In fact, the opposite is true: every non-constant polynomial equation in one unknown, with real or complex coefficients, has at least one complex number as solution ; this is the fundamental theorem of algebra.

The opposite is true with the ASBC polynomial.

This is puzzling to an outsider conscious of the classic tradition of liberalism, because it is clear that these Democrats who are left-of-center are at opposite poles from the liberal Jefferson, who held that the best government was the least government.

What was only a vague suspicion in the case of Sherlock Holmes now appears as a direct accusation: the private eye is in danger of turning into his opposite.

and according to them, whatever one fancies one feels, what one feels in fact is the opposite.

If Krutch is correct, tragedy may have quite the opposite effect.

Directly opposite is the emperor's door, through which they entered the building.

Taking the streetcar back to Kaiser's Fountain, I walked ahead, then left down the street opposite St. Sophia and just beyond the corner came to a small, one-story building with a red-tile roof, which is the entrance to the Sunken Palace.

If clay is slightly out of shape, square straight sides with guide sticks or rulers pressed against opposite sides, or smooth round pieces with damp fingers.

There are three principal feed bunk types for dairy and beef cattle: ( 1 ) Fence-line bunks -- cattle eat from one side while feed is put in from the opposite side of the fence by self-unloading wagons ; ;

Obviously, if colloidal particles bear charges of opposite sign or, if one kind is charged and the other kind is not, the attraction will be intensified and the tendency to agglomerate will be greatly reinforced.

Autosuggestibility, the reaction of the subject in such a way as to conform to his own expectations of the outcome ( i.e., that the arm-rise is a reaction to the pressure exerted in the voluntary contraction, because of his knowledge that `` to every reaction there is an equal and opposite reaction '' ) also seems inadequate as an explanation for the following reasons: ( 1 ) the subjects' apparently genuine experience of surprise when their arms rose, and ( 2 ) manifestations of the phenomenon despite anticipations of something else happening ( e.g., of becoming dizzy and maybe falling, an expectation spontaneously volunteered by one of the subjects ).

Similarly, at the opposite end of the market cycle, towards the end of an intermediate or major decline, usually while the bottom is being formