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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.

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## Some Related Sentences

Conversely and symmetry

__Conversely__

**,**through

__symmetry__

**,**from

**the**reference frame

**of**

**the**ladder

**it**

**is**

**the**garage that

**is**moving with a relative velocity and so

**it**

**is**

**the**garage that undergoes a length contraction

**.**

Conversely and can

__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__

**,**

**in**

**the**English

**language**as a whole

**,**singular verb forms

__can__often be used with nouns ending

**in**"- s " that were once considered plural ( for example: " Physics

**is**my favorite academic subject ").

__Conversely__

**,**every point on

**the**line

__can__be interpreted as a number

**in**

**an**ordered continuum

**which**includes

**the**real numbers

**.**

__Conversely__

**,**non-spontaneous electrochemical reactions

__can__be driven forward

**by**

**the**application

**of**a current

**at**sufficient voltage

**.**

__Conversely__

**,**badly managed food aid

__can__create problems

**by**disrupting local markets

**,**depressing crop prices

**,**and discouraging food production

**.**

__Conversely__

**,**if

**the**data are sparse — that

**is**

**,**if only K out

**of**N Fourier coefficients are nonzero — then

**the**complexity

__can__be reduced

**to**O ( K log N log ( N / K )), and

**this**has been demonstrated

**to**lead

**to**practical speedups compared

**to**

**an**ordinary FFT for N / K > 32

**in**a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm (

**which**estimates

**the**largest K coefficients

**to**several decimal places ).

__Conversely__

**,**when

**one**wants

**to**compute

**an**arbitrary number ( N )

**of**discrete samples

**of**

**one**cycle

**of**a continuous DTFT

**,**

**it**

__can__be done

**by**computing

**the**relatively simple DFT

**of**s < sub > N </ sub >, as defined above

**.**

__Conversely__

**,**rifle bullets

__can__pierce light armor and are easier

**to**shoot accurately

**,**but even a carbine such as

**the**Colt M4

**is**larger and /

**or**longer than a submachine gun

**,**making

**it**harder

**to**maneuver

**in**close quarters

**.**

__Conversely__

**,**

**one**might expect that inertial motions

**,**once identified

**by**observing

**the**actual motions

**of**bodies and making allowances for

**the**external forces ( such as electromagnetism

**or**friction ),

__can__be used

**to**

**define**

**the**geometry

**of**space

**,**as well as a time coordinate

**.**

__Conversely__

**,**a high pH

**,**low CO < sub > 2 </ sub >,

**or**low 2

**,**3 BPG favors

**the**relaxed form

**which**

__can__better bind oxygen

**.**

__Conversely__

**,**a very severe bit

**,**

**in**

**the**right hands

**,**

__can__transmit subtle commands that cause no pain

**to**

**the**horse

**.**

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__

**,**every formally real field

__can__be equipped with a compatible total order

**,**that will turn

**it**into

**an**ordered field

**.**

__Conversely__

**,**if

**the**odds

**of**drawing a winning card are numerically lower than

**the**pot odds

**,**

**the**call has a negative expectation

**,**and you

__can__expect

**to**win less money on average than

**it**costs

**to**call

**the**bet

**.**

__Conversely__

**,**from a partial order on a partition

**of**a set S

**one**

__can__construct a preorder on S

**.**There

**is**a 1-to-1 correspondence between preorders and pairs ( partition

**,**partial order ).

__Conversely__

**we**have a b if and only if a < b

**or**a ~ b

**.**This

**is**

**the**reason for using

**the**notation ""; "≤"

__can__be confusing for a preorder that

**is**not anti-symmetric

**,**

**it**may suggest that a ≤ b implies that a < b

**or**a

__Conversely__

**,**

**the**interior

**of**

**the**box has a constant

**,**zero potential energy .< ref > Actually

**,**any constant

**,**finite potential

__can__be specified within

**the**box

**.**

__Conversely__

**,**though every president from Washington

**to**John Quincy Adams

__can__be definitely assigned membership

**in**

**an**Anglican

**or**Unitarian body

**,**

**the**significance

**of**these affiliations

**is**often downplayed as unrepresentative

**of**their true beliefs

**.**

__Conversely__

**,**extremely thin jewelry

__can__cause

**the**same tearing

**in**

**what**

**is**commonly referred

**to**as

**the**" cheese cutter effect ", either during sudden torsion

**or**over a long period

**of**wearing

**,**especially if

**the**thin jewelry bears any weight

**.**

__Conversely__

**,**water deep

**in**

**the**ocean near geothermal vents

__can__reach temperatures

**of**hundreds

**of**degrees and remain liquid

**.**

__Conversely__

**,**AES

**is**sensitive

**to**

**the**lighter elements

**,**and unlike X-ray fluorescence

**,**Auger peaks

__can__be detected for elements as light as lithium ( Z = 3 ).

Conversely and define

__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

**.**

We

__define__Thm ( C )**to**be**the**set**of**all formulas that are valid**in**C**.**__Conversely__**,**if X**is**a set**of**formulas**,**let Mod ( X ) be**the**class**of**all frames**which**validate every formula from X**.**__Conversely__

