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Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

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## Some Related Sentences

Consider and simple

__Consider__how

**a**

__simple__expression such as could be evaluated – one could also compute

**the**equivalent

**.**

__Consider__for example

**a**sample Java fragment to represent some common farm " animals " to

**a**level

**of**abstraction suitable to model

__simple__aspects

**of**their hunger

**and**feeding

**.**

__Consider__

**the**

__simple__case

**of**two-body system

**,**where object A

**is**moving towards another object B

**which**

**is**initially at rest ( in any particular frame

**of**reference ).

__Consider__

**a**

__simple__banking application where two users have access to

**the**funds in

**a**particular account

**.**

Writing in 1960

**,**he begins: "__Consider__**a**very long sequence**of**symbols ... We shall consider such**a**sequence**of**symbols to be '__simple__'**and**have**a**high**a**priori probability**,**if there exists**a**very brief description**of**this sequence-using**,****of**course**,**some sort**of**stipulated description method**.**
In

**the**case that T acts on euclidean space R < sup > n </ sup >, there**is****a**__simple__geometric interpretation for**the**singular values:__Consider__**the****image****by**T**of****the****unit**sphere ; this**is**an ellipsoid**,****and**its semi-axes are**the**singular values**of**T (**the**figure provides an example in R < sup > 2 </ sup >).__Consider__

**a**

__simple__exchange economy with two identical agents

**,**one ( divisible ) good

**,**

**and**two potential states

**of**

**the**world (

**which**occur with some probability ).

__Consider__

**a**

__simple__gravity pendulum

**,**whose length equals

**the**radius

**of**

**the**Earth

**,**suspended in

**a**uniform gravitational field

**of**

**the**same strength as that experienced at

**the**Earth's surface

**.**

__Consider__

**a**

__simple__case:

**a**perfectly competitive market where fuel

**is**

**the**sole input used

**,**

**and**

**the**only determinant

**of**

**the**cost

**of**work

**.**

Consider and closed

*

__Consider__**the**set**of**all functions from**the**real number line to**the**__closed__**unit**interval**,****and**define**a**topology on so that**a**sequence in converges towards if**and**only if converges towards for all**.**__Consider__

**the**

__closed__intervals for all integers k ; there are countably many such intervals

**,**each has measure 1

**,**

**and**their union

**is**

**the**entire real line

**.**

__Consider__

**a**test apparatus consisting

**of**

**a**

__closed__

**and**well insulated cylinder equipped with

**a**piston

**.**

If S

**is**compact but not__closed__**,**then it has an accumulation point**a**not in S**.**__Consider__**a**collection consisting**of**an open neighborhood N ( x ) for each x ∈ S**,**chosen small enough to not intersect some neighborhood V < sub > x </ sub >**of****a****.**__Consider__

**a**system S

**and**environment ( bath ) B

**,**

**which**are

__closed__

**and**can be treated quantum mechanically

**.**

__Consider__

**a**quantum mechanical particle confined to

**a**

__closed__loop ( i

**.**e.,

**a**periodic line

**of**period L ).

Consider and plane

__Consider__

**a**planar projection

**of**each knot

**and**suppose these projections are disjoint

**.**Find

**a**rectangle in

**the**

__plane__where one pair

**of**sides are arcs along each knot but

**is**otherwise disjoint from

**the**knots

**.**

__Consider__

**a**point in

**a**continuum under

**a**state

**of**

__plane__stress

**,**or

__plane__strain

**,**with stress components

**and**all other stress components equal to zero ( Figure 7

**.**1

**,**Figure 8

**.**1 ).

__Consider__

**a**set

**of**points R ( R

**is**

**a**vector depicting

**a**point in

**a**Bravais lattice ) constituting

**a**Bravais lattice

**,**

**and**

**a**

__plane__wave defined

**by**:

__Consider__

**the**illustration

**,**depicting

**a**

__plane__intersecting

**a**cone to form an ellipse (

**the**interior

**of**

**the**ellipse

**is**colored light blue ).

__Consider__region D in

**the**

__plane__:

**a**

**unit**

**circle**or general polygon —

**the**asymptotics

**of**

**the**problem

**,**

**which**are

**the**interesting aspect

**,**aren't dependent on

**the**exact shape

**.**

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