* Named entity recognition ( NER ): Given a stream of text, determine which items in the text map to proper names, such as people or places, and what the type of each such name is ( e. g. person, location, organization ).

Given proper nutrition, exercise, and veterinary care, most whippets live for 12 to 15 years.

Given a ring R and a proper ideal I of R ( that is I ≠ R ), I is a maximal ideal of R if any of the following equivalent conditions hold:

Given proper combustion chamber design, pre-ignition can generally be eliminated by proper spark plug selection, proper fuel / air mixture adjustment, and periodic cleaning of the combustion chambers.

Given the abnormalities of the microvasculature and other side effects of diabetes, these wounds take a long time to heal and require a specialized treatment approach for proper healing.

Using tensor calculus, proper time is more rigorously defined in general relativity as follows: Given a spacetime which is a pseudo-Riemannian manifold mapped with a coordinate system and equipped with a corresponding metric tensor, the proper time experienced in moving between two events along a timelike path P is given by the line integral

Given the proper conditions, theory Y managers believe that employees will learn to seek out and accept responsibility and to exercise self-control and self-direction in accomplishing objectives to which they are committed.

Given that the chelandia appear originally to have been oared horse-transports, this would imply differences in construction between the chelandion and the dromōn proper, terms which otherwise are often used indiscriminately in literary sources.

Given a proper language, programs, including operating system servers, could import multiple interfaces and combine them as if they were objects native to that language — notably C ++.

Given the delicate nature of their missions, RENEA reverted to " proper " sniper rifles and currently employs SAKO TRG-22 and TRG-42 rifles.

Given a complete Boolean algebra B there is a Boolean-valued model denoted by V < sup > B </ sup >, which is the Boolean-valued analogue of the von Neumann universe V. ( Strictly speaking, V < sup > B </ sup > is a proper class, so we need to reinterpret what it means to be a model appropriately.

Given that in biology many phyla, families and genera have some species that live in the sea and others that live on land, marine biology classifies species based on the environment rather than on taxonomy.

: Given that desegregation has not produced the predicted leaps forward in black educational achievement, there is no reason to think that black students cannot learn as well when surrounded by members of their own race as when they are in an integrated environment.

Given the ACE model, researchers can determine what proportion of variance in a trait is heritable, versus the proportions which are due to shared environment or unshared environment.

Given the variety of approaches, Economic Geography has taken to many different subject matters, including: the location of industries, economies of agglomeration ( also known as " linkages "), transportation, international trade, economic development, real estate, gentrification, ethnic economies, gendered economies, core-periphery theory, the economics of urban form, the relationship between the environment and the economy ( tying into a long history of geographers studying culture-environment interaction ), and globalization.

# Given an artifact whose performance has been evaluated, it is important to determine why and how the artifact worked or did not work within its environment.

Given that the retail environment in Taiwan is already highly competitive, it is not unusual to see such stores fail.

Given this supposition, Evola proceeded to argue that Fascism or National Socialism — with their heroism, their sacrificial and ascetic ethic, their authoritarian and hierarchical order, together with their appeal to myth and ritual — provided an environment compatible with the ' spirit ' of the celestials.

Given the humid environment directly over running water, mold had proven a problem.

Given the tawaifs ' environment, their performance style of Kathak also differed from the court style, involving more of what in Kathak is termed nakhra ( mischievous playfulness ).

Lessig traces the simultaneous legal environment that permitted its genious: Given the challenge of deciding whether photographers would need to get per mission before taking aim, the legal system decided " in favor of the pirates .....

Given the extended period of time since the war, the Cursed Earth is presumably in the midst of a ( very ) slow environmental recovery with a desert-like environment.

Given the lyrics of the song Dickson plays, which describes life at sea without women, it is more plausible that he intended a joke about the virtually all-male environment of the Black Maria.

Given sufficient time, the solvent will permeate through the polymer and out into the environment, so that the chains lose their mobility.

Given Errtu's native environment, and the temperament of its denizens, this is an excellent survival trait and not too far off the mark.

Given a rapidly changing technological and market environment, many in the public policy area question the government's ability to make and maintain meaningful regulation that doesn't cause more harm than good.

