(7) The twentytwo letters of the alphabet are divided into two halves; one half is placed above the other; and the two letters which thus become associated are interchanged.

32To explain these facts, Theodor Grotthus (1785-1822) in 1806 put forward an hypothesis which supposed that the opposite chemical constituents of an electrolyte interchanged partners all along the line between the electrodes when a current passed.

221 +hlx-+h2x2+h3x3-}-..., which remains true when the symbols a and h are interchanged, as is at once evident by writing -x for x.

22the symbols a and h may be interchanged.

221 Ze'; Which Preserves Its Expression When 0 And P And 0 And Q Are Separately Or Simultaneously Interchanged.

1113, interchanged in regard to Israel, on above theory)?

11The north-seeking end of a magnet is in English-speaking countries called the north pole and the other end the south pole; in France the names are interchanged.

11The cases so presented are interchanged by transmission to the opposite party.

11Thus any pair of adjoining numbers can be interchanged, so that the numbers can be arranged in any order.

11Embassies and courtesies were, indeed, interchanged, and on the 31st of March 1244 a treaty was signed at Rome, whereby the emperor undertook to satisfy the pope's claims in return for his own absolution from the ban.

11Further displacement will give the figures (4), (3), (2), (I) again, but with (I) and (II) interchanged.

11Pairs of deities whose personalities are often blended or interchanged are Hathor and Nut, Sakhmi and Pakhe, Seth and Apophis.

001, in which the light and shade are interchanged, would give therefore the effect of four equal sources of light shining on a wall through a circular hole.

00In this reaction the proportions of aldehyde and acetoacetic ester may be interchanged and ay disubstituted pyridines are then obtained.

00Bearing in mind that with ordinary trade balances there is always a possi - bility of the scale-pans and chains getting interchanged, these conditions require; (a) That the beam without the scale-pans and chains must be equally balanced and horizontal; (b) that the two scale-pans with their chains must be of equal weight; (c) that the arms of the beam must be exactly equal in length; i.e.

00The position of the coils A and B is then interchanged, and a fresh balance in position on the bridge is obtained.

00Next, let the position of A and B be interchanged, and the slide-wire reading be x'; then (B +--x') / (A +1 - x') = P/Q.

00It further appears that a determinant is a linear function' of the elements of each column thereof, and also a linear function of the elements of each line thereof; moreover, that the determinant retains the same value, only its sign being altered, when any two columns are interchanged, or when any two lines are interchanged; more generally, when the columns are permuted in any manner, or when the lines are permuted in any manner, the determinant retains its original value, with the sign + or - according as the new arrangement (considered as derived from the primitive arrangement) is positive or negative according to the foregoing rule of signs.

00By what precedes it appears that there exists a function of the n 2 elements, linear as regards the terms of each column (or say, for shortness, linear as to each column), and such that only the sign is altered when any two columns are interchanged; these properties completely determine the function, except as to a common factor which may multiply all the terms. If, to get rid of this arbitrary common factor, we assume that the product of the elements in the dexter diagonal has the coefficient + 1, we have a complete definition of the determinant, and it is interesting to show how from these properties, assumed for the definition of the determinant, it at once appears that the determinant is a function serving for the solution of a system of linear equations.

00This would allow new clappers to be interchanged with old without any significant change in appearance.

00All of these wipes fit onto easy-to-fix wall mounted holders and can be easily interchanged and replaced, perfect for every busy office.

00interchanged of a story with freely interchanging parts?

00The ages of each are often transposed and even the races are occasionally interchanged.

00The functions of land forms extend beyond the control of the circulation of the atmosphere, the hydrosphere and the water which is continually being interchanged between them; they are exercised with increased effect in the higher departments of biogeography and anthropogeography.

00x3 (ll'1T2...) and it is seen intuitively that the number 0 remains unaltered when the first two of these partitions are interchanged (see Combinatorial Analysis).

001.131, where the names of Mithras and Anaitis are interchanged); and religious prostitution is transferred to her service (Strabo xi.

00Commander van Quaelbergen, the third of the Dutch governors of the colony, was dismissed from the government in 1667, and expelled the service of the company, because he had interchanged civilities with a French governor bound eastwards, the United Provinces being then at peace with France.'

00Orfraie "again is occasionally interchanged with Effraie (which, through such dialectical forms as Fresaie, Fressaia, is said to come from the Latin praesaga), the ordinary French name for the barn-owl, Aluco fiammeus (see OWL).

00A teenage fashion wardrobe consists of a few quality pieces that can be interchanged with one another to create unique and individual looks.

00Clinical trial, research study, clinical studies, and other like phrases are often interchanged but mainly stand for the same type of thing.

00These pieces can be interchanged to give the Puvet a different theme.

00A Thanksgiving dress can often be interchanged with a Christmas dress, though Thanksgiving is usually exemplified by more of an autumn theme.

00Girls of all ages love locket charms because they're versatile and can be interchanged with other bracelets, necklaces, and various objects.

00Sometimes you may hear the phrase digital forensics interchanged with computer forensics.

00The characters can be built, taken apart, and the parts interchanged.

00For instance, a boyfriend jacket in basic black, white or red can be interchanged in endless combinations with jeans, tailored pencil skirts, dress slacks, dresses or even summer weight leggings or jeggings.

00We had a great connection from the beginning and have interchanged lots of personal information.

00Keeping in mind that cross trainers and aerobic shoes can be interchanged, try the Slat Trainer or the Free Trainer 7.0iD.

00He was often interchanged with a stuffed doll as all the other characters on the show just saw the doll, but he truly adored Tabitha and their story was beloved by fans.

00The strap and bracelet can be easily interchanged in moments with no tools.

00ch (2n +1)I 7 ry /a yl-R3ct (2n +I)3.ch(2n+I)17b /a ' 16 cos(2n+I) 2 7 z /a w1=4,i+ 4, ii = iR ?3a2 an elliptic-function Fourier series; with a similar expression for 1,'2 with x and y, a and b interchanged; and thence 4, = '1 +h.

01

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.