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expansion and involves
The technique involves the expansion of a gas or mixture of gases through a de Laval nozzle from a high pressure reservoir into a vacuum chamber.
He suggests that one element of this expansion in use " involves the application of the term diaspora to an ever-broadening set of cases: essentially to any and every nameable population category that is to some extent dispersed in space ".
This paradox is explained by the fact that the Big Bang theory also involves the expansion of space which can cause the energy of emitted light to be reduced via redshift.
This involves solving a linear system such that the Taylor expansion of the sum of those points, around the center point, well approximates the Taylor expansion of the desired derivative.
Nonsurgical foreskin involves tissue expansion by pulling the penile skin forward over the glans penis with the aid of tension.
A new and evolving role for paramedics involves the expansion of their practice into the provision of relatively basic primary health care and assessment services.
The third stage of the plan ( Phase III ), started in 2009, involves the extension of the airside concourse (' the Finger ') to 24 gates and 14 jetways, as well as the expansion of Departure Hall and Arrivals Hall in order to raise the capacity of the airport to 6 million passengers yearly.
For the World Cup in 2014, it is running a major reconstruction project that involves an expansion of the stadium's roof, which will cover all seats inside the stadium, unlike the current design, where protection is given from the seats of the bleachers above the gate access of each sector.
This essentially involves expansion of the breast skin and muscle using a temporary tissue expander.
Thermomechanical mechanisms involve stresses by thermal expansion ( namely differential thermal expansions, as thermal gradients tend to be involved ), melting / freezing or sublimation / condensation of components, and phase transitions of crystals ( e. g. transition of HMX from beta phase to delta phase at 175 ° C involves a large change in volume and causes extensive cracking of its crystals ).
The occurrence and expansion of an aneurysm in a given segment of the arterial tree involves local hemodynamic factors and factors intrinsic to the arterial segment itself.
Therefore, it involves planning city expansion and improvements.
The thermal change at a constant pressure not only involves the change in the internal energy of the system but also the work performed either in expansion or contraction of the system.
This procedure is a minimum of 3 steps and involves implantation of an expansion balloon to facilitate the amount of skin needed for grafting.
On the expansion card or motherboard controller, this involves much custom logic, with digital logic engines in FPGAs plus analog circuitry managing the high-speed differential signals.
Accurate description of such a beam involves expansion over some complete, orthogonal set of functions ( over two-dimensions ) such as Hermite polynomials or the Ince polynomials.
This plan involves the construction of Terminal 2 ( concluded and operational since August 2007 ) and expansion of the current main terminal, with new boarding gates, new airbridges and new parking positions and a more efficient use of currently existing structures and a new underground ( metro ) station.
Likewise, the similar game City of Heroes incorporated a Dual Pistols power set into the game in the expansion pack, Going Rogue, which involves switching between ammunition types mid-combat and various trick shots.
The second edition has no expansion packs, although additional scenarios and board sections were released in White Dwarf magazine, such as " Fangs of Fenris " which involves Wolf Guard Terminators of the Space Wolves Space Marines Chapter.
Perturbation theory involves an expansion in the coupling constant, and is well-justified in high-energy QCD where the coupling constant is
* The Dowd-Beckwith reaction involves ring expansion of cyclic β-keto esters.
Differential growth during tropisms mainly involves changes in cell expansion verses changes in cell division, although a role for cell division in tropic growth has not been formally ruled out.
This acceleration will pass the speed of light ( since it involves expansion of the universe itself, not particles moving within it ), causing the observable universe to shrink.

expansion and series
After a series of debates in 1858 that gave national visibility to his opposition to the expansion of slavery, Lincoln lost a Senate race to his arch-rival, Stephen A. Douglas.
A long series of cultural development culminated in the expansion of the Inca civilization and Inca Empire in the central Andes during the 15th century.
It is possible to define the function by its Taylor series expansion around x = 0:
Use of the same expansion expresses the above Lie group commutator in terms of a series of nested Lie bracket ( algebra ) commutators,
A policy of containment was adopted to limit Soviet expansion, and a series of proxy wars were fought with mixed results.
Geoff is unpopular with the rest of the Frontline staff to the point where he is banned from the Frontline set, but they are all supportive when he unexpectedly achieves popularity with his own one-hour programme in Addicted to Fame ( series 3 ), though he is unaware that Mike demanded the plans for the expansion of the show be cancelled because he was jealous of the attention Geoff was getting.
The number of times the interaction Hamiltonian acts is the order of the perturbation expansion, and the time-dependent perturbation theory for fields is known as the Dyson series.
The number of vertices gives the order of the term in the perturbation series expansion of the transition amplitude.
On the ellipsoid of revolution, geodesics may be written in terms of elliptic integrals, which are usually evaluated in terms of a series expansion ; for example, see Vincenty's formulae.
Originally from West-Central Africa, Bantus began a millennium-long series of migrations referred to as the Bantu expansion that first brought them to East Africa about 2000 years ago.
* A western example, the 2004 expansion to the trading card game Magic: The Gathering entitled Champions of Kamigawa features kami and Shinto as the basis for the ongoing storyline of the series.
Six expansion packs and five stuff packs have been released for this third generation of the series.
Parametric and lossy ' instantaneous ' ( i. e. electronic ) nonlinear optical phenomena, in which the optical fields are not too large, can be described by a Taylor series expansion of the dielectric Polarization density ( dipole moment per unit volume ) P ( t ) at time t in terms of the electrical field E ( t ):
The 500 series was the first PowerBook to feature PCMCIA slots, although this was an optional feature which required the user to sacrifice one of the two available battery slots to house the PCMCIA expansion cage.
The relatively short period is characterized by a series of glaciations, the appearance and expansion of anatomically modern humans, and their continuing impact on the natural world.
A well-known approximation scheme, the 1 / N expansion, starts from the premise that the number of colors is infinite, and makes a series of corrections to account for the fact that it is not.
Reviewers and fans of the earlier books noted a slowing of the pace of events in the last few installments owing to the expansion of scale of the series as a whole.
A multiplayer-only spinoff of the series, Wolfenstein: Enemy Territory, was originally planned as a full-fledged expansion pack for Return to Castle Wolfenstein developed by Splash Damage.
In 1976, Time magazine described American daytime television as " TV's richest market ," noting the loyalty of the soap opera fan base and the expansion of several half-hour series to a full hour in order to maximize ad revenues.
The Maclaurin series of 1 /( 1 + x )< sup > 2 </ sup > is 1 – 2x + 3x < sup > 2 </ sup > – ..., which gives a series expansion of:
( An expansion of a series of articles which originally appeared in the Western Antiquary )
A solution that satisfies square-integrable initial conditions for u and u < sub > t </ sub > can be obtained from expansion of these functions in the appropriate trigonometric series.
The integral representation for these types of series is interesting because the integral can often be evaluated using asymptotic expansion or saddle-point techniques ; by contrast, the forward difference series can be extremely hard to evaluate numerically, because the binomial coefficients grow rapidly for large n.

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