In other words AVL tree is a binary search tree where the height of the left subtree differs from the height of the right subtree by at most 1 level, if it exceeds 1 level then rebalancing occurs.

For example, if the sorted list to which we apply binary search has n elements, and we can guarantee that each lookup of an element in the list can be done in unit time, then at most log < sub > 2 </ sub > n + 1 time units are needed to return an answer.

The researcher can then execute a new search using authorized subject headings that will yield more focused, pinpointed results.

For example, if in a search task the reaction times vary proportionally with the number of elements, then it is evident that this cognitive process of searching involves serial instead of parallel processing.

After an appropriate delay without a return, these will then organise a search party ( usually made up by other cavers trained in cave rescues, as even professional emergency personnel are unlikely to have the skills to effect a rescue in difficult conditions ).

Done naively, this will take O ( n ) time: we search through all the triangles to find the one that contains v, then we potentially flip away every triangle.

European explorers-first the Portuguese in search of the Spice Islands ( Indonesia ) and then the Spanish-reached the Carolines in the 16th century, with the Spanish establishing sovereignty.

Only then he narrows his search to the best business in that area.

There is Blair leading a respectable, outwardly eventless life at his parents ' house in Southwold, writing ; then in contrast, there is Blair as Burton ( the name he used in his down-and-out episodes ) in search of experience in the kips and spikes, in the East End, on the road, and in the hop fields of Kent.

It was then considered prudent to search the cellars on the day before each State Opening of Parliament, a ritual that survives to this day, although now retained as a picturesque custom rather than as a serious anti-terrorism precaution.

A legend developed that since the Templars had their headquarters at the Temple Mount in Jerusalem, they must have excavated in search of relics, found the Grail, and then proceeded to keep it in secret and guard it with their lives.

If the list is stored as an ordered array, then binary search is almost always more efficient than linear search as with n > 8, say, unless there is some reason to suppose that most searches will be for the small elements near the start of the sorted list.

Nikki and Tommy then began a search for new members.

This works by first matching unambiguous meanings, then limiting the search space to only the respective ancestors and descendants of those matched meanings.

The closest analogy with the modern Web browser would be to create a list of bookmarks to articles relevant to a topic, and then to have some mechanism for automatically scrolling through the articles ( for example, use Google to search for a keyword, obtain a list of matches, repeatedly use the " open in new tab " feature of the Web browser, and then visit each tab sequentially ).

This implicit threat to the viability of the Royal Navy became apparent in mid-September ( a month after the decision had been taken to settle Botany Bay ) and caused the Pitt Administration to begin an urgent search for new sources of supply, including from Norfolk Island, which was then added to the plan to colonise New South Wales.

In the first episodes, we trace Telemachus ' efforts to assert control of the household, and then, at Athena ’ s advice, to search for news of his long-lost father.

But if a peer is looking for rare data shared by only a few other peers, then it is highly unlikely that search will be successful.

The third strand of research is the " behavior centered " approach which starts by observing different behavior between linguistic groups and then proceeds to search for possible causes for that behavior in the linguistic system.

One way to do this is to first perform a standard binary tree search for the element in question, and then use tree rotations in a specific fashion to bring the element to the top.

Both of these theorems are only known to be true by reducing them to a computational search which is then verified by a computer program.

Marshall traveled to Indianapolis in search of a defense lawyer and employed future United States President Benjamin Harrison, then a prominent lawyer in the area.

I saw the clergyman kneel for a moment by the twitching body of the man he had shot, then run back to his position.

They could hear the pony's feet on the dry leaves for a while, then the sound faded out.

`` He works for my father '', the girl said, and then seemed to change her mind.

Barton waited for a long moment, then asked the question which lay always uppermost in his mind.

If she, Pamela, were being held responsible for his crimes, then hers must be the final act of expiation.

Rumors of the offer Tom Horn had made at the Stockgrowers' Association meeting had leaked out by then, and as a grand jury investigation of the murder got underway, the prosecuting attorney, a Colonel Baird, ordered that the tall stock detective be summoned for questioning.

By then Hez could see for himself, and so could the others.

She'd driven around for a while, Joyce said, then, thinking Louis Thor would have calmed down by that time, she'd gone back to his home on Bryn Mawr Drive, parked in front, and walked toward the pool.

I showed her the shower and tub, and she said, smiling, `` If you really don't mind, I think I'll get clean in the shower, then soak for a few minutes in your tub.

He flexed his muscles for several minutes, got into the tub, and then grew self-conscious of splashing as he washed.

`` Karipo's women then named this place ' Eromonga ' -- manhood -- for just the strongest men could stay here.

`` I guess he spent the morning getting himself all organized, then headed for home.

Every so often the diminishing sound of a car came under the trailer as it slowed down for the wreck then speeded up again as it got clear.

Curly hair, high cheekbones, wide gnomelike mouth, a pair of drummer's blocky hands, and a body that said well, maybe I can wrestle you for ten minutes -- but then I'm finished.

We followed the asphalt road for a few miles and then swung off onto a smaller road which was nothing more than two tire marks on the earth.

The two children, both boys, wandered around the Australian and me for a few moments and then returned to their work.

On a military mission for his native Virginia the youthful George Washington touched off the French and Indian War, then guarded his colony's frontier as head of its militia.

The field, then, is ripe for new Southerners to step to the fore and write of this twentieth-century phenomenon, the Southern Yankeefication: the new urban economy, the city-dweller, the pains of transition, the labor problems ; ;

The useful suggestion of Professor David Hawkins which considers culture as a third stage in biological evolution fits quite beautifully then with our suggestion that science has provided us with a rather successful technique for building protective artificial environments.

This and other fears of the solar system have disappeared gradually, first, with the Ptolemaic system and its built-in concept of periodicity and then, more firmly, with the Newtonian innovation of an universal force that could account quantitatively for both terrestial and celestial motions.

Once, then -- for how many years or how few does not matter -- my world was bound round by fences, when I was too small to reach the apple tree bough, to twist my knee over it and pull myself up.

The street that is full now of traffic and parked cars then and for many years drowsed on an August afternoon in the shade of the curbside trees, and silence was a weight, almost palpable, in the air.

Being somewhat delicate in health, at the age of sixteen he was sent to Southern Europe, for which he at once developed a passion, so that he spent nearly all of the following ten years abroad, at first in Italy, then in Greece, Egypt, Asia Minor, and Palestine.

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

Actually, you could wish for some passion, now and then, but when you look around the world and see the little volcanos of current history which partisan social passions have wrought, you are glad that in these pamphlets there is at least some civilized calm.