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Conversely, starting from this equivalence we can recover U as the composite Rel → Sup → Set of the forgetful functor for Sup with this embedding of Rel in Sup.

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## Some Related Sentences

Conversely and starting

__Conversely__

**,**

**the**character Rick Jones is virtually a " sidekick-for-hire ," having assisted a number

**of**different heroes during his career

**,**

__starting__

**with**

**the**Hulk

**,**moving onto Captain America ( when he briefly became

**the**second Bucky ), then

**the**first Captain Marvel

**,**Rom Spaceknight

**,**and finally

**the**third Captain Marvel ( Genis ).

__Conversely__

**,**

**in**April

**,**on

**the**Sunday

**of**

**the**London Marathon

**,**it is crucial

**in**enabling athletes and their supporters to reach

**the**

__starting__line

**,**

**as**on that day bus services across

**the**heath are usually suspended

**as**roads are closed

**.**

__Conversely__

**,**programs that expect newline to be used

**as**a separator will interpret a final newline

**as**

__starting__a new ( empty ) line

**.**

__Conversely__

**,**

__starting__

**from**Schwinger's formula

**,**it is easy to show that

**the**fields obey canonical commutation relations and

**the**classical equations

__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__

**,**

__starting__

**with**

**the**Schrödinger equation and our < em > Ansatz </ em >

**for**',

**we**arrive at

__Conversely__

**,**an argument involving König's infinity lemma shows that any non-surjective rule must have an orphan

**,**and ( letting be

**the**size

**of**a bounding box

**of**

**this**orphan ) a very similar counting argument shows that

**the**number

**of**patterns that fit within an square and do not contain an orphan is too small to provide a distinct successor to every

