Totum diem acriter pugnatum est.
"Latin for Beginners" by Benjamin Leonard D'Ooge
His mihi submotae, vel si minus acriter utar, Quod faciam, superest, praeter amare, nihil.
"The History of Chivalry, Volume I (of 2)" by Charles Mills
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Deﬁne Acrit to be the set of points in A such that ω ′ is orthogonal to c, and Areg := A \ A1 .
Definably complete and Baire structures and Pfaffian closure
After a further cell decomposition, w.l.o.g. we can assume that either A = Areg , or A = Acrit .
Definably complete and Baire structures and Pfaffian closure
If instead A = Acrit , for every t ∈ K let B (t) := {x ∈ A : p(x) = t}: each B (t) is a K0 -deﬁnable set of dimension d − 1.
Definably complete and Baire structures and Pfaffian closure
With respect to these coordinates, the section bu is the constant section at (acrit , 0, 0).
An invariant of link cobordisms from symplectic Khovanov homology
At (acrit , 0, 0) the tangents to {a3 − ad + bc = z} are u∗X (F ) ⊕ u∗X (F −1 ), since pro ja is critical (so no tangent has a component in the a–direction).
An invariant of link cobordisms from symplectic Khovanov homology
When a(t ) ≡ acrit = r0/3 the model will begin to collapse (because ¨a ≥ −a/2, which signals a maximum in the a versus t plot).
Geometrical constraints on dark energy models
The nuclearites would decrease in A in successive interactions with air nuclei until reaching some critical value, Acrit ∼ 320, below which they disintegrate into nucleons.
Search for "light" magnetic monopoles
There exists an error threshold in this case, which is given by the critical value Acrit = 3µ, as shown in Eqs. (57), (58) and displayed in Fig. 3.
Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states
One may compare this result with the error threshold observed in the binary alphabet case, which is Acrit = µ.
Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states
The system experiences a ﬁrst order phase transition at Acrit = A0 e(h−1)µ .
Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states
Global theory of one-frequency Schr¨odinger operators II: acriticality and the ﬁniteness of phase transitions.
Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators
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