Applying Lagrange's formula with the observation that Ω • r ( t ) = 0 at all times,

Applying higher pressure of the order of hundreds or thousands of kilobars induces a series of phase transformations, in particular with a tetragonal phase appearing at about 900 kbar.

Applying Chow's analysis to the case of the unexpected hanging ( again with the week shortened to two days for simplicity ), we start with the observation that the judge's announcement seems to affirm three things:

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 the rules and customs of prize law, the courts decided whether the Letter of Marque was valid and current, and whether the captured vessel or its cargo in fact belonged to the enemy ( not always easy, when flying false flags was common practice ), and if so the prize and its cargo were " condemned ", to be sold at auction with the proceeds divided among the privateer's owner and crew.

Applying power to one cathode surrounds it with an orange glow discharge.

* Greening The Desert: Applying natural farming techniques in Africa, interview with Masanobu Fukuoka ( retrieved 30 November 2010 )

Applying this recursively gives an algorithm with a multiplicative cost of.

The Cholesky decomposition is commonly used in the Monte Carlo method for simulating systems with multiple correlated variables: The correlation matrix is decomposed, to give the lower-triangular L. Applying this to a vector of uncorrelated samples, u, produces a sample vector Lu with the covariance properties of the system being modeled.

Applying Itō's lemma with f ( S ) =

Applying Itō's lemma with f ( Y ) = log ( Y ) gives

Applying to the French classics the rigorous method used with regard to the texts of the Middle Ages, he published the Pensées of Pascal, revised with the original manuscript ( 1887 – 1889 ), and the Provinciales ( 1891 ), edited with notes.

Applying this with, then and

Applying procedural fairness to an entire society therefore seems certain to create recognizable inefficiencies, and therefore be unfair, and ( by the equivalence of justice with fairness ) unjust.

Applying the rule of description, one occupies oneself with describing instead of explaining.

Applying again Bayes ' theorem, and assuming the classification between spam and ham of the emails containing a given word (" replica ") is a random variable with beta distribution, some programs decide to use a corrected probability:

Applying these methods in the workplace, such as Csikszentmihalyi did with Swedish police officers, can improve morale by fostering a sense of greater happiness and accomplishment, and in correlated to increased performance.

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 cyanoacrylate to some materials made of cotton or wool ( such as cotton swabs, cotton balls, and certain yarns or fabrics ) results in a powerful, rapid exothermic reaction.

Applying this model to the experiences of Mexican Americans forces one to see Mexican American immigrants as positive additions to the " American melting pot ," in which as more additions are made to the pot, the more equal and accepting society will become.

Applying perspective ( pharmacoeconomic ) to analyze cost reduction, it has been shown that savings made by individual hospitals result in actual cost increases to the Provinces.

Applying specially made Lycra garments may also be beneficial.

* Applying a Doppler ultrasonic scanner, the surgeon identifies the axial pedicle of the tissue-flap ( composed of the supraorbital artery and the supratrochlear artery ), usually at the base, next to the medial brow ; the point usually is between the midline and the supraorbital notch.

Applying the motion vectors to an image to synthesize the transformation to the next image is called motion compensation.

Applying the state-transition function to a state may yield two possible results: either an element of together with the next state of the stream, or the element of the singleton set 1 as a separate " final state " indicating that there are no more values in the stream.

Applying the completeness theorem to this result, gives the existence of a model of T where the formula C < sub > T </ sub > is false.

Applying a sinusoidal stress to a Maxwell model gives: where is the Maxwell relaxtion time.

Applying this knowledge, Newman's team looked for points on the body where stretching motions did not take place by painting a series of circles over a portion of the body and then watching their deformations as the wearer walked around or performed various tasks.

Applying a low thrust over a longer period of time is referred to as a non-impulsive maneuver ( where ' non-impulsive ' refers to the maneuver not being of a short time period rather than not involving impulse-change in momentum, which clearly must take place ).

Applying a new standard of " strict scrutiny " in various areas of civil rights law, the Court began to apply this standard to the First Amendment religion clauses as well, reading the Free Exercise Clause to require accommodation of religious conduct except where a state could show a compelling interest and no less burdensome means to achieve that end.

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 Liénard transformation, where the dot indicates the time derivative, the Van der Pol oscillator can be written in its two dimensional form:

Applying gravel to the roads improved their condition markedly, but asphalt and concrete were not used in local roads until around 1930 ( the year West Harrisville Road was paved ).

Applying CGT to a position attempts to determine the optimum sequence of moves for both players until the game ends, and by doing so discover the optimum move in any position.

Applying these figures to the formula we get the equation: Af.

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 the principles of stewardship, ARIN, a nonprofit corporation, allocates Internet Protocol resources ; develops consensus-based policies ; and facilitates the advancement of the Internet through information and educational outreach.

* D. Young Computational Chemistry: A Practical Guide for Applying Techniques to Real World Problems, John Wiley & Sons ( 2001 ).

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 multiple models that are not integrated within and across an organization could be costly in training, appraisals, and improvement activities.

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

Applying video compression algorithms like MPEG1, MPEG2 or MPEG4 allows for fractional BPP values.

Applying this age to the base of the Ediacaran assumes that individual cap carbonates are synchronous around the world and that the correct cap carbonate layers have been correlated between Australian and Namibia.

Applying these laws results in a set of simultaneous equations that can be solved either algebraically or numerically.

Applying EVM in fast-changing work environments is, in fact, an area of project management research.

Applying satisficing to research is a way for researchers to adjust to the vast amount of information today.

Applying Leibniz's Law to the Ship of Theseus problem, S2 is the same as S1 if, and only if, S2 and S1 have all the same properties and relations.

* 1887 – Herman Hollerith applies for US patent # 395, 791 for the ' Art of Applying Statistics ' – his punched card calculator.

* 1889 – Herman Hollerith is issued US patent # 395, 791 for the ' Art of Applying Statistics ' — his punched card calculator.

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 ice to weak muscle groups characteristically leads to improvement in strength of those muscles.

Applying ice for 5 minutes to the muscles reportedly has a sensitivity and specificity of 76. 9 % and 98. 3 %, respectively, for the identification of MG.

Applying Gram-Schmidt one obtains an orthonormal basis for.

Applying the first three of the five focusing steps of TOC, the system constraint for all projects is identified as are the resources.

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