For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??

For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;

For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.

For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.

For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;

For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:

For example: 1.

For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.

For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.

For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.

For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;

For example, a 12-to-one engine would power a supersonic VTOL fighter.

For example: Af.

For example: Af.

For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.

For example: Af.

For example, let's consider a standard 283 cubic inch Chevy Aj.

For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.

For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.

For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.

For example, the Friday after Thanksgiving can be substituted for Washington's birthday.

For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.

For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.

For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.

For Grothendieck topologies, the cohomological properties of a site are invariant of the corresponding category of sheaves of sets viewed abstractly as a topos ( A. Grothendieck ).

The approach of Alexander Grothendieck is concerned with the category-theoretic properties that characterise the categories of finite G-sets for a fixed profinite group G. For example, G might be the group denoted, which is the inverse limit of the cyclic additive groups Z / nZ — or equivalently the completion of the infinite cyclic group Z for the topology of subgroups of finite index.

For example in section 1. 8, Grothendieck proves that a functor is pro-representable if and only if it is left exact.

For sheaf cohomology on an algebraic variety, Grothendieck found six spectral sequences relating the possible hyperhomology groups of two chain complexes of sheaves and the hyperhomology groups of their tensor product .< ref > ( EGA III < sub > 2 </ sub >, Théorème 6. 7. 3.

For instance, this applies to the homotopy category of pointed connected CW complexes, as well as to the unbounded derived category of a Grothendieck abelian category ( in view of Lurie's higher-categorical refinement of the derived category ).

Then define the Grothendieck group G < sub > 0 </ sub >( R ) as the group generated by the set of isomorphism classes of finitely generated R-modules and the following relations: For every exact sequence

For a formal statement and proof, see Grothendieck, Éléments de Géométrie Algébrique, vol.

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 given spectral distribution, the photocurrent is linearly proportional to the illuminance ( and to the irradiance ).

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.