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Here u ( x, t ) is the temperature of the rod at position x and time t and α is a constant that depends on how fast heat diffuses through the rod.

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Wikipedia

## Some Related Sentences

Here and u

__Here__

__u__might describe

**the**displacement

**of**

**a**stretched string from equilibrium

**,**or

**the**difference in air pressure in

**a**tube

**,**or

**the**magnitude

**of**an electromagnetic field in

**a**tube

**,**

**and**c

**is**

**a**number

**that**corresponds to

**the**velocity

**of**

**the**wave

**.**

__Here__

**,**

**is**density

**,**

__u__

**,**v

**,**

**and**are

**the**components

**of**wind velocity

**,**

**and**

**is**

**the**2-dimensional

**(**i

**.**e

**.**horizontal-component-only

**)**del

**.**

__Here__he published his earliest work

**(**Historisch-kritischer Versuch über die Entstehung

__u__

**.**die frühesten Schicksale der schriftlichen Evangelien ),

**a**treatise which had considerable influence

**on**subsequent investigations as to

**the**origin

**of**

**the**gospels

**.**

__Here__<

__u__> n </

__u__>

**is**

**the**numeral corresponding to

**the**natural number n

**,**which

**is**defined to be

**the**closed term 1 + ··· + 1

**(**n ones ),

**and**<

__u__> f

**(**n )</

__u__>

**is**

**the**numeral corresponding to f

**(**n ).

__Here__

**is**

**the**character table

**of**C < sub > 3 </ sub > = < nowiki ><

__u__></ nowiki >,

**the**cyclic group with three elements

**and**generator

__u__:

<

__u__> New York Times </__u__> 25 Oct**.**1941 </ ref >< ref >" 2 Texas Merchants Held With Thieves ; Supposedly Reputable Men Seized__Here__**,**Accused**of**Buying Stolen Goods Linked to Ex-Convicts ".

Here and x

__Here__

**,**< sub > n </ sub > denotes

**the**sample mean

**of**

**the**first n samples

**(**

__x__< sub > 1 </ sub >, ...,

__x__< sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance

**,**

**and**σ < sup > 2 </ sup >< sub > n </ sub > their population variance

**.**

In 3 dimensions

**,****a**differential 0-form**is**simply**a**function f**(**__x__**,**y**,**z );**a**differential 1-form**is****the**following expression:**a**differential 2-form**is****the**formal sum:**and****a**differential 3-form**is**defined by**a**single term:**(**__Here__**the**a-coefficients are real functions ;**the**" wedge products ", e**.**g**.**can be interpreted as some kind**of**oriented area elements**,****,**etc**.**__Here__

**,**

__x__

**is**

**the**angle

**that**

**a**line connecting

**the**origin with

**a**point

**on**

**the**unit circle makes with

**the**positive real axis

**,**measured counter clockwise

**and**in radians

**.**

__Here__Person

**(**

__x__

**)**

**is**interpreted to mean

__x__

**is**

**a**person

**,**Time

**(**y

**)**to mean

**that**y

**is**

**a**moment

**of**

**time**

**,**

**and**Canfool

**(**

__x__

**,**y

**)**to mean

**that**

**(**person

**)**

__x__can be fooled

**at**

**(**

**time**

**)**y

**.**

__Here__

**(**

__x__

**,**y |

__x__', y ') means

**that**instead

**of**ψ we are writing

**a**different formula

**,**in which

__x__

**and**y are replaced with

__x__'

**and**y '.

__Here__

**,**we have < tt >( λx

**.**xx )( λx

**.**xx

**)**→

**(**xx ):= λx

**.**xx =

**(**

__x__:= λx

**.**xx )(

__x__:= λx

**.**xx

**)**=

**(**λx

**.**xx )( λx

**.**xx )</ tt >.

The Wildhearts song ' 29

__x__The Pain ', which namedrops**the**bands major influences**,**opens with**the**lyrics '__Here__**,**sitting in my room**,**with**the**Replacements**and**Hüsker Dü '.__Here__N < sub >

