We also required that the numerically estimated derivatives from Equation 8 be non-negative. |
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We solve numerically a system of two simultaneous equations, with two unknowns, as follows. |
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The ratio of the surface area of a microvillus to the area of the unit cell can be determined numerically. |
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Our approach disclosed a disproportional impact on trophic cascades by numerically minor phototrophs that otherwise would have gone unnoticed. |
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The two sides of the profession, barristers and solicitors, continue to exist, and both have expanded numerically. |
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The second form is based on walks over complete graphs and offers numerically tractable solutions for an increasing number of taxa. |
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The rates of transmission of the dominant markers from one generation to the next are illustrated in the bar graph and shown numerically below. |
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The numerical perturbation method uses a computer to numerically process perturbations. |
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The only way to compute complete trajectories was to integrate the differential equations numerically. |
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He reminded listeners that in 1943 Yugoslav partisans in Serbia fought against numerically superior German forces and won. |
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Sample outcome distributions for three key economic indicators were displayed numerically and graphically. |
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Cursory examination of run times also supports the importance of computing partial derivatives analytically rather than numerically. |
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Female animals were coded alphabetically, while male animals were coded numerically. |
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Over 45,000 arthropods were collected from 55 plants, dominated numerically by Acari and Thysanoptera. |
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Already I'm told the Sept.10th list is now full to overflowing, and is the biggest, numerically, in several years. |
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The Bantu-speaking Kamba are numerically Kenya's fourth most numerous people. |
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Many school leavers have no service available to them come September as their government seems to be numerically challenged! |
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Thus for these particular radiations the dose equivalent in sieverts is numerically equal to the absorbed dose in grays. |
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Chief among these are phalaecean, which he employs in some forty poems, followed numerically by choliambic, the meter of eight poems. |
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Later in the war, when the infantry was numerically inferior, it came to rely more on the artillery. |
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Other numerically significant ethnic groups of Austria include Slovenes, Croats, and Czechs. |
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The sievert is numerically equivalent to the gray for electrons and for X-rays irradiating the whole body. |
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Several numerically calculated trajectories are illustrated, and base Archimedean spirals are compared with analytically obtained results. |
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We are a numerically small nation and are in desperate need of trading and economic alliances. |
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The heat capacity is numerically, but not dimensionally, equivalent to another quantity, the specific heat. |
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The suffix for numerically abbreviated ordinal numerals isn't always th in English, Becky. |
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To the naive or numerically challenged, this might seem miraculous. |
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You can also specify the level numerically by typing a number in the value box. |
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This distribution has to be integrated numerically to obtain its first two moments and the average values of the mutation load and inbreeding depression. |
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But it is important to remind him that it is far too easy for him to take potshots at vegetarians because they are still in the minority, numerically speaking. |
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Minorities are numerically small, interspersed among others and well disposed to the strategy. |
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In the numerical 1-channel representation, the latest measurement of a channel is shown in large letters both numerically and as a bar graph. |
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The communities were dominated numerically by Thysanoptera and Acari, but other taxa including Heteroptera and Coleoptera were also relatively common. |
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We derive an algorithm to numerically integrate differential equations derivable from a separable Hamiltonian function. |
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During the first year of the renewed conflict, numerically superior nationalist troops made large territorial gains, including the communist capital of Yan'an. |
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And forecasts must be expressed numerically, so there can be no hiding behind vague verbiage. |
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The protests against the Queen's presence have been numerically insignificant and inconsequential. |
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You can also define these parameters numerically, and select the slur width by double-clicking on the first note of the slur. |
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We investigate the possibilities of growing a uniform binary compound crystal in space numerically, proposing a new crystal growth method. |
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Passive temperature compensating hydraulic dashpot has been studied numerically as well as experimentally in this paper. |
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These are numerically rated to assess the likely risk of future offending and are the basis of the YOTs recommendations for sentencers. |
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A numerically smaller portion is thriving, and a very small portion is really thriving. |
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Only one drug can be prescribed on each form, and the prescription pads are personalized and numerically recorded for each prescriber. |
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The usual standard of specific gravity is water, in which case the specific gravity is numerically equivalent to the density. |
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Comcast's is now arranged not numerically by channel, but alphabetically by programme, by network and type of content. |
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Their aim will be to make it hard for Miliband to form a government – not numerically hard, but politically hard. |
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The link metrics can be displayed numerically or visually with circles and colors giving an immediate impression of performance. |
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The October Revolution put power in the hands of a working class that was numerically small in a country that was relatively backward. |
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Just to put this numerically for you, right now the value of a film is generated essentially through three big windows. |
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Only a minority of people will discard bags full with rubbish in the Lane, but that minority is still numerically big enough to cause environmental havoc. |
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The dose equivalent in rems is numerically equal to the absorbed dose in rads multiplied by the quality factor, which, for most medical radiation, is one. |
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Cleveland may have shrunk, but it remains relevant both numerically and as a cautionary tale. |
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Because of the belatedness of capitalist development, the working class was numerically too weak to carry out the democratic and national struggle. |
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Working with this activity, one student came to a sudden realization that the slope on one graph was numerically equal to the y-coordinate for the other. |
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We can often engage a numerically superior enemy and still win. |
