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From the point of view of synthetic geometry it was considered that projective geometry should be developed using such propositions as axioms.
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From and point
One, a reservation on the point I have just made, is the phenomenon of pseudo-thinking, pseudo-feeling, and pseudo-willing, which Fromm discussed in The Escape From Freedom.
From the point of view of popularity the best-known member of the Commission was Walter Camp, the Yale athlete whose sobriquet was `` the father of American football ''.
From this point of view the `` militant mobs '' of the past, stirred into action by one ideology or another, were all composed of `` intellectuals '' -- and this is not the level on which the essence of mankind can be discovered.
From the moment of the occupation Lublin became a focal point.
From this point, I paint in as direct a manner as possible, by flowing on the washes with as pure a color mixture as I can manage.
From the manufacturer's point of view, the increasing cost of advertising and promotion is a very real problem to be faced in the sixties.
From the point of view of the applicants, less time was wasted in being evaluated -- and they got a meal out of it as well as some insights into their performances.
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 the point of view of word formation real might be expected to have two syllables.
From the rather tortuous history of electoral planning in Morocco an important point emerges concerning the first elections in a developing country and evaluating their results.
From that point on he said he went to the post office and then walked leisurely to where his niece was staying, more than a mile away.
From the lioness' point of view, this strange creature on the back of another creature, lashing out with its long thin paw, very likely appeared as something she could not at first cope with.
From an economic point of view, the order Asparagales is second in importance within the monocots to the order Poales ( which includes grasses and cereals ).
From this point on he establishes himself as a psychological detective who proceeds not by a painstaking examination of the crime scene, but by enquiring either into the nature of the victim or the psychology of the murderer.
From this point, his mother and stepfather took a more active role in raising him.
From an artistic point of view, he was most successful in portrait-statues and groups of children, where he was obliged to follow nature most closely.
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 a strictly aerodynamic point of view, the term should refer only to those side-effects arising as a result of the changes in airflow from an incompressible fluid ( similar in effect to water ) to a compressible fluid ( acting as a gas ) as the speed of sound is approached.
From that point on, the show was a success.
From a political point of view, there is a trade-off between Bulgaria's economic growth and the stability required for early accession to the monetary union.
From a philosophical point of view, what makes the brain special in comparison to other organs is that it forms the physical structure that generates the mind.
From south to north, Broadway at one point or another runs over or under the IRT Lexington Avenue Line, the BMT Broadway Line, the IRT Broadway – Seventh Avenue Line, and the IND Eighth Avenue Line:
From and view
File: View From the Ponte Vecchio of the River Arno. jpg | The view of the Arno from the Ponte Vecchio
From a strategic point of view, the Athenians had some disadvantages at Marathon.
From a bibliographical point of view some of the early printed Breviaries are among the rarest of literary curiosities, being merely local.
From the local point of view time stops at the horizon, whereas from the global point of view time extends beyond it, and surfaces of constant time cross the horizon.
From the point of view of State-centric law, extraordinary procedures ( usually international courts ) may prosecute such crimes.
From the peak's platform the panoramic view includes downtown Rio, Sugarloaf Mountain, the Lagoa Rodrigo de Freitas ( lake ), Copacabana and Ipanema beaches, Estádio do Maracanã ( Maracanã Stadium ), and several of Rio's favelas.
From an architectural point of view, this arrangement could provide better floor area utilisation, offering an internal column-free office area with a clear depth of 9 to 13. 4 metres and an overall usable floor area efficiency of 81 %.
From a geometrical point of view, looking at the states of each variable of the system to be controlled, every " bad " state of these variables must be controllable and observable to ensure a good behaviour in the closed-loop system.
From the view of the citizens, these vicars were cruel and petty.
From a linguistic point of view, Bokmål and Danish are the same language.
From the point of view of differential topology, the donut and the coffee cup are the same ( in a sense ).
From and synthetic
From January to March the Observatory offers what is claimed as the world's highest ice skating rink, using a synthetic surface that enables the use of standard ice skates at normal room temperature.
From the early 1970s C. Itoh & Co., was a major supplier of synthetic yarn ( polyester ) to India's Reliance Industries Limited.
From the early 1900s a wider range of synthetic colors became available to Tibetan weavers, and this seems to have stimulated the production of new and more complex designs, also based loosely on traditional Chinese motifs.
From there the interlaced image can be printed directly to the back ( smooth side ) of the lens or it can be printed to a substrate ( ideally a synthetic paper ) and laminated to the lens.
From a synthetic perspective, there are two important types of molecular machines: molecular switches ( or shuttles ) and molecular motors.
From the end of the 19th century until the 1950s, Trévoux was the global capital of the manufacture of synthetic diamonds.
From and geometry
From left to right, the square ( geometry ) | square, the cube, and the tesseract.
From the point of view of differential geometry, the coffee cup and the donut are different because it is impossible to rotate the coffee cup in such a way that its configuration matches that of the donut.
From then until December of that year, he lectured on analytical geometry and on descriptive geometry.
From the geometry of the above figure we have:
From this perspective, geometry is equivalent to an axiomatic algebra, replacing its elements by symbols.
From there, Euclidean geometry could be restructured, placing the fifth postulate among the theorems instead.
From the nineteenth century there is not a separate curve theory, but rather the appearance of curves as the one-dimensional aspect of projective geometry, and differential geometry ; and later topology, when for example the Jordan curve theorem was understood to lie quite deep, as well as being required in complex analysis.
From top to bottom: a spherical geometry | spherical universe with Ω > 1, a hyperbolic geometry | hyperbolic universe with Ω < 1, and a Euclidean geometry | flat universe with Ω = 1.
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 the geometry of Figure 1 we have
From the geometry of Figure 1 we have
From its beginning in topology, this idea became a dominant method in the mathematics of the second half of the twentieth century ; from the initial idea of homology as a topologically invariant relation on chains, the range of applications of homology and cohomology theories has spread out over geometry and abstract algebra.
From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variables and then commutative algebra and algebraic geometry, in the context of sheaf theory and homological algebra techniques.
Szmielew considers Desarguean as well as Pappian affine plane in the third chapter of From affine to Euclidean geometry.
From the point of view of birational geometry, its function field is the fixed field of the symmetric group on g letters acting on the function field of C < sup > g </ sup >.
From left to right: a surface of negative Gaussian curvature ( hyperboloid ), a surface of zero Gaussian curvature ( cylinder ( geometry ) | cylinder ), and a surface of positive Gaussian curvature ( sphere ).
From this perspective, the transformation properties of flat conformal space are those of inversive geometry.
From this point onwards there was a foundational theory, which could be applied to analytic geometry ( a name adopted, confusingly, for the geometry of zeroes of analytic functions — this is not the analytic geometry learned at school ), automorphic forms of several variables, and partial differential equations.
From the point of view of the Erlangen program, one may understand that " all points are the same ", in the geometry of X.
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