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Here e ( x → a ) is the evaluation which gives x the

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## Some Related Sentences

Here and e

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.
In December 2004 Joe Pasquale, winner of

**the**fourth series of ITV's I'm**a**Celebrity ... Get Me Out of__Here__!, became well known for his frequent use of**the**term " Jacobs ", for Jacob's Crackers,**a**rhyming slang term for knackers i.__e__. testicles.__Here__, sgn

**(**p

**)**

**is**

**the**signature of each permutation

**(**i.

__e__. + 1 if p

**is**composed of an even number of transpositions, and − 1 if odd.

__Here__,

**the**battery acts as

**a**temporary energy store, allowing

__e__. g.

**the**implementation of regenerative braking and switching off

**the**hydrocarbon engine when idling or stationary

**(**as used in automobiles such as

**the**Toyota Prius ).

* Interactional:

__Here__language**is**used to make contact with others and form relationships**(**__e__. g. ' Love you, mummy ')
For example,

**the**notion of gauge invariance forms**the**basis of**the**well-known Mattis spin glasses,**which**are systems with**the**usual spin degrees of freedom for i = 1 ,..., N, with**the**special fixed " random " couplings__Here__**the**ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take**the**values ± 1,**which**corresponds to**a**most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities,__e__. g. of**the**energy are invariant.__Here__

__e__< sub >

**a**</ sup >< sup > μ </ sup >

**is**

**the**vierbein and D < sub > μ </ sub >

**is**

**the**covariant derivative for fermion fields, defined as follows

__Here__, in each step of

**the**XPath,

**the**axis

**(**

__e__. g. or

**)**

**is**explicitly specified, followed by and then

**the**node test, such as or in

**the**examples above

__Here__,

**a**number of its constituent sovereign nations have legalized traditional authority as manifested in

**the**recognized hereditary transmission of chieftaincy in historically relevant regions of

**the**continent

**(**

__e__. g.

**the**Asantehene of Ghana ).

**(**

__Here__,

__e__

**is**

**the**base of

**the**natural logarithm, about 2. 71828 ..., and i

**is**

**the**imaginary unit,

**a**square root of − 1.

A decade-and-a-half later,

**the**reggae-rock band 311's hit single " I'll Be__Here__Awhile " " borrowed " several lines from " The Lust ..."**(**i.__e__., " And if**a**person, place, or thing can deliver / I will quiver with delight ").__Here__

**the**coefficient A

**is**an approximation of

**the**short-wavelength

**(**

__e__. g., ultraviolet

**)**absorption contributions to

**the**refractive index at longer wavelengths.

__Here__,

**is**density, u, v, and are

**the**components of wind velocity, and

**is**

**the**2-dimensional

**(**i.

__e__. horizontal-component-only

**)**del.

__Here__

**the**U

**(**1

**)**subgroup of U

**(**n

**)**consists of matrices of

**the**form diag

**(**

__e__< sup > iθ </ sup >, 1, 1, ..., 1 ).

__Here__there

**is**

**the**idea that God's heritage

**(**

**the**created world

**)**

**is**largely under

**the**dominion of evil – i.

__e__., it

**is**" shared with Azazel "

**(**Abr.

__Here__| z |

**is**

**the**absolute value or modulus of

**the**complex number z ; θ,

**the**argument of z,

**is**usually taken on

**the**interval 0 ≤ θ < 2π ; and

**the**last equality

**(**to | z |

__e__< sup > iθ </ sup >)

**is**taken from Euler's formula.

__Here__if

**the**null hypothesis weren't rejected

**(**i.

__e__. there

**is**no reason to reject

**the**hypothesis that A

**is**at least as good as B ),

**the**conclusion would be that treatment A should continue to be used.

__Here__,

**the**real-life cast members were superimposed over pictures hanging in an art gallery and interacted with them in different ways

**(**

__e__. g., spinning

**the**canvas to put it right-side up, swinging

**the**frame out as if it were

**a**door, etc .).

__Here__h

**is**

**the**zero-field height

**(**or unreduced height

**)**of

**the**barrier,

__e__

**is**

**the**elementary positive charge, F

**is**

**the**barrier field, and ε < sub > 0 </ sub >

**is**

**the**electric constant.

__Here__

**the**fiber over

**a**point

**x**in M

**is**

**the**set of all frames

**(**i.

__e__. ordered bases

**)**for

**the**tangent space T < sub >

**x**</ sub > M.

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.

__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__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.

Here and →

__Here__π: P

__→__X

**is**required to be

**a**smooth map between smooth manifolds, G

**is**required to be

**a**Lie group, and

**the**corresponding action on P should be smooth.

__Here__FG: D

__→__D and GF: C

__→__C, denote

**the**respective compositions of F and G, and I < sub > C </ sub >: C

__→__C and I < sub > D </ sub >: D

__→__D denote

**the**identity functors on C and D, assigning each object and morphism to itself.

__Here__if f, g: X

__→__Y are group homomorphisms, their coequalizer

**is**

**the**quotient of Y by

**the**normal closure of

**the**set

__Here__

**a**function type

**is**often denoted A

__→__B, following mathematical convention, or B < sup > A </ sub >, based on

**the**fact that there exist exactly B < sup > A </ sub >

**(**exponentially many

**)**set-theoretic functions mapping A to B.

__Here__I: Mon

__→__Grp

**is**

**the**functor sending every monoid to

**the**submonoid of invertible elements and K: Mon

__→__Grp

**the**functor sending every monoid to

**the**Grothendieck group of that monoid.

__Here__, (( α

__→__β

**)**

__→__α

**)**

**is**

**the**type of

**the**function f,

**which**can either return

**a**value of type α directly or apply an argument to

**the**continuation of type

**(**α

__→__β ).

__Here__,

**the**choice

**is**mostly between Latin letters with diacritics, as used in many Latin-based orthographies of other Slavic languages, and digraph combinations, as used in English: ж

__→__ž / zh, ч

__→__č / ch, ш

__→__š / sh, щ

__→__št / ŝ / sht.

Let V be

**a**smooth vector field on**a**smooth manifold M. There**is****a**unique maximal flow D__→__M whose infinitesimal generator**is**V.__Here__D ⊆ R × M**is****the**flow domain.0.629 seconds.