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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 '.

from
Wikipedia

## Some Related Sentences

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__

**,**

**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 y

__Here__he unexpectedly met

**a**Spanish expedition led by Dionisio Alcalá Galiano

**and**Cayetano Valdés

__y__Flores.

#

__Here__is another spoken version: There**are**at least three words**in**the English language**that**end**in**" g " or "__y__.__Here__the notion

**of**causality is one

**of**contributory causality as discussed above: If the true value

**,**then

**a**change

**in**will result

**in**

**a**change

**in**

__y__unless some other causative variable

**(**s ), either included

**in**the regression or implicit

**in**the error term

**,**change

**in**such

**a**way as to exactly offset its effect ; thus

**a**change

**in**is not sufficient to change

__y__.

__Here__

**,**

**we**take the first letters

**of**only the words " Head Office "

**(**ho )

**and**

**we**take the " end "

**of**the word " day "

**(**

__y__).

__Here__

__y__*( w ) denotes the value

**of**the linear functional

__y__*

**(**

**which**is an element

**of**the dual space

**of**W ) when evaluated at the element w ∈ W. This scalar

**in**turn is multiplied by

**x**to give as the final result an element

**of**the space V.

__Here__

**are**the dead reckoning equations for the coordinates

**(**

**x**

**and**

__y__),

**and**heading () for

**a**differential drive robot

**with**encoders on both drives:

An American reporter for the Tucson Daily Citizen

**(**1887 ) visited the site**of**his death**,****and**found Cajemé's hat was nailed to**a**tree**,****and****a**wooden cross inscribed**with**the following: " INRI**,**aque fallecio General Cajemé**,**Abril 23**,**1887**,****a**los 11__y__5 la manaña "**(**INRI for Jesus**of**Nazareth**,**King**of**the Jews__Here__died General Cajemé**,**April 23**,**1887 at 11: 05**in**the morning ).
In the Crimean War

**,**he distinguished himself**in**the Battle**of**Malakoff at Sevastopol**(**8 September 1855 ), during**which**he reputedly uttered the famous quotation now attributed to him: J**'**__y__suis**,**j**'**__y__reste ("__Here__I am**,**here I stay ").__Here__Q < sub > Y

**|**X </ sub >(

__y__

**|**

**x**), sometimes called

**a**test channel

**,**is the conditional probability density function

**(**PDF )

**of**the communication channel output

**(**compressed signal ) Y for

**a**given input

**(**original signal ) X

**,**

**and**I < sub > Q </ sub >( Y ; X ) is the mutual information between Y

**and**X defined as

**(**

__Here__

**a**subset S

**of**R is located if

**,**whenever

**x**<

__y__

**are**real numbers

**,**either there exists an element s

**of**S such

**that**

**x**< s

**,**or

__y__is an upper bound

**of**S .)

Here and |

__Here__

**,**it is shown projected outward

**(**gray ) to the celestial sphere

**,**along

**with**the Earth's equator

**and**Earth's rotation

__|__polar axis

**(**green ).

# If A is

**a**cartesian product**of**intervals I < sub > 1 </ sub > × I < sub > 2 </ sub > × ... × I < sub > n </ sub >, then A is Lebesgue measurable**and**__Here__**,**__|__I__|__denotes the length**of**the interval I.__Here__the Canons Regular

**of**the Order

**of**the Holy Cross

__|__Canons Regular

**of**the Holy Cross from Uden

**(**Netherlands )

**are**received by Pope Pius XII.

__Here__is

**a**Sacred ground

**of**the Tenson kōrin

__|__descent to earth

**of**Ninigi-no-Mikoto

**(**the grandson

**of**Amaterasu ).

Image: Perry Como-Here Comes Heaven Again

**in**Doll Face. png__|__Perry Como as Nicky Ricci performing "__Here__Comes Heaven Again "**in**1946 Doll Face__Here__

**,**

**a**view

**of**the 10 beam LLNL Nova

**(**laser )

__|__Nova laser

**,**shown shortly after the laser's completion

**in**1984.

__Here__

**in**Bath

**,**Somerset

__|__Bath

**,**England

**,**18th-century private sector development was designed to appear attractive.

The peak at the center is the ZPD position (" Zero Path Difference "):

__Here__**,**all the light passes through the Michelson interferometer__|__interferometer because its two arms have equal length.__Here__w

**(**A

__|__B ) is the " plausibility "

**of**the proposition A given B

**,**

**and**m is some positive number.

__Here__

**,**the trio's number seven Peugeot Peugeot 908 HDi FAP

__|__908 HDi FAP is being prepared for the Le Mans race.

__Here__Historical Columbia

__|__Columbia

**,**

**a**personification

**of**the United States

**,**leads civilization westward

**with**American settlers

**,**stringing telegraph wire as she sweeps west ; she holds

**a**school book.

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