Given a vector space V over the field R of real numbers, a function is called sublinear if

Every seminorm on V ( in particular, every norm on V ) is sublinear.

The Hahn – Banach theorem states that if is a sublinear function, and is a linear functional on a linear subspace U ⊆ V which is dominated by on U,

Several important space complexity classes are sublinear, that is, smaller than the size of the input.

For a function between metric spaces, it is equivalent to admit a modulus of continuity that is either concave, or subadditive, or uniformly continuous, or sublinear ( in the sense of growth ).

Thus, for a function between metric spaces it is equivalent to admit a modulus of continuity which is either concave, or subadditive, or uniformly continuous, or sublinear.

A sublinear modulus of continuity can easily found for any uniformly function which is a bounded perturbations of a Lipschitz function: if is a uniformly continuous function with modulus of continuity, and is a Lipschitz function with uniform distance from, then admits the sublinear module of continuity Conversely, at least for real-valued functions, any bounded, uniformly continuous perturbation of a Lipschitz function is a special uniformly continuous function ; indeed more is true as shown below.

A sublinear function, in linear algebra and related areas of mathematics, is a function on a vector space V over F, an ordered field ( e. g. the real numbers ), which satisfies

In functional analysis the name Banach functional is used for sublinear function, especially when formulating Hahn – Banach theorem.

In computer science, a function is called sublinear if in asymptotic notation ( Notice the small ).

`` The main bunch is outside, but there are some over there inside the wall ''.

But there's one thing I never seen or heard of, one thing I just don't think there is, and that's a sportin' way o' killin' a man ''!!

Even the knowledge that she was losing another boy, as a mother always does when a marriage is made, did not prevent her from having the first carefree, dreamless sleep that she had known since they dropped down the canyon and into Bear Valley, way, way back there when they were crossing those other mountains.

Bryn Mawr Drive is only two or three miles from the Spartan, and it took me less than five minutes to get there.

Nevertheless, there is no bath.

It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.

`` There isn't anything left to say, is there, Keith ''??

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

But there is no use causing him to worry at this time ''.

The strong feeling is certainly there ; ;

but there is a leavening of liberalism among college graduates throughout the South, especially among those who studied in the North.

The long-settled areas of states like Virginia and South Carolina developed the ante-bellum culture to its richest flowering, and there the memory is more precious, and the consciousness of loss the greater.

And there is no section of the nation more ardent than the South in the cold war against Communism.

Had the situation been reversed, had, for instance, England been the enemy in 1898 because of issues of concern chiefly to New England, there is little doubt that large numbers of Southerners would have happily put on their old Confederate uniforms to fight as allies of Britain.

Ratified in the Republican Party victory in 1952, the Positive State is now evidenced by political campaigns being waged not on whether but on how much social legislation there should be.

At General Power's seat in the balcony there is also a gold phone.

They are huge areas which have been swept by winds for so many centuries that there is no soil left, but only deep bare ridges fifty or sixty yards apart with ravines between them thirty or forty feet deep and the only thing that moves is a scuttling layer of sand.

For one thing, there is a natural belt of rock across the river bed ; ;

Down through the axis of the bridge there is a long diminishing vista like a visual echo of piers and arches, while the vaults fronting upstream and down frame the sunset and sunrise, the mountains and river pools.

Yet within this limitation there is an astonishing variety: design as intricate as that in the carpet or miniature, with the melodic line like the painted or woven line often flowing into an arabesque.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

However, there is always the possibility that chance will make demands the dancers find impossible to execute.

Laurel is gone, my men are gone, Ed is dead -- and you come to me, to help me.

this is not so, for education offers all kinds of dividends, including how to pull the wool over a husband's eyes while you are having an affair with his wife.

Ballet dancer: Protests, tears, and `` take what you want, Nicolas, I am a dancer, you are a poet, it is all beautiful ''.

The place is inhabited by several hundred warlike women who are anachronisms of the Twentieth Century -- stone age amazons who live in an all-female, matriarchal society which is self-sufficient ''.

She said, `` My name is Songau and these girls are Ponkob and Piwen.

This is puzzling to an outsider conscious of the classic tradition of liberalism, because it is clear that these Democrats who are left-of-center are at opposite poles from the liberal Jefferson, who held that the best government was the least government.

If the circumstances are faced frankly it is not reasonable to expect this to be true.

The two main charges levelled against the Bourbons by liberals is that they are racists and social reactionaries.

Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.

It is one of the ironic quirks of history that the viability and usefulness of nationalism and the territorial state are rapidly dissipating at precisely the time that the nation-state attained its highest number ( approximately 100 ).

That is particularly true of sovereignty when it is applied to democratic societies, in which `` popular '' sovereignty is said to exist, and in federal nations, in which the jobs of government are split.

There is unceasing pressure, but its sources are immediate.

Accidental war is so sensitive a subject that most of the people who could become directly involved in one are told just enough so they can perform their portions of incredibly complex tasks.

Only one rule prevailed in my conversations with these men: The more highly placed they are -- that is, the more they know -- the more concerned they have become.

Others are confined to vast reservations, and not only does the Australian government justifiably not wish them to be viewed as exhibits in a zoo, but on their reservations they are extremely fugitive, shunning camps, coming together only for corroborees at which their strange culture comes to its highest pitch -- which is very low indeed.