With troops dispersed on fields of battle rather than on the parade ground, it may seem that a certain amount of monitoring is automatically enforced by the lines of communication.

With each vertex we associate certain numerical values, namely the set of positive differences in the parameter T between the vertex and its corresponding forward corner points.

With such conflicting perspectives, it can be argued that a certain polarization between both supporters and opponents of President Uribe seems to be forming both inside and outside the country.

With a " concession rule " that required participants to make a certain number of concessions, early debates at IALA sometimes grew from heated to explosive.

With certain modifications, the most important of which were introduced later by Aasen himself, but also through a latter policy aiming to merge this Norwegian language with Dano-Norwegian, this language has become Nynorsk (" New Norwegian "), the second of Norway's two official languages ( the other being Bokmål, the Dano-Norwegian descendant of the Danish language used in Norway at Aasen's time ).

With this discovery, came the realization that movement of ice sheets might act to concentrate meteorites in certain areas.

With a rigorous foundation, these paradoxes instead suggest proofs that certain classes are proper.

With his Ziggy Stardust persona, David Bowie made artifice and exaggeration central — elements, again, that were picked up by the Sex Pistols and certain other punk acts.

With the exception of certain types of RNA, most other biological molecules are relatively inert elements upon which proteins act.

With respect to indoor air quality, workers can be exposed to fine particulate matter, carbon monoxide and certain heavy metals.

With the advent of higher level languages, computer architects also started to create dedicated instructions to directly implement certain central mechanisms of such languages.

With the development of genetic engineering, it became possible to insert animal genes into certain bacteria, fungi or yeasts to make them produce chymosin during fermentation.

With the completion of critical testing, Enterprise was partially disassembled to allow certain components to be reused in other shuttles, then underwent an international tour visiting France, Germany, Italy, the UK, Canada, and the US states of California, Alabama, and Louisiana ( during the 1984 Louisiana World Exposition ).

With the disk drive top removed a small screwdriver could be used to slow the drive RPM below a certain point.

With the modern foundations for a general theory of systems following the World Wars, Ervin Laszlo, in the preface for Bertalanffy's book Perspectives on General System Theory, maintains that the translation of " general system theory " from German into English has " wrought a certain amount of havoc ".

With a triple-extension bellows 4 " × 5 " camera such as the Linhof SuperTechnika V, the photographer can correct certain distortions such as ' keystoning ', where the image ' lines ' converge ( i. e., photographing a building by pointing a typical camera upward to include the top of the building ).

With certain dishes, such as khao kha mu ( pork trotter stewed in soy sauce and served with rice ), whole Thai peppers and raw garlic are served in addition.

With widely varying rendering technologies in use today, pixel-level control is no longer certain in a TrueType font.

With economic progress, therefore, we can everywhere observe the phenomenon of a certain number of goods, especially those that are most easily saleable at a given time and place, becoming, under the powerful influence of custom, acceptable to everyone in trade, and thus capable of being given in exchange for any other commodity.

With respect to phonemic incidence, the pronunciation of certain words has American and / or British influence.

With the exception of a great deal of ornamental cultivation, the economic significance of Magnolias is generally confined to the use of wood from certain timber species and the use of bark and flowers from several species believed to possess medicinal qualities.

With the Allied victory over Germany becoming certain in 1944, the only option to save Estonia's independence was to stave off a new Soviet invasion of Estonia until Germany's capitulation.

With the exception of the Colt and certain models of the Dart, Dodge's lineup was quickly seen as extremely inefficient.

Ingres's pupil Amaury-Duval wrote of him: " With this facility of execution, one has trouble explaining why Ingres ' oeuvre is not still larger, but he scraped out work frequently, never being satisfied ... and perhaps this facility itself made him rework whatever dissatisfied him, certain that he had the power to repair the fault, and quickly, too.

With regard to a prominent mental disorder, Schizophrenia, for a long time consensus among scientists was that certain alleles ( forms of genes ) were responsible for schizophrenia, but some research has indicated only multiple, rare mutations thought to alter neurodevelopmental pathways that can ultimately contribute to schizophrenia ; virtually every rare structural mutation was different in each individual.

With no assumptions have been made regarding the force G acting on the chain, the following analysis can be made.

With it Erasmus challenged common assumptions, painting the clergy as educators who should share the treasury of their knowledge with the laity.

With q as the electronic charge, is the wavelength of interest, h is Planck's constant, c is the speed of light, k is Boltzmann's constant, T is the temperature of the detector, is the zero-bias dynamic resistance area product ( often measured experimentally, but also expressible in noise level assumptions ), is the quantum efficiency of the device, and is the total flux of the source ( often a blackbody ) in photons / sec / cm².

With these assumptions made, two arguments can stem from it:

With the intellectual benefits of having established Europe's first public education system since classical antiquity Scottish thinkers began questioning assumptions previously taken for granted ; and with Scotland's traditional connections to France, then in the throes of the Enlightenment, the Scots began developing a uniquely practical branch of humanism to the extent that Voltaire said, " We look to Scotland for all our ideas of civilization.

With the assumptions of the Black – Scholes model, this second order partial differential equation holds for any type of option as long as its price function is twice differentiable with respect to and once with respect to.

With the following assumptions:

With these assumptions more explicitly stated, the proof becomes:

With sufficiently strong assumptions, it can be specified as the summation of the welfare of all the individuals in the society.

With these assumptions, it is possible to construct a social welfare function simply by summing all the individual utility functions.

With some additional assumptions, the derivative of the continuous intensity function can be computed as a function on the sampled intensity function, i. e. the digital image.

With the rediscovery of the text in first-century Rome ( the play was adapted by the tragedians Ennius, Lucius Accius, Ovid, Seneca the Younger and Hosidius Geta, among others ), again in 16th-century Europe, and in the light of 20th century modern literary criticism, Medea has provoked differing reactions from differing critics and writers who have sought to interpret the reactions of their societies in the light of past generic assumptions ; bringing a fresh interpretation to its universal themes of revenge and justice in an unjust society.

With the exception of machines with short design life, closed recirculating systems require periodic cooling water treatment or replacement raising similar concern about ultimate disposal of cooling water containing chemicals used with environmental safety assumptions of a closed system.

With these two assumptions, i. e., that the PSF is shift-invariant and that there is no distortion, calculating the image plane convolution integral is a straightforward process.

With these assumptions in mind, Synectics believes that people can be better at being creative if they understand how creativity works.

With these assumptions, the concentration of the-th charge species is described

With some simplifying assumptions, this frequency change can be quantified and correlated precisely to the mass change using Sauerbrey's equation.

With aggressive assumptions, one DOE-funded feasibility study of where the technology could go, 1000 MWe Advanced Coal-Fired MHD / Steam Binary Cycle Power Plant Conceptual Design, published in June 1989, showed that a large coal-fired MHD combined cycle plant could attain a HHV energy efficiency approaching 60 percent — well in excess of other coal-fueled technologies, so the potential for low operating costs exists.

With increasing returns to scale it would likely be more efficient for countries to specialize, but specialization is not possible with the Heckscher-Ohlin assumptions.

With sufficiently clever assumptions of this sort, it is often possible to reduce the Einstein field equation to a much simpler system of equations, even a single partial differential equation ( as happens in the case of stationary axisymmetric vacuum solutions, which are characterized by the Ernst equation ) or a system of ordinary differential equations ( as happens in the case of the Schwarzschild vacuum ).

With regard to human beings, the CJPS adaptation sets out to represent the gender implications of the Torah ’ s language as its composer ( s ) counted on the original audience to receive them, given the gender assumptions of that time and place.