Applying this subjective case-by-case approach ( known as selective incorporation ), the Court upheld Palko's conviction on the basis that the Double Jeopardy appeal was not " essential to a fundamental scheme of ordered liberty.

Applying the above function to the arguments ( 5, 2 ), we have:

Applying the above formula to the 25-meter-diameter antennas often used in radio telescope arrays and satellite ground antennas at a wavelength of 21 cm ( 1. 42 GHz, a common radio astronomy frequency ), yields an approximate maximum gain of 140, 000 times or about 50 dBi ( decibels above the isotropic level ).

Applying these relations to the strings above, one obtains

Applying information diagrams blindly to derive the above definition has been criticised, and indeed it has found rather limited practical application, since it is difficult to visualize or grasp the significance of this quantity for a large number of random variables.

Applying the above bundle map ( pointwise ) to this section yields the pullback of α by φ, which is the 1-form φ < sup >*</ sup > α on M defined by

Applying the above process ( suppose that n

Applying the Nernst Equation above, one may account for these differences by changes in relative K < sup >+</ sup > concentration or differences in temperature.

Applying the formula above we obtain:

Applying the e < nowiki >'</ nowiki > th iterate of F to a ring which contains a field K of p < sup > e </ sup > elements gives us a fixed point set equal to K, similar to the example above.

Applying this value successively to the tones of a chromatic scale, starting from A above middle C with a frequency of 440 Hz, produces the following sequence of pitches:

Applying these formulas to the above equations is trivial in most cases, but the equation for takes more work:

As defined above one can also get degree of freedom using minimum number of coordinates required to specify a position. Applying it:

Applying jpeg compression on every frame can reduce the BPP to 8 or even 1 bits / pixel.

Applying Fubini's theorem and integrating on the fiber, one gets

Applying this objective test, the Court has held Miranda does not apply to roadside questioning of a stopped motorist or to questioning of a person briefly detained on the street — a Terry stop.

Applying the inverse-square law between the charges on the electron and nucleus, one can write:

Applying source separation techniques on the measured signals can help remove undesired artifacts from the signal.

Applying carefully selected rules at the social level and encouraging appropriate motives at the personal level is, so it is argued, likely to lead to a better overall outcome even if on some individual occasions it leads to the wrong action when assessed according to act utilitarian standards.

Applying again the matrix operator on both side yields

Applying the transmission line model based on the telegrapher's equations, the general expression for the characteristic impedance of a transmission line is:

Applying the filter to an input in this form is equivalent to a Direct Form I or II realization, depending on the exact order of evaluation.

Applying a conception of such illocutionary acts according to which they are ( roughly ) acts of saying something with the intention of communicating with an audience, he describes indirect speech acts as follows: " In indirect speech acts the speaker communicates to the hearer more than he actually says by way of relying on their mutually shared background information, both linguistic and nonlinguistic, together with the general powers of rationality and inference on the part of the hearer.

Applying himself to this problem, Giacconi worked on the instrumentation for X-ray astronomy ; from rocket-borne detectors in the late 1950s and early 1960s, to Uhuru, the first orbiting X-ray astronomy satellite, in the 1970s.

Applying Clausius inequality on this loop,

Applying an operation on a scene graph requires some way of dispatching an operation based on a node's type.

* CLAVIER: Applying case-based reasoning on to composite part fabrication

Applying both sides to e < sub > j </ sub >, the result on each side is the jth partial derivative of f at p. Since p and j were arbitrary, this proves the formula (*).

Applying for a commercial pilot's licence on 2 June 1921 ( in which he gave his name as ' Charles Edward Kingsford-Smith '), he became one of Australia's first airline pilots when he was chosen by Norman Brearley to fly for the newly formed West Australian Airways.

Applying a little bit of ghee on cotton and keeping it on the navel overnight is considered a remedy for dry lips.

Applying this estimate to any even power V < sup > k </ sup > of V and using the Künneth formula shows that the eigenvalues of Frobenius on the middle cohomology of a variety V of any dimension d satisfy

He also wrote An Essay on Electricity: Explaining the Theory and Practice of that Useful Science, and the Mode of Applying it to Medical Purposes ( London, 1784 ), which ran to four editions in his lifetime.

Applying information extraction on text, is linked to the problem of text simplification in order to create a structured view of the information present in free text.

* Applying for a job in an " essential " civilian occupation and seeking deferment on those grounds-often this required a letter from the potential draftee's employer to be accepted.

Applying for this status is a fairly streamlined procedure.

Applying his mathematical prowess to the problem, Piet Hein proposed to use the superellipse which became the hallmark of modern Scandinavian architecture.

Applying the work of Nicolaus Copernicus and other modern scientists, he reveals the principles behind these systems.

Applying similar blades to automobiles instead of chariots is a common trend in modern culture.

Applying the modern rule, both titles descend to heirs general, which left them in abeyance between the daughters of Sir Owen West, and this situation persists to the present day with their respective heirs.

Applying this ancient epoch system to modern calculations of time, which include zero, is what led to the debate over when the third millennium began.

Windows 2000, for example, introduced support for displaying status messages ( including verbose messages that can be turned on through Group Policy ) about the current state to the user ( e. g. " Applying computer settings ..."), and starting applications in the user's context ; this facilitates restarting Windows Explorer automatically if it crashes, as well as starting the Task Manager.