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More and rigorously
More rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,
More rigorously, if a surface S is a union of finitely many pieces S < sub > 1 </ sub >, …, S < sub > r </ sub > which do not overlap except at their boundaries then
More rigorously, an interpretation of quantum mechanics satisfies CFD if it includes in the statistical population of measurement results, those measurements which are counterfactual by virtue of their being excluded by the quantum mechanical prohibition on simultaneous measurement of certain pairs of properties.
More rigorously, it is the localization of the polynomial ring in the multiplicative set consisting of the non-negative powers of X.
More rigorously, metonymy and synecdoche may be considered as sub-species of metaphor, intending metaphor as a type of conceptual substitution ( as Quintilian does in Institutio oratoria Book VIII ).
More rigorously, since the phases are in thermodynamic equilibrium with each other, the chemical potentials of the phases must be equal.
More rigorously, the mathematical operation involved in classical limits is a group contraction, approximating physical systems where the relevant action is much larger than Planck's constant ħ, so the " deformation parameter " ħ / S can be effectively taken to be zero.
More rigorously, any summation method that possesses these properties and which assigns a finite value to the geometric series must assign this value.
More serious consultation with a range of internationally adopted people from various professional and community-work based backgrounds needs to be included before the field of adoption study is more truly representative and rigorously informed.
More rigorously the effective temperature corresponds to the temperature at the radius that is defined by the Rosseland optical depth.
The minimal separators also form an algebraic structure: For two fixed vertices a and b of a given graph G, an ( a, b )- separator S can be regarded as a predecessor of another ( a, b )- separator T, if every path from a to b meets S before it meets T. More rigorously, the predecessor relation is defined as follows: Let S and T be two ( a, b )- separators in ' G '.
More rigorously
More rigorously, Pickover's " biomorphs " encompass the class of organismic morphologies created by small changes to traditional convergence tests in the field of " Julia set " theory.

More and they
More of an agricultural nation, they have relied on their warriors only for defense and for survival in the endless wars of the plains.
More potent a charm to bring back that time of life than this record of a few pictures and a few remembered facts would be a catalogue of the minutiae which are of the very stuff of the mind, intrinsic, because they were known in the beginning not by the eye alone but by the hand that held them.
More importantly, several of the more advanced of the less developed countries have found through experience that they must plan their own complex investment programs for at least 5 years forward and tentatively for considerably more than that if they are to be sure that the various interdependent activities involved are all to take place in the proper sequence.
More than 20 million people live on farms and they own a fourth of the nation's trucks, buy more gasoline than any other industry and provide a major market for home appliances, chemicals and other products.
More common are antigens that are presented by tumor cells and normal cells, and they are called tumor-associated antigens ( TAAs ).
More basically, they allow guilty defendants to avoid accepting responsibility for their wrongs.
More generally, one curve is a curvilinear asymptote of another ( as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes.
More controversially, officials of the Federal Reserve assisted in the negotiations that led to this bail-out, on the grounds that so many companies and deals were intertwined with LTCM that if LTCM actually failed, they would as well, causing a collapse in confidence in the economic system.
More likely, they marched until they reached the limit of the archers ' effectiveness, the " beaten zone " ( roughly 200 meters ), and then broke into a run towards their enemy.
More than one-third of them died or left the service before they were disbanded along with the rest of the RIC in 1922, an extremely high wastage rate, and well over half received government pensions.
More broadly speaking, Chinese classic texts may refer to texts, be they written in vernacular Chinese or in classical Chinese, that existed before 1912, when the last imperial Chinese dynasty, the Qing Dynasty, fell.
More exactly, they are long thin streamers that project outward from the Sun's north and south poles.
More generally, the ELIZA effect describes any situation where, based solely on a system's output, users perceive computer systems as having " intrinsic qualities and abilities which the software controlling the ( output ) cannot possibly achieve " or " assume that reflect a greater causality than they actually do.
Business Week described the scene: More than 30, 000 persons daily, the show ’ s capacity, inch along the sizzling pavement in long queues until they reach the chairs which transport them to a tourist ’ s paradise.
More formally, case has been defined as " a system of marking dependent nouns for the type of relationship they bear to their heads.
More recent theories view the nomadic confederacies, such as the Huns, as the formation of several different cultural, political and linguistic entities that could dissolve as quickly as they formed, entailing a process of ethnogenesis.
More importantly, they play a key role in non-verbal communication.
More powerful 486 iterations such as the OverDrive and DX4 were less popular ( the latter available as an OEM part only ), as they came out after Intel had released the next generation P5 Pentium processor family.
More than half the respondents to a 1994 survey of health issues in lesbians reported they had suicidal thoughts, and 18 % had attempted suicide.
More substantive basis for this designation is that the vocabulary, grammar, and orthography of Interlingua are natural ; they have been standardized and presented by a linguistic research body, but they predated it and are not themselves considered a product of human invention.
Inspired by a visit to Japan, Black & More ( Coldcut ) primarily created Ninja Tune in 1990 to act as a vehicle by which they could release music of a more underground nature, free from the restraints placed on artists by major labels ( the same restraints that were put on them via their brief stints with Arista and Big Life ).
More than likely chocolate, vanilla and strawberry became the standard for the reason that they were the most popular flavors in the United States at the time of introduction.

More and are
More than 36 other big Navy ships are no less than a day's sailing time away.
More often, these offices are restricted to the gathering of empirical data.
we are concerned with Utopian communism -- that is, simply communism as it appears in the imaginary commonwealth of Utopia, as More conceived it.
If, at any time during the assignment pass, the compiler finds that there are no more index words available for assignment, the warning message `` No More Index Words Available '' will be placed in the object program listing, the table will be altered to show that index words 1 through 96 are available, and the assignment will continue as before.
If the compiler finds that there are no more electronic switches available for assignment, the warning message `` No More Electronic Switches Available '' will be placed in the object program listing, the table will be altered to show that electronic switches 1 through 30 are available, and assignment will continue as before.
More than half of the sorghum and barley seeds we produce and most of the byproducts of the milling of cereals and the crushing of oilseeds are fed to livestock.
More than 200 million tons of seeds and seed products are fed to livestock annually in the United States.
More than 500 juniors and seniors are taking part in the program and 100 firms offer jobs on an educational rather than a need basis.
More than 200 are expected at the autumn event which is matched in the spring.
More than 300 teenagers last Sunday proved there is and as many more are expected to prove it again for Jim Kern and his wife Lynn from 4 to 8 p.m. Sunday at First Presbyterian Church.
More and more boats move overland on wheels ( 1.8 million trailers are now in use ) and Midwesterners taking long weekends can travel south with their craft.
More modern classifications are based upon cladistics.
More problematic are words whose senses express closely related concepts.
More advanced methods of locating objects in the sky include telescope mounts with setting circles, which assist with pointing telescopes to positions in the sky that are known to contain objects of interest, and GOTO telescopes, which are fully automated telescopes that are capable of locating objects on demand ( having first been calibrated ).
More primitive models hold quite a few people in exchange for producing considerable pollution, but later models are denser and cleaner.

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