From such uncertainties, that characterize ongoing work, stems the unavailability of a definition of algorithm that suits both concrete ( in some sense ) and abstract usage of the term.

From the above, it is possible to reformulate the definition to either of the following:

From 1975 to 1979, a Canadian progressive power trio, Rush, released three albums containing sidelong epics, regarded by some as concept albums ( though not actually concept albums by strict definition of the term ; that is, none of the other songs on the album have anything to do with each other or the 20-minute sidelong epic, so there is no pervasive concept or story ).

The result, div F, is a function of p. From this definition it also becomes explicitly visible that div F can be seen as the source density of the flux of F.

From his first composition to his last, he rejected the idea of musical development, in the strict definition of this term: the intertwining of different themes in a development section of a sonata form.

From earliest times, some kind of government has arguably been a vital part of every human society — though this refers only to a particularly loose definition of government.

From these three assumptions, neoclassical economists have built a structure to understand the allocation of scarce resources among alternative ends — in fact understanding such allocation is often considered the definition of economics to neoclassical theorists.

From the definition of matrix multiplication, there exists an × matrix, such that.

From the definition of the delta-function, u may also be written as

From the definition, the direction of the electric field is the same as the direction of the force it would exert on a positively-charged particle, and opposite the direction of the force on a negatively-charged particle.

From the 19th century, a large portion of the Muslim peoples ( termed ' Muhacir ' under a general definition ) of the Balkans, Caucasus, Crimea and Crete took refuge in present-day Turkey and shaped that country's fundamental features.

From Aristotle onward the definition, in philosophical contexts, of the word " essence " is very close to the definition of form ( Gr. morphe ).

From this definition, it is straightforward to find an equivalent charge in SI coulombs.

From the circuit diagram to the right, according to Kirchoff's Laws and the definition of capacitance:

From the circuit in Figure 1 above, according to Kirchoff's Laws and the definition of capacitance:

From Rüssspitz to Wildspitz, from Chiem to Gottschalkenberg, one can discover many scenic highlights ; for example, the Zugerberg mountain and the Walchwilerberg Oberallmig-a ridge of fascinating depth of definition, a moor with national cachet.

From the definition of the magnetic vector potential A and the fundamental theorem of the curl the magnetic flux may also be defined as:

From this, Post was able to derive the following definition of inconsistency without the use of the notion of contradiction:

In convex geometry, a face of a polytope P is the intersection of any supporting hyperplane of P and P. From this definition it follows that the set of faces of a polytope includes the polytope itself and the empty set.

From this follows the definition of effective mass:

From this definition, the latent heat for a given mass of a substance is calculated by

From the Bronze Age into the Renaissance the average masses of wheat and barley grains were part of the legal definition of units of mass.

From this definition, several other properties can be deduced.

From basic image filter theory the angular cutoff frequency and the characteristic impedance of a low-pass constant k filter are given by ;

From this projected ellipse the complete elements of the orbit may be computed, where the semi-major axis can only be expressed in angular units unless the stellar parallax, and hence the distance, of the system is known.

From the Earth there is often no way to resolve a small object in our Solar System, even in the most powerful of telescopes, since the apparent angular size of the object is smaller than one pixel in the detector.

From the perspective of the Solar System as a whole ( panel ( b ) of the figure ), the dust grain absorbs sunlight entirely in a radial direction, thus the grain's angular momentum remains unchanged.

From around 1400 both the skull of the helmet and the hinged visor became less angular and more rounded over time, with almost globular forms becoming common from c. 1435.

From the formal definition of angular momentum, recursion relations for the Clebsch – Gordan coefficients can be found.

From quantum mechanics the angular momentum is given as.

From this angular, atonal starting point, the band developed their signature sound over the course of several albums and numerous singles.

From the time of the earliest gravitational analysts among Newton's successors, Euler, Clairaut and d ' Alembert, it was recognized that nearly all of the main lunar perturbations could be expressed in terms of just a few angular arguments and coefficients.

