation solving is

**the**same thing as computing

**(**or finding ) a

__root__of a function

**.**

__Conversely__

**,**there may

**be**several effective measures

**(**methods ) that address

**the**

__root__causes of a problem

**.**

__Conversely__

**,**if n is prime

**,**

**then**there exists a primitive

__root__modulo n

**,**or generator of

**the**group

**(**Z / nZ )*.

__Conversely__

**,**after a bleak period

**in**

**the**1970s

**and**1980s

**,**

**the**Celtic Tiger era

**in**

**the**Republic was spurred on by

**the**high technology industries that took

__root__

**in**

**the**country after 1990

**.**

Conversely and at

__Conversely__

**,**some of

**the**Allied infantry who had just dealt a crushing defeat

**to**

**the**French

__at__

**the**Battle of Waterloo fully expected

**to**have

**to**fight again

**the**next day

**(**

__at__

**the**Battle of Wavre

**).**

__Conversely__

**,**

**the**vast majority of early attempts

__at__proper excavation techniques failed

**to**accurately measure or record stratigraphy

**,**thereby failing

**to**provide a secure context for artefact finds making interpretations extremely limited

**in**scope

**.**

__Conversely__

**,**non-spontaneous electrochemical reactions

**can**

**be**driven forward by

**the**application of a current

__at__sufficient voltage

**.**

__Conversely__

**,**BBC critic Mark Kermode believes that "

**the**movie industries of Britain

**and**America are inextricably intertwined ", citing numerous examples of how Hollywood provides work

**to**British production staff

**and**studios

**,**whilst Britain enables Hollywood

**to**base their prestigious productions

__at__UK studios

**.**

__Conversely__

**,**

**the**symbol width could

**be**set

__at__8

**,**even if only values 0

**and**1 are used ; these data would only require a 2-color table

**.**

__Conversely__

**,**

**the**cultural divergence

__at__

**the**border became sharper:

**in**theory

**,**a uniform French identity extends from

**the**Atlantic coast

**to**

**the**Rhine

**,**

**and**on

**the**other bank of

**the**Rhine

**,**a uniform German identity begins

**.**

__Conversely__

**,**so-called " nodder " height finding radars use a dish with a narrow vertical beamwidth

**and**wide azimuthal beamwidth

**to**detect

**an**aircraft

__at__a specific height but with low azimuthal precision

**.**

__Conversely__

**,**most Cardassians figure out during

**the**first act of Shakespeare's Julius Caesar that all

**the**conspirators are going

**to**kill him

**,**but cannot understand why Caesar cannot figure this out

**(**or is willfully blind

**to**

**an**impending coup d ' état ) until

**the**knives are literally coming

__at__him from all directions

**.**

__Conversely__

**,**specifying

**the**symmetry

**can**define

**the**structure

**,**or

__at__least clarify what we mean by

**an**invariant

**,**geometric language

**in**which

**to**discuss it ; this is one way of looking

__at__

**the**Erlangen programme

**.**

__Conversely__

**,**Electronic Arts Square

**,**K

**.**K

**.,**formed

__at__

**the**same time

**and**based

**in**Japan

**,**was responsible for publishing

**and**marketing games produced by Electronic Arts

**in**Asia

**.**

__Conversely__

**,**trade secret owners who cannot evidence reasonable efforts

__at__protecting confidential information

**,**risk losing

**the**trade secret

**,**even if

**the**information is obtained by competitors illegally

**.**

__Conversely__

**,**Elijah Delmedigo

**(**c

**.**1458 – c

**.**1493 ),

**in**his Bechinat ha-Dat endeavored

**to**show that

**the**Zohar could not

**be**attributed

**to**Shimon bar Yochai

**,**arguing that if it were his work

**,**

**the**Zohar would have been mentioned by

**the**Talmud

**,**as has been

**the**case with other works of

**the**Talmudic period

**,**that had bar Yochai known by divine revelation

**the**hidden meaning of

**the**precepts

**,**his decisions on Jewish law from

**the**Talmudic period would have been adopted by

**the**Talmud

**,**that it would not contain

**the**names of rabbis who lived

__at__a later period than that of Simeon ;

**and**that if

**the**Kabbalah was a revealed doctrine

**,**there would have been no divergence of opinion among

**the**Kabbalists concerning

**the**mystic interpretation of

**the**precepts

**.**

__Conversely__

**,**a scientific antirealist or instrumentalist argues that science does not aim

**(**or

__at__least does not succeed )

__at__truth

**and**that we should not regard scientific theories as true

**.**

__Conversely__a large cargo

**,**for example

**in**structure relocation

**,**may

**be**disassembled for carriage on multiple vehicles

**and**

**then**reassembled

**in**

**the**correct order

__at__

**the**destination

**.**

__Conversely__

**,**some species have little or no circulatory system

__at__all

**,**transporting oxygen

**in**

**the**coelomic fluid that fills their body cavity

**.**

__Conversely__

**,**halting

**the**cast

**and**stopping

**the**lure

__at__

**the**desired position requires practice

**in**learning

**to**feather

**the**line with

**the**forefinger as it uncoils from

**the**spool

**.**

__Conversely__

**,**nimbostratus is coded as middle because it usually initially forms

__at__mid-altitudes of

**the**troposphere

**and**becomes vertically developed by growing downward into

**the**low altitude range

**.**

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