## Multiples Sentence Examples

- On account of this difficulty, the atomic weights published by Dalton, and the more accurate ones of Berzelius, were not always identical with the values now accepted, but were often simple
**multiples**or submultiples of these. - The slips thus placed in contact give the
**multiples**of the number 2085, the digits in each parallelogram being added together; for example, corresponding to the number 6 on the right-hand slip, we have o, 8+3, 0+4, 2, i; whence we find o, I, 5, 2, r as the digits, written backwards, of 6X2085. - The use of the slips for the purpose of multiplication is now evident; thus to multiply 2085 by 736 we take out in this manner the
**multiples**corresponding to 6, 3, 7, and set down the digits as they are obtained, from right to left, shifting them back one place and adding up the columns as in ordinary multiplication, viz. - Each of the four faces of each rod contains
**multiples**of one of the nine digits, and is similar to one of the slips just described, the first rod containing the**multiples**of o, I, 9, 8, the second of o, 2, 9, 7, the third of o, 3, 9, 6, the fourth of 0, 4, 9, 5, the fifth of I, 2, 8, 7, the sixth of I, 3, 8, 6, the seventh of I, 4, 8, 5, the eighth of 2, 3, 7, 6, the ninth of 2, 4, 7, 5, and the tenth of 3, 4, 6, 5. - Each rod therefore contains on two of its faces
**multiples**of digits which are complementary to those on the other two faces; and the**multiples**of a digit and of its complement are reversed in position. - The magnetic and electric forces are directed alternately in one direction and the other, and at distances which are called
**multiples**of a wave length the force is in the same direction at the same time, but in the case of damped waves h.as not quite the same intensity. - The parts of the flower are most frequently arranged in fives, or
**multiples**of fives; for instance, a common arrangement is as follows, - five sepals, succeeded by five petals, ten stamens in two sets of five, and five or fewer carpels; an arrangement in fours is less frequent, while the arrangement in threes, so common in monocotyledons, is rare in dicotyledons. - To the gramme-equivalents or gramme-molecules of the reacting substances, or to some
**multiples**of them. - The masses of different elements which combine separately with one and the same mass of another element, are either the same as, or simple
**multiples**of, the masses of these different elements which combine with each other. - When a homogeneous polynomial is transformed by general linear substitutions as hereafter explained, and is then expressed in the original form with new coefficients affecting the new variables, certain functions of the new coefficients and variables are numerical
**multiples**of the same functions of the original coefficients and variables. - Then a binary n", equated to zero, represents n straight lines through the origin, and the x, y of any line through the origin are given constant
**multiples**of the sines of the angles which that line makes with two fixed lines, the axes of co-ordinates. - As new axes of co-ordinates we may take any other pair of lines through the origin, and for the X, Y corresponding to x, y any new constant
**multiples**of the sines of the angles which the line makes with the new axes. - If now the nti c denote a given pencil of lines, an invariant is the criterion of the pencil possessing some particular property which is independent alike of the axes and of the
**multiples**, and a covariant expresses that the pencil of lines which it denotes is a fixed pencil whatever be the axes or the**multiples**. - Notation of
**Multiples**.-The above is arithmetic. The only thing which it is necessary to import from algebra is the notation by which we write 2X instead of 2 X X or 2. - Hence the successive remainders are successively smaller
**multiples**of L, but still integral**multiples**, so that the series of quotients k, s, t,. - 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. - Thus, the gases are not present in simple
**multiples**of their combining weights; atmospheric air results when oxygen and nitrogen are mixed in the prescribed ratio, the mixing being unattended by any manifestation of energy, such as is invariably associated with a chemical action; the gases may be mechanically separated by atmolysis, i.e. - (c) the standard gallon (and
**multiples**and fractions of it), declared to contain 10 lb of water at 62° F., being in volume 277.274 cub. - Troy weight was abolished, from the 1st of January 1879, by the Weights and Measures Act 1878, with the exception only of the Troy ounce, its decimal parts and
**multiples**, legalized in 1853, 16 Vict. - Again, there are many theories of the equivalence of different cubic cubits of water with various
**multiples**of talents (2, 3, 18, 24, 33); but connexion by lesser units would be