The crescent is employed as a charge in heraldry, with its horns vertical; when they are turned to the dexter side of the shield, it is called increscent, when to the sinister, decrescent.
The products in question may be obtained by permuting in every possible manner the columns (or the lines) of the determinant, and then taking for the factors the n elements in the dexter diagonal.
Up at the end of the Dexter Creek road—left at the fork, at the very end.
Both had driven up the Dexter Creek Road and knew the location.
The Dexter Creek Road departed from the highway a few miles north of town and climbed sharply up the eastern escarpment of the valley.
Dexter "a Congregationalized Presbyterianism or a Presbyterianized Congregationalism."
Whether the division of the lobus dexter into two divisions - (i) lobus dexter proper and (2) lobus quadratus, as in modern anatomical nomenclature - was also assumed in Babylonian hepatoscopy, is not certain, but the groove separating the right lobe into two sections - the fossa venae umbilicalis - was recognized and distinguished by the designation of "river of the liver."
In 1869-1879 he was professor of Hebrew in the Southern Baptist Theological Seminary (first in Greenville, South Carolina, and after 1877 in Louisville, Kentucky), and in 1880 he became professor of Hebrew and Oriental languages in Harvard University, where until 1903 he was also Dexter lecturer onzbiblical literature.
Dexter, Spiritualism (New York, 1853-1855); R.
The sections provided for cattle are properly restricted to what may be termed the beef breeds; in the catalogue order they are Devon, South Devon, Hereford, Shorthorn, Sussex, Red Polled, Aberdeen-Angus, Galloway, Welsh, Highland, Cross-bred, Kerry and Dexter, and Small Cross-bred.
Other cattle societies, all well caring for the interest of their respective breeds, are the Shorthorn Society of Great Britain and Ireland, the Lincolnshire Red Shorthorn Association, the Hereford Herd Book Society, the Devon Cattle Breeders' Society, the South Devon Herd Book Society, the Sussex Herd Book Society, the Longhorned Cattle Society, the Red Polled Society, the English Guernsey Cattle Society, the English Kerry and Dexter Cattle Society, the Welsh Bla.
1890, p. 490) that exp(mldl +m2d2+m3d3+...) = exp (Midi +M2d2+M3d3+...), where now the multiplications on the dexter denote successive operations, provided that pp t exp(MiE+M2 2+M3E3+...) +mlH+m2V+m3S3+..., being an undetermined algebraic quantity.
Petronius Dexter, bishop of Clusium, who died in A.D.
Dexter became, with Williams and Clarke, a leading statesman in Rhode Island and Providence Plantations.
Of the first decade, some thirty in number, are with one exception derived, more or less directly, from a single archetype, viz., the recension made in the 4th century by the two Nicomachi, Flavianus and Dexter, and by Victorianus.
Dexter, who quotes largely from Dr Stiles's Itineraries, a daily account of his travels; the Diary gives a valuable picture of the life of New England in 1769-1795 and many interesting estimates of Stiles's contemporaries.
'This implies the theorem that a given arrangement can be derived from the primitive arrangement only by an odd number, or else only by an even number of interchanges, - a of which may be easily obtained from the theorem (in fact a particular case of the general one), an arrangement can be derived from itself only by an even number of interchanges.] And this being so, each product has the sign belonging to the corresponding arrangement of the columns; in particular, a determinant contains with the sign + the product of the elements in its dexter diagonal.
It may be added, that if the lines are converted into columns, and the columns into lines, in such a way as to leave the dexter diagonal unaltered, the value of the determinant is unaltered; the determinant is in this case said to be transposed.
By what precedes it appears that there exists a function of the n 2 elements, linear as regards the terms of each column (or say, for shortness, linear as to each column), and such that only the sign is altered when any two columns are interchanged; these properties completely determine the function, except as to a common factor which may multiply all the terms. If, to get rid of this arbitrary common factor, we assume that the product of the elements in the dexter diagonal has the coefficient + 1, we have a complete definition of the determinant, and it is interesting to show how from these properties, assumed for the definition of the determinant, it at once appears that the determinant is a function serving for the solution of a system of linear equations.
A determinant is symmetrical when every two elements symmetrically situated in regard to the dexter diagonal are equal to each other; if they are equal and opposite (that is, if the sum of the two elements be = o), this relation not extending to the diagonal elements themselves, which remain arbitrary, then the determinant is skew; but if the relation does extend to the diagonal terms (that is, if these are each = o), then the determinant is skew symmetrical; thus the determinants a, h, g a, v, - µ 0, v, - h, b, f - v, h, - v, 0, g,f,c c 12, - X, o are respectively symmetrical, skew and skew symmetrical: =0; a,b,c,d a' b' c' d'a" b c d" a, b, c, d a' b' c' d'a", b N' c N' dN,, , c d The theory admits of very extensive algebraic developments, and applications in algebraical geometry and other parts of mathematics.
On Fort Johnson, on James Island in Charleston harbour, he raised what is said to have been the first American battle-flag - blue, with a white crescent in the dexter corner, inscribed with the word "Liberty"; the flag was devised by him in September 1775.
We find in the Babylonian-Assyrian omen-texts special designations for the three main lobes of the sheep's liver - the lobus dexter, the lobus sinister and the lobus caudatus; the first-named being called "the right wing of the liver," the second "the left wing of the liver," and the third "the middle of the liver."
1665) and Gregory Dexter as leading members.