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Applying and induction
Applying Faraday's law of induction to plane waves, we find, implying that an electrostatic wave must be purely longitudinal.

Applying and rule
Another way of computing this derivative is to view the composite function as the composite of and h. Applying the chain rule to this situation gives:
Applying this rule of thumb, one can apply " common sense " when creating the duration of a single activity or group of activities necessary to produce a deliverable defined by the WBS.
Applying the term to the work of Philip Pullman ( His Dark Materials ), Schweizer clarifies that he does not mean the term to carry the negative connotations of misanthropy: " To me, the word connotes a heroic stance of humanistic affirmation and the courage to defy the powers that rule the universe.
Applying the product rule for differentiation to d ( TS )
Applying this rule often adds humor for both players and on-lookers.
Applying the rule of epoché one sets aside one's initial biases and prejudices in order to suspend expectations and assumptions.
Applying the rule of description, one occupies oneself with describing instead of explaining.
Applying the rule of horizontalization one treats each item of description as having equal value or significance.
Applying the chain rule and first order condition,
Applying his originalist understanding of the Ex Post Facto Clause, Justice Scalia concluded that the Tennessee Supreme Court's retroactive application of its decision to remove the year-and-a-day rule from its jurisprudence rendered Rogers's conviction for murder invalid.
* Applying this rule, the Ninth Circuit nevertheless concluded — in agreement with the district court --
Applying the product rule to the left hand side of ( 3 ) and equating to the left hand side of ( 2 )
Applying an ancient rule that when a husband and wife are known to be alone together behind a closed door the law presumes sexual intercourse may well have taken place, Rabbi Yosef concluded that it was possible the former husband was the daughter's father and hence Jewish law, which very strongly construes all evidence in favour of birth within marriage, had to presume that he was.
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 the principle of indirect rule, the British allowed native authorities to administer populations according to their own traditions.

Applying and repeatedly
Applying this result repeatedly shows that there is a basis for V such that all elements of the Lie algebra are represented by upper triangular matrices.

Applying and starting
Applying the " NcNarney-Clark Directive ", subjects who had served in the German Army were selected for shipment starting August 14, 1946.
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:
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.

Applying and from
Applying the techniques developed at Harvard for generating a paradigm from a representative form and its classification, we can add all forms of a word to the dictionary at once.
Applying source separation techniques on the measured signals can help remove undesired artifacts from the signal.
Applying a negative DC voltage (" bias ") to the control grid will repel some of the electron stream back towards the cathode, thus isolating the plate from the cathode ; full bias will turn the tube off by blocking all current from the cathode.
Applying sound changes apparent in other Sogdian words and inherent in Indo-European he traces the development of * Suγδa from Skuda, " archer ," as follows: Skuda > * Sukuda by anaptyxis > * Sukuδa > * Sukδa ( syncope ) > * Suγδa ( assimilation ).
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 the cosmological principle, this suggests that heavier elements were not created in the Big Bang but were produced by nucleosynthesis in giant stars and expelled across a series of supernovae explosions and new star formation from the supernovae remnants, which means heavier elements would accumulate over time.
Applying the transformation from the polar coordinate system:
Applying the axiom of choice again we get a function from the first order formulas to such functions
) Applying this to the geometric progression 31, 62, 124, 248, 496 ( which results from 1, 2, 4, 8, 16 by multiplying all terms by 31 ), we see that 62 minus 31 is to 31 as 496 minus 31 is to the sum of 31, 62, 124, 248.
Applying his engineering background, Chanute collected all the data that he could find from flight experimentors around the world.
* 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 patches to firmware poses special challenges: re-embedding typically small code sets on hardware devices often involves the provision of totally new program code, rather than simply of differences from the previous version.
Applying the chaos theory to the second law of thermodynamics, the paradox of irreversibility can be explained in the errors associated with scaling from microstates to macrostates and the degrees of freedom used when making experimental observations.
* Applying fuel directly inside the cup-the cup is then usually put on the skin with the fuel still burning ( the flame will quickly extinguish from want of oxygen ).
Applying his mind to the problem of heat, he elaborated a first qualitative temperature scale, comprising about twenty reference points ranging from " cold air in winter " to " glowing coals in the kitchen fire ".
Applying many of the PLATO concepts used in the late 1970s, E. Clarke Porter led the Drake Training and Technologies testing business ( today Thomson Prometric ) in partnership with Novell, Inc. away from the mainframe model to a LAN-based client server architecture and changed the business model to deploy proctored testing at thousands of independent training organizations on a global scale.
Applying a cost-of-living escalation COLA clause to a stream of periodic payments protects the real value of those payments and effectively transfers the risk of inflation from the payee to the payor, who must pay more each year to reflect the increases in prices.
Applying the same techniques ( which involved gradual immunization of horses and sheep by administering small doses of venoms, and then extracting, purifying and freeze-drying the antibody portion from the blood of injected animals ), Vital Brazil and his coworkers were able to discover the first sera against two species of scorpions ' ( 1908 ) and spiders ' ( 1925 ) venoms.
Applying a hydrogen filled discharge tube, he discovered the hydrogen Brackett series, where an electron jumps up from or drops down to the fourth fundamental level, in 1922.
Applying the appropriate bolometric correction reveals that its true total luminosity is about 6500 times that of the Sun, rather than 17 times, as estimated from the visual brightness alone.
* " Applying for a Peace Bond and Filing Assault Charges " – from the Canadian Bar Association, British Columbia Branch

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