And God kept multiplying and multiplying 'em and feeding this whole field of people, like at a rock concert.
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.
The electrochemical equivalent of any other substance, whether element or compound, may be found by multiplying its chemical equivalent by I 036X Io-5.
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.
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.
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.
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 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).
The perfecting of the microscope led to a full comprehension of the great doctrine of cell-structure and the establishment of the facts - (r) that all organisms are either, single corpuscles (so-called cells) of living material (microscopic animalcules, &c.) or are built up of an immense number of such units; (2) that all organisms begin their individual existence as a single unit or corpuscle of living substance, which multiplies by binary fission, the products growing in size and multiplying similarly by binary fission; and (3) that the life of a multicellular organism is the sum of the activities of the corpuscular units of which it consists, and that the processes of life must be studied in and their explanation obtained from an understanding of the chemical and physical changes which go on in each.
The mean brightness varies as z3 (or as r3), and the integral found by multiplying it by zdz and integrating between o and co converges.
The actual purchase price of the 17 lines was calculated at 43 millions sterling (about double their cost price), on the following basis: (a) An amount equal to 20 times the sum obtained by multiplying the cost of construction at the date of purchase by the average ratio of the profit to the cost of construction during the six business terms of the company from the second half-year of 1902 to the first half-year of 1905.
Hence, multiplying these normal forces by the areas of the corresponding faces, we have the total flux parallel to the x-axis given by - (d 2 V/dx 2)dxdydz, and similar expressions for the other sides.
The total entropy of the system is found by multiplying the entropy per unit mass of the substance in each state by the mass existing in that state, and adding the products so obtained.
Multiplying the total number of adult immigrants by any one of these figures, we get the annual value of immigration.
Just as books were the means of multiplying, cheapening and disseminating ideas, so engravings on copper or wood were the means of multiplying, cheapening and disseminating images which gave vividness to the ideas, or served, for those ignorant of letters, in their stead.
Multiplying and dividing by 5 and finding the 13/4 value were also among the fundamental instruments of calculation, and all multiplication proceeded by repetitions of these processes with addition, e.g.
2, but multiplying the motion six or seven times, good results may be obtained.
To measure vertical motion, which with the greater number of earthquakes is not appreciable, a fairly steady mass to which a multiplying light-writing index can be attached is ob tamed from a weight carried on a lever held by any form of spring in a horizontal position.
The Tromholt-Schroeter data for Scandinavia as a whole commenced with 1761; the figures for earlier years were obtained by multiplying the data for Sweden by 1.356, the factor being derived by comparing the figures for Sweden alone and for the whole of Scandinavia from July 1761 to June 1783.
Abraham Bennet, the inventor of the gold leaf electro e described a doubler or machine for multiplying Bennet'.
6) which could be made to rotate at a considerable speed by a multiplying gear, part of which is seen at X.
Retaining walls b, b are built up to the ground level, and the spaces between the two are covered by thick boarding, which is to be shut down as shown at c in cold weather to exclude frost, and opened as shown at d in mild weather to promote The height of the pit of the plants; and, to from the havoc caused by accidents, and very short ones being objectionable as multiplying the chances of drip, and the exclusion of light by the numerous lappings; panes about 12 in.
The Great Northern War was primarily a training school for a backward young nation, and in the second place a means of multiplying the material resources of a nation as poor as she was backward.
The Sum Will Be The Year Of The Christian Era, And The Day Of The Year Will Be Found By Multiplying The Decimal Figures By 365.
The second of these relations is an important one, as it shows that from a table of logarithms to base a, the corresponding table of logarithms to base b may be deduced by multiplying all the logarithms in the former by the constant multiplier i/logab, which is called the modulus of the system whose base is b with respect to the system whose base is a.