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These models solve the horizon problem through an expanding epoch well before the Big Bang, and then generate the required spectrum of primordial density perturbations during a contracting phase leading to a Big Crunch.

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## Some Related Sentences

These and models

__These__post-acute withdrawal symptoms have also been demonstrated in animal

__models__

**of**alcohol dependence

**and**withdrawal

**.**

__These__

__models__were known as dwarf safeties

**,**or safety bicycles

**,**for their lower seat height

**and**better weight distribution ( although without pneumatic tires

**the**ride

**of**

**the**smaller-wheeled bicycle would be much rougher than that

**of**

**the**larger-wheeled variety ).

__These__include

__models__

**to**study

**the**electronic properties

**of**solids

**,**such as

**the**Drude model

**,**

**the**Band structure

**and**

**the**

**density**functional theory

**.**

__These__

__models__could not easily be reconciled with

**the**way objects are observed

**to**behave on

**the**macro scale

**of**everyday life

**.**

__These__bonds exist between two particular identifiable atoms

**,**

**and**have

**a**direction in space

**,**allowing them

**to**be shown as single connecting lines between atoms in drawings

**,**or modeled as sticks between spheres in

__models__

**.**

__These__

__models__predict

**an**upward trend in

**the**global mean surface temperature

**,**with

**the**most rapid increase in temperature being projected for

**the**higher latitudes

**of**

**the**Northern Hemisphere

**.**

__These__vehicles typically sacrifice some depth

**of**capability from civilian

__models__in order

**to**gain greater speed

**and**independence from prime movers

**.**

__These__have more

**to**do with

**the**simplified

__models__

**of**bulk matter used

**,**

**and**in any case have nothing

**to**do with general relativity

**,**

**and**need

**to**be excluded

**.**

__These__

__models__were popular in

**the**1960s

**,**1970s

**,**but nowadays can be found primarily in old legacy systems

**.**

__These__

__models__also featured

**an**innovation with

**a**generator that doubled up as

**a**self-starter

**,**which was mounted directly on

**the**crankshaft

**.**

__These__

__models__where produced with

**a**1

**,**000 cc two-stroke engine

**,**with

**a**choice between or S versions until 1963

**.**

__These__are represented in theoretical

**and**empirical forms ( as in

**the**neoclassical

**and**endogenous growth

__models__)

**and**in growth accounting

**.**

__These__

__models__afford advantages over classical test theory

**,**including

**the**capacity

**to**produce standard errors

**of**measurement for each score or pattern

**of**scores on assessments

**and**

**the**capacity

**to**handle missing responses

**.**

__These__

__models__

**of**socialism are not

**to**be confused with other forms

**of**market socialism ( e

**.**g

**.**

**the**Lange model ) where publicly owned enterprises are coordinated by

**a**degree

**of**economic planning in setting prices for capital goods

**.**

__These__“ rate-distortion ”

__models__suggest that

**the**genetic code originated as

**a**result

**of**

**the**interplay

**of**

**the**three conflicting evolutionary forces:

**the**needs for diverse amino-acids

**,**for error-tolerance

**and**for minimal cost

**of**resources

**.**

__These__are written in rhyming couplets

**,**

**and**again draw on French

__models__such as Chrétien de Troyes

**,**many

**of**them relating Arthurian material

**,**for example

**,**Parzival by Wolfram von Eschenbach

**.**

__These__

__models__are black box systems

**,**using mathematical

**and**statistical concepts

**to**link

**a**certain input ( for instance rainfall )

**to**

**the**model output ( for instance runoff ).

__These__

__models__focus on

**the**unrestrained seigniorage

**of**

**the**monetary authority

**,**

**and**

**the**gains from

**the**inflation tax

**.**

__These__

__models__include

**the**Radio Shack TandyVision

**,**

**the**GTE-Sylvania Intellivision

**,**

**and**

**the**Sears Super Video Arcade

**.**

These and solve

