Given also a measure on set, then, sometimes also denoted or, has as its vectors equivalence classes of measurable functions whose absolute value's-th power has finite integral, that is, functions for which one has

Given the high thermal design power of high-speed computer CPUs and components, modern motherboards nearly always include heat sinks and mounting points for fans to dissipate excess heat.

Given the abundance of mountain streams and lakes, the potential for hydroelectric power is substantial.

Given free rein to change the story however he wanted, Aki's version is a violent saga focused primarily on fighting and has Hitomi transforming into a " curvaceous nymph " that is the power source of the mecha Escaflowne.

Given the practical weight of suitable power sources, the accelerations given by ion thrusters are frequently less than one thousandth of standard gravity.

Given that noise-equivalent power can be expressed as a function of the responsivity ( in units of or ) and the noise spectral density ( in units of or ) as, it's common to see the specific detectivity expressed as.

Given his socialist agenda in Egypt, the Ba ' ath should have been his natural ally, but Nasser was hesitant to share power.

Given a system of n-dimensional variables ( physical variables ), in k ( physical ) dimensions, write the dimensional matrix M, whose rows are the dimensions and whose columns are the variables: the ( i, j ) th entry is the power of the ith unit in the jth variable.

Given formal power series

Given a formal power series

Given the display of imperial power Henry III had inflicted on the Romans in intervening against Pope Gregory VI and installing Clement II, it is not surprising that on Christmas Day of 1047, an emissary was sent by the Roman people bringing news of Clement II's death to Henry III and asking him, in his position as Patricius of the Romans, to appoint a successor.

Given the inherent goodness of Ṛta and its absolute power over the operation of the universe, the presence of gross inequality and injustice in the world represented a serious religious, philosophical and ethical dilemma.

Given that Kent was under Frankish influence, while Bede sees the mission as being " Roman " in origin, the Franks were equally interested in converting their fellow Germans, and in extending their power and influence.

Given that power is not innate and can be granted to others, to acquire power you must possess or control a form of power currency.

Given the sheer power of leverage the Rothschild family had at its disposal, this profit was an enormous sum.

Given the disparity in power between Hungary and the Allies, Hungarian chances for victory were slim at best.

Given a strictly increasing integer sequence / function ( n ≥ 1 ) we can produce a faster growing sequence ( where the superscript n denotes the n < sup > th </ sup > functional power ).

Given the large amount of power that was generated by this collision, it has been deduced that a large portion of the Moon would have been liquified, and this

* Monitoring by large shareholders and / or monitoring by banks and other large creditors: Given their large investment in the firm, these stakeholders have the incentives, combined with the right degree of control and power, to monitor the management.

Given a source with a fixed voltage and fixed source impedance, the maximum power theorem says this is the only way to extract the maximum power from the source.

Given the initial presentation of Guellen, Claire's power, the history between Claire and Ill, and the nature of Claire's decree, Ill's death appears almost inevitable.

Given the time scale of a few billionths of a second, the peak UV power delivered to the target is correspondingly very high, 500 TW.

Given that specialized phutball boards are hard to come by, the game is usually played on a 19 × 19 Go board, with a white stone representing the football and black stones representing the men.

Given the tendency of political parties in India to make and break alliances frequently, the National Democratic Alliance does not have a formal governing structure in place, such as an executive board or politburo.

Given the price of RAM during the period, up to several hundred dollars per MiB, and the quality and reputation of the above brand names, an expanded memory board was very expensive.

Given under Our Hand at Our Court on board H. M. S.

Given the fact that the hull of the Joyita was sound and her design made her unsinkable, a main concern of investigators was determining why the passengers and crew did not stay on board if the events were simply triggered by the flooding in the engine room.

Given that the management of Alumina's assets is performed entirely by other companies, their extensive governance structure and regular board meetings have attracted adverse comment.

Given a certain board position, it breaks up the board into independent components, finds out what state each component is in, and combines the bitstrings representing those elements together using bitwise XOR.

Given our political differences, people are sometimes surprised how close Ronnie and I have been to the Kennedy family.

Given that Toutatis makes many close approaches the Earth, such as in 1992, 1996, 2000, 2004, 2008, and 2012, it is listed as a potentially hazardous object.

* Toys: Given their ability to counteract the force of gravity at close range, magnets are often employed in children's toys, such as the Magnet Space Wheel and Levitron, to amusing effect.

" Given the Nugget close relationship to Behan ( it was owned by Behan's deputy sheriff ), it is likely they interviewed him.

Given the tense nature of racial tension in America during the time of the film's production, Poitier felt he was " under close observation by both " Tracy and Hepburn during their first dinner meetings prior to production.

Given a second title shot, this time by the WBA, Laporte met the also legendary World featherweight champion Eusebio Pedroza in 1982, losing a close and controversial split decision.

Given that the businesses in Miami Springs had always relied upon the large disposable incomes of the employees of the large airline carriers, the bankruptcy of both corporations in the same year created a chain reaction, eventually causing many small businesses to close their doors.

Given the high value of these areas for wildlife species, close to 70 % of this big-tree old growth forest is protected in reserves, and will never be eligible for harvest.

Given the weather conditions close to the summit, cold weather injuries are very common.

Given that the USA maintained diplomatic relations with Taiwan Republic of China since the end of World War II and did not establish recognition of so-called ' Red ' China or People's Republic of China until the latter part of the twentieth century, the introduction of Taiwanese style racing to America corresponded to the close business and social contacts between these two nations.

Given the close economic links between the two countries, the collapse quickly affected Canada.

Given the close anatomical similarity between these species and Oviraptor, it is highly likely that Oviraptor had feathers as well.

After a transfer fee initially reported to be around £ 8 million was agreed between the clubs, Given signed for Manchester City on 1 February, with the transfer window set to close the following day.

" As well, he also stated: " Given its extensive geographical coverage and the recent move to integrate it with other means of transportation, the Asian Highway project requires collective effort and close collaboration among the Asian countries.

Given criminal covers, the officers use all of the resources at their disposal to apprehend dangerous miscreants while walking the line between cop and criminal, in a close relation to the Miami Vice series.

Given the village's rich history, coastal location and close proximity to eastern U. S. cities, Cabot Cove was transformed from a small, sleepy fishing village to a tourist destination for the people coming from New York.

Given such conditions, the chances are good that the whales can be driven fully ashore or close enough to the shore that they can be killed from land.

Given the extensive renovations that would have been required to bring the station up to modern standards, the city decided to close it instead.

Given Chingoka's close ties to Bvute, it is likely that the latter will continue in his post as well.

# Given that rocky planets were ( at the time Rare Earth was written ) thought to form closer to their central stars, the planet probably forms too close to the star to lie within the habitable zone.

' Given all the terrorists, thugs, and racists Barack Obama has chosen as close personal friends ( see e. g. Rev.

Given the close ties between the world of Japanese console RPGs and animation, the magazine also heavily featured information about manga and anime by noted UK based writer, Helen McCarthy.

Given that Burford sits at near equal distances from the towns of Witney and Carterton, and close to villages such as the Wychwoods, the school has a large catchment area.

Given its close proximity to Asia and constant flow of Asian immigrants, Asian food has the largest foothold in Los Angeles after Mexican cuisine.