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pth

A consolidation was effected in 1793, but the lavish issue of assignats destroyed whatever advantage might have accrued, and the debt was again dealt with by a law of the pth of Vendmiaire year VI: (27th of September 1797), the annual interest paid yearly to creditors then amounting to 40,216000 francs (~i,6oo,ooo).

00To find the pth moment, when uo, u l, u 2, ...

00In cases other than those described in § 82, the pth moment with regard to the axis of u is given by Pp = XPrA where A is the total area of the original trapezette, and S 2 _ 1 is the area of a trapezette whose ordinates at successive distances h, beginning and ending with the bounding ordinates, are o, x1P -1A, x2 P-1 (AI+AI),.

00y where K-=4, X qth moment with regard to plane y =o, Lm yn X pth moment with regard to plane x =o, and R is the volume of a briquette whose ordinate at (x,.,y s) is found by multiplying by pq x r P - 1 ys 4-1 the volume of that portion of the original briquette which lies between the planes x =xo, y =yo, y = ys.

00Gergonne had shown that when a number of the intersections of two curves of the (p+q)th degree lie on a curve of the pth degree the rest lie on a curve of the qth degree.

00pth power of n, the series itself being called the power-series.

00If we know p and N, n is called the pth root of N, so that n is the second (or square) root of n 2, the third (or cube) root of n 3, the fourth root of n 4,.

00The pth root of a number (§43) may, if the number is an integer, be found by expressing it in terms of its prime factors; or, if it is not an integer, by expressing it as a fraction in its lowest terms, and finding the pth roots of the numerator and of the denominator separately.

00A number of this kind is called a surd; the surd which is the pth root of N is written ¦JN, but if the index is 2 it is usually omitted, so that the square root of N is written, /N.

00More generally, if we have obtained a as an approximate value for the pth root of N, the binomial theorem gives as an approximate formula p,IN =a+6, where N = a P + pap - 19.

00PTH assay was either elevated or inappropriately normal for the serum calcium in all patients tested.

00Drugs that may decrease PTH include cimetidine and propranolol.

00PTH levels and urinary citrate excretion may have been important in a small subset of kindreds.

00A consolidation was effected in 1793, but the lavish issue of assignats destroyed whatever advantage might have accrued, and the debt was again dealt with by a law of the pth of Vendmiaire year VI: (27th of September 1797), the annual interest paid yearly to creditors then amounting to 40,216000 francs (~i,6oo,ooo).

00To find the pth moment, when uo, u l, u 2, ...

00In cases other than those described in § 82, the pth moment with regard to the axis of u is given by Pp = XPrA where A is the total area of the original trapezette, and S 2 _ 1 is the area of a trapezette whose ordinates at successive distances h, beginning and ending with the bounding ordinates, are o, x1P -1A, x2 P-1 (AI+AI),.

00y where K-=4, X qth moment with regard to plane y =o, Lm yn X pth moment with regard to plane x =o, and R is the volume of a briquette whose ordinate at (x,.,y s) is found by multiplying by pq x r P - 1 ys 4-1 the volume of that portion of the original briquette which lies between the planes x =xo, y =yo, y = ys.

00Gergonne had shown that when a number of the intersections of two curves of the (p+q)th degree lie on a curve of the pth degree the rest lie on a curve of the qth degree.

00pth power of n, the series itself being called the power-series.

00If we know p and N, n is called the pth root of N, so that n is the second (or square) root of n 2, the third (or cube) root of n 3, the fourth root of n 4,.

00The pth root of a number (§43) may, if the number is an integer, be found by expressing it in terms of its prime factors; or, if it is not an integer, by expressing it as a fraction in its lowest terms, and finding the pth roots of the numerator and of the denominator separately.

00A number of this kind is called a surd; the surd which is the pth root of N is written ¦JN, but if the index is 2 it is usually omitted, so that the square root of N is written, /N.

00More generally, if we have obtained a as an approximate value for the pth root of N, the binomial theorem gives as an approximate formula p,IN =a+6, where N = a P + pap - 19.

00

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