To Find 3 Times 427, We Apply The Distributive Law (§ 58 (Vi)) That 3.427=3 (400 20 7)= 3.400 3.20 3.7.
(b) The important form of the distributive law is m(A+B) = mA+mB.
But, assuming the distributive principle, the product of two lines appeared to give the expression xx' - yy' - zz' +i(yx' +xy')+j(xz' i j (yz' +zy').
Even in ordinary algebra the notation for powers and roots disturbs the symmetry of the rational theory; and when a schoolboy illegitimately extends the distributive law by writing -V (a+b)a+J b, he is unconsciously emphasizing this want of complete harmony.
Distributive co-operation is confined almost entirely to Piedmont, Liguria, Lombardy, Venetia, Emilia and Tuscany, and is practically unknown in Basilicata, the Abruzzi and Sardinia.
34, 11 93 b 1-15), and it omits altogether the division into distributive and corrective justice.
Applying the distributive law, we obtain, when r+s>n, ArB 8 = EaErE i 3E 8 = E(a(3)ErEs, where the regressive products E r E B are to be reduced to units of species (r+s-n) by the foregoing rule.
There are not many cotton mills or weaving sheds in Manchester, which is, however, the great distributive centre, and its Exchange is the meeting-place of most classes of buyers and sellers in the cotton trade and various trades allied to it.
(vi) Distributive Law, that multiplications and divisions may be distributed over additions and subtractions, e.g.
They are (a+b)-?-c=a+(b+c) (A) (aXb)Xc=aX(bXc) (A') a+b=b+a (c) aXb=bXa (c') a(b c) =ab-Fac (D) (a - b)+b=a (I) (a=b)Xb=a (I') These formulae express the associative and commutative laws of the operations + and X, the distributive law of X, and the definitions of the inverse symbols - and =, which are assumed to be unambiguous.
If A 1 = X a i e i, B i = /if i e i, the distributive law of multiplication is preserved by assuming A1B1=E(a0 i 3)eiej; it follows that A 1 B 1 = - B 1 A 1, and that A l 2 = o.
S netona President of the State, and composed the statute for the election of the Constituent Assembly by universal, equal, direct and secret franchise according to a proportional system based on d'Hondt's distributive principle which contains elaborate safeguards against the tyranny of the majority.
Tenancy by courtesy was abolished in 1883, but the right of dower still obtains; the widow's acceptance of a distributive share in her husband's estate, however, bars her dower.
Quesnay and Mirabeau had advocated a proportional tax (impot de quotite), but Turgot a distributive tax (impot de repartition).
(ii.) These algebraical formulae involve not only the distributive law and the law of signs, but also the commutative law.
A universal is not " one identical point," but one distributive whole.
The orphans court may be held either by the judge of the court of common pleas or by a justice of the supreme court; and it has jurisdiction over controversies respecting the existence of wills, the fairness of inventories, the right of administration and guardianship, the allowance of accounts to executors, administrators, guardians or trustees, and over suits for the recovery of legacies and distributive shares, but it may refer any matter coming before it to a master in chancery.
But England, which formerly supplied almost everything to her own colonies and to many foreign countries besides, has, under the modified conditions of abundant steam tonnage everywhere, become less and less of a distributive country.