From an " aspiration or desire ", the celestial spheres, imitate that purely intellectual activity as best they can, by uniform circular motion.

From roughly 1560, purely honorific orders were established, as a way to confer prestige and distinction, unrelated to military service and chivalry in the more narrow sense.

From early beginnings with the invention of the phonograph using purely mechanical techniques, the field has advanced with the invention of electrical recording, the mass production of the 78 record, the magnetic wire recorder followed by the tape recorder, the vinyl LP record.

From this point on, Condorcet shifted his focus from the purely mathematical to philosophy and political matters.

From the point of view of purely judicial administration, Anjou was subject to the parlement of Paris ; Angers was the seat of a presidial court, of which the jurisdiction comprised the sénéchaussées of Angers, Saumur, Beaugé, Beaufort and the duchy of Richelieu ; there were besides presidial courts at Château-Gontier and La Flèche.

From a materialist " Home Team " perspective, ideas are also social ( rather than purely biological ), and formed and transmitted and modified through the interactions between social organisms and their social and physical environments.

From 1862 Smetana was largely occupied with opera and, apart from a few short pieces, did not return to purely orchestral music before beginning Má vlast in 1872.

From a purely military point of view, Rundstedt was apprehensive about Hitler's plans to attack Czechoslovakia, since he believed that Britain and France would intervene and Germany would be defeated.

From the very beginning of the Great Northern War, Sweden suffered from the inability of Charles XII to view the situation from anything but a purely personal point of view.

From 1971, the Cortina formed the basis of the Ford P100 pick-up truck, which was produced in South Africa, purely for that market.

From this standpoint he argued against a purely psychological type of religion ( agnosticisme religieux ; as he termed it )-- a tendency to which he saw even in A Sabatier and the symbolofidéisme of the Paris School — as giving up a real and unifying faith.

From this purely aesthetic point of view only I found some of it impracticable, and for this reason I re-edited the solo part.

From a purely military perspective, France had gained some advantages, by breaking through the ring of fortresses that surrounded the Spanish Netherlands.

From its original meaning of head or body lice, it seems to have evolved into a purely imaginary stand-in for anything contagious and repulsive.

From the beginning of Glass and Wilson's collaboration, they insisted on portraying the icon purely as a historical figure, in the absence of a storyline attached to his image.

From antiquity till the Renaissance, the spotted and striped hyena were either assumed to be the same species, or distinguished purely on geographical, rather than physical grounds.

From that vague direction, the artists developed a lot of explorations, some purely mechanical, some not, for Grievous ' look.

From about 1967 bands like British band Cream and The Jimi Hendrix Experience had begun to move away from purely blues-based music into psychedelia.

From the beginning in 1971, the same year Amtrak began service on purely passenger routes in the US, a key feature of Auto-Train's new service was the use of autoracks, which were former Canadian National transcontinental bi-level, enclosed autorack boxcars.

From purely mathematical point of view, affine Lie algebras are interesting because their representation theory, like representation theory of finite dimensional, semisimple Lie algebras is much better understood than that of general Kac – Moody algebras.

* From 1957 to 1963, all rocket experiments in the area of Cuxhaven had been purely civilian in nature: however, after their successes, BSFEG began developing rockets with military capability.

From a purely representation theoretic point of view, we'd have to study all of the representations, but we are interested in applications to quantum mechanics here.

From a purely psychological viewpoint, Punch's character could be seen as an individual who has quite literally split his personality in half with all of the positive qualities which make Punch who he is as an Autobot warrior making up the light side of his personality, his conscious mind and his very spark and his minor alternate personality of Counterpunch being made up of all the negative qualities which make Punch who he is as a living person.

From opening on 1 July 1899, the station was named Burnham Beeches, becoming Burnham ( Bucks ) from 1 September 1930 to 5 May 1975, and then purely Burnham, although National Rail variously refers to the station as Burnham ( Bucks ) and Burnham ( Berks ).

From this, further mathematical and thermodynamic reasoning leads to another relation between classical calorimetric quantities.

From a mathematical viewpoint, continuous-time IIR LTI filters may be described in terms of linear differential equations, and their impulse responses considered as Green's functions of the equation.

From 1950 to 1955, Simon studied mathematical economics and during this time, together with David Hawkins, discovered and proved the Hawkins – Simon theorem on the “ conditions for the existence of positive solution vectors for input-output matrices.

From ancient times through the Middle Ages, bursts of mathematical creativity were often followed by centuries of stagnation.

From this point on he developed a mathematical approach to expressions of symmetry in his art works.

From this, physically discernible concepts were isolated from the mathematical complexity.

From a mathematical point of view, a function of n arguments can always be considered as a function of one single argument which is an element of some product space.

From a mathematical standpoint, an unused gene ( selectively neutral ) has a steadily decreasing probability of retaining potential functionality over time.

From 1911 he collaborated with J. E. Littlewood, in extensive work in mathematical analysis and analytic number theory.

From the perspective of the mathematical modeller, " flocking " is the collective motion of a large number of self-propelled entities and is a collective animal behavior exhibited by many living beings such as birds, fish, bacteria, and insects.

From 1822 to 1872, he frequently communicated papers to the Royal Society, many of them on mathematical subjects.

From there analogy was understood as identity of relation between any two ordered pairs, whether of mathematical nature or not.

From his experimental work with Hodgkin, Huxley developed a set of differential equations that provided a mathematical explanation for nerve impulses — the " action potential ".

* Moses Schönfinkel, 1924, " Über die Bausteine der mathematischen Logik ," translated as " On the Building Blocks of Mathematical Logic " in From Frege to Gödel: a source book in mathematical logic, 1879 – 1931, Jean van Heijenoort, ed.

From 1912 to 1917, he wrote and published seven papers on mathematical theories of climate both on the Earth and on the other planets.

From a mathematical view the Z-transform can also be viewed as a Laurent series where one views the sequence of numbers under consideration as the ( Laurent ) expansion of an analytic function.

From a mathematical perspective, the diagrams are a concise way to represent multilinear functions and functions between representations of matrix groups.

From the perspective of the mathematical modeller, it is an emergent behaviour arising from simple rules that are followed by individuals and does not involve any central coordination.

From 1716 to 1718, Swedenborg published a scientific periodical entitled Daedalus Hyperboreus (" The Northern Daedalus "), a record of mechanical and mathematical inventions and discoveries.

From 1972 onwards, with the launch and growing use of scientific calculators, most mathematical tables went out of use.

From 1919 to June 1921, Emil pursued mostly mathematical studies at Leipzig.

From his letters, it is clear he was treated like royalty by the Japanese mathematical community, and was charmed by the country.

From a mathematical point of view, soap films are considered as minimal surfaces.