Greek Kinship Terminology

1953 ◽  
Vol 73 ◽  
pp. 46-52 ◽  
Author(s):  
M. Miller

Classical Greek kinship terminology, as it is used for example by Isaios, offers few difficulties of meaning in its terms, and describes a bilateral family rather like our own. The principal usages mav be shown in genealogical form as follows:The noteworthy terms are: (i) kedestes, (2) anepsios, anepsiadous, exanepsios, and (3) adelphos and adelphe. Kedestes is applicable to any male who is a close relative by marriage, but who does not belong to the circle of heirs within the anchisteia: the term thus covers our father-in-law, stepfather, brother-in-law, and son-in-law. The close association of the term with words for ‘mourning’ suggests that this name arose from the duties performed in the funerals of members of their wives' anchisteia, even though they were outside the circle of heirs. The terms pentheros and gambros are, apparently, influenced by the usage of kedestes, and tend to the same classificatory employment. The meaning of nyos similarly tends to wander. Anepsios varies between cousin-german and nephew, and each of these relationships also has its exact term, in both cases a compound of adelphos. Anepsiadous and its synonym anepsiou pais are used not only for the cousin's child (the first cousin once removed), but also for Ego's parent's cousin (also a first cousin once removed): so Theopompos, the mother's cousin and heir of Hagnias, calls himself anepsiou pais to Hagnias. The exanepsios was outside the Attic anchisteia, and the term is rarely found. The terms for blood relatives are of the common IE vocabulary except adelphos and adelphe, which have replaced phrater (surviving to mean ‘member of a phratry’), and the lexicographers' eor.

1987 ◽  
Vol 19 (2) ◽  
pp. 454-473 ◽  
Author(s):  
E. G. Coffman ◽  
L. Flatto ◽  
R. R. Weber

We model a selection process arising in certain storage problems. A sequence (X1, · ··, Xn) of non-negative, independent and identically distributed random variables is given. F(x) denotes the common distribution of the Xi′s. With F(x) given we seek a decision rule for selecting a maximum number of the Xi′s subject to the following constraints: (1) the sum of the elements selected must not exceed a given constant c > 0, and (2) the Xi′s must be inspected in strict sequence with the decision to accept or reject an element being final at the time it is inspected.We prove first that there exists such a rule of threshold type, i.e. the ith element inspected is accepted if and only if it is no larger than a threshold which depends only on i and the sum of the elements already accepted. Next, we prove that if F(x) ~ Axα as x → 0 for some A, α> 0, then for fixed c the expected number, En(c), selected by an optimal threshold is characterized by Asymptotics as c → ∞and n → ∞with c/n held fixed are derived, and connections with several closely related, well-known problems are brought out and discussed.


1918 ◽  
Vol 37 ◽  
pp. 18-49
Author(s):  
James Littlejohn

The solution of the common quadraticwhich is usually writtenis, when expanded,This expansion will be found to be the work of the operator each term being derived from its predecessor by this operator's agency, so that the whole solution may be written


1905 ◽  
Vol 40 (1) ◽  
pp. 187-201
Author(s):  
Thomas Muir

(l) Cayley in his paper entitled “Note sur l'addition des fonctions elliptiques” obtains among other similar things an expression forin terms ofwhereThe form of the expression is the quotient of two determinants, and as the expression becomes useless for such cases as u = v, u = w, … on account of the simultaneous vanishing of numerator and denominator, he is led to seek a means of throwing out the common evanescent factors.


1888 ◽  
Vol 7 ◽  
pp. 2-3
Author(s):  
Tait

If ρ be the vector of a corner of a square in one system, σ that in a system derived without inversion, we must obviously havek being the unit-vector perpendicular to the common plane.


The Geologist ◽  
1858 ◽  
Vol 1 (2) ◽  
pp. 60-64
Author(s):  
S. J. Mackie

More things remain to be spoken of fossils; wonders of skill to be presented in their construction and design; marvels of mechanical devices for progression, for strength, for lightness, or for protection to be displayed; and consummate wisdom and benevolent forethought to be exhibited in their adaptation to the various purposes for which they were created—in fact, as much as we find to admire or to consider in the structure of existing animals or plants, in their means of developement or of growth, in the influences of climate and seasons upon them, so much also do we find for equal admiration and reflection in those ancient “medals” of past creations.Even contorted and damaged fossils are not without their evidences.Squeezed on either side or flattened, they do not merely ndicate the pressure to which they have been subjected, but the direction also from which it came. Everything connected with fossils is of high interest; but from first to last the value of fossils is in their teachings; and it is never by pounds, shillings, and pence that we can value them at all. In such a light they are but worthless bits of stone, as fit to mend the roads as to be saved. To minds that esteem them thus, they are no treasures, but merely merchandise. Properly studied, however, they convey their lessons of the past; and when regarded as letters in the vast and holy book of Nature, which must ever be read with solemnity and reverence, they take their places properly in the great sentences and wonderful passages of that mysterious language from which Geology interprets the order, wisdom, goodness, and prescience displayed in the animated worlds that were. It is thus we shall have attained to the true knowledge of the value of fossils, when we shall turn from such readings with adoration to the Great Author of all.


