On the 25th of January he took charge of Llan yn Mowddwy (14 m.
ï¿½ Oxl d 2x 77n If we have new variables z such that zs=4s(yl, Y2,...yn), we have also z s =1 Y 8(x1, x2,ï¿½ï¿½ï¿½xn), and we may consider the three determinants which i s 7xk, the partial differential coefficient of z i, with regard to k .
..yn xi, and as a particular case (y1, Y2,...yn) (x1, x2,...xn) = 1.
We can solve these, assuming them independent, for the - i ratios yl, y2,...yn-iï¿½ Now a21A11 +a22Al2 ï¿½ ï¿½ ï¿½ = 0 a31A11+a32Al2 +ï¿½ ï¿½ï¿½ +a3nAln = 0 an1Al1+an2Al2 +ï¿½ï¿½ï¿½+annAln =0, and therefore, by comparison with the given equations, x i = pA11, where p is an arbitrary factor which remains constant as i varies.
Yl, y 2,...yn) (zl, z2,...zn z1, z 2, ï¿½ï¿½ï¿½zn xi, 'X' 2,...
ï¿½ ï¿½ x0 yn ï¿½ This must not be confused with the use of suffixes to denote particular terms of a series or a progression (as in ï¿½ 41 (viii.) and (ix.)).
In the applications with which we are concerned, t, n are very small quantities; and we may take P = x yn - At the same time dS may be identified with dxdy, and in the de nominator p may be treated as constant and equal to f.
Y 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.
Yn cy ieu?.
Iyn or H n ' yn), whether the resurrection embraces all men or only the righteous, whether it precedes or follows the Messianic age.
The old British tower and castle were called Castell caled fryn yn Rhos, the "castle of the hard hill in Rhos."
In the geometry of plane curves, the term parabola is often used to denote the curves given by the general equation a' n x n = ym+n, thus ax= y 2 is the quadratic or Apollonian parabola; a 2 x = y 3 is the cubic parabola, a 3 x = y4 is the biquadratic parabola; semi parabolas have the general equation ax n-1 = yn, thus ax e = y 3 is the semicubical parabola and ax 3 = y 4 the semibiquadratic parabola.
The remnant of priests fled thither (after the great massacre of Bangor-is-coed in 613, by Ethelf ride of Northumbria) by the road of the Rivals (Yn Eifl) hill, S.
The nasal mutation occurs after fy, " my," and yn, " in "; thus fy mhen, " my head " (pen, " head "), yn Nhalgarth, " at Talgarth."
Thus yr oen, " the lamb," i'r ty, " into the house," yn y ty, " in the house."
In some cases the singular is formed from the plural by the addition of -yn or -en; thus ser, " stars," seren, " star."
Yn, ein, 2.
Near Wrexham, but in a detached portion of Flintshire, to the S.E., is Bangor-is-coed (Bangor yn Maelor), the site of the most ancient monastery in the kingdom, founded before r80; some 1200 monks were slain here by IEthelfrith of Northumbria, who also spoiled the monastery.
Yn) as an origin; a term designating especially the co-ordinates of a heavenly body referred to this origin.