From these basic parameters, just four basic differential angular arguments are enough to express, in their different combinations, nearly all of the most significant perturbations of the lunar motions.

From Geertgen, Mostaert adopted a refined style and thoughtful compositions for his works, as well as the stiff, angular look of his figures.

From upstream it looks like a long arcaded box laid across the river ; ;

From the evidence `` it may be conjectured that core - core marriages are the preferred unions for core males and females ; ;

From the point of view of syntactic analysis the head word in the statement is the predicator has broken, and from the point of view of meaning it would seem that the trouble centers in the breaking ; ;

From this side he could see farther into the legation's third-story window, but he saw no faces ; ;

Austrian Economics in Transition: From Carl Menger to Friedrich Hayek ( Palgrave Macmillan ; 2010 ) 339 pages

From top to bottom ; electron / positron, proton / antiproton, neutron / antineutron.

From there she negotiated with the emperor for the safety of family members left in the capital, while protesting her sons ' innocence of hostile actions ; under the falsehood of making a vesperal visit to worship at the church, she deliberately excluded the grandson of Botaneiates and his loyal tutor, met with Alexios and Isaac and fled for the forum of Constantine.

From the most northerly point, Ras ben Sakka in Tunisia, in 37 ° 21 ′ N, to the most southerly point, Cape Agulhas in South Africa, 34 ° 51 ′ 15 ″ S, is a distance approximately of ; from Cape Verde, 17 ° 33 ′ 22 ″ W, the westernmost point, to Ras Hafun in Somalia, 51 ° 27 ′ 52 ″ E, the most easterly projection, is a distance ( also approximately ) of.

From the mid-1930s on, National Socialist ideologues attacked the anthroposophical world-view as being opposed to Nazi racist and nationalistic principles ; anthroposophy considered " Blood, Race and Folk " as primitive instincts that must be overcome.

From this it follows that correctness of drawing depends solely upon the principal rays ; and is independent of the sharpness or curvature of the image field.

From him it has descended continuously, through fifteen individuals, the title being increased to an Earldom in 1784 ; and in 1876 William Nevill 5th Earl ( b. 1826 ), ( d. 1915 ) an indefatigable and powerful supporter of the Tory Party, was created 1st Marquess of Abergavenny.

From 1902 to 1904, in addition to the building of the Shrine of the Báb that ` Abdu ' l-Bahá was directing, he started to put into execution two different projects ; the restoration of the House of the Báb in Shiraz, Iran and the construction of the first Bahá ' í House of Worship in Ashgabat, Turkmenistan.

He also says: " From either end protrudes a blunt chin ; each is far from each other.

From 1952-56, she appeared in seventeen films ; in 1953 she played a role in Jean Anouilh's stageplay L ' Invitation au château ( Invitation to the Castle ).

Lancaster starred in three films with Deborah Kerr ; From Here to Eternity, Separate Tables, and The Gypsy Moths.

From the 14th century, the term was also used for a junior member of a guild ( otherwise known as " yeomen ") or university ; hence, an ecclesiastic of an inferior grade, for example, a young monk or even recently appointed canon ( Severtius, de episcopis Lugdunen-sibus, p. 377, in du Cange ).

From its origins near the city of Sarh, the middle course of the Chari makes its way through swampy terrain ; the lower Chari is joined by the Logone River near N ' Djamena.

From the year 2000 onward, Chile completely overhauled its criminal justice system ; a new, US-style adversarial system has been gradually implemented throughout the country with the final stage of implementation in the Santiago metropolitan region completed on June 9, 2001

* Cragon, Harvey G. From Fish to Colossus: How the German Lorenz Cipher was Broken at Bletchley Park ( Cragon Books, Dallas, 2003 ; ISBN 0-9743045-0-6 ) – A detailed description of the cryptanalysis of Tunny, and some details of Colossus ( contains some minor errors )

From India to Indonesia the use of spices is characteristic ; coconuts and seafood are used throughout the region both as foodstuffs and as seasonings.

From 1956 to 1958, a pitcher was not allowed to win the award on more than one occasion ; this rule was eliminated in 1959.