2017 ◽  
Vol 101 (550) ◽  
pp. 38-49
Author(s):  
Graham Jameson ◽  
Nick Lord

Catalan's constant, named after E. C. Catalan (1814-1894) and usually denoted by G, is defined byIt is, of course, a close relative ofThe numerical value is G ≈ 0.9159656. It is not known whether G is irrational: this remains a stubbornly unsolved problem. The best hope for a solution might appear to be the method of Beukers [1] to prove the irrationality of ζ (2) directly from the series, but it is not clear how to adapt this method to G.


2018 ◽  
Author(s):  
Zelin Chen ◽  
Yoshihiro Omori ◽  
Sergey Koren ◽  
Takuya Shirokiya ◽  
Takuo Kuroda ◽  
...  

SummaryFor over a thousand years throughout Asia, the common goldfish (Carassius auratus) was raised for both food and as an ornamental pet. Selective breeding over more than 500 years has created a wide array of body and pigmentation variation particularly valued by ornamental fish enthusiasts. As a very close relative of the common carp (Cyprinus carpio), goldfish shares the recent genome duplication that occurred approximately 14-16 million years ago (mya) in their common ancestor. The combination of centuries of breeding and a wide array of interesting body morphologies is an exciting opportunity to link genotype to phenotype as well as understanding the dynamics of genome evolution and speciation. Here we generated a high-quality draft sequence of a “Wakin” goldfish using 71X PacBio long-reads. We identified 70,324 coding genes and more than 11,000 non-coding transcripts. We found that the two sub-genomes in goldfish retained extensive synteny and collinearity between goldfish and zebrafish. However, “ohnologous” genes were lost quickly after the carp whole-genome duplication, and the expression of 30% of the retained duplicated gene diverged significantly across seven tissues sampled. Loss of sequence identity and/or exons determined the divergence of the expression across all tissues, while loss of conserved, non-coding elements determined expression variance between different tissues. This draft assembly also provides an important resource for comparative genomics with the very commonly used zebrafish model (Danio rerio), and for understanding the underlying genetic causes of goldfish variants.


1966 ◽  
Vol 3 (01) ◽  
pp. 272-273 ◽  
Author(s):  
H. Robbins ◽  
E. Samuel

We define a natural extension of the concept of expectation of a random variable y as follows: M(y) = a if there exists a constant − ∞ ≦ a ≦ ∞ such that if y 1, y 2, … is a sequence of independent identically distributed (i.i.d.) random variables with the common distribution of y then


1974 ◽  
Vol 26 (4) ◽  
pp. 985-1001 ◽  
Author(s):  
John J. Benedetto

In this paper we develop a natural notion of continuous pseudo-measure and study the Stieltjes integral with respect to a given pseudo-measure. The common feature to these two topics is the essential appearance in both of integrals having the formSuch integrals come about naturally when one defines the energy of distributions other than measures [6]. The reasons to study continuous pseudo-measures are to find properties analogous with those of continuous measures, and to discover more about the structure of pseudo-measures because of their importance in harmonic analysis, and particularly in spectral synthesis (e.g., [4;15]). The Stieltjes integral with respect to a pseudo-measure is studied because of its intimate relation with spectral synthesis (e.g., §5); the key observations on this matter were initially made by Beurling [6].


1926 ◽  
Vol 23 (3) ◽  
pp. 269-283
Author(s):  
P. A. Taylor

We may summarize our conclusions as follows. If the rotating doublets have quite different angular velocities initially, then they repel each other with a force (R) given bywhereandø1 and ψ1 being the (constant) angular velocities of the two doublets.If the doublets have the same angular velocities initially, and the same moments of inertia, then over a certain range of r we havewhereand ω is the common value of the angular velocities of the doublets. When the doublets correspond to hydrogen atoms in their principal quantum orbits, the range of distance becomes 5 Å. to 50 Å. and the formula for R reduces toThis is a law of force of the type found empirically by Lennard-Jones for helium, neon, and argon. The attractive term in this formula is larger than the attractive terms found by Lennard-Jones. The repulsive term, however, which leads to a “diameter” of 3·31 Å., is in very satisfactory agreement with the repulsive terms found by Lennard-Jones.


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