For the moment there was no woman in his life, and it was this vacuum that had given Claire her opportunity.

For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.

For purposes of sample selection only ( individual tests were given later ) we obtained group test scores of reading achievement and intelligence from school records of the entire third-grade population in each school system.

For the industry of this model, the effect of such public pressures in the past has been to hold the price well below the short-run profit-maximizing price ( given the wage rate and the level of GNP ), and even below the entry-limited price ( but not below average cost ).

For some substances, auxiliary properties such as the melting point are given.

For circular fibers in a closely packed hexagonal array, the packing efficiency is given by: Af where Af, and 0.906 is the ratio of the area of a circle to that of the circumscribed hexagon.

For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.

For Mrs. Shaefer -- who had been given a clean bill of health by her own physician at the time she visited Lee -- and her friend were agents for the California Pure Food and Drug Inspection Bureau.

On the clock given him was the inscription, `` For Outstanding Contribution to Billiken Basketball, 1960-61 ''.

For nearly a year, they have been receiving counseling, separately and together, in an effort to understand and overcome the antagonisms which had given rise to the possibility of divorce.

A Sonata For Violin And Piano, called `` Bella Bella '', by Robert Fleming, was given its first United States performance.

For this reason the examples given below are grouped by voltage level.

" For some people, a program is only an algorithm if it stops eventually ; for others, a program is only an algorithm if it stops before a given number of calculation steps.

Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist.

For Altaicists, the version of Altaic they favor is given at the end of the entry, if other than the prevailing one of Turkic – Mongolic – Tungusic – Korean – Japanese.

For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).

For example, one can say for a given transition that it corresponds to the excitation of an electron from an occupied orbital to a given unoccupied orbital.

For an ideal gas the internal energy is given by

For example, given two image elements A and B, the most common compositing operation is to combine the images such that A appears in the foreground and B appears in the background.

For example, if for a given problem size a parallelized implementation of an algorithm can run 12 % of the algorithm's operations arbitrarily quickly ( while the remaining 88 % of the operations are not parallelizable ), Amdahl's law states that the maximum speedup of the parallelized version is times as fast as the non-parallelized implementation.

For example, some see the World Bank and the IMF as corrupt bureaucracies which have given repeated loans to dictators who never do any reforms.

For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.

For cross-referencing, they are given with list indices from Andreini ( 1-22 ), Williams ( 1-2, 9-19 ), Johnson ( 11-19, 21-25, 31-34, 41-49, 51-52, 61-65 ), and Grünbaum ( 1-28 ).

For curves given by the graph of a function, horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to Vertical asymptotes are vertical lines near which the function grows without bound.

For instance, together with the spectral radius formula, it implies that the C *- norm is uniquely determined by the algebraic structure:

For those stars the terms dwarf and giant refer to differences in spectral lines which indicate if a star is on the main sequence or off it.

For its transmission speed, RTTY has low spectral efficiency.

For example, our Sun has the spectral type G2V, which might be interpreted as " a ' yellow ' two tenths towards ' orange ' main-sequence star ".

For a grey body the spectral radiance is a portion of the black body radiance, determined by the emissivity.

For any given light stimulus, regardless of the form of its spectral emittance curve, there always exists a unique mixture of three " primary " lights that when added together, or added to the stimulus, will exactly match it.

For example, the original discovery that far galaxies appeared to have higher spectral redshifts than near galaxies ( an apparent violation of homogeneity ) led to the discovery of Hubble flow, the metric expansion of space that occurs equally in all locations ( restoring homogeneity ).

For random vibration analysis, units of g < sup > 2 </ sup > Hz < sup >− 1 </ sup > are sometimes used for acceleration spectral density.

For continued signals that describe for example stationary physical processes, it makes more sense to define a power spectral density ( PSD ), which describes how the power of a signal or time series is distributed with frequency.

For the purpose of satellite orbital mechanics, the geopotential is typically described by a series expansion into spherical harmonics ( spectral representation ).

For the HeNe laser with a 1. 5 GHz spectral width, the shortest Gaussian pulse consistent with this spectral width would be around 300 picoseconds ; for the 128 THz bandwidth Ti: sapphire laser, this spectral width would be only 3. 4 femtoseconds.

For example, while it is impossible to directly measure temperatures in the upper atmosphere, it is possible to measure the spectral emissions from a known chemical species ( such as carbon dioxide ) in that region.

For example, some districts prefer to use peak acceleration, others use peak velocity, and more sophisticated uses require response spectral ordinates.

For example, by adding a perturbative electric potential to the quantum mechanical model of the hydrogen atom, we can calculate the tiny shifts in the spectral lines of hydrogen caused by the presence of an electric field ( the Stark effect ).

He was awarded the IEEE Medal of Honor in 1982 " For his contributions to the spectral analysis of random processes and the fast Fourier transform ( FFT ) algorithm.

For a greenhouse gas, such as carbon dioxide, radiative transfer codes that examine each spectral line for atmospheric conditions can be used to calculate the change ΔF as a function of changing concentration.

For a group of stars with the same spectral class and a similar magnitude range, a mean parallax can be derived from statistical analysis of the proper motions relative to their radial velocities.

For nearby objects in the universe, spectral absorption lines are very sharp, as only photons with energies just sufficient to cause an atomic transition can cause the transition.

For example, compact operators on Banach spaces have many spectral properties similar to that of matrices.

For radiation emitted by an ideal black body at temperature T, spectral radiance is governed by Planck's law, while the integral of radiance over the hemisphere into which it radiates, in W / m < sup > 2 </ sup >, is governed by the Stefan-Boltzmann law.

For many power distributions of natural light, the set of spectra mapping to the same color perception also includes a stimulus that is a narrow band at a single frequency ; i. e. a pure spectral light ( usually with some flat spectrum white light added to desaturate ).

::: For an arbitrary body radiating and emitting thermal radiation, the ratio between the emissive spectral radiance,, and the dimensionless absorptive ratio,, is one and the same for all bodies at a given temperature.