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Page "Wave equation" ¶ 22
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Here and u
Here | u | and | v | denote the length of the strings respectively.
( Hereu is a new function.
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 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 is Leibniz's argument: Let u ( x ) and v ( x ) be two differentiable functions of x.
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, the cyclic group with three elements and generator u:
Here is the character table of C < sub > 3 </ sub > = < nowiki >< u ></ nowiki >, the cyclic group with three elements and generator u:
Here y is the variable of interest, and u is the externally determined variable.
Their new one webpage < u > Here </ 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 >.
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 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 ( x → a ) is the evaluation which gives x the

Here and measures
Here measures in lines with the forest development concept are carried out.
Here conservation measures will also be applied in future.
: Here one measures two different spectral lines, one sensitive to temperature and one which is not.
Here, the hearings are essentially welfare-based and deal with children as in need of compulsory measures of treatment and / or care.
Here, as in the Caucasus, he showed a decided preference for the employment of ordinary legal methods rather than exceptional extralegal measures, even after an attempt on his own life soon afterwards.
( Here the term κ-additive means that, for any sequence A < sub > α </ sub >, α < λ of cardinality λ < κ, A < sub > α </ sub > being pairwise disjoint sets of ordinals less than κ, the measure of the union of the A < sub > α </ sub > equals the sum of the measures of the individual A < sub > α </ sub >.
Here need only be mentioned Louvois's reorganization of the military orders of merit, his foundation of the Hôtel des Invalides, and the almost forcible enrollment of the nobility and gentry of France, in which Louvois carried out part of Louis's measures for curbing the spirit of independence by service in the army or at court.
Here, the order parameter is the magnetization, which measures the magnetic dipole density.
Here Bishop worked on uniform algebras ( commutative Banach algebras with unit whose norms are the spectral norms ) proving results such as antisymmetric decomposition of a uniform algebra, the Bishop-DeLeeuw theorem, and the proof of existence of Jensen measures.
Here, one can see why such measures as hunger strikes can occur in such places as prisons.
Here income inequality measures also can be used to compare the income distributions before and after taxation in order to measure the effects of progressive tax rates.
Here the marked inconsistency which characterized his public life became manifest ; for when John Tyler had become president, had been read out of the Whig party, and had vetoed Whig measures ( including a tariff bill ), for which Cushing had voted, Cushing first defended the vetoes and then voted again for the bills.
Since 2001, at least partially in response to major news coverage of the dangerous road, the city government has taken measures to cut down on such incidents, including posting large signs proclaiming that " A Pedestrian Was Killed Crossing Here " at intersections where fatal accidents have occurred and installing more road-rule enforcement cameras.
Here the camera measures the light intensity in several points in the scene, and then combines the results to find the settings for the best exposure.
Rights Here, Right Now emphasized that concrete human rights measures need to be in place to protect those most vulnerable to and affected by HIV, especially women and girls, people who use drugs, migrants, prisoners, sex workers, men who have sex with men, and transgender persons.
for any open set U of M. Here H < sup > 0 </ sup > means simply the sections over U, and the sheaf cohomology H < sup > 1 </ sup >( 2πiZ |< sub > U </ sub >) is the singular cohomology of U. The connecting homomorphism is therefore a generalized winding number and measures the failure of U to be contractible.
Here Brahms uses counterpoint in the form of a two-part canon in octaves, including inverted canon for several measures in the second half.

5.362 seconds.