__These__problems are time consuming

**to**

__solve__

**,**but usually faster than trying all possible keys by brute force

**.**

__These__range from simplified forms

**of**

**the**first-principles equations that are easier or faster

**to**

__solve__

**,**

**to**approximations limiting

**the**size

**of**

**the**system ( for example

**,**periodic boundary conditions ),

**to**fundamental approximations

**to**

**the**underlying equations that are

**required**

**to**achieve any solution

**to**them at all

**.**

__These__later dates for Bertha

**and**Æthelberht also

__solve__another possible

**problem**: Æthelberht's daughter

**,**Æthelburh

**,**seems likely

**to**have been Bertha's child

**,**but

**the**earlier dates would have Bertha aged sixty or so at Æthelburh's likely birthdate using

**the**early dates

**.**

__These__algorithms model diffuse inter-reflection which is

**a**very important part

**of**global illumination ; however most

**of**these ( excluding radiosity ) also model specular reflection

**,**which makes them more accurate algorithms

**to**

__solve__

**the**lighting equation

**and**provide

**a**more realistically illuminated scene

**.**

__These__equations are notoriously difficult

**to**

__solve__

**,**but in many instances approximations suffice for

**a**good description

**of**lifting airfoils

**.**

__These__characterisations

**of**

**the**roots

**of**arbitrary polynomials are generalisations

**of**

**the**methods previously discovered

**to**

__solve__

**the**quintic equation

**.**

__These__were precisely

**the**' urban ills ' Modernism was meant

**to**'

__solve__', but more often than not

**,**

**the**types

**of**' comprehensive ', ' one size fits all ' approaches

**to**planning made things worse.,

**and**residents began

**to**show interest in becoming involved in decisions which had once been solely entrusted

**to**professionals

**of**

**the**built environment

**.**

__These__states are important in their own right

**,**

**and**moreover if

**the**stationary states are classified

**and**understood

**,**

**then**it becomes easier

**to**

__solve__

**the**time-dependent Schrödinger equation for any state

**.**

__These__are actually

**the**easiest puzzles

**to**

__solve__

**,**since fewer other pieces are potential candidates for mating

**.**

__These__two starting trigonometric values are usually computed using existing library functions ( but could also be found e

**.**g

**.**by employing Newton's method in

**the**complex plane

**to**

__solve__for

**the**primitive root

**of**z < sup > N </ sup > − 1 ).

__These__opponents

**of**NATO war claim that war was avoidable

**,**had

**the**real wish

**of**US

**and**NATO been

**to**

__solve__

**the**Kosovo

**problem**

**.**

__These__might be regarded as ' natural ' problems in that there are physical processes that

__solve__these problems

**.**

__These__techniques used are based on

**the**belief that

**the**spirit can

__solve__

**the**body ’ s difficulties by putting

**the**spirit in communication with

**the**body

**.**

__These__categories are not disjoint ;

**to**

__solve__

**a**particular

**problem**

**a**transmission substation may include significant distribution functions

**,**for example

**.**

__These__conditions can be local ( like demanding that

**the**sections in

**the**domain vanish at

**the**boundary ) or more complicated global conditions ( like requiring that

**the**sections in

**the**domain

__solve__some differential equation ).

__These__included Podd ( find out which actions

**a**red blobby character can perform ( e

**.**g

**.**jump

**,**smile

**,**dance ), Squeeze (

**a**two player strategy game

**of**squeezing shapes onto

**a**board )

**and**Cranky (

__solve__maths problems

**to**repair

**a**living calculator ).

__These__various views may be called upon

**to**help

__solve__engineering problems posed by solid-geometry principles

**.**

__These__are very common in government legislatures

**,**

**and**are used

**to**

__solve__special problems

**,**hence their name

**.**

__These__abilities are

**required**

**to**

__solve__puzzles later in

**the**game

**,**

**and**can also be used

**to**great effect in combat

**,**since any non-static object within proximity

**to**

**the**player has

**the**potential

**to**be used as

**a**makeshift defense or

**a**deadly projectile

**.**

__These__equations are generally more difficult

**to**

__solve__than ordinary differential equations

**,**which contain derivatives with respect

**to**only one variable

**.**

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