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The files were arranged numerically in one single running number sequence. |
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This differs from allopatric speciation in that the isolated populations are numerically much smaller than the parental population. |
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To understand why Hitler sought to eradicate the Romanies, a people who presented no problem numerically, politically. |
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Numerical difference thus entails the failure of numerical sameness, but not conversely: a part is not numerically the same as its whole, but it is not numerically different from its whole. |
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The numerically inferior Spanish were not the same smashing side that ran riot in the first half, as the distant flashes of lightning were the only sparks on display in a desultory second period. |
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It may well be that Nice prepares the EU for enlargement numerically. |
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Then, regarding that each face is an obstacle for the suns rays, the program returns graphically and numerically the sunniness of the selected faces. |
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A price elasticity numerically smaller than 1 implies that the cross-price substitution elasticities to other metals are even smaller, i.e. the competitive impact of other metals is not very high. |
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Though numerically the Family's numbers are still large in Europe and the United States, the Family is now flourishing in Asia, Africa, and Central and South America. |
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The average percentages of both men and women changed slightly since 1997, although numerically the total number of employees has constantly increased. |
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Where possible they could be expressed numerically and where this is not possible they could be of a kind which can be repeated, for example by taking a photograph from the same point. |
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Lloyd George was increasingly under the influence of the rejuvenated Conservative party who numerically dominated the coalition. |
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This can arise from a sense of being swamped by a numerically dominant culture, or of being overwhelmed by one that either presents itself as being superior or that simply assumes a proprietary right to a dominant position. |
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The standard event bulletin shall indicate numerically for each event the degree to which that event meets or does not meet the event screening criteria. |
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By 1945 Indians were numerically dominant in the ICS and at issue was loyal divided between the Empire and independence. |
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The strength of the gravitational field is numerically equal to the acceleration of objects under its influence. |
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Reid held that continuity of memory was neither necessary nor sufficient to make one numerically the same person at different times. |
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All magnitude scales have been designed to give numerically similar results. |
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He inflicted 25,000 casualties on a numerically superior enemy army while sustaining fewer than 7,000 in his own force. |
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For ease of reference, epigraphers refer to glyph blocks from left to right alphabetically, and top to bottom numerically. |
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Hundreds of French soldiers were stranded and surrendered to the numerically inferior Spanish forces led by Pedro Menendez. |
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Yet Ms Colley suggests that England, the dominant part of the union numerically and linguistically, is the least well defined, and notions of what it means to be English often divide rather than cohere. |
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Meanwhile, the most expensive and prestigious nonprofit colleges — numerically few, but large in mindshare — are experiencing a kind of cognitive dissonance around cost and debt. |
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The DCC makes it possible for the first time in dairy farming history to measure somatic cells on the farm with high accuracy and receive the result numerically in less than one minute. |
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Mr Kenyatta's victory was thanks more to his canniness in building tribal alliances that numerically outweighed those that Mr Odinga put together, than to any set of policies. |
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This bifunctional cloaking performance is also numerically verified for a line-source nonuniform excitation. |
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Albeit it is inherently impossible to numerically calculate the cost-benefit of the alliance, it is increasingly clear that the picture of the 21st century ROK-US alliance seems poised to exact South Korea an exorbitant cost. |
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Each essay is sub-divided into numerically marked sections and is written in a business-oriented argot of acronyms and neologisms. |
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In parallel, several organizations did not systemize their results by grouping activities by main categories and numerically assessing the results achieved. |
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The composition of the Convention is, numerically at least, well-known. |
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Certain sectors hold out good, or even very good, prospects for industrial conversion and green jobs, but numerically the results to date have been quite scant. |
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Hizballah does not represent all the Shi'i Muslims of Lebanon but competes with the much more moderate, and numerically stronger, AMAL organization which it tries to radicalize, albeit with only limited success. |
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The Conservatives were unable to form a government alone as they had fewer seats despite receiving more votes numerically. |
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But those sightings are all numerically dwarfed by the enormous broad-winged hawk migration of nearly two million birds that usually occurs in our region this coming week. |
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Spain still had numerically larger fleets, but England was catching up. |
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At Turnham Green on the outskirts of London, the royalist army met resistance from the city militia, and faced with a numerically superior force, Charles ordered a retreat. |
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Wellington is famous for his adaptive defensive style of warfare, resulting in several victories against numerically superior forces while minimising his own losses. |
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When he determined that a long defensive war would ruin his army, Wellesley decided to act boldly to defeat the numerically larger force of the Maratha Empire. |
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To get ahead on the academic ladder, one is strictly assessed numerically. |
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Despite having a numerically superior armoured force, the French failed to use it properly, or to deliver an attack on the vulnerable German bulge. |
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The case of the planar circular photogravitational restricted three-body problem where the more massive primary is an emitter of radiation is numerically investigated. |
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Methods to numerically predict flutter are often based on calculated or measured normal modes of a free airplane and simple or more advanced models of unsteady aerodynamics. |
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Digital Simulation in Electrochemistry explains to the reader how to numerically solve the parabolic partial differential equations encountered in electroanalytical chemistry. |
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Equation can be solved numerically using a discretization method. |
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S Club 7 shortened the name, becoming the more streamlined and less challenging for the numerically illiterate S Club, and things pootled along calmly for a while. |
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The purpose of this project is to assess this question in the context of a numerically specified neoclassical growth model modified to include monopolistic competition. |
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