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Many and pairs
Many of the above concepts, especially equivalence of categories, adjoint functor pairs, and functor categories, can be situated into the context of higher-dimensional categories.
Many questions around prime numbers remain open, such as Goldbach's conjecture, which asserts that every even integer greater than 2 can be expressed as the sum of two primes, and the twin prime conjecture, which says that there are infinitely many pairs of primes whose difference is 2.
Many of the pairs are to or from English or French.
Many of the doubles teams were of mixed nationality, including all three medalist pairs.
Many procellariids have breeding populations of over several million pairs ; others number fewer than 200 birds.
Many episodes in the first seven series featured either Chisholm and Jones or Rycott and Mellish, and the two pairs sometimes appeared together, emphasizing the professional rivalry between them, much to the annoyance of their superior officer, Detective ( Chief ) Inspector Norton ( Tony Caunter ).
Many scholars support the democratic peace on probabilistic grounds: since many wars have been fought since democracies first arose, we might expect a proportionate number of wars to have occurred between democracies, if democracies fought each other as freely as other pairs of states ; but the number is much less than might be expected.
Many themes of Dumézil's work have continued influence in ancient religious studies: for example, his impulse to comparative study, and his basic insight that polytheistic gods must be studied not simply by themselves, but in the pairs and ensembles in which their worshippers grouped them.
Many category-theoretic notions come in pairs in the sense that they correspond to each other while considering the opposite category.
Many species form monogamous pairs, while some are solitary in nature ( e. g., ocean whitefish, Caulolatilus princeps ), and others colonial.
Many railroads used pairs of these sets back to back to make up a four-unit A-B-B-A locomotive rated at.
Many of her works also feature pairs ; Scott's experience as a twin is essential to her work.
Many such field / probe pairs are used to make up a memory device.
Many systems with KT transitions involve the dissociation of bound anti-parallel vortex pairs, called vortex – antivortex pairs, into unbound vortices rather than vortex generation.
Many animals that form pairs to mate and raise offspring regularly engage in sexual activities with extra-pair partners .< ref >
Many bird breeders list themselves as " aviaries ", since most bird pairs breed best in aviaries in contrast to breeding cages.
Many popular archivers like PKZip, ARJ, RAR, ZOO, LHarc use LZSS rather than LZ77 as the primary compression algorithm ; the encoding of literal characters and of length-distance pairs varies, with the most common option being Huffman coding.
Many ( and possibly all ) pairs of integers satisfying these conditions are the Chern numbers for some complex surface of general type.

Many and liquids
Many molecular liquids can be supercooled into a glass ; some are excellent glass formers that normally do not crystallize.
Many species have further developed the mouthparts into a lengthy proboscis, with which they can drink liquids, such as nectar.
Many novices have mistaken humid water marks on paper for white spore prints, or discolored paper from oozing liquids on lamella edges for colored spored prints.
Many ordinary liquids, like alcohol or petroleum, creep up solid walls, driven by their surface tension.
Many other scientists experimented with various liquids and designs of thermometer.
Many genera have a highly developed brush-tipped tongue, longer in some species than others, frayed and fringed with bristles which soak up liquids readily.
Many nozzles produce a very fine spray of liquids.
Many liquids and aqueous solutions are highly transparent.
Many drums are used to ship and store powdered products as well as liquids, such as plastic beads for injection moulding, extrusion, and purified industrial grade powders like cleansers ( e. g., fertilizers, and powdered aluminum ).
Many substances normally stored as liquids, such as CO < sub > 2 </ sub >, oxygen, and other similar industrial gasses have boiling temperatures, at atmospheric pressure, far below room temperature.
Many Sleeman brands are distributed in clear bottles, which are less expensive and give them a distinctive look, but can result in the liquids becoming more susceptible to light damage.
Many variants exist due to the wide variety of liquids and gases transported.
Many villagers must endure temperatures that can be up to 15 degrees hotter as a result of the flare or are even in danger of sustaining severe burns because of flaming liquids which sometimes are ejected together with the gas and rain back to earth.
Many of his companies were petroleum-related with interests in the exploration and production of natural gas and transportation and extraction of natural gas and natural gas liquids.
Many elements and some compounds change from solids to liquids and from liquids to gases when heated and the reverse when cooled.
Many batters are made by combining dry flours with liquids such as water, milk or eggs ; batters can also be made by soaking grains in water and grinding them wet.

Many and are
Many of them, moreover, are beginning to complain about the scarcity of Western amusements and to ridicule the old life of the bazaar merchant, the mullah, and the peasant.
Many selections are themselves convincing contributions to this appraisal.
Many of our very best friends are reformers.
Many home-bound subway riders utilizing the Flushing-Main Street express are daily confronted with the sight of the local departing from the Woodside station as their express comes to a stop, leaving them stranded and strained.
Many belly dancers are married, but Serene is one of the few who will admit it.
Many of these experiences are so important that they will be cherished forever by me.
Many hours are given free by the Jaycees to make this and all local pageants outstanding events.
Many adults showing at Westminster today are products of this Class.
Many cells, bacteria, and other microorganisms are transparent to visible light and must be stained for microscopic investigation.
Many of the cells and microorganisms which are transparent to visible light, absorb or reflect the much shorter wavelengths of the ultraviolet spectrum.
Many industry trade associations are developing campaigns to protect or enhance the share of the consumer's dollar being spent on their particular products.
Many food and beverage companies are already on a highly planned basis.
Many other ( probably nearly all ) snakes at maturity are already more than half their final length.
Many of the new appointees are art collectors.
Many years later ( on August 3, 1915 ), Lucy Upton wrote Winslow's daughter soon to be graduated from Smith College: `` While I love botany which, after dabbling in for years, I studied according to the methods of that day exactly forty years ago in a summer school, it must be fascinating to take up zoology in the way you are doing.
Many of the features of the homes are the latest modern devices in American homes, but an interesting blend of cultures finds us using Japanese artfulness in our own Western architecture at the same time that the Japanese are adopting Western utility patterns.
Many legislators are already weary and frustrated over the so-far losing battle to block token integration.
Many of the toll-road bonds still are selling at prices that offer the prospect of an annual yield of 4 per cent, or very close to that.
Many others are attracting the traffic needed to push revenues up to the break-even point.
Many of the coal seams in the nationalized British mines are twisting, narrow and very deep.
Many English Catholics are proud of their Catholicism and know that they are in a new ascendancy.
Many of you are familiar, I'm sure, with the story of my early struggles: the fire in January, 1947, that destroyed everything -- even our precious list of subscribers.
Many caecilians and some other amphibians lay their eggs on land, and the newly hatched larvae wriggle or are transported to water bodies.

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