Given their vertical-cavity geometry, VCSOAs are resonant cavity optical amplifiers that operate with the input / output signal entering / exiting normal to the wafer surface.

Given a core geometry, the B field needed for a given force can be calculated from ( 2 ); if it comes out to much more than 1. 6 T, a larger core must be used.

Given the geometric approach, the consideration of homogeneous equations and homogeneous co-ordinates is fundamental, for the same reasons that projective geometry is the dominant approach in algebraic geometry.

Given the Cantor – Dedekind axiom, this algorithm can be regarded as an algorithm to decide the truth of any statement in Euclidean geometry.

# Given an array of values to be sorted, set up an auxiliary array of initially empty " pigeonholes ," one pigeonhole for each key through the range of the original array.

Given a fixed physical relationship in space between the different individual microphone transducer array elements, simultaneous DSP ( digital signal processor ) processing of the signals from each of the individual microphone array elements can create one or more " virtual " microphones.

Given the diversity of solid state compounds, an equally diverse array of methods are used for their preparation.

Given an array of n items, suppose we want an array that holds the same elements in reversed order and dispose of the original.

Given the observation space, the state space, a sequence of observations, transition matrix of size such that stores the transition probability of transiting from state to state, emission matrix of size such that stores the probability of observing from state, an array of initial probabilities of size such that stores the probability that. We say a path is a sequence of states that generate the observations.

Given the array of duties public administrators find themselves performing, the professional administrator might refer to a theoretical framework from which he or she might work.

Given an-element array with an ordering relation as an input for the sorting, consider it as a collection of cards, with the ( unknown in the beginning ) statistical ordering of each element serving as its index.

Given m × n array A and n × m array B, we would like to store the transpose of in.

Given these delays, and increased performance of the UGM-133 Trident II, Congress had already cancelled the 100-missile option in July 1985.

Given these problems and delays, 51st Troop Carrier Wing was not able to conduct a large-scale glider exercise until mid-June.

Given the time delays in communicating with Moscow, the Yakutsk Voivode Frantsbekov decided to act on his own and sent Khabarov back south with a larger force.

Given the size of the Catholic community at the time, the massive bluestone Gothic cathedral was an immense and very expensive undertaking, and there were long delays while funds were raised.

Given the symmetry of circularly polarized light, we could have in fact selected any other two orthogonal components and found the same phase relationship between them.

Given a set of parameters, the second phase computes private and public keys for a single user:

Given the clue of " hand-writing " that terminates the " oral phase " one expects " printing " to terminate the manuscript phase and the " electrifying " to bring an end to the Gutenberg era.

Given Zappa's already stated penchant for expressing his music in " phases "— We're Only in It for the Money was written up as " phase one of Lumpy Gravy "— conceptually, Zappa fans occasionally label this album Phase Two of Burnt Weeny Sandwich.

Given a collection ( ensemble ) of particles, the probability of finding a particle at a certain position in phase space is specified by a probability distribution, the Liouville density.

Given its large mass, this star was formerly a member of spectral type A that has now evolved off the main sequence into the giant phase.

Given two compounds which differ in polarity, the more polar compound has a stronger interaction with the silica and is therefore more capable to dispel the mobile phase from the binding places.

Given approved phase I / II clinical trial clearance, ACT will also use the hESC-derived RPE cells in a trial for Stargardt ’ s Disease simultaneously.

** Axiom 1: Given the high level of uncertainty present at the onset of the entry phase, as the amount of verbal communication between strangers increases, the level of uncertainty for each interactant in the relationship will decrease.

Given the differences of opinion within the Lord Aberdeen cabinet over the direction of foreign policy with regard to relations between Britain and the French under Napoleon III, it is not surprising that debate raged within the government as Louis Bonaparte, now assuming the title of Emperor Napoleon III of France.

Given the tendency for real negotiations in Japan to be conducted privately ( in the nemawashi, or root binding, process of consensus building ), the shingikai often represented a fairly advanced stage in policy formulation in which relatively minor differences could be thrashed out and the resulting decisions couched in language acceptable to all.

Given our political differences, people are sometimes surprised how close Ronnie and I have been to the Kennedy family.

Given a particular wing and its velocity through the air, debates over which mathematical approach is the most convenient to use can be misperceived by novices as differences of opinion about the basic principles of flight.

Given a deadline of seven months to coincide with the North American launch of the Dreamcast, the transition was difficult for the team, due to the differences in hardware.

Given this hypothesis that a novel FOXP2 sequence can aid echolocation, echolocating and non echolocating cetaceans might be predicted to display differences in their FOXP2 sequences.

Given the global nature of gonococcal and meningococcal diseases, the worldwide distribution of antibiotics, differing social practices in controlling and monitoring antibiotic availability, and geographical differences in treatment regimens, it is likely that the global problem of antibiotic resistance will continue in the foreseeable future.

Given small differences in policies, the same type of software can produce radically different social outcomes.

Given the difficulty of distinguishing these differences, an accurate and reliable schizoaffective disorder diagnosis usually requires an extended period of observation and treatment.

Given below are the fundamental differences between physical goods and services:

Given similar doses of the same neuroleptic, differences among individuals still exist in the likelihood of developing tardive dyskinesia.

She has expressed her opinion of the comparison in the lyrics to " God Given Name ": " I'm not her and never will be " — which was purposely set as the album's opening track to show their differences.

Given the differences in facilities and intangibles such as the distance of the new school from Austin and other law students, the Supreme Court ruled it did not satisfy " separate but equal " provisions, and that African Americans must also be admitted to the University of Texas Law School at Austin.

Given its unique cultural and economic development, and linguistic differences ( Greater Sylhet region was a part of Assam and Surma Valley State for much of the British Raj in comparison to the rest of Bangladesh ), and given that Sylhet has, for most of its recent history, been a region of a larger entity.

Given that ( A ) the Georges are among the most rational, principled and educated persons on the planet, and ( B ) their differences from normal humans are purely physical, they conclude that in any situation where the Three laws would come into play, their own orders should take priority over that of a regular human.

Given that the chelandia appear originally to have been oared horse-transports, this would imply differences in construction between the chelandion and the dromōn proper, terms which otherwise are often used indiscriminately in literary sources.

Given the differences in climate and crops around the world, harvest festivals can be found at various times throughout the world.

Given the differences in background, class, slaveholding, economics and culture, there was longstanding competition between the Low Country and Upcountry that played out in politics.

Given the relatively small geographical area and high population density of the UK, online DVD rentals have some differences from in the US, as a single shipping facility can serve the entire country.

" Given good rearing environments, genetic differences among people develop more fully.

" Given the extreme differences between these behaviors —- rhythmic versus tonic, muscular versus ciliary, and brief versus prolonged — these findings reveal a striking versatility for a small multifunctional network.