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For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.
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 some
For a brief period each year, the rays of the sun are warm enough to melt some of the snows piled a mile deep at the base of the headwalls, and then the pinnacles glisten in the daytime at high noon, and billions of gallons of water begin their slow seepage under the glaciers and across the rockstrewn hanging valleys on their long, meandering journey to the sea -- running east past the sky-carving massifs of Gurla Mandhata and Kemchenjunga, then turning south and curling down through the jungles of Assam, past the Khasi Hills, and into Bengal, past Sirinjani and Madaripur, until the hard water of the melting snows mingles with the soft drainage of fields and at length fans out to meld with the teeming salt depths of the Bay of Bengal.
For Mr. Taylor's Images And Reflections she made some diaphanous tents that alternately hide and reveal the performer, and a girl's cape lined with grass.
For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.
For here if anywhere in contemporary literature is a major effort to counterbalance Existentialism and restore some of its former lustre to the tarnished image of the species Man, or, as Malraux himself puts it, `` to make men conscious of the grandeur they ignore in themselves ''.
For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.
For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.
For some compulsive reason which would have fascinated Dr. Freud, Communists of all shapes and sizes almost invariably impute to others the very motives which they harbor themselves.
For a moment she thought of answering with the truth but she knew there were men who shied away from virginity, who demanded some degree of education in body as well as mind.
For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.
For some time this writer has been suggesting a Junior Judging Class for Intermediates over 16 and under 20 years of age who are ineligible to compete in the Junior Class.
For some unusual photographic subjects, if your vacation takes you nearby, try these events: the 600-mile auto race in Charlotte, N.C.,, on May 27 ; ;
For those who plan to travel to Europe by one route and return by another some agencies offer a service whereby you can pick up a car in one city on arrival and leave it in another city, or even another country, when you are ready to return home.
For vector spaces over non-algebraically closed fields, we still need to find some substitute for characteristic values and vectors.
For some forms of philosophy, this very division between the empirical and the rational becomes a sign of the metaphysical superiority of the latter.
For some white-collar workers it is a welcome change from the regular job, and a physical conditioner.
For larger plantings, you'll need some kind of power for plowing, harrowing, disking, and cultivating.