**one**may legally be

**an**adult but possess none

**of**

**the**maturity and responsibility that may

__define__adult character

**.**

__Conversely__

**,**given a Boolean ring R

**,**

**we**

__define__

**the**join operation

**by**a ' b = a + b + ab

**,**and

**the**meet operation as multiplication

**.**

__Conversely__

**,**given a configuration

**of**a conic and six lines

**which**tangent

**to**

**it**

**in**

**the**plane

**,**

**we**may

__define__

**the**double cover

**of**

**the**plane ramified over

**the**union

**of**these 6 lines

**.**

__Conversely__

**,**Western sources erroneously

__define__

**the**" Persian " " ethnicity " as basically anyone living

**in**Iran who does not claim a secondary regional linguistic identity

**.**

__Conversely__

**,**given any element u ∈ F ( A )

**we**may

__define__a natural transformation Φ: Hom ( A ,–) → F via

**is**a volume form on M

**.**

__Conversely__

**,**given two volume forms

**,**their ratio

**is**a non-vanishing function ( positive if they

__define__

**the**same orientation

**,**negative if they

__define__opposite orientations ).

__Conversely__

**,**

**one**could

__define__a potential corresponding

**to**pH as a potential difference between a solute and pH neutral water

**,**separated

**by**porous membrane ( that

**is**permeable

**to**hydrogen ions ).

Conversely and structure

__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__

**,**a wing dam

**is**a

__structure__that only partly restricts a waterway

**,**creating a faster channel that resists

**the**accumulation

**of**sediment

**.**

__Conversely__

**,**many polymers ( notably flexible vinyl ) are intentionally swelled with plasticizers

**,**

**which**

**can**be leached out

**of**

**the**

__structure__

**,**causing brittleness

**or**other undesirable changes

**.**

__Conversely__

**,**

**the**sequence

**of**

**an**ancient gene for a given

__structure__may have diverged considerably

**in**different species while

**at**

**the**same time maintaining

**the**same basic structural features

**.**

__Conversely__

**,**given a Hopf algebra whose coalgebra

__structure__

**is**given above

**,**

**we**

**can**recover a formal group law F from

**it**

**.**

__Conversely__

**,**

**one**

**of**

**the**characteristics

**of**mental illness

**is**a distorted value

__structure__

**;**

**the**neurotic does not value things according

**to**their objective merit

**,**

**in**relation

**to**his nature and needs

**;**he frequently values

**the**very things that will lead him

**to**self-destruction

**.**

__Conversely__

**,**all later attempts

**at**land reform

**by**legal means

**,**starting with

**the**1960s organization

**of**peasant leagues ( Ligas Camponesas )

**in**Northeastern Brazil

**which**opposed mostly eviction

**of**peasants from rented plots and transformation

**of**plantations into cattle ranches

**,**would be nationally directed

**by**a tendency

**to**counter

**the**existing landed property

__structure__

**by**means

**of**a more rational appeal

**to**

**the**allegedly social function

**of**property

**.**

__Conversely__

**,**

**the**basic

__structure__

**of**a transitive Japanese sentence

**is**SOV

**,**with

**the**usual syntactic features associated with languages

**of**

**this**typology

**,**including postpositions

**,**that

**is**

**,**grammar particles that appear after

**the**words and phrases

**to**

**which**they apply

**.**

__Conversely__any bipartite graph with girth

**at**

**least**six

**can**be viewed as

**the**Levi graph

**of**

**an**abstract incidence

__structure__

**.**

__Conversely__

**,**if

**the**defeasance provisions allow borrowers

**to**provide

**the**actual defeasance collateral

**to**lenders and do not require defeasance deposits

**,**

**the**borrowers ’ defeasance consultant will be able

**to**

__structure__

**an**optimized securities portfolio and hold a competitive auction

**to**ensure best pricing

**.**

__Conversely__

**,**given

**an**SL ( n )-

__structure__

**,**

**one**

**can**recover a volume form

**by**imposing () for

**the**special linear frames and then solving for

**the**required n-form ω

**by**requiring homogeneity

**in**its arguments

**.**

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