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.

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

Applying Six Sigma techniques to ITIL brings the engineering approach to ITIL's framework.

Applying Lean techniques promotes continuous improvement of the ITIL's best practices.

Applying the same techniques to studying the Hudson Gorge that he had used in the Galápagos, Beebe encountered a surprising variety of sea animals, many of which had previously been thought to be exclusive to the tropics.

Applying proper motivational techniques can be much harder than it seems.

Applying these techniques, Arthur Cayley has found a general criterion for determining whether any given quintic is solvable.

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 protective / supportive techniques that allow the athlete to regain physically active lifestyle

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

Applying Laplace transformation results in the transformed PID controller equation

Applying Gibbs free energy equation for reactions:

Applying separation of variables again to the second equation gives way to the pair of differential equations

Applying both sides of this matrix equation to the component vector v < sub > 1 </ sub >( φ < sub > 1 </ sub >< sup >− 1 </ sup >( P )) and invoking ( 1 ) and ( 2 ) yields

Applying the operator L to each side of this equation results in the completeness relation, which was assumed true.

Applying these simplifying assumptions to the spatial components of the geodesic equation gives

Applying the first equation a second time to each equation can emulate a moving piece of paper ( see the figure below ).

Applying the Ampère-Maxwell equation to surface S < sub > 1 </ sub > we find:

Applying the first equation of this section to this last equation we get

Applying equation ( 1 ) to a subsystem yields:

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

Applying the result of the previous subsection to the displacement, the velocities in the two reference frames are related by the equation

Applying ( 4 ) to ( 3 ) we get equation for gradient:

Applying Newton's method to ( 4 ) and ( 5 ) we get an equation for update:

Applying vector identities and making certain approximations gives the seismic wave equation in homogeneous media:

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.

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

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

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

* 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 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 the rational root theorem thus yields the following possible roots for t:

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

* Applying Hungarian notation in a narrower way, such as applying only for member variables helps avoiding naming collision.

Applying for a COL does not commit the utilities to construct the plant, but it is part of the licensing process, say officials of all the utilities.

Applying black patch to Barbara Loden's head for hole in head illusion ( 1957 )

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.

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 these three sorts of derivatives again to each other gives five possible second derivatives, for a scalar field f or a vector field v ; the use of the scalar Laplacian and vector Laplacian gives two more:

Applying a delta-v at the LEO of only 0. 78 km / s more ( 3. 20-2. 42 ) would give the rocket the escape speed, while at the geostationary orbit a delta-v of 1. 46 km / s is needed for reaching the escape speed of this circular orbit.

" Applying Case-Based Reasoning: Techniques for Enterprise Systems ".

Applying the principles of comparative negligence, the jury found that McDonald's was 80 % responsible for the incident and Liebeck was 20 % at fault.

Applying this to a space of dimension 0, which contains exactly one vector ( the zero vector ), the only candidate for a basis is the empty set ( both because 0 elements are required, and because the zero vector cannot be in any basis ).