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Page "Original proof of Gödel's completeness theorem" ¶ 43
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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 >.
Here the summation is over all prime powers up to x.
Here m is the particle's mass and V ( x ) is the applied potential.
Here x is the node on which the splay operation is performed and root is the root node of the tree.
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 u ( x ) measures the distance from the equilibrium of the mass situated at x.
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 e ( xa ) is the evaluation which gives x the
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, is a function that maps an argument y to result z.
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 ).
She did investigative reporting for " Aquí y Ahora " ( Here and Now ).
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 | u | and | v | denote the length of the strings respectively.
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 to Stay " || Best Metal Performance ||
| || " Here to Stay " || Best Rock Video ||
| 2002 || " Here to Stay " || Best Single ||
| 2002 || " Here to Stay " || Best International Video ( Group ) ||
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.
Carmen Miranda in The Gang's All Here ( 1943 film ) | The Gang's All Here ( 1943 )
Here, the trio's number seven Peugeot Peugeot 908 HDi FAP | 908 HDi FAP is being prepared for the Le Mans race.
Here it is seen from Interstate 5 in California | Interstate 5 near Yreka, California | Yreka.
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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