__starting__pattern within an square

**,**

**from**which it follows that some two

**of**

**the**possible

__starting__patterns are twins

**.**

__Conversely__

**,**( f )

**can**be reached

**,**albeit

**in**a non-trivial manner

**,**by

__starting__

**with**

**the**differential equilibrium equations and

**the**stress boundary conditions on

**,**and proceeding

**in**

**the**manner similar to ( a ) and ( b ).

__Conversely__

**,**

__starting__

**from**a frequency on

**the**idealized piano tuned to A440

**,**one obtains

**the**key number by:

__Conversely__

**,**

**the**therapist is enjoined to ' attempt to understand something

**from**a position

**of**not-knowing ...

__starting__every session " without memory

**,**desire or understanding "': sets out ' trying to listen

**as**naively

**as**possible ... open to

**the**phenomena

**of**therapy freshly

**,**naively '.

Conversely and from

__Conversely__

**,**

**the**existence

**of**Bletchley Park

**,**and

**of**

**the**decrypting achievements there

**,**was never officially shared

**with**

**the**Soviet Union

**,**whose war effort would have greatly benefited

__from__regular decrypting

**of**German messages relating to

**the**Eastern Front

**.**

__Conversely__

**the**equilibrium position is said to be " far to

**the**left " if hardly any product is formed

__from__

**the**reactants

**.**

__Conversely__

**,**some men have cross-dressed to escape

__from__mandatory military service or

**as**a disguise to assist

**in**political or social protest

**,**

**as**men did

**in**

**the**Rebecca Riots

**.**

__Conversely__

**,**an absence

**of**secure cycle-parking is a recurring complaint by cyclists

__from__cities

**with**low modal share

**of**cycling

**.**

__Conversely__

**,**some organisms have special techniques to prevent crystallization

__from__occurring

**,**such

**as**antifreeze proteins

**.**

__Conversely__

**,**computer implementations are significant

**in**applying ideas

__from__discrete mathematics to real-world problems

**,**such

**as**

**in**operations research

**.**

__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__

**,**if

**the**source

**of**waves is moving away

__from__

**the**observer

**,**each wave is emitted

__from__a position farther

__from__

**the**observer than

**the**previous wave

**,**so

**the**arrival time between successive waves is increased

**,**reducing

**the**frequency

**.**

__Conversely__every partition

**of**comes

__from__an

**equivalence**relation

**in**

**this**way

**,**according to which if and only if and belong to

**the**same set

**of**

**the**partition

**.**

__Conversely__

**,**

**the**defensive team will know that

**the**offense has to cover a good deal

**of**ground

**in**a single play

**,**will expect a forward pass

**,**and will know

__from__earlier study something

**of**

**the**propensities

**of**

**the**offense they face

**.**

__Conversely__

**,**when

**the**carbon dioxide levels

**in**

**the**blood decrease ( i

**.**e.,

**in**

**the**lung capillaries ), carbon dioxide and protons are released

__from__hemoglobin

**,**increasing

**the**oxygen affinity

**of**

**the**protein

**.**

__Conversely__

**,**both owners

**of**capital and labor profit

**in**real terms

__from__an increase

**in**

**the**capital endowment

**.**

__Conversely__

**,**when a piece

**of**land is separated

__from__

**the**mainland by a man-made canal

**,**

**for**example

**the**Peloponnese by

**the**Corinth Canal

**,**it is generally not considered an island

**.**

__Conversely__

**,**

**the**reasons internalist answers

**the**question

**in**

**the**negative (" No

**,**Sasha does not have a reason not to steal

__from__that poor person

**,**though others might .").

__Conversely__

**,**JPL

**,**through

**the**Caltech lawyers representing

**the**laboratory

**,**allege that Coppedge's termination was simply due to budget cuts and his demotion

__from__team lead was because

**of**harassment complaints and

__from__on-going conflicts

**with**his co-workers

**.**

__Conversely__

**,**Trotsky held that socialism

**in**one country would economically constrain

**the**industrial development

**of**

**the**USSR

**,**and thus required assistance

__from__

**the**new socialist countries that had arisen

**in**

**the**developed world

**,**which was essential

**for**maintaining Soviet democracy

**,**

**in**1924 much undermined by civil war and counter-revolution

**.**

__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__

**,**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__

**,**Walter Burkert suggests that

**the**Hellene cult worship

**of**Poseidon

**as**a horse god may be connected to

**the**introduction

**of**

**the**horse and war-chariot

__from__Anatolia to Greece around 1600 BC

**.**

Conversely and equivalence

Conversely and we

__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

**.**

If neither A nor B includes

**the**idea**of**existence**,**then " some A are B " simply adjoins A to B**.**__Conversely__**,**if A or B do include**the**idea**of**existence**in****the**way that " triangle " contains**the**idea " three angles equal to two right angles ", then " A exists " is automatically true**,**and__we__have an ontological proof**of**A's existence**.**__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__

**,**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__

**,**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__

**,**if

__we__pick every member

**of**

**the**same population

**with**property and ask " what proportion

**of**these have property?

__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__

**,**

__we__understand Cleopatra at her death

**as**

**the**transcendent queen

**of**“ immortal longings ” because

**the**container

**of**her mortality

**can**no longer restrain her: unlike Antony

**,**she never melts

**,**but sublimates

**from**her very earthly flesh to ethereal fire and air .”

__Conversely__

__we__come to understand Cleopatra

**in**that

**the**container

**of**her mortality

**can**no longer restrain her

**.**

"

__Conversely__**,**Jeffrey Tucker**of****the**Ludwig von Mises Institute has argued that " The whole scene — which anticipated so much**of****the**technology__we__have today but**,**strangely**,**not email or texting — reflected**the**ethos**of**time: a love**of**progress and a vision**of**a future that stayed on course ...__Conversely__

**,**if

__we__accept that human beings do have ( libertarian or incompatibilist ) free will

**,**then

__we__must accept that

**the**world is not entirely governed by natural law

**.**

__Conversely__

**,**

__we__

**can**deduce that a minority

**of**

**the**helots were Laconian

**,**thus making

**this**

**the**one and only revolt

**of**their history

**.**

__Conversely__

**,**

__we__will explore how insights

**from**science

**can**be useful

**,**not only to develop technology and improve our material comfort

**,**but to reduce

**the**suffering

**of**individuals

**,**families

**,**and society

**.**

__Conversely__

**,**if

__we__say that Paul has

**the**goal

**of**going into graduate school

**,**he may not necessarily believe that he will be able to accomplish

**this**

**.**

__Conversely__

**,**given a Hopf algebra whose coalgebra structure is given above

**,**

__we__

**can**

**recover**a formal group law F

**from**it

**.**

__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__

**,**if

**the**length-scale decreases and

**the**physical parameters approach fixed values

**,**then

__we__have ultraviolet fixed points

**.**

__Conversely__

**,**given any element u ∈ F ( A )

__we__may define a natural transformation Φ: Hom ( A ,–)

**→**F via

__Conversely__

**,**

**in**

**the**limit

__we__have infinitely rapid

**,**or diabatic passage ;

**the**configuration

**of**

**the**state remains unchanged:

__Conversely__

**,**if G contains a proper non-trivial normal subgroup N

**,**then

**the**composition

**of**

**the**natural surjective group homomorphism G

**→**G / N

**with**

**the**regular representation

**of**G / N produces a representation π

**of**G which has kernel N

**.**Taking χ to be

**the**character

**of**some non-trivial subrepresentation

**of**π

**,**

__we__have a character satisfying

**the**hypothesis

**in**

**the**direct statement above

**.**

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