This complementary relationship descends even to the minor features of the two.
From the former point of view the freeman, then essentially a warrior, and the slave were mutual auxiliaries, simultaneously exercising different and complementary functions - each necessary to the community.
Similarly, by putting one or more of the deleted rows or columns equal to rows or columns which are not deleted, we obtain, with Laplace, a number of identities between products of determinants of complementary orders.
To complete the year five complementary common years, and six in leap years.
(b) Detached Amen, the complementary sentence being suppressed, e.g.
His " law of acceleration " together with the complementary " law of retardation," or the slowing up in the development of certain characters (first propounded by E.
Nature and spirit, Naturphilosophie and Transcendentalphilosophie, thus stand as two relatively complete, but complementary parts of the whole.
Thus universal conscription and universal suffrage tend to become in continental political development complementary conditions of the citizen's political being.
The two components of double stars often exhibit complementary colours.
At last, however, no swing into the opposite, with its primarily conflicting, if ultimately complementary function, is any longer possible.
All colours are complementary, or go in pairs; each pair makes up the whole activity of the retina, and so is equivalent to white; and the two partial activities are so connected that when the first is exhausted the other spontaneously succeeds.
This theory of complementary colours as due to the polarity in the qualitative action of the retina is followed by some criticism of Newton and the seven colours, by an attempt to explain some facts noted by Goethe, and by some reference to the external stimuli which cause colour.
This suggests that a sufficient number of councillors was assured beforehand, and a list drawn up for each session; the vassals and prelates still figuring as a complementary body at the council.
Small "males" are in some species constantly associated with large hermaphrodites, but according to Beard there are in some cases true dwarf males, comparable to the complementary males described by Darwin in the Cirripedia.
The complementary movements referred to are indicated at fig.
Soon after came the council in Trullo (692), also called the Quinisextum, because it was considered as complementary to the two councils (5th and 6th ecumenical) of Constantinople (553 and 680), which had not made any disciplinary canons.
In 1253 he sent a further list of the first words (principia) of the complementary constitutions and decretals; but the result was practically nil and the popes gave up this system of successive additions.
As such, and without receiving any complementary authority, they have been corrected and reedited, like the others, by the Correctores romani.
Subtraction by counting forward is called complementary addition.
The second, which is not essential to the method, is that the remainders are shown, but not the partial products; the remainders being obtained by working from the right, and using complementary addition.
It is only in herbivorous mammals that the caecum is developed to this great extent, and among these there is a complementary relationship between the size and complexity of the organ and that of the stomach.
Most schools of theology will concur, however, in giving prominence to a complementary point of view and making their systems a study of Divine revelation.
Decomposition of a Determinant into complementary Deter- minants.
Moreover, representing the remaining three lines by a" b" c" d" e" b /r c a, d N, e"' a " c 'N d"N err" it is further seen that the factor which multiplies the determinant formed with any two columns of the first set is the determinant of the third order formed with the complementary three columns of the second set; and it thus appears that the determinant of the fifth order is a sum of all the products of the form ' a b c" d" e" a, b"c"'dN, ear the sign being in each case such that the sign of the term .c"d"'e" obtained from the diagonal elements of the component determinants may be the actual sign of this term in the determinant of the fifth order; for the product written down the sign is obviously +.
Instead of it is frequently used the complementary angle ZOP, known as the polar distance of the body.
They show complementary products to the one you are considering.
This section shows not complementary products but, essentially, competitive products.