Alpha

Summary

Alpha 'ælfə (uppercase , lowercase ; ἄλφα, álpha, or álfa) is the first letter of the Greek alphabet. In the system of Greek numerals, it has a value of one. Alpha is derived from the Phoenician letter aleph , which is the West Semitic word for "ox". Letters that arose from alpha include the Latin letter A and the Cyrillic letter А. Uses Greek In Ancient Greek, alpha was pronounced ä and could be either phonemically long ([aː]) or short ([a]). Where there is ambiguity, long and short alpha are sometimes written with a macron and breve today: Ᾱᾱ, Ᾰᾰ. *ὥρα = ὥρᾱ hōrā hɔ́ːraː "a time" *γλῶσσα = γλῶσσᾰ glôssa ɡlɔ̂ːssa "tongue" In Modern Greek, vowel length has been lost, and all instances of alpha simply represent the open front unrounded vowel a. In the polytonic orthography of Greek, alpha, like other vowel letters, can occur with several diacritic marks: any of three accent symbols (ά, ὰ, ᾶ), and either of two breathing marks (ἁ, ἀ), as well as combinations of thes

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https://en.wikipedia.org/wiki/Alpha

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Stuck Walks: A Conjecture Of Erschler, Toth And Werner

Daniel Kious

In this paper, we work on a class of self-interacting nearest neighbor random walks, introduced in [Probab. Theory Related Fields 154 (2012) 149-163], for which there is competition between repulsion of neighboring edges and attraction of next-to-neighboring edges. Erschler, Toth and Werner proved in [Probab. Theory Related Fields 154 (2012) 149-163] that, for any L >= 1, if the parameter alpha belongs to a certain interval (alpha(L+1), alpha(L)), then such random walks localize on L + 2 sites with positive probability. They also conjectured that this is the almost sure behavior. We prove this conjecture partially, stating that the walk localizes on L + 2 or L + 3 sites almost surely, under the same assumptions. We also prove that, if alpha is an element of (1,+infinity) = (alpha(2), alpha(1)), then the walk localizes a.s. on 3 sites.

Inst Mathematical Statistics2016

, ,

Directional solidification experiments on Cu-Sn peritectic alloys have been conducted at very low velocity in a high-thermal-gradient Bridgman furnace. The size of the samples has been reduced in order to decrease natural convection and the associated macrosegregation. At the lowest growth rates (0.5 and 0.58 mu m s(-1)), eutectic-like alpha + beta lamellar structures have been observed in near-peritectic composition alloys over several millimeters of growth. These structures resulted from a destabilization of a band structure in which alpha- and beta-phases overlay each other. Electron backscattered diffraction measurements revealed that bands and lamellae of a solid phase are continuous and originate from a single nucleus. (C) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

Elsevier2009

We report a systematic study of the magnetoelectric (ME) voltage coefficient as a complex quantity in the particulate composite of ferroelectric solid solution 0.94Pb(Fe1/2N1/2)O-3-0.06PbTiO(3)(PFN-PT) with CoFe2O4(CFO) and NiFe2O4 (NFO) ferrites. The results show that the real part of the ME voltage coefficient (alpha') is highly influenced by the magnetostrictive phase through lambda(H). NFO produces larger alpha' at a lower magnetic field, which originates from the softer magnetic properties. In addition, alpha' was found to be positive for NFO composite, while CFO composite shows a negative ME voltage coefficient at high magnetic fields. We argue that the field dependence of alpha' can be interpreted using the dynamic piezomagnetic coefficient, q(ac) = partial derivative lambda(ac)/partial derivative H. The imaginary part of the ME voltage coefficient (alpha '') was also determined for all composites. Both the alpha' and alpha '' show a peak at the same magnetic field, which is attributed to the maximum dynamic piezomagnetism when the magnetic domains are collectively rotated by the dc bias magnetic field. Our results show that the ME voltage coefficient in the composites of PFN-PT/(Co,Ni)Fe2O4 is highly influenced by the content, magnetic softness and field dependence behaviour of magnetostriction of the piezomagnetic phase.

2019