## Multiplying Sentence Examples

- And God kept
**multiplying**and**multiplying**'em and feeding this whole field of people, like at a rock concert. - Their selection for a particular purpose depends upon some special quality which they possess; thus for brewing certain essentials are demanded as regards stability, clarification, taste and smell; whereas, in distilleries, the production of alcohol and a high
**multiplying**power in the yeast are required. - They exercise their acumen in
**multiplying**difficulties; but all such questionable doctrines are presently re-established from a different point of view as truths of faith or findings of church authority. - The increased loading space required in the sheds is obtained by
**multiplying**the number and the length of lines and platforms; sometimes also there are short sidings, cut into the platforms at right angles to the lines, in which wagons are placed by the aid of wagon turn-tables, and sometimes the wagons are dealt with on two floors, being raised or lowered bodily from the ground level by lifts. **Multiplying**through by w we obtain Tw = 2FwD = 2µWwD = RV (4) This is a fundamental energy equation for any form of locomotive in which there is only one driving-axle.- Dividing thr Hugh by V and
**multiplying**through by 550, 2240W 2240Wa R =Were+W vry t G (23) ' 'an expression giving the value of R the total tractive resistance. - Many of the furious Terrorists now became quiet and active councillors or administrators, the First Consul adopting the plan of
**multiplying**"places," of overwhelming all officials with work, and of busying the watch-dogs of the Jacobinical party by "throwing them bones to gnaw." - To render the elongation evident, another wire is attached to its centre S2, this last having a thread fixed to its middle of which the other end is twisted round the shaft of an index needle or in some way connected to it through a
**multiplying**gear. - By cancelling the political power of the Areopagus and
**multiplying**the functions of the popular law-courts, Ephialtes abolished the last checks upon the sovereignty of the commons. - He introduced the idea of comparing the refractivity of equimolecular quantities of different substances by
**multiplying**the function (n-1)/d by the molecular weight (M) of the substance, and investigated the relations of chemical grouping to refractivity. - Another motive for
**multiplying**the number of graves operated when the cubiculum contained the remains of any noted saint or martyr. - The electrochemical equivalent of any other substance, whether element or compound, may be found by
**multiplying**its chemical equivalent by I 036X Io-5. - We may say that, in the resulting determinant, the element in the ith row and k th column is obtained by
**multiplying**the elements in the kth row of the first determinant severally by the elements in the ith row of the second, and has the expression aklb11+ak2b12+ak3b13ï¿½ï¿½ï¿½ +aknbin, and we obtain other expressions by transforming either or both determinants so as to read by columns as they formerly did by rows. - Denote by A the determinant (a11a22ï¿½ï¿½ï¿½ann)ï¿½
**Multiplying**the equations by the minors A l, .., A2,,,,ï¿½ï¿½ï¿½Ani., respectively, and adding, we obtain x 1 (ai, Aig+a2p.A2lc+ï¿½ï¿½ï¿½+anï¿½Anï¿½) =xï¿½A=o, since from results already given the remaining coefficients of x 11' x 2, ...x ï¿½ 'i xï¿½+I,...x, vanish identically. **Multiplying**out the right-hand side and comparing coefficients X1 = (1)x1, X 2 = (2) x2+(12)x1, X3 = (3)x3+(21)x2x1+ (13)x1, X4 = (4) x 4+(31) x 3 x 1+(22) x 2+(212) x2x 1 +(14)x1, Pt P2 P3 P1 P2 P3 Xm=?i(m l m 2 m 3 ...)xmlxm2xm3..., the summation being for all partitions of m.- Ai by substituting for y 1, y 2 the cogredient quantities b2,-b1, and
**multiplying**by by-k. - The second method is in principle extremely simple, consisting merely in
**multiplying**the observed velocity of light by the time which it takes light to travel from the sun to the earth. - The rate at which energy is lost being proportional to the frequency, it is obvious that the loss at frequency ioo may be deduced from that at any other frequency n by simply
**multiplying**by too n. - The scale is graduated in such a manner that by
**multiplying**the reading by a simple factor (generally 10 or 2) the absolute value of the magnetization is obtained. - (ii.) Perhaps the worst thing we can do, from the point of view of intelligibility, is to " clear of fractions " by
**multiplying**both sides by 6. - This states that the result of the operation of
**multiplying**3/b by 4 is 12 lb. - We replace 4(x3), for instance, by 4x4.3, because we know that, whatever the value of x may be, the result of subtracting 3 from it and
**multiplying**the remainder by 4 is the same as the result of finding 4x and 4.3 separately and subtracting the latter from the former. - (vi.) In the same way, we do not lay down a general rule that an equation is not altered by
**multiplying**both members by the same number. - Thus, if we have an equation P=Q, where P and Q are numbers involving fractions, we can clear of fractions, not by
**multiplying**P and Q by a number m, but by applying the equal multiples P and Q to a number m as unit. - (ii.) To verify this, let us denote the true coefficient of An-rar by (,), so that we have to prove that (;`.) = n(r), where n(r) is defined by (I); and let us inspect the actual process of
**multiplying**the expansion of (A+ a) n -' by A+a in order to obtain that of (A+a)". - Now this is formally analogous to the distributive law of multiplication; and in fact we may look upon AFB as a particular way of
**multiplying**A and B (not A and B).