This distinction, which seems to grant the larger, while it denies the smaller degree of authority, was founded on a very rational motive.
"The History of The Decline and Fall of the Roman Empire Volume 2" by Edward Gibbon
But the decision itself is not always motivated by rational - let alone noble - arguments.
"After the Rain" by Sam Vaknin
All becomes dark and obscure to me, and I have no longer a rational motive for hope.
"Delsarte System of Oratory" by Various
With the dawn of the rational perception of truth, right, and duty, the very highest motives begin to gain control.
"The Whence and the Whither of Man" by John Mason Tyler
Mystics honoured the post-rational motive and despised the pre-rational; positivists clung to the second and hated the first.
"The Life of Reason" by George Santayana
But there was the other motive, more powerful and far more rational to influence him to the act.
"The Ocean Waifs" by Mayne Reid
Rational motivation is almost a guarantee of this active attitude of interest.
"College Teaching" by Paul Klapper
The punitive motive was large in Mr. Smith's decision to put the couple on short rations as long as he had the power to do so.
"Clark's Field" by Robert Herrick
Possibly they are without rational motivation at all.
"Monsoons of Death" by Gerald Vance
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Let us discuss the case of Tate motives with rational coeﬃcients ﬁrst.
Mixed Artin-Tate motives with finite coefficients
As in the rational coeﬃcients case, the minimal subcategory of DM(K, Z/m) containing the Tate ob jects and closed under extensions seems to be the natural candidate for the category of mixed Tate motives.
Mixed Artin-Tate motives with finite coefficients
The case where the set of normals ν given by Theorem 1.3 is not rational motivates us to extend the Wang–Zhu Theorem for general labelled polytopes.
Toric K\"ahler-Einstein metrics and convex compact polytopes
Our work is motivated by a presentation of the intersection cohomology, similar to Sullivan’s presentation of the rational homotopy type, including the notion of minimal model, with its topological invariance (for locally conelike spaces) and a proof of the representability of intersection cohomology.
Rational Homotopy and Intersection Cohomology
Our main motivation to study the DCC on (Xi, φi )i≥1 is to address the situation where Xn has no rational points over k although it tries hard to possess a k -rational point.
Generalized Mordell curves, generalized Fermat curves, and the Hasse principle
The notion of uniformly good sections is motivated by the fact that a necessary condition for a group-theoretic section s : Gk → ΠX to be point-theoretic, i.e. arises from a k-rational point x ∈ X (k) (cf.
Around the Grothendieck Anabelian Section Conjecture
For statistical examples and motivations of the density ration model, see Qin, Cox and Ferry and Kay and Little and the references therein.
f-divergence estimation and two-sample homogeneity test under semiparametric density-ratio models
By similar arguments, it follows that a rationally connected n-fold is motivated by an (n − 2)-fold in the sense of [A1].
The Hodge conjecture for rationally connected fivefolds
Then we can deﬁne categories of motives using the varieties in S with the rational Tate classes as the correspondences, and everything in the preceding sections holds true.
Motives over F_p
By analysing the methods of Gillet and Soul´e ([GS] proof of 3.1.1) this holds if RSpb(k, d) holds and if F extends to a contravariant functor on Chow motives over k, i.e., admits an action of algebraic correspondences modulo rational equivalence.
Hasse principles for higher-dimensional fields
So the motives of using online social networks for the so called “rational users” become as simple as maintaining friendships.
Being Rational or Aggressive? A Revisit to Dunbar's Number in Online Social Networks
Let DMgm,Q be Voevodsky’s triangulated category of motivic complexes with rational coeﬃcients over C ([Voe00],[MVW06]).
On the Beilinson-Hodge conjecture for $H^2$ and rational varieties
Our approach relies on two main ingredients : the theory of upper motives of [Kar11] and some results on the rational geometry of products generalized Severi-Brauer varieties.
Upper motives of products of projective linear groups
The category Grothendieck Chow motives was introduced by Grothendieck as a linearization of the category of varieties over F, replacing a morphism of varieties f : X → Y by the algebraic cycle (modulo rational equivalence) deﬁned by its graph on the product X × Y .
Upper motives of products of projective linear groups
The next section is dedicated to the study of rational maps between such products of generalized Severi-Brauer varieties, and we will study the connections between this classical problem and the classiﬁcation of those upper p-motives in the last section.
Upper motives of products of projective linear groups
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