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Conversely, many theorems that hold in universal algebra do not generalise all the way to category theory.

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## Some Related Sentences

Conversely and many

__Conversely__

**,**

__many__fighter aircraft

**,**such as

**the**F-16

**,**are often used as ' bomb trucks ,' despite being designed for aerial combat

**.**

)

__Conversely__**,**it is often helpful**to**use**the**geometry of Cartesian coordinates**in**two or three dimensions**to**visualize algebraic relationships between two or three of__many__non-spatial variables**.**__Conversely__

**,**for

__many__deductive systems

**,**it is possible

**to**prove

**the**completeness theorem as an effective consequence of

**the**compactness theorem

**.**

__Conversely__

**,**John Calvin

**,**Albert Barnes Adam Clarke

**,**John Gill

**,**and John Wesley amongst

__many__other have affirmed this as divine truth and found no problem with its historicity

**.**

__Conversely__

**,**Chinese

**,**Japanese

**,**and Korean

**do**

**not**have single words for a thousand

**to**

**the**second

**,**third

**,**fifth power

**,**etc., unlike English and

__many__other European languages

**.**

__Conversely__

**,**birds of prey-which show distinct reverse sexual dimorphism — tend

**to**be monogamous for long periods or mate for life ; some species like

**the**Snail kite will choose new mates every year

**,**polygyny is noted

**in**

__many__Harriers and polyandry has been observed

**in**

**the**Harris ' Hawk ( notable for being

**the**only bird of prey

**to**regularly live and hunt

**in**family and social groups ) and

**the**aforementioned Galapagos hawk

**.**

__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__

**,**people

**not**familiar with

**the**various different forms of dance may ask for a evening of square dance meaning simply a barn dance where

__many__different formations of dance are used

**.**

__Conversely__

**,**

**the**so-called vibrato unit built

**in**

**to**

__many__guitar amplifiers produces what is known as tremolo

**in**

**all**other contexts

**.**

Lund said:

__Conversely__**,****the**majority opinion was criticized by Harvard University law professor Alan Dershowitz**,**who wrote: Some critics of**the**decision argue**that****the**majority seemed**to**seek refuge from their own logic**in****the**following sentence**in****the**majority opinion: " Our consideration is limited**to****the**present circumstances**,**for**the**problem of equal protection**in**election processes generally presents__many__complexities**.**__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__

**,**

__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__

**,**some 386 and 486 systems use what is known as " memory interleaving ", which requires twice as

__many__SIMMs and effectively doubles

**the**bandwidth

**.**

#

__Conversely__**,**__many__older British Jews consider it more colloquial and " down-home "**to**say " Shobbes ", " cholla " and " motza ", though**the**vowel**in**these words is**in**fact a patach**,**which is rendered as**in**both Sephardi and Ashkenazi Hebrew**.**__Conversely__

**,**a single email address may be an alias and have a distribution function

**to**

__many__mailboxes

**.**

Conversely and hold

__Conversely__

**,**most realists ( specifically

**,**indirect realists )

__hold__

**that**perceptions or sense data are caused by mind-independent objects

**.**

__Conversely__

**,**if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if

**the**Cauchy – Riemann equations

__hold__

**.**

__Conversely__

**,**if reason is made subservient

**to**scripture

**,**then

**,**Spinoza argues

**,**"

**the**prejudices of a common people of long ago ... will gain a

__hold__on his understanding and darken it

**.**

__Conversely__

**,**

**the**United Steelworkers

**,**

**the**union

**that**represented

**the**miners and

**that**spearheaded

**the**lobbying effort

**,**touted

**the**law as an important new tool with which

**to**

__hold__accountable corporate leadership

**in**on-the-job disasters

**.**

__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__

**,**

**the**lack of this law may allow professors

**to**retaliate via grading against students who

**do**

**not**

__hold__

**the**same political views

**.**

Conversely and universal

__Conversely__

**,**certain general principles ( for example

**,**neighbourliness

**,**or charity ) are seen

**to**be

__universal__and consistent

**.**

As stated earlier

**,**an adjunction between categories C and D gives rise**to**a family of__universal__morphisms**,**one for each object**in**C and one for each object**in**D**.**__Conversely__**,**if there exists a__universal__morphism**to**a functor G: C → D from every object of D**,**then G has a left adjoint**.**__Conversely__

**,**

**the**naming conventions for a station's newscast are sometimes used as a

__universal__on-air branding for

**the**station itself

**,**and may be used for general promotional purposes

**,**even used

**in**promoting syndicated and network programming

**.**

Conversely and algebra

__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__

**,**once a basis for A has been chosen

**,**

**the**products of basis elements can be set arbitrarily

**,**and then extended

**in**a unique

**way**

**to**a bilinear operator on A

**,**i

**.**e., so

**the**resulting multiplication satisfies

**the**

__algebra__laws

**.**

__Conversely__

**,**given a Hopf

__algebra__whose coalgebra structure is given above

**,**we can recover a formal group law F from it

**.**

__Conversely__

**,**given any topological space X

**,**

**the**collection of subsets of X

**that**are clopen ( both closed and open ) is a Boolean

__algebra__

**.**

__Conversely__

**,**symmetric tensors are defined as invariants: given

**the**natural action of

**the**symmetric group on

**the**tensor

__algebra__

**,**

**the**symmetric tensors are

**the**subspace on which

**the**symmetric group acts trivially

**.**

__Conversely__

**,**

**the**normed division algebras immediately give rise

**to**trialities by taking each V < sub > i </ sub > equal

**to**

**the**division

__algebra__

**,**and using

**the**inner product on

**the**

__algebra__

**to**dualize

**the**multiplication into a trilinear form

**.**

__Conversely__

**,**given any Lie

__algebra__with a direct sum decomposition satisfying these three conditions

**,**

**the**linear map σ

**,**equal

**to**

**the**identity on and minus

**the**identity on

**,**is an involutive automorphism

**.**

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