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For example, the direct sum of the R < sub > i </ sub > form an ideal not contained in any such A, but the axiom of choice gives that it is contained in some maximal ideal which is a fortiori prime.
Some Related Sentences
For and example
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.
For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;
For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:
For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.
For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.
For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.
For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;
For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.
For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.
For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.
For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.
For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.
For and direct
William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.
For example, a criminal defendant may be convicted in state court, and lose on " direct appeal " to higher state appellate courts, and if unsuccessful, mount a " collateral " action such as filing for a writ of habeas corpus in the federal courts.
For hundreds of years this isolated population consisting now of 4. 400 inhabitants, has claimed to be the direct descendant of the Cimbri retreating in this area after the Roman aftermath.
For the first time this placed the Maritime manufacturers in direct competition with those of Central Canada.
For example, as a result of heavy borrowing from Arabic into Persian, Modern Persian in fact takes more of its vocabulary from Arabic than from its direct ancestor, Proto-Indo-Iranian.
For pan-and polytheistic faiths this usually implies the direct action of one god or another on the course of human events.
For example, chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ).
groups ( G, *) and ( H, ●), denoted by G × H. For abelian groups which are written additively, it may also be called the direct sum of two groups, denoted by.
For instance, therapists have used sentences like, “ Who is the boy helping ?” and “ What is the boy fixing ?” because both verbs are transitive-they require two arguments in the form of a subject and a direct object, but not necessarily an indirect object.
For a direct current system the weld rod or stick may be a cathode for a filling type weld or an anode for other welding processes.
For quite some time, he had been planning to direct an epic movie named Megalopolis, a story about the aftermath and reconstruction of New York City after a mega-disaster, but after the city was hit by the real life disaster of September 11, the project was suddenly seen as being too sensitive.
For instance, if a state fatwā council made abortion acceptable in the first trimester without any medical reason, that would have direct impact on official procedures in hospitals and courts in that country.
For example, rather than the West Coast Main Line taking the direct route favoured by Joseph Locke over Shap between Lancaster and Carlisle, Stephenson was in favour of a longer sea-level route via Ulverston and Whitehaven.
For a time, Leclerc met with some success ; he also brought the eastern part of the island of Hispaniola under the direct control of France in accordance with the terms of the 1795 Treaties of Bâle with Spain.
Déjacque wrote that: ‘ By government I understand all delegation, all power outside the people ,’ for which must be substituted, in a process whereby politics is transcended, the ‘ people in direct possession of their sovereignty ,’ or the ‘ organised commune .’ For Déjacque, the communist anarchist utopia would fulfil the function of inciting each proletarian to explore his or her own human potentialities, in addition to correcting the ignorance of the proletarians concerning ‘ social science .’"
( For historical reasons, while there is direct access to the kitchen from the living room by heading northwest, users must head north, east, and then south from the Kitchen to return.
For instance Werner Heisenberg said " The ontology of materialism rested upon the illusion that the kind of existence, the direct ' actuality ' of the world around us, can be extrapolated into the atomic range.
For example, the original Eudora email client featured direct delivery of mail to the recipients ' servers, out of necessity.
For example, telephone systems, fax machines, and social networks all imply direct contact among users.
For the novice, pie menus are easy because they are a self-revealing gestural interface: They show what you can do and direct you how to do it.
For the first few years the shows were recorded live, direct to 16-inch transcription disc, which required the cast to adhere closely to the script, but by Series 4 the BBC had adopted the use of magnetic tape.
For example, porous tantalum coatings are used in the construction of orthopedic implants due to tantalum's ability to form a direct bond to hard tissue.