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consists and torus
For example, under certain assumptions, there is a way of modifying a smooth 4-manifold by performing a surgery that consists of removing a neighborhood of a two-dimensional torus and replacing it with a knot complement crossed with S < sup > 1 </ sup >.
Essentially the stellarator consists of a torus that has been cut in half and then attached back together with straight " crossover " sections to form a figure-8.

consists and ring
It consists of a central shank with a ring or shackle for attaching the rode.
* If we think of as the ring of real numbers, then the direct product again consists of.
Galileo furthermore discovered that Jupiter's faint ring system consists of dust from impacts on the four small inner moons.
A heme group consists of an iron ( Fe ) ion ( charged atom ) held in a heterocyclic ring, known as a porphyrin.
This porphyrin ring consists of four pyrrole molecules cyclically linked together ( by methene bridges ) with the iron ion bound in the center .< ref >" Hemoglobin.
It consists of a piece of leather with a ring on each end through which each rein runs.
The molecule can change between these two forms by a process called mutarotation, that consists in a reversal of the ring-forming reaction followed by another ring formation.
The plasma population of the ring current may now grow substantially, and a notable part of the addition consists of O + oxygen ions extracted from the ionosphere as a by-product of the polar aurora.
The 19S particle in eukaryotes consists of 19 individual proteins and is divisible into two subassemblies, a 10-protein base that binds directly to the α ring of the 20S core particle, and a 9-protein lid where polyubiquitin is bound.
The 20S particle is assembled from two half-proteasomes, each of which consists of a seven-membered pro-β ring attached to a seven-membered α ring.
The ring swirling around Saturn ( planet ) | Saturn consists of chunks of ice and dust.
* Jacobson radical, the Jacobson radical of a ring, R, consists of those elements in R that annihilate all simple right R-modules
The structure of black selenium is irregular and complex and consists of polymeric rings with up to 1000 atoms per ring.
It consists of an artistic representation of a young person's head ( 1. 37m high ), flattened on top, in the corner of a square pond, and, just above the water, a ring of rosehip thorn ( with a single rosehip bud attached to it ).
The Necklace Nebula consists of a bright ring, measuring about two light-years across, dotted with dense, bright knots of gas that resemble diamonds in a necklace.
* A Star ring network consists of two or more star topologies connected using a multistation access unit ( MAU ) as a centralized hub.
The nervous system consists of a nerve ring ( the cerebral ganglion ) around the oesophagus, which functions as a brain, and a single ventral nerve cord that runs the length of the body.
This usually consists of a central ring and five radial vessels, although there is no true heart, and the blood often lacks any respiratory pigment.
The nervous system consists of a nerve ring near the anterior end of the animal, and a ventral nerve cord running along the body.
The fluxmeter element consists of a ring of several thermocouples in series.
In mathematics, a Boolean ring R is a ring for which x < sup > 2 </ sup > = x for all x in R ; that is, R consists only of idempotent elements.
In mathematics, more specifically ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal which consists of those elements in R which annihilate all simple right R-modules.

consists and is
It consists of fragmentary personal revelations, such as `` The Spark '': `` There is a spark dwells deep within my soul.
Krim's typicality consists only in his New Yorker's view that New York is the world ; ;
The unit consists of a small motor that goes on as soon as it is plugged in.
It would challenge sharply not the cult of the motor car itself but some of its ancillary beliefs and practices -- for instance, the doctrine that the fulfillment of life consists in proceeding from hither to yon, not for any advantage to be gained by arrival but merely to avoid the cardinal sin of stasis, or, as it is generally termed, staying put.
The drill press consists of a vertical shaft ( spindle ) which is tapered or threaded on one end to hold a drill chuck, a tubular housing ( quill ) in which the spindle is mounted, a head in which the quill is mounted, a feed lever which moves the quill up or down, a power source, and a movable table upon which the work is placed.
We now observe that the case in which **zg is a Af curve on a quadric is impossible if the complex of singular lines consists exclusively of the lines which meet Aj.
Continuing with the case in which **zg is a Af curve on a quadric Q, we first observe that the second regulus of Q consists precisely of the lines which join the two free intersections of **zg and the planes through any one of the multiple secants.
The resident staff is large and consists of professional assistants, graduate students, abstractors, librarian, technical editor, machine operators, secretarial help, and others.
The instrument is shown in Fig. 1 and consists essentially of a hard, sharp, tungsten carbide knife which is pushed along the substrate to remove the coating.
Rational egoism is the view that rationality consists in acting in one's self-interest ( without specifying how this affects one's moral obligations ).
Polykleitos in his Canon wrote that beauty consists in the proportion not of the elements ( materials ), but of the parts, that is the interrelation of parts with one another and with the whole.
The order Caudata ( from the Latin cauda meaning " tail ") consists of the salamanders, elongated, low-slung animals that mostly resemble lizards in form, though this is a symplesiomorphic trait and the two groups are no more closely related than salamanders are to mammals.
An alkyl group, generally abbreviated with the symbol R, is a functional group or side-chain that, like an alkane, consists solely of single-bonded carbon and hydrogen atoms, for example a methyl or ethyl group.
( The Hawaiian alphabet is sometimes claimed to be as small, but it actually consists of 18 letters, including the ʻokina and five long vowels.
The assumption that Altaic is a valid family, but only consists of Japonic, Korean and Tungusic, appears to be restricted to Unger ( 1990 ).
The atom is a basic unit of matter that consists of a dense central nucleus surrounded by a cloud of negatively charged electrons.
Dysarthria, an impairment with articulation, may also be present and is characterized by " scanning " speech that consists of slower rate, irregular rhythm and variable volume.
On the rim of the mountains, on the plateaus and the plains the economy consists of manufacturing and service jobs whereas in the higher altitudes and in the mountains farming is still an essential to the economy.
** Flotilla-the flotilla is the operational part of the Coast Guard, and consists of 3 vessels.
* Market analysis – consists of suppliers and customers, and price is determined by the interaction of supply and demand

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