In mathematics and, in particular, functional analysis, convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions, giving the area overlap between the two functions as a function of the amount that one of the original functions is translated.

Hurricane Ike was the third most damaging storm in the history of the United States, causing more than $ 25 billion in damage along the coast, leaving hundreds of thousands of people homeless, and sparking the largest search-and-rescue operation in U. S. history.

The first operation, vector addition, takes any two vectors v and w and outputs a third vector The second operation takes any scalar a and any vector v and outputs a new vector.

In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element.

While a third attempt was in the last stages of preparation, the operation commander, Lieutenant-Colonel Splendorelli, was ambushed between Bud Bud and Buula Barde.

A third, reserve, ferry was ordered and modern shore facilities were also built and twin-ferry operation began in July 1932.

CANTAT-3 is the third Canadian transatlantic telecommunications cable, in operation from 1994, initially carrying 3 x 2. 5 Gbit / s between Canada and Europe.

Hanna deliberately intercepts McCauley during a surveillance operation and invites him to coffee, where he concedes the problems of his personal life ; his concern for his depressed stepdaughter Lauren ( Natalie Portman ) and the failure of his third marriage due to his obsession with work.

About a third of patients show significant improvement in their symptoms after operation.

On 20 August an operation by British tanks, artillery and infantry captured strongpoints along the St Julien – Poelkappelle road and two days later more ground was gained by XVIII and XIX Corps, which left them still overlooked by the Germans in the uncaptured part of the Wilhelm ( third ) Line.

The < font color =" red "> third degree </ font > of miracles is when God does what is wont to be done by the operation of nature, but without the operation of the natural principles: for instance when by the power of God a man is cured of a fever that nature is able to cure ; or when it rains without the operation of the principles of nature.

Consider code that adds two numbers and then multiplies by a third ; in the Cray, these would all be fetched at once, and both added and multiplied in a single operation.

The third generation of mobile technology with UMTS system began full operation 2004.

Therefore it is not considered advisable to use a third rail to allow dual-gauge operation on mainline sections of track, because of the danger of material lodging between the two rails.

There has been argument for well over a century about the practicability of third rail operation, and numerous devices have been promoted to overcome the problem, especially at turnouts, including " Brennan Switch ".

Versions of the Mauser action designed prior to the Gewehr 98's introduction, such as that of the Swedish Mauser rifles and carbines, lack the third locking lug and feature a " cock on closing " operation.

This allows operation under the wires between Pelham, NY and New Haven, CT, a section of track owned by Metro North but shared with Amtrak's Northeast Corridor service, and on third rail between Pelham and Grand Central Terminal.

On 8 April 2010, it was confirmed that British Airways and Iberia had signed an agreement to merge, making the combined operation the third largest commercial airline in the world by revenue.

The Coachella Valley Adult School, in operation since 1952, is the third largest adult school in Riverside County.

A third business, the " New People's Store " recently closed its doors when the U. S. Postal Service decided to end its operation in Luverne.

A third school for migrant students was in operation through the 1970s.

Let a be the operation " swap the first block and the second block ", and b be the operation " swap the second block and the third block ".

Two minutes later it came again -- a double explosion, followed by a third, sounding more distant.

A third Thomas Bushell ( 1594-1674 ), `` much loved '' by Bacon, called himself `` The Superlative Prodigall '' in The First Part of Youths Errors ( 1628 ) and became an expert on silver mines and on the art of running into debt.

The young apprentice apparently did well by Mr. Brown, for in the third year of his apprenticeship Lucian was offered a full partnership in the firm ; ;

He had style: he held his reins in a loose bunch at the third button of his checked Epsom surtout, and when the horses leaned at a curve, as if bent by the force of a gale, he leaned with them.

The third method was, to our knowledge, successfully applied for the first time by C. Sheer and co-workers ( Ref. 2 ).

The third, containing the mixed type of complete and incomplete antibodies, had titers of 1: 256 in saline, 1: 512 in albumin and 1: 1024 by the indirect Coombs test.

Failure confirms the threat, and the intensity of anxiety is increased as the required learning becomes more difficult, so that by the time the child reaches the third grade the decrement in performance is pronounced.

A third cell can be added by storing the address of another Y-cell in Af ; ;

A third explanation is suggested by Richardson's analysis of Sukuma tone.

The third list was selected by the research team on a random basis from the Thomas Register.

Obviously, a satisfactory answer to the third question is imperative, if the argument is to get under way at all, for if there is any possibility of doubt whether the patient's tactual sensitivity had been impaired by the occipital lesion, any findings whatsoever in regard to the first question become completely ambiguous and fail altogether, of course, as evidence to establish the desired conclusion.

Therefore, the third principle of the plan must be that it does not depend for effectiveness on engagement by the same types, unless at an assured favorable exchange rate.

The continuity of the project is suggested by plans for an eventual third edition.

After the first two were blacked out, the third light was abandoned by a terrified Italian crew, who left their light to shine for nine minutes like an unerring homing beacon until British MP's shot it out.

Ruth himself, still owning his farm in Massachusetts and an interest in the Massachusetts cigar business that printed his round boyish face on the wrappers, had led the parade down from Fenway Park, followed by pitchers Carl Mays, Leslie `` Joe '' Bush, Waite Hoyt, Herb Pennock, and Sam Jones, catcher Wally Schang, third baseman Joe Dugan ( who completed the `` playboy trio '' of Ruth, Dugan, and Hoyt ), and shortstop Everett Scott.

After Captain Docherty sent Arleigh Griffith for Hoag he was able to complete his detailed inspection of the third floor and to receive a report from his man covering the floors above before Griffith returned, buoyed up by a brief stop for another glass of champagne.

The Government reported last week that the index of prices received by farmers rose in the month ended at mid-September for the third consecutive month, reaching 242% of the 1910-14 average compared with 237% at mid-July.

Therefore, the only conceivable alternatives are those represented, on the one hand, by the two at least apparently self-consistent but mutually exclusive positions of Buri and Barth and, on the other hand, by the third but really pseudo position ( analogous to a round square ) of Bultmann.

The only man alive who seems qualified by his learning, his disposition and his addiction to a baroque luxuriance of language to inherit the literary mantle of Sacheverell Sitwell, Mr. Sansom writes of foreign parts with a dedication to decoration worthy of a pastry chef creating a wedding cake for the marriage of a Hungarian beauty ( her third ) and an American multimillionaire ( his fourth ).

According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

Additionally, Sherr points out that this was the original third verse written by Bates:

Below this crack is another group of eleven parallel lines, again divided into two sections by a line perpendicular to them, but with the semicircle at the top of the intersection ; the third, sixth and ninth of these lines are marked with a cross where they intersect with the vertical line.

A third concept was proposed in 1923 by Gilbert N. Lewis which includes reactions with acid-base characteristics that do not involve a proton transfer.

In three arduous campaigns, the first two of which were conducted by the emperor himself while the third was directed by Manuel Comnenos ( great-uncle of Emperor Manuel Comnenos ), the Turks were defeated in detail in 1070 and driven across the Euphrates.