Help


[permalink] [id link]
+
Page "Diophantine equation" ¶ 35
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

central and idea
The idea of a central tank with lines to each house is not in itself a novelty.
In his analysis, however, he touches upon but fails to explore an idea, generally neglected in discussions of the book, which I believe is central to its art -- the importance of human hands as a recurring feature of the narrative.
The central idea of the book of Amos is that God puts his people on the same level as the surrounding nations-God expects the same purity of them all.
One of the central themes of Acts, indeed of the New Testament ( see also Great Commission ) is the universality of Christianity — the idea that Jesus's teachings were for all humanity — Jews and Gentiles alike.
In it Heschel forwards what would become a central idea in his theology: that the prophetic ( and, ultimately, Jewish ) view of God is best understood not as anthropomorphic ( that God takes human form ) but rather as anthropopathic — that God has human feelings.
He adumbrated a school of thought that is known as Critical Rationalism with a central tenet being the rejection of the idea that knowledge can ever be justified in the strong form that is sought by most schools of thought.
Secular perennialists espouse the idea that education should focus on the historical development of a continually developing common western base of human knowledge and art, the timeless value of classic thought on central human issues by landmark thinkers, and revolutionary ideas critical to historical western paradigm shifts or changes in world view.
The division of power into separate branches of government is central to the idea of the separation of powers.
A central feature in elementary particle theory is the early 20th century idea of " quanta ", which revolutionized the understanding of electromagnetic radiation and brought about quantum mechanics.
He is widely known for use of the term " central dogma " to summarize an idea that genetic information flow in cells is essentially one-way, from DNA to RNA to protein.
By that time the military and strategic situation of Russia had become more difficult due of the rise of Germany and Japan, and Russian central administration and the idea of Pan-Slavism had grown in Saint Petersburg.
The idea of freedom ( for the theatre against the dominance of its French model ; for religion from the church's dogma ) is his central theme throughout his life.
At least one work of fiction, the film Final Fantasy: The Spirits Within, uses Gaia philosophy as a central point to the plot, and may arguably represent a fictional parallel to Sir James Lovelock in the character of Dr. Cid, who is met with skepticism from the scientific and social community when he promotes the idea of a " living Earth ".
De Camp and Ley also claim that Sir John Leslie expanded on Euler's idea, suggesting two central suns named Pluto and Proserpine ( this was unrelated to the dwarf planet Pluto, which was discovered and named some time later ).
The writer David Hatcher Childress authored Lost Continents and the Hollow Earth ( 1998 ) in which he reprinted the stories of Palmer and defended the hollow earth idea based on alleged tunnel systems beneath South America and central Asia.
With the advent of the PC, the idea was to invoke central systems only when absolutely unavoidable, and to do all application processing with local software on the personal computer.
On 21 December 1865 he was chosen vice-president of the diet, and in March 1866 became president of the sub-committee appointed by the parliamentary commission to draw up the Composition ( commonly known as the Austro-Hungarian Compromise of 1867 ) between Austria and Hungary, of which the central idea, that of the " Delegations ," originated with him.
The central idea of these theories is that language development occurs through the incremental acquisition of meaningful chunks of elementary constituents, which can be words, phonemes, or syllables.
The school's central idea is given as training to use the twin swords of the samurai as effectively as a pair of sword and jutte.
Categories can represent words, ideas, tasks, or other items related to a central key word or idea.
Kaplan's central idea of understanding Judaism as a religious civilization was an easily accepted position within Conservative Judaism, but his naturalistic conception of God was not as acceptable.
The modern predictive approach was pioneered by Bruno de Finetti, with the central idea of exchangeability – that future observations should behave like past observations.
The central argument of the book is an expansion of the utilitarian idea that " the greatest good of the greatest number " is the only measure of good or ethical behaviour.
The idea of personal Biblical interpretation, while central to Puritan beliefs, was shared with most Protestants in general.

central and Diophantine
It is a central principle of Diophantine geometry to study solutions of polynomials equations in number fields by looking at their solutions in the larger complete adele ring, where it is generally easier to detect solutions, and then deciding which of them come from the number field.

central and geometry
Alexander Grothendieck (; ; born 28 March 1928 ) is a mathematician and the central figure behind the creation of the modern theory of algebraic geometry.
The central uplift is not the result of elastic rebound, which is a process in which a material with elastic strength attempts to return to its original geometry ; rather the collapse is a process in which a material with little or no strength attempts to return to a state of gravitational equilibrium.
In advanced mathematics, polynomials are used to construct polynomial rings, a central concept in abstract algebra and algebraic geometry.
A propagating surface-wave mode that does not involve or require the outer shield but only a single central conductor also exists in coax but this mode is effectively suppressed in coax of conventional geometry and common impedance.
In spherical geometry, the shortest distance between two points is an arc of a great circle, but the triangle inequality holds provided the restriction is made that the distance between two points on a sphere is the length of a minor spherical line segment ( that is, one with central angle in π ) with those endpoints.
The Noetherian property is central in ring theory and in areas that make heavy use of rings, such as algebraic geometry.
The central ridge produced by this angular geometry is known as a riser.
Projective geometry formalizes one of the central principles of perspective art: that parallel lines meet at infinity, and therefore are drawn that way.
Algebraic sets and algebraic varieties are the central objects of study in algebraic geometry.
Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory ( orthogonal group ), differential geometry ( Riemannian metric ), differential topology ( intersection forms of four-manifolds ), and Lie theory ( the Killing form ).
In each geometry, the central vertical axis comprises the neutral, achromatic, or gray colors, ranging from black at lightness 0 or value 0, the bottom, to white at lightness 1 or value 1, the top.
They are also one of the central notions of commutative algebra and homological algebra, and are used widely in algebraic geometry and algebraic topology.
In general relativity Eddington – Finkelstein coordinates, named for Arthur Stanley Eddington and David Finkelstein, are a pair of coordinate systems for a Schwarzschild geometry which are adapted to radial null geodesics ( i. e. the worldlines of photons moving directly towards or away from the central mass ).
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point.
The imperial Palace complex consists of a number of independent pavilions arranged in formal geometry on a piece of level ground, a pattern derived from Arab and central Asian tent encampments.
Under the standard duality of plane projective geometry ( where points correspond to lines and collinearity of points corresponds to concurrency of lines ), the statement of Desargues's theorem is self-dual: axial perspectivity is translated into central perspectivity and vice versa.
* One of the central themes of algebraic geometry is the duality of the category of affine schemes and the category of commutative rings.
The differential geometric properties of a curve ( length, Frenet frame and generalized curvature ) are invariant under reparametrization and therefore properties of the equivalence class. The equivalence classes are called C < sup > r </ sup > curves and are central objects studied in the differential geometry of curves.
The central assumption of such an approach is that structures of interest / organs have a repetitive form of geometry.
He changed the central basin's geometry so that it was no longer a segment of circle ; he converted the southern straight edge into a polygonal shape with three edges and inserted a gulf on the northern shore.
He found that the ring was slightly egg-shaped with a complex geometry of circles and ellipses which could be set out around a central triangle, using sizes which are close to whole multiples of what he called the Megalithic yard.

0.664 seconds.