far more probable, as the primary use of weights is not to weigh large cubical vessels of liquid, but rather small portions of precious metals. - The
**multiples**of the 20.63 cubit are in late times generally reckoned in these feet of 2/3 cubit. - In these cases the digit itself, or decimal
**multiples**, seem to have been used. - ± 0.6; by 9 unmarked pottery measures (30) 29.1 ± 0.16, and divided by 20; by 18 vases, supposed
**multiples**of hon (1), 32.1 ± 0.2. - From ratios stated before Greek times (35) the series of
**multiples**was -- - The system of
**multiples**was for liquids -- - From the east this unit passed to Asia Minor; and six
**multiples**of 2 to 20 shekels (av. - It has been connected theoretically with a binary division of the 10 shekels or "stone" of the Assyrian systems (28), 1290/16 being 80.625; this is suggested by the most usual
**multiples**being 40 and 80 = 25 and 50 shekels of 129; it is thus akin to the mina of 50 shekels previously noticed. - A beautiful set of
**multiples**of the scripulum was found near Lyons (38), from 1 to 10 x 17.28 grains, showing a libra of 4976. - -- The ounce (480 gr.) and
**multiples**and decimal parts of the ounce troy from 500 ounces to 0.001 oz. - In this table
**multiples**of the differences, instead of proportional parts, are given.' - In 1815 he published anonymously in the Annals of Philosophy a paper "On the relation between the specific gravities of bodies in their gaseous state and the weights of their atoms," in which he calculated that the atomic weights of a number of the elements are
**multiples**of that of hydrogen; and in a second paper published in the same periodical the following year he suggested that the rrpcbrn iiXrl of the ancients is realized in hydrogen, from which the other elements are formed by some process of condensation or grouping. - (a) Adding
**multiples**of a fraction to produce a more convenient fraction (perhaps connected with the use of palms and cubits in decoration in a proportion based on the number 8). - Should B and C be inconveniently large, they are, if possible, to be resolved into factors, and those factors (or if they are too small,
**multiples**of them) used for the number of teeth. - Then, if possible, B and, C themselves are to be resolved each into rnI factors (counting 1 as a factor), which factors, or
**multiples**of them, shall be not less than t nor greater than 6t; or if B and C contain inconveniently large prime factors, an approximate velocity ratio, found by the method of continued fractions, is to be substituted for B/C as before. - An illiterate population is very prone to state its age in even
**multiples**of five, and even where education is widely spread this tendency is not altogether absent, as may be seen from the examples given in TABLE III. - The selection of three as their number has been supposed to refer to the most ancient division of the year into spring, summer and winter, but it is probably only another instance of the Greek liking for that particular number or its
**multiples**in such connexions (three Moerae, Charites, Gorgons, nine Muses). - 2 Towards the end of the third quarter of the 19th century it therefore became clear that electricity, whatever be its nature, was associated with atoms of matter in the form of exact
**multiples**of an indivisible minimum electric charge which may be considered to be " Nature's unit of electricity." - The values of coin and notes are expressed in
**multiples**of the real (plural reis), a monetary unit which does not actually exist. - 3.3 (iii.)
**Multiples**, Submultiples and Quotients - I, V, X, L, C, D, M, proceeding by
**multiples**of five and two alternately. - The Hebrews had a notation containing separate signs (the letters of the alphabet) for numbers from t to to, then for multiplies of to up to zoo, and then for
**multiples**of too up to 400, and later up to moo. - (iii) The
**multiples**of to are usually strongly marked; but special stress is also laid on other important numbers, e.g. - The
**multiples**of 12. - Are the successive
**multiples**of 5d. - We find the
**multiples**of 12d. - Multiple-Tables.-The diagram C or D of § 35 is part of a complete table giving the successive
**multiples**of the particular unit. - If we take several different units, and write down their successive
**multiples**in parallel columns, preceded by the numberseries, we obtain a multiple-table such as the following: It is to be considered that each column may extend downwards indefinitely. - Submultiples.-The relation of a unit to its successive
**multiples**as shown in a multiple-table is expressed by saying that it is a submultiple of the**multiples**, the successive submultiples being one-half, one-third, one-fourth,.. - - If we take the successive
**multiples**of 2, 3,.. - The
**multiples**of 2 (including 1.2) are called even numbers; other numbers are odd numbers.