Given its close proximity to the stockyards, the area's physical environment and economic life were shaped by livestock and meatpacking from the 1860s until the industry's decline in the postwar era.

Given its extremely competitive academic environment, Northside successfully lobbied the Chicago Board of Education to eliminate class rankings.

Given that the building was used for military science and the charged political environment with respect to the Vietnam War, the fire is believed to have been an act of protest.

Given a rebbe's physical awareness of God, and the Rebbe's transcendent perception of Godliness, many hasidim take special care to observe the specific and sometimes minute practices of their Rebbe.

Given that sleep apnea is a chronic health issue which commonly doesn't go away, ongoing care is usually needed to maintain CPAP therapy.

Given the ubiquitous use of latex products in health care settings, management of latex allergy presents significant health organizational problems.

Given that the genetics of BWS are complex, a child with BWS should be under the medical care of a geneticist or an expert in the management of BWS.

Given no other choice, Kolish contacted his only remaining adult relative, a brother who lived in Hollywood, and left instructions for the care of Sarria and his family.

Given that the directors can not ensure corporate success, the business judgment rule specifies that the court will not review the business decisions of directors who performed their duties ( 1 ) in good faith ; ( 2 ) with the care that an ordinarily prudent person in a like position would exercise under similar circumstances ; and ( 3 ) in a manner the directors reasonably believe to be in the best interests of the corporation.

Given the deadline for universal access set by world leaders, AIDS 2010 coincided with a major push for expanded access to HIV prevention, treatment, care and support.

Given two months to live by his New York doctors, Tisch lived for 14 more months under care at Duke University's Medical Center.

Given their expertise in serving these populations, many Medicaid managed care plans also offer SNPs to serve dual eligibles.

Given the wide range of services, such as policing, health care and education, that fall under provincial jurisdiction, these divergences have considerable importance.

Given the large tracts of virgin forests within the region, care will be taken to protect and enhance them.

: Given any family of nonempty sets, their Cartesian product is a nonempty set.

Given the similarities in the two characters ' names, professions, written works and generally dark subject matter, it is likely that Lovecraft's Alhazred provided the main inspiration for al-Hazir.

Given a field F, the assertion “ F is algebraically closed ” is equivalent to other assertions:

* Given an algebraic number, there is a unique monic polynomial ( with rational coefficients ) of least degree that has the number as a root.

" Given that Thomas Aquinas died six years before Albertus Magnus ' death, this legend as stated is unlikely.

Given Ealdred's known support of Godwin's family, John of Worcester is probably correct.

* Given any Banach space X, the continuous linear operators A: X → X form a unitary associative algebra ( using composition of operators as multiplication ); this is a Banach algebra.

* Given an R-module M, the endomorphism ring of M, denoted End < sub > R </ sub >( M ) is an R-algebra by defining ( r · φ )( x ) = r · φ ( x ).

Given the other ZF axioms, the axiom of regularity is equivalent to the axiom of induction.

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

Given its " blue-water " bias, the navy is even less inclined to become involved in counterdrug operations than the army or air force.

Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).

Given this, the bidding is said to start at the one-level when contracting for a total of seven tricks, at the two-level for eight tricks and so on to the seven-level to contract to take all thirteen tricks.

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given a ket of norm 1, the orthogonal projection onto the subspace spanned by is

Given this influence, it is unfortunate that many of the details of his life remain shrouded in mystery, perhaps forever ; even the only known picture of him, shown above, is heavily retouched, with a fake tie painted in by hand.

Given points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.

Given the then GDP ($ 7. 095 bln ) of the country, military spending is roughly estimated to be about $ 300 million.

Given some encrypted data (" ciphertext "), the goal of the cryptanalyst is to gain as much information as possible about the original, unencrypted data (" plaintext ").

Given the federal nature of the holiday, celebrating Canada Day can be a cause of friction in the province of Quebec, where the holiday is overshadowed by Quebec's National Holiday, on June 24.

Given that many journeys are for relatively short distances, there is considerable scope to replace car use with walking or cycling, though in many settings this may require some infrastructure modification, particularly to attract the less experienced and confident.

Given such a sweeping definition, it is apparent that cognition is involved in everything a human being might possibly do ; that every psychological phenomenon is a cognitive phenomenon.