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example and hypergraph
Consider, for example, the generalized hypergraph whose vertex set is and whose edges are and.
For example, consider the generalized hypergraph consisting of two edges and, and zero vertices, so that and.
A factor graph is an example of a hypergraph, in that an arrow ( i. e., a factor node ) can connect more than one ( normal ) node.

example and with
Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.
Dictionaries, as we have seen, still cite this government, along with the Articles of Confederation of 1781, as an example of a confederacy.
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.
In agriculture, for example, despite the advances in biology, elaborate rituals tend to persist along with a continued sense of the imminence of some natural disaster.
This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.
In the calm which follows the reading of a poem, for example, is the effect produced by the enforced quiet, by the musical quality of words and rhythm, by the sentiments or sense of the poem, by the associations with earlier readings, if it is familiar, by the boost to the self-esteem for the semi-literate, by the diversion of attention, by the sense of security in a legitimized withdrawal, by a kind license for some variety of fantasy life regarded as forbidden, or by half-conscious ideas about the magical power of words??
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.
One example of this was his assertion that `` all servile revolts must be dealt with by physical force ''.
And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.
Many of my friends at the time thought that I had received a well-deserved condemnation when Lincoln Steffens denounced me in a review of one of my books as a perfect example of the obsolete man who could understand and sympathize only with the dead past.
One effect of the spirited give-and-take of these discussions was to focus attention on practical applications and the necessity of being armed with the facts: knowledge of the destructive force of even the tiniest `` tactical '' atomic weapon would have a bearing on judgments as to the advisability of its use -- to defend Berlin, for example ; ;
Another example is the recent cancellation of the F-108, a long-range interceptor with a speed three times as great as the speed of sound, which was designed for use against manned bombers in the period of the mid-1960's.
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.
A good example of the results obtainable with ultrasonic radiation is contained in papers presented by Dr. G. Baum who has explored the human eye.
Forty years ago an English writer, W. L. George, dealt with this subject in Eddies of the Day, and said, as an example, that ' Saint George for Merry England ' would not start a spirit half so quickly as ' Strike frog-eating Frenchmen dead ' ''!!
The following summary, based on Figures 5 and 6, is an example of one way of interpreting the 42 figures constructed from onset ages and completion ages of individual children with respect to the appropriate mean age for each growth center.
As an example of the interpretation of an arrow in the figure which exceeds four months in shaft length in conjunction with its position in the figure: girl 2 had a delayed Onset and further delayed Completion.
In the marksmanship example, a trial consists of `` one round shot at a target '' with outcome either one bull's-eye ( success ) or none ( failure ).
For example, in accordance with the fashion of the times, most transitional societies have announced economic development plans of varying numbers of years ; ;
For example, the level of improvement noted in a recent experiment with a short course of immediate treatment for parent-child relationship problems compared favorably with the results reported by typical child guidance clinics where the hours spent in purely diagnostic study may equal or exceed the number of hours devoted to actual treatment interviews in the experimental project.
Woodward, for example, has emphasized the `` need for a broad spectrum of services, including very brief services in connection with critical situations ''.
For example, child welfare experience abounds with cases in which the parental request for substitute care is precipitated by a crisis event which is meaningfully linked with a fundamental unresolved problem of family relationships.

example and .
A fine example of engineering in a primitive society.
Billy decided to set an example by arresting one of the ranchers, named Ed Dunn, who lived at Rock Fort.
Nevertheless, it may be helpful to cite one example -- that of employment -- for, as will be shown below, it cuts across both facets of the new concept.
The promenade, for example, continues to take place on the Chahar Bagh, a mile-long garden of plane and poplar trees that now serves as the city's principal street.
Incapable of self-delusion, the Founding Fathers found the crisis of their time to be equally grave, and yet they had confidence that America would surmount it and that a republic of free peoples would prosper and serve as an example to a world aching for liberty.
An example of the changes which have crept over the Southern region may be seen in the Southern Negro's quest for a position in the white-dominated society, a problem that has been reflected in regional fiction especially since 1865.
This understanding provides a very simple example of the fact that one can eliminate fear without instituting any controls.
This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.
Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.
Beckett's own work is an example.
The creative urge, for example, transcends the body and the self.
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
His name is Praisegod Piepsam, and he is rather fully described as to his clothing and physiognomy in a way which relates him to a sinister type in the author's repertory -- he is a forerunner of those enigmatic strangers in `` Death In Venice '', for example, who represent some combination of cadaver, exotic, and psychopomp.
It resembles, too, pictures such as Durer and Bruegel did, in which all that looks at first to be solely pictorial proves on inspection to be also literary, the representation of a proverb, for example, or a deadly sin.
It celebrates the unknown architect who designed the temple of Neptune at Paestum, next to the Parthenon the noblest example of Grecian classic style now in existence.
Gustaf Vasa is a superb example, and Charles 10,, the conqueror of Denmark, hardly less so.
Dashiell Hammett's Red Harvest provides a classic example of this theme.
In the extreme and oversimplified example suggested in Figure 3, the organization is more easily understood and more predictable in behavior.
The assumptions upon which the example shown in Figure 3 is based are: ( A ) One man can direct about six subordinates if the subordinates are chosen carefully so that they do not need too much personal coaching, indoctrinating, etc..
He and also Mr. Cowley and Mr. Warren have fallen to the temptation which besets many of us to read into our authors -- Nathaniel Hawthorne, for example, and Herman Melville -- protests against modernism, material progress, and science which are genuine protests of our own but may not have been theirs.

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