Noun:

கணக்கியலில் வகுத்து வந்த எண்,

quotients's Usage Examples:

Treating x as the unknown quotient corresponding to the original dividend, we obtain successive dividends corresponding to quotients x-200, x- 230 and x-231.

If r be the number of quotients in the recurring cycle, we can by writing down the relations connectin g the successive p's and q's obtain a linear relation connecting p nr +m, t'(n-1)r +m, +m in which the coefficients are all constants.

In the case of a terminating simple continued fraction the number of partial quotients may be odd or even as we please by writing the I last partial quotient, a n as a n - I +1.

, where, after the n th partial quotient, the cycle of partial quotients b 1, b2, .

This simple procedure gives the first few quotients of, that we listed above in equation 12.

, k J is the cycle of recurring quotients, then b n 2a1, b, bn_1, b 2 bn_2, b 3 bn_3, 'c.

But he did not attack the question of the representation of products or quotients of directed lines.

, the figures indicating specific gravities being quotients obtained by dividing in each instance the weight of the solid or liquid by the weight of an equal bulk of water, both taken at 60 F.

Hence the successive remainders are successively smaller multiples of L, but still integral multiples, so that the series of quotients k, s, t,.

In complete partition the successive quotients are 77H 2 and 31___12_1 o .

In the case of a recurring continued fraction which represents N, where N is an integer, if n is the number of partial quotients in the recurring cycle, and pnr/gnr the nr th convergent, then p 2 nr - Ng2nr (- I) nr, whence, if n is odd, integral solutions of the indeterminate equation x 2 - Ny 2 I (the so-called Pellian equation) can be found.

Synonyms:

ratio, proportion,

Antonyms:

scale up, disproportion,