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We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

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Brown Corpus

## Some Related Sentences

We and first

__We__note

**that**

**,**

__first__

**,**America

**has**already made great contributions in

**the**past two years to

**the**world's fund

**of**knowledge

**of**astrophysics

**and**space science

**.**

``

__We__are menaced for**the**__first__time in**the**history**of****the**Republic by**the**open**and**unblushing effort**of****a**multi-millionaire to purchase**the**Presidential nomination**.**__We__find

**,**in

**the**

__first__place

**,**

**that**

**the**students overwhelmingly approve

**of**higher education

**,**positively evaluate

**the**job their own institution

**is**doing

**,**do not accept most

**of**

**the**criticisms levelled against higher education in

**the**public prints

**,**

**and**

**,**

**on**

**the**whole

**,**approve

**of**

**the**way their university deals with value-problems

**and**value inculcation

**.**

__We__who are living today may learn

**a**valuable lesson from those who celebrated

**the**

__first__Thanksgiving Day

**.**

__We__quickly ran into

**the**same trouble

**that**plagued Bill Ruger in his

__first__experiments

**:**Three or four bullets would be placed well in

**a**six-inch bull

**at**100 yards

**and**then

**,**unaccountably

**,**one could stray far out

**of**

**the**group

**.**

__We__unanimously agreed

**that**Prokofieff had won his rights

**as**

**a**world citizen to

**the**

__first__ranks

**of**Twentieth-Century Composers

**.**

__We__shall show

**that**

**the**polynomials Af behave in

**the**manner described in

**the**

__first__paragraph

**of**

**the**proof

**.**

__We__should

__first__recognize our tendency to develop

**a**hierarchy

**of**values

**,**locating brief treatment

**at**

**the**bottom

**and**long-term intensive service

**at**

**the**top

**,**instead

**of**seeing

**the**services

**as**part

**of**

**a**continuum

**,**

**each**important in its own right

**.**

__We__will deal

__first__with

**the**program in

**the**Congo though this was put into operation later than

**the**other

**.**

__We__should say

**that**we made our point with feeling

**the**

__first__time

**and**little or no feeling

**the**second time

**,**but

**that**it was

**the**same point we were making

**.**

__We__had looked forward to what we hoped to be our

__first__informal meeting with

**a**number

**of**Moscow's artists

**.**

`` Disaffiliation ''

**,**by**the**way**,****is****the**term used by**the**critic**and**poet**,**Lawrence Lipton**,**who**has**written several articles**on**this subject**,****the**__first__**of**which**,**in The Nation**,**quoted**as**Epigraph**:**``__We__disaffiliate**.**__We__

__first__see him shaking Mrs. Joe's hand

**on**discovering

**the**sizable amount

**of**

**the**premium paid to her husband for Pip's indenture

**as**an apprentice

**and**later pumping Pip's hands `` for

**the**hundredth time

**at**least '' ( `` May I -- may I -- ''??

``

__We__intend to attend**the**downtown theaters before**the**__first__**of****the**year ''**,****the**identically worded letters said**.**__We__may show

**,**

__first__

**,**

**that**there cannot possibly be an alternative other than

**the**

**three**typically represented by Bultmann

**,**Barth

**,**

**and**Buri

**.**

Clearly we can do this

**:**__We__start**at****the**__first__box**,**choose an item ; go to**the**second box**,**choose an item ;**and**so**on****.**
Even his old literary home

**,**Punch**,**where**the**When__We__Were Very Young verses had__first__appeared**,**was ultimately to reject him**,****as**Christopher Milne details in his autobiography The Enchanted Places**,**although Methuen continued to publish whatever Milne wrote**,**including**the**long poem ' The Norman Church '**and**an assembly**of**articles entitled Year In**,**Year Out ( which Milne likened to**a**benefit night for**the**author ).

We and define

Articles

**of**faith are sets**of**beliefs usually found in creeds**,**sometimes numbered**,****and**often beginning with "__We__believe ...", which attempt to more or less__define__**the**fundamental theology**of****a****given**religion**,****and**especially in**the**Christian Church**.**__We__can then

__define__

**the**differential map d

**:**

**C**< sup >∞</ sup >( M ) →

**T**< sub > x </ sub >< sup >*</ sup > M

**at**

**a**point x

**as**

**the**map which sends f to df < sub > x </ sub >.

__We__should not

__define__' wisdom '

**as**

**the**absence

**of**folly

**,**or

**a**healthy thing

**as**whatever

**is**not sick

**.**

__We__cannot

__define__

**a**point except

**as**' something with no parts ', nor blindness except

**as**'

**the**absence

**of**sight in

**a**creature

**that**

**is**normally sighted '.

__We__need

**a**" mark " to

__define__where we are

**and**which direction we are heading to see if we ever get back to exactly

**the**same pixel

**.**

Verner wrote

**,**"__We__can conclude**that**although**the**ancient Egyptians could not precisely__define__**the**value**of**π**,**in practice they used it ".__We__

__define__

**the**degree

**of**to be

**the**number

**of**universal quantifier blocks

**,**separated by existential quantifier blocks

**as**shown above

**,**in

**the**prefix

**of**

**.**

__We__

__define__

**the**inverse limit

**of**

**the**inverse system (( A < sub > i </ sub >)< sub > i ∈ I </ sub >, ( f < sub > ij </ sub >)< sub > i ≤ j ∈ I </ sub >)

**as**

**a**particular subgroup

**of**

**the**direct product

**of**

**the**A < sub > i </ sub >' s

**:**

__We__wish to maximize total value subject to

**the**constraint

**that**total weight

**is**less than or equal to W

**.**Then for

**each**w ≤ W

**,**

__define__m to be

**the**maximum value

**that**can be attained with total weight less than or equal to w

**.**m then

**is**

**the**solution to

**the**problem

**.**

__We__could also

__define__

**a**Lie algebra structure

**on**

**T**< sub > e </ sub > using right invariant vector fields instead

**of**left invariant vector fields

**.**

__We__assume

**that**A

**is**an m-by-n matrix over either

**the**real numbers or

**the**complex numbers

**,**

**and**we

__define__

**the**linear map f by f ( x ) = Ax

**as**above

**.**

__We__may

__define__

**a**possibly different topology

**on**X using

**the**continuous ( or topological ) dual space X < sup >*</ sup >.

__We__can also

__define__it

**as**

**a**second component

**of**business which includes all activities

**,**functions

**and**institutions involved in transferring goods from producers to consumer

**.**

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