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Alation

Definitions

  • Webster's Revised Unabridged Dictionary
    • n Alation The state of being winged.
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Century Dictionary and Cyclopedia
    • n alation A winged condition; the state of being winged or of having wings, as a bat, or parts resembling wings, as a plant.
    • n alation The manner of formation or disposition of the wings, especially in insects.
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Etymology

Webster's Revised Unabridged Dictionary
F., fr. L. alatus, winged

Usage

In literature:

Si nubat, quam si domi concubinam alat.
"The Anatomy of Melancholy" by Democritus Junior
Cells sub-globular, compressed, more or less alate.
"Narrative Of The Voyage Of H.M.S. Rattlesnake, Commanded By The Late Captain Owen Stanley, R.N., F.R.S. Etc. During The Years 1846-1850. Including Discoveries And Surveys In New Guinea, The Louisiade Archipelago, Etc. To Which Is Added The Account Of Mr. E.B. Kennedy's Expedition For The Exploration Of The Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist To The Expedition. In Two Volumes. Volume 1." by John MacGillivray
Associated Words: alary, alate, alation, elytra, neuration, shard.
"Putnam's Word Book" by Louis A. Flemming
Alat, my horse, floundered badly at an angle of forty-five degrees and lost his balance completely.
"The Land of the Black Mountain" by Reginald Wyon
Alate -us: winged; with lobes similar to wings in appearance though not necessarily in function.
"Explanation of Terms Used in Entomology" by John. B. Smith
Tinac-dag Alat or Minuiniata Small basket for collecting eggs.
"The Inhabitants of the Philippines" by Frederic H. Sawyer
DECURRENS, Engelm., a large form with the leaves alate-decurrent upon the stem and branches.
"The Manual of the Botany of the Northern United States" by Asa Gray
Alat, my chestnut, was very cheerful after his long rest, but the steep path soon tamed him.
"Through the Land of the Serb" by Mary Edith Durham
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In science:

Finally, we need the following variant of Barb˘alat’s Lemma shown in .
Bounded-From-Below Solutions of the Hamilton-Jacobi Equation for Optimal Control Problems with Exit Times: Vanishing Lagrangians, Eikonal Equations, and Shape-From-Shading
Barb˘alat’s Lemma combined with either reachability or detectability arguments can be used to show convergence of internal states to zero.
A notion of passivity gain and a generalization of the "secant condition" for stability
Finally, as z is a tra jectory of a semiflow in finite dimensions, we must have that z (t) → 0, by a Barb˘alat’s Lemma type of argument (see e.g. ).
A notion of passivity gain and a generalization of the "secant condition" for stability
V is the volume, Σ the chiral condensate, alat the lattice spacing and W8 the LEC.
Individual Eigenvalue Distributions for the Wilson Dirac Operator
To simplify the proof we first make a number of definitions (see ): first of all, let ALat be the category of algebraic lattices.
Predicative toposes
The resulting category will be denoted by Asm[ALat].
Predicative toposes
We will write Mod[ALat] for the full subcategory of Asm[ALat] whose ob jects are the modest assemblies over ALat (this category is equivalent to the category of equilogical spaces).
Predicative toposes
Using that ALat is cartesian closed and has finite disjoint sums, it is easy to see that both Asm[ALat] and Mod[ALat] are categories which are locally cartesian closed, lextensive and regular.
Predicative toposes
The ex/lex-completion of the category of T0 -spaces cannot be a topos, because it is not well-powered: in fact, the category Mod[ALat] already fails to be well-powered (see ), so the same applies to its ex/reg-completion.
Predicative toposes
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