He was referring not only to the general college situation but more especially to the preparatory schools.

Such a list must naturally be selective, and the treatment of each man is brief, for I am interested only in their general ideas on the moral measure of literature.

Without really changing the general subject, I take this opportunity to confess that I am troubled by doubts, not only about pacifism, but also when asked to join in the protest against a law that most of those who consider themselves humane and liberal seem to regard as obviously barbarous ; ;

While there should be no general age limit or restriction to one sex, there will be particular projects requiring special maturity and some open only to men or to women.

He made many tasteless, irreverent and unfunny remarks, not only about me in the title role, but about religion in general.

The only effect of lack of a center would then be to release the hydrogen atoms to occupy general, rather than special, positions along the ( 111 ) axis.

All of them felt a compelling need for more coverage on areas that could be only lightly touched upon in a general survey functional course.

This can only be for one of two reasons: either the two are quite different and will require totally different theory ( and hence techniques ), or our existing theories are insufficiently general.

Most others have been content to give only the most general attention to the broadest and most obvious features of the phonology when designing orthographies.

What we have seen in this chapter, we have seen only dimly, and yet the results, however general, are worth the search.

If they opted for illusion, it could only be illusion per se -- an illusion of depth, and of relief, so general and abstracted as to exclude the representation of individual objects.

It follows, then, provided the possibilities have been exhausted, that the only real alternative is the general viewpoint of the `` left '', which has been represented on the Continent by Fritz Buri and, to some extent at least, is found in much that is significant in American and English theology.

being intellectually influenced by Newman and the general 19th-century literature of England, I knew only a Protestant-dominated country.

But the continuing charm of the other children -- Sally in 1940 and Jack in 1944 -- and all John's success at his work only made Edythe's dizziness and general uselessness more glaring.

The exact number and placement of Endosymbiotic theory | endosymbiotic events is currently unknown, so this diagram can be taken only as a general guide It represents the most parsimonious way of explaining the three types of endosymbiotic origins of plastids.

Some jurisdictions have specialized appellate courts, such as the Texas Court of Criminal Appeals, which only hears appeals raised in criminal cases, and the United States Court of Appeals for the Federal Circuit, which has general jurisdiction but derives most of its caseload from patent cases, on the other hand, and appeals from the Court of Federal Claims on the other.

For biologists, this includes human beings, although for the general public the term " animal " means only non-human animals.

But Minsky shows ( as do Melzak and Lambek ) that his machine is Turing complete with only four general types of instructions: conditional GOTO, unconditional GOTO, assignment / replacement / substitution, and HALT.

In British English, according to Hart's Rules, the general rule is that abbreviations ( in the narrow sense that includes only words with the ending, and not the middle, dropped ) terminate with a full stop ( period ), whereas contractions ( in the sense of words missing a middle part ) do not.

However, in general, the books only feature mental battles when there is some reason for mind-to-mind contact ( for example, Trump contact ) and magic or Trump is involved in all three of the above conflicts, so it is not clear whether Zelazny intended his characters to have such a power ; the combination of Brand's " living trump " powers and his high Psyche ( as presented in the roleplaying game ) would have guaranteed him victory over Corwin.

In general, the International System of Units only uses capital letters for the symbols of units which are named after individual scientists, while au or a. u.

Agesilaus, the former passive lover of Lysander, would have nothing of this, and reminded Lysander ( who was only a Spartan general ) who was king.

The destruction of the whole Theban army is said to only have been averted by the ability of Epaminondas, who was serving in the campaign, but not as general.

Their only child, Robert Fleming, became a general medical practitioner.

Though respected for their contributions to various academic disciplines ( respectively mathematics, linguistics, and literature ), the three men became known to the general public only by making often-controversial and disputed pronouncements on politics and public policy that would not be regarded as noteworthy if offered by a medical doctor or skilled tradesman.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In general topological spaces, however, the different notions of compactness are not equivalent, and the most useful notion of compactness — originally called bicompactness — involves families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

Some branches of mathematics such as algebraic geometry, typically influenced by the French school of Bourbaki, use the term quasi-compact for the general notion, and reserve the term compact for topological spaces that are both Hausdorff and quasi-compact.

There are a number of topological properties which are equivalent to compactness in metric spaces, but are inequivalent in general topological spaces.

A topological map is a very general type of map, the kind you might sketch on a napkin.

Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

* Non-compact topological groups — The class of non-compact groups is too broad to construct any general representation theory, but specific special cases have been studied, sometimes using ad hoc techniques.

Lie groups are smooth manifolds and, therefore, can be studied using differential calculus, in contrast with the case of more general topological groups.

Instead one needs to define Lie groups modeled on more general locally convex topological vector spaces.

An attempt to extend Phillips's topological classification to more general unicursal labyrinths.

In particular, the following two conditions are not equivalent in general for a map f between topological spaces X and Y:

The difficulty encountered when attempting to prove that condition 2 implies condition 1 lies in the fact that topological spaces are, in general, not first-countable.

The same arguments establish a more general result: suppose that a Hausdorff topological space X contains a dense subset of cardinality.

By comparison, in a general topological space, given sets A, B it is meaningful to say that a point x is arbitrarily close to A ( i. e., in the closure of A ), or perhaps that A is a smaller neighborhood of x than B, but notions of closeness of points and relative closeness are not described well by topological structure alone.

In general, any topological space that is homeomorphic to the 3-sphere is called a topological 3-sphere.

More generally, for points in any dimension in general position, each facet of the convex hull is either oriented upwards ( separating the hull from points directly above it ) or downwards ; the union of the upward-facing facets forms a topological disk, the upper hull, and similarly the union of the downward-facing facets forms the lower hull.

For instance, the general linear group GL ( n, R ) of all invertible n-by-n matrices with real entries can be viewed as a topological group with the topology defined by viewing GL ( n, R ) as a subset of Euclidean space R < sup > n × n </ sup >.

The word bounded makes no sense in a general topological space, without a metric.

As well as the discrete metric there are more general discrete or finite metric spaces and finite topological spaces.

In the mathematical discipline of general topology, Stone – Čech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX.

For general topological spaces X, the map from X to βX need not be injective.