__x__</ sub >

**is**

**the**number

**of**

__x__atoms per volume

**,**λ

**the**electron escape depth

**,**θ

**the**analyzer angle

**,**T

**the**transmission

**of**

**the**analyzer

**,**I

**(**

**t**

**)**

**the**electron excitation flux

**at**depth

**t**

**,**dΩ

**the**solid angle

**,**

**and**δt

**is**

**the**thickness

**of**

**the**layer being probed

**.**

Here and t

__Here__k

**is**first-order rate

**constant**having dimension 1 /

**time**

**,**

**(**

__t__

**)**

**is**concentration

**at**

**a**

**time**

__t__

**and**< sub > 0 </ sub >

**is**

**the**initial concentration

**.**

This

**is**an approximate equation**that****is**derived from**the**incompressible Navier-Stokes equations**(**written in spherical coordinate system**)****and**describes**the**motion**of****the**radius**of****the**bubble R as**a**function**of****time**__t__**.**__Here__**,**μ**is****the**viscosity**,**p**the**pressure**,****and**γ**the**surface tension**.**
Music critic Jon Savage pinpointed Be

__Here__Now as**the**moment where Britpop ended ; Savage said**that**while**the**album " isn't**the**great disaster**that**everybody says ," he noted**that**"__t__was supposed to be**the**big**,**big triumphal record "**of****the**period**.**
* The ' I Didn ’

__t__Know The Way To Kings Cross When I First Came__Here__But Look At Me Now ' Book By William Rushton**,**Author**,**Artist And Beer-Drinker Extrodinary William Rushton**(**New England Library**,**1966**)**__Here__A < sub >–</ sub >

**and**A < sub >+</ sub > are

**the**absorbances

**of**LCP or RCP

**,**respectively ; ω

**is**

**the**modulator frequency – usually

**a**high acoustic frequency such as 50 kHz ;

__t__

**is**

**time**;

**and**δ < sub > 0 </ sub >

**is**

**the**time-dependent wavelength shift

**.**

__Here__G

**is**final average grain size

**,**G < sub > 0 </ sub >

**is**

**the**initial average grain size

**,**

__t__

**is**

**time**

**,**m

**is**

**a**factor between 2

**and**4

**,**

**and**K

**is**

**a**factor given by:

__Here__

**is**

**a**quoted text from PA web site: “ The Press Association supplies services to every national

**and**regional daily newspaper

**,**major broadcasters

**,**online publishers

**and**

**a**wide range

**of**commercial organisations .” Overall

**,**in

**a**system where all different media organizations gather their stories from

**the**same source

**,**then we can ’

__t__really call

**that**system pluralist

**.**

__Here__she

**is**

**,**blessed with

**a**gift

**,**with

**the**opportunity to rock

**and**give

**and**she's running

**on**some bulls **

__t__?

__Here__dt

**is**

**the**matrix

**of**one-forms obtained by taking

**the**exterior derivative

**of**

**the**components

**of**

__t__

**.**

__Here__

**,**∆

__t__< sub > 1 </ sub >

**and**∆

__t__< sub > 2 </ sub > represent

**the**propagation delay s

**of**

**the**logic elements

**.**

__Here__

**,**

**the**right hand side

**is**clearly not convergent for any non-zero value

**of**

__t__

**.**However

**,**by truncating

**the**series

**on**

**the**right to

**a**finite number

**of**terms

**,**one may obtain

**a**fairly good approximation to

**the**value

**of**for sufficiently small

__t__

**.**Substituting

**and**noting

**that**results in

**the**asymptotic expansion given earlier in this article

**.**

Producer Susskind

**and**actor Harvey Keitel would work together again**on**Martin Scorsese's Alice Doesn ’__t__Live__Here__Anymore**(**1974 ).2.343 seconds.