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 ; ;

The spaciousness of the Tudor cooking areas, for example, will provide needed space for the extra television sets required by modern butlers, cooks and maids.

Marco Polo's systematic observations of nature, anthropology, and geography are another example of studying human variation across space.

The arithmetic mean of a variable is often denoted by a bar, for example ( read " x bar ") would be the mean of some sample space.

For example, consider the sample space

In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.

Exile ( 1988 video game ) | Exile is an example of a game where the developers left non-graphical data visible in the display buffer to gain additional memory space.

Animals can respond to extreme heat, for example, through natural heat acclimation or by burrowing into the ground to find a cooler space.

This accompanied or facilitated other important evolutionary developments: the bilaterian body plan ; the coelom, an internal cavity that provided space for a circulatory system and, in some animals, formed a hydrostatic skeleton which enables worm-like animals to burrow ; metamerism, in which the body was built of repeated " modules " which could later specialize, for example the heads of most arthropods are composed of fused, specialized segments.

So, for example, while R < sup > n </ sup > is a Banach space with respect to any norm defined on it, it is only a Hilbert space with respect to the Euclidean norm.

Similarly, as an infinite-dimensional example, the Lebesgue space L < sup > p </ sup > is always a Banach space but is only a Hilbert space when p = 2.

Note that if we regard the product as a vector space, then B is not a linear transformation of vector spaces ( unless or ) because, for example.

Some early ' skyscrapers ' were made in masonry, and demonstrated the limitations of the material – for example, the Monadnock Building in Chicago ( opened in 1896 ) is masonry and just 17 stories high ; the ground walls are almost thick, clearly building any higher would lead to excessive loss of internal floor space on the lower floors.

For example, in three-dimensional complex Euclidean space,

The prototypical example of a Banach algebra is, the space of ( complex-valued ) continuous functions on a locally compact ( Hausdorff ) space that vanish at infinity.

For example, a shopping mall does not provide the merchandise a shopper is seeking, but provides space and services for retailers that serve the shopper.

An example of a compact space is the unit interval of real numbers.

The given example sequence shows the importance of including the boundary points of the interval, since the limit points must be in the space itself: an open ( or half-open ) interval of the real numbers is not compact.

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

Not every countably compact space is compact ; an example is given by the first uncountable ordinal with the order topology.

Not every compact space is sequentially compact ; an example is given by 2 < sup ></ sup >, with the product topology.

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.

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.

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.

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..

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.

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.

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??

The outstanding example was in Garibaldi And The Thousand, where he made use of unpublished papers of Lord John Russell and English consular materials to reveal the motives which led the British government to permit Garibaldi to cross the Straits of Messina.

In his book Civilization And Ethics Albert Schweitzer faces the moral problems which arise when moral law is recognized in business life, for example.

Easily the best known of these three novels is The Space Merchants, a good example of a science-fiction dystopia which extrapolates much more than the impact of science on human life, though its most important warning is in this area, namely as to the use to which discoveries in the behavioral sciences may be put.

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.

One specific example is a secret `` fraternity '' which will `` coordinate anti-Communist efforts ''.

Was it the party's intention, for example, to abolish gradually the kolkhoz system and replace it by uniformly wage-earning kolkhozes, i.e., state farms ( which were, moreover, to be progressively `` urbanized '' )??

How, for example, could a Voltaire understand the strange predicament in which a Rousseau would find himself when, soon after the furor of his first Discourse, he acquired still another title to fame??

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.

An example of the overall standards applied is the 20-to-1 ratio established for the determination of that degree of cochannel interference which is regarded as objectionable.

No matter how determined or wealthy boating lovers of the Southwest had been, for example, they could never have created anything approaching the fifty square-mile Lake Texoma, located between Texas and Oklahoma, which resulted when the Corp of Army Engineers dammed the Red River.

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.

Although biopsies have shown structural changes in some of the reported cases of steroid-induced weakness, this case provides the only example known to us in which necropsy afforded the opportunity for extensive study of multiple muscle groups.

In concluding this section, we should like to give an example which illustrates some of the ideas of the primary decomposition theorem.