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Page "Euler's formula" ¶ 16

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Here and x

Here, n denotes the sample mean of the first n samples ( x 1 , ..., x n ), s 2 n their sample variance, and σ 2 n 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 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 u ( x ) measures the distance from the equilibrium of the mass situated at x.

Here N x 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 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 is

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here is the best short explanation of the origins of the Cold War that has been written.

Here and angle

Here is the center of the ellipse, and is the angle between the < math > X </ Math >- axis and the major axis of the ellipse.

Here, the term " parallax " is the angle or semi-angle of inclination between two sight-lines to the star.

Here d is the spacing between diffracting planes, is the incident angle, n is any integer, and λ is the wavelength of the beam.

Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice.

Here, a minimum of two additional sensors are added to help the system work: these are a steering wheel angle sensor, and a gyroscopic sensor.

Here, ramp flat geometries are not usually observed because the compressional force is at a steep angle to the sedimentary layering.

Here is defined to be the angle-of-view, since it is the angle enclosing the largest object whose image can fit on the film.

Here the parasympathetic and sympathetic stimulation lead to sphincter muscle stimulation during pupillary dilation in the dark, while ciliary contraction caused zonular relaxation leading to pupillary block and angle-closure in combination with pre-existing narrow chamber angle.

Here, the angle is called the amplitude.

Here is a list of various materials and their angle of repose.

Here, a, b, and c are the angles at the centre of the sphere subtended by the three sides of the triangle, and α, β, and γ are the angles between the sides, where angle α is opposite the side which subtends angle a, and so forth.

Here the road ( old SR 5 ) was realigned to cross 575 at a more perpendicular angle when I-575 was constructed.

; Transforming prints: Here two or more very different pictures are used, and the lenses are designed to require a relatively large change in angle of view to switch from one image to another.

; Stereoscopic effects: Here the change in viewing angle needed to change images is small, so that each eye sees a slightly different view.

Here, the light falloff is proportional to the fourth power of the cosine of the angle at which the light impinges on the film or sensor array.

Here, two directional microphones are at the same place, typically pointing at an angle between 90 ° and 135 ° to each other.

Here they know the approximate range to the target and so can read off the angle (+ quick calculation ) to give the left / right corrections in metres.

Here, the Pacific Plate is being subducted under the North American Plate at an angle of nearly 45 degrees.

Here, the altimeter performs synthetic aperture processing and uses a second antenna as an interferometer to determine the across-track angle to the earliest radar return.

Here the fight from any angle or viewpoint can be played, paused rewound or forwarded through.

For example, Engel ( German for angel ), Lange ( anagram of angel ), Winkel ( German for angle, an anagram of angel ), Jordan ( the angel in Here Comes Mister Jordan ), etc.

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