So in a sense, functors between arbitrary categories are a kind of generalization of monoid homomorphisms to categories with more than one object.

* Misleading vividness is a kind of hasty generalization that appeals to the senses.

This rhetoric permits a kind of hasty generalization when an inductive generalization is a necessary premise and a single ( albeit vivid ) example is not sufficient to support such a generalization.

An abstract algebraic variety is a particular kind of scheme ; the generalization to schemes on the geometric side enables an extension of the correspondence described above to a wider class of rings.

This is a generalization of the Euler – Lagrange equation: indeed, the functional derivative was introduced in physics within the derivation of the Lagrange equation of the second kind from the principle of least action in Lagrangian mechanics ( 18th century ).

In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R. One can view it as a multivariate, non-linear generalization of:

This can be viewed as a kind of generalization of the Artin-Wedderburn theorem's conclusion about the structure of simple Artinian rings.

This generalization leads to a new kind of algorithm called survey propagation ( SP ), which have proved to be very efficient in NP-complete problems like satisfiability

* CW complex, or closure-finite weak complex, a kind of topological space, a generalization of the simplicial complex

Later on, Guido Stampacchia proved his generalization to the Lax – Milgram theorem in in order to study the regularity problem for partial differential equations and coined the name " variational inequality " for all the problems involving inequalities of this kind.

* strong relation between contents of signs and “ literal ” similarity of concepts ( e. g. with generalization of meaning, e. g. Christmas tree for any kind of fir tree or even any kind of conifer )

Both Spencer and Comte view the society as a kind of organism subject to the process of growth-from simplicity to complexity, from chaos to order, from generalization to specialization, from flexibility to organization.

The ØMQ message queueing library provides a so-called sockets ( a kind of generalization over the traditional IP and Unix sockets ) which require to indicate a messaging pattern to be used, and are particularly optimized for that kind of patterns.

Finally, the relative frequency of straights versus three of a kind is also sensitive to the deck composition ( and to the number of cards dealt ), so some places may consider three of a kind to be superior to a straight, but the difference is small enough that this complication is not necessary for most games.

Incorporating SCM successfully leads to a new kind of competition on the global market where competition is no longer of the company versus company form but rather takes on a supply chain versus supply chain form.

Because there were so many kinds of coins ( versus the one kind that Han used ), people became unable to recognize the kinds of coins as genuine or as counterfeit, and the money-based economy came to a halt.

The distinctions between the kind of beneficiaries nurtured ( collateral versus descendant relatives ) and the kind of fitnesses used ( inclusive versus personal ) in our parsing of nature are orthogonal concepts.

The movements were strongly associated with mysticism, and the thread connecting them was the concept of gnosis, which refers to an intimately personal kind of knowledge ( as in the Spanish conocer rather than saber or German kennen versus wissen ).

The key difference between this kind of maneuver and powered trans-planetary orbit insertion is the significantly lesser change in velocity required to raise or circularize an existing planetary orbit, versus canceling out the considerable velocity of interplanetary cruise.

Through rotation, people took part in every kind of work, but it interfered with any process of specialization.

The low-residency MFA in creative writing was named among the top five programs in the nation by The Atlantic, and the graduate clinical psychology specialization in LGBT studies is the first of its kind.

Lee Sung-joo proposed that, in addition to the development of regional political hierarchies as seen through analysis of burials, variation in types of pottery production gradually disappeared and full-time specialization was the only recognizable kind of pottery production from the end of the 4th century A. D. At the same time the production centres for pottery became highly centralized and vessels became standardized.

” First by major process ... by bringing together in a single office a large amount of each kind of work ( technologically measured ), makes it possible in the most effective divisions of work and specialization.

Graduates of this kind of school also have the opportunity to cross over into certain branches of the AHS track at the age of fourteen or to attend a series of different “ higher vocational-technical schools ” ( Berufsbildende Höhere Schulen and Höhere Technische Lehranstalten ), which have five-year programs of specialization in various branches of technology ( HTL

This specialization is currently the only one of its kind in Canada ; while many universities now offer programs in bioinformatics and computational biology, no other university offers an undergraduate degree that encompasses medical informatics, imaging, and other applications of computers to medicine ( e. g., drug discovery ).

I suppose the reason is a kind of wishful thinking: don't talk about the final stages of Reconstruction and they will take care of themselves.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Presupposed in Plato's system is a doctrine of levels of insight, in which a certain kind of detached understanding is alone capable of penetrating to the most sublime wisdom.

And ( D ) all action of a physical kind pertinent to the mission is relegated to the line of men on the lower rank.

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.

At the national and international level, then, what is the highest kind of morality for the private citizen represents an instance of political immorality.

Seemingly, order is perceived as a kind of subsistent entity now covered by adventitious accretions.

Mann understood better than most men the incest comedy at the center of the myth and the psychological truth in which dread is shown as the other face as longing was for him just the kind of deep and complicated joke he liked to tell.

There is another kind of ardor, a quiet, sure devotion to the fundamental decencies of human life, but no angry utopian contentions.

This is the good kind of sophistication, and with all our problems and crises this kind of sophistication has flowered in the United States during recent years.

Under this kind of pressure, it is not surprising that Wright would make sweeping statements to the newspapers.

The immediate need for this kind of co-operation is underscored by the strain in this nation's international balance of payments.

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.

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??

What I want is to have this evidence come before Congress and if the Attorney General does not report it, as I am very sure he won't, as he has refused to do anything of the kind, I then wish that a committee of seven Representatives be appointed with power to take the evidence.

What is not so well known, however, and what is quite important for understanding the issues of this early quarrel, is the kind of attack on literature that Sidney was answering.

The entire exercise, Latin and English, is most suggestive of the kind of person Milton had become at Christ's during his undergraduate career ; ;

Considering then the optimism which has permeated science fiction for so long, what is really remarkable is that during the last twelve years many science-fiction writers have turned about and attacked their own cherished vision of the future, have attacked the Childhood's End kind of faith that science and technology will inevitably better the human condition.