## xr

Initialism

- eXtended Release

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- It is equally evident that i varies as T, and therefore that it must be proportional to T/
**Xr**, T being of three dimensions in space. - It is convenient to retain x, to denote x r /r!, so that we have the consistent notation
**xr**=x r /r!, n (r) =n(r)/r!, n[r] =n[r]/r!. - The number of products such as x r,
**xr-**3y3, x r-2 z 2,. - (ii.) Repeated divisions of (24) by x+x, r being replaced by rd I before each division, will give (I +xy 2 = I -25+3x2-4x3-F...+(- )r(r (I)
**xr**+ (-) r+l x r+1 1(r+ I) (I +5)- 1 + (1 + 5)-21, (I-Fx)-3=I - (3x-6x2 - IOx3+...+(-)rï¿½ 2l(r+I)(r+2)**xr**+(-) r+l x r+1 12 (r+I) (r+2) (' +x)-1+(r+I)(I - Fx) - 2 +(I +x)-3},&c. - Comparison with the table of binomial coefficients in ï¿½ 43 suggests that, if m is any positive integer, (I +x)-m =Sr+Rr (25), where Sr=I -m[1]x+m[2]x2...+(-)rm[r]
**xr**(26), Rr_(_)r+1xr+11m[r] (1Fx) - 1+(m - I[r](I+x) m) (27).

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