More than 2000 communes, factories, and other enterprises organized such units, which would fight in their home areas, maintaining local defense production essential to the overall war effort.

More than a million tons of the best grade ore found in the entire mine was discovered directly below the pump, so it was essential that it be moved for excavation.

More important to him than prayer was a friendly relationship with sinners ; though the former constituted an essential factor in the religious life.

More than just the abstract description of G, it is essential for the purposes of number theory to understand how prime ideals decompose in the abelian extensions.

More broadly, it connotes a putative essential Englishness with nostalgic overtones, incorporating such cultural symbols as the thatched cottage, the country inn, the cup of tea and Sunday roast.

More recently, some scholars have argued that Whig history is essential to the history of science.

More than a decade after they were first introduced, ROVs became essential in the 1980s when much of the new offshore development exceeded the reach of human divers.

More elaborate configurations would include leg loops, which were essential to hold a climber who had fallen or otherwise found themselves dangling.

More behavioral research to select the best candidates and prepare them for the very different challenges that await them in nature will be essential also.

More advanced examples usually include more sophisticated tools, including Gröbner basis packages for manipulating ideals in polynomial rings, which is essential for many advanced real-world applications involving differential equations, robotics, and so forth, as well as packages for working at a high level with vectors and tensors.

More important in the eyes of Copeau, a school of dramatic arts remained essential if he was to realize the renewal of the theatre that had been his dream for over a decade.

More than 5 years of managerial / professional experience post bachelor's degree is essential to apply in PGPEX.

More than a pastime, it was an important arena for social interaction, essential training for war, and a privilege and measurement of nobility.

More information on known patents of the defunct licensing programme's patent holders, claimed to be essential, is provided on the new TV-Anytime website now officially hosted by EBU.

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 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 common are antigens that are presented by tumor cells and normal cells, and they are called tumor-associated antigens ( TAAs ).

More primitive models hold quite a few people in exchange for producing considerable pollution, but later models are denser and cleaner.

More explicitly, it is stating that for every indexed family of nonempty sets there exists an indexed family of elements such that for every.

More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:

More formally a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements the number of k-combinations is equal to the binomial coefficient

More complex computations may involve many operations and data elements together.

More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

More precisely, it returns a new list whose elements are in reverse order compared to the given list.

Rock bands of the 1980s and 1990s including Faith No More, Red Hot Chili Peppers, Jane's Addiction, Tool, Alice in Chains and Rage Against the Machine have been identified as laying groundwork for the development of nu metal by popularising elements of the genre, such as combining aggressive riffs with pop structures and drawing influence from a variety of genres within and outside of heavy metal.

More recently, a number of designs of drives and gearboxes have emerged that use nutating elements to provide very large reduction ratios in a compact unit.

More advanced implementations may support more complicated operations, such as pull_lowest_priority_element, inspecting the first few highest-or lowest-priority elements ( peeking at the highest priority element can be made O ( 1 ) time in nearly all implementations ), clearing the queue, clearing subsets of the queue, performing a batch insert, merging two or more queues into one, incrementing priority of any element, etc.

Rap rock fusion proved to be influential among rock artists, with ' 80s bands like Faith No More, Anthrax ( whose collaboration with Public Enemy on " Bring the Noise " was directly influenced by " Walk This Way ") and the Red Hot Chili Peppers adding elements of rap to alternative rock and heavy metal.

More specifically, instead of representing spinors as complex-valued 2D column vectors as Pauli had done, they represented them as complex-valued 2 × 2 matrices in which only the elements of the left column are non-zero.

More recently, such observations provided evidence that elements were being formed by neutron capture in the s-process.

More importantly, the movie depicts one of the battle's most decisive elements, the arrival of the Prussian army, rather superficially as they arrive to win the battle in short order: distant columns of Prussians are observed by the general staff of both armies, arriving on the battlefield at the very end of the day to change the outcome with a single blow.

More information about the topology can be exchanged using opaque LSA carrying type-length-value elements.

* More generally, the kernel in algebra is the set of elements that map to the neutral element.

More traditional elements of political authority — such as Sufi networks, royal lineage, clan strength, age-based wisdom, and the like — still exist and play a role in Afghan society.

More historically important elements are kept as pieces of cultural interest in different parts of Spain.

More generally, if S is a subset of a group G, then < S >, the subgroup generated by S, is the smallest subgroup of G containing every element of S, meaning the intersection over all subgroups containing the elements of S ; equivalently, < S > is the subgroup of all elements of G that can be expressed as the finite product of elements in S and their inverses.

More detailed discussion of wave functions as elements of vector spaces is below, following further definitions.

More of a straight ahead death metal effort with symphonic elements, the demo attracted the attention of Cacophonous Records, who signed the band to a three album deal.

More generally in n-dimensional geometric algebra pseudovectors are the elements of the algebra with dimension, written Λ < sup > n − 1 </ sup > R < sup > n </ sup >.

More rigid curtains could be snapped in place to protect passengers from the elements outside.