Finally, one can use the norm to define a metric ( or distance function ) on R < sup > n </ sup > by

Finally, any function that requires two inputs, for instance the aforementioned function, can be reworked into an equivalent function that accepts a single input, and as output returns another function, that in turn accepts a single input.

Finally William Harvey, a pupil of Hieronymus Fabricius ( who had earlier described the valves of the veins without recognizing their function ), performed a sequence of experiments, and published Exercitatio Anatomica de Motu Cordis et Sanguinis in Animalibus in 1628, which " demonstrated that there had to be a direct connection between the venous and arterial systems throughout the body, and not just the lungs.

Finally, the approved bill receives assent ; in most territories this is merely a formality, and is often a function exercised by the head of state.

Finally, he showed that a larger function L with partial derivatives that are exactly the ones we require can be constructed very simply as below:

Finally, if the photon is transmitting, a function for its direction is given depending upon the nature of the transmission.

Finally, Koestler defines a holarchy as a hierarchy of self-regulating holons that function first as autonomous wholes in supra-ordination to their parts, secondly as dependent parts in sub-ordination to controls on higher levels, and thirdly in coordination with their local environment.

Finally PSUC decided to dissolve itself into Iniciativa per Catalunya, and cease to function as a communist party.

Finally, note that any function can be written in terms of an integral functional.

Finally, one can extend to a continuous function whose domain is the entire unit interval.

Finally, interpolate these dot products using a function that has zero first derivative ( and possibly also second derivative ) at both endpoints.

x < sup > d </ sup > r mod N. Finally it is unblinded using the function D ( z )

Finally, the IsNthPrime () function can be used to produce a formula for the n < sup > th </ sup > prime:

Finally, both classical methods are slow at computing the partial derivatives of a function with respect to many inputs, as is needed for gradient-based optimization algorithms.

Finally, some languages have words whose only function is as a question tag.

Finally, after the electoral crash of the UMP in the 2004 regionnal election, he left its function in Toulouse and returned at the Ministry of Health.

Finally, the gonads in true hermaphroditism must be directly examined ; abnormal gonads with Y line or potential testicular function should be removed but in rare instances a surgeon may try to preserve the ovarian part of an ovotestis.

Finally another important example of a multiplier is the characteristic function of the unit ball in ℝ < sup > n </ sup > which arises in the study of " partial sums " for the Fourier transform ( see Convergence of Fourier series ).

Finally, the relative clause will function as an adjective, answering questions such as " what kind?

Finally, in some colleges and universities, the title of provost ( and the function of deputy to the president or chancellor ) may be separate from the function of chief academic officer.

Finally, in The Maltese Falcon among others, the clash between detective and police is carried to its logical conclusion: Sam Spade becomes the chief murder suspect.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

Finally, there is the undeniable fact that some of the finest American fiction is being written by Jews, but it is not Jewish fiction ; ;

Finally come those little flicks of a rigger brush and the job is done.

Finally, it is suggested that in many respects the horse lung may be anatomically more comparable to that of the human than any other presently known species.

Finally, the image of a general bundle of lines is a congruence whose order is the order of the congruence of invariant lines, namely Af and whose class is the order of the image congruence of a general plane field of lines, namely Af.

Finally, whatever the techniques used, a twin goal is common to all preventive casework service: to cushion or reduce the force of the stress impact while at the same time to encourage and support family members to mobilize and use their ego capacities.

Finally, information is retrieved from the dictionary as required by stages of the translation process -- the grammatical description for sentence-structure determination, equivalent-choice information for semantic analysis, and target-language equivalents for output construction.

Finally, there is the question of how strongly an expressed opinion is held -- whether it is a firm opinion or one that the respondent favors only slightly over the alternatives.

Finally, when the accelerometer output is zero, the entire system remains stationary, and the platform is, by definition, leveled.

Finally, the gyro-stabilized platform characteristic is represented by Af.

Finally, we may also mention the several members of the self-consciously `` neoliberal '' movement that developed at the University of Chicago and is heavily indebted philosophically to the creative work of Alfred North Whitehead.

Finally, the staïfi music is born in Sétif and remains a unique style of its kind.

Finally, this is the germ from which the art of Polykleitos was to grow two or three generations later.

Finally, while Armenia is not the only ex-Soviet state that has incurred multimillion-dollar debts to Russia over the past decade, it is the only state to have so far given up such a large share of its economic infrastructure to Russia.

Finally, a Registration Examination or a series of exams is required prior to licensure.

Finally, above the central part of the facade is a smaller balcony, also iron, with a different exterior aesthetic, closer to a local type of lily.

Finally, when Telemann got the post of organist and music director at the Neukirche, he only played the organ once, and assigned the organist's duties to his students.

Finally, the classifications may be distinguished from the call numbers assigned to particular copies of books in the collection, such as " PZ7. J684 Wj 1982 FT MEADE Copy 1 " where the classification is " PZ7. J684 Wj 1982 ".

Finally, 32 proportional representation ( PR ) seats are assigned according to national votes to the party or coalition in relation to the total number of votes obtained nationally.

Finally, in route assignment, trips are assigned to the network.

Therefore, the property of being Richardian is assigned some integer, n. Finally, the paradox becomes: Is n Richardian?

Finally, in 1610, King Matthias II assigned György Thurzó, the Palatine of Hungary, to investigate.

Finally, fines were assigned for the maintenance of the yeshivas.

Finally, the role was assigned to F-14 Tomcat, carrying AIM-54 Phoenix missiles.

Finally, Cardinal O ' Connell assigned him to promote subscriptions for the archdiocesan newspaper, The Pilot instead.

Finally, is assigned the value of 32. 4.

Finally, quite a few words appear to be Sino-Japanese but are varied in origin, written with ateji ( 当て字 )— kanji assigned without regard for etymology.

Finally, the top-of-the-range status of the Magna VR-X was fully reinforced with the Limited Edition's 17 " x7 " alloy wheels becoming standard ( meaning that, for the first time, VR-X no longer shared the Sports ' 16-inch wheels ) and the Sports was also being assigned a smaller rear wing ( which became optional on all Magna's or standard on Executive-based limited editions ).

* Finally assigned 1 March 1945 to the XVI Corps, Ninth Army, 12th Army Group.

Finally, in 1684 the freehold was assigned to Donough O ' Brien.

* Finally, to the north and north-east the 24 remaining communes of the Seine department were grouped with 16 communes of the Seine-et-Oise department to form the new Seine-Saint-Denis department, and the official number 93 was assigned to this department ( a number previously used for the department of Constantine in French Algeria ).

Finally, he assigned the non-Nilo-Saharan languages of the Nuba Hills of Kordofan to a single subfamily ( Kordofanian ), which together with Niger – Congo formed a new phylum, Congo – Kordofanian.

Finally, he reverted to inactive reserve status where he was assigned to Headquarters, 6th MCR & RD, Atlanta, Georgia, until completing his enlisted service and receiving a discharge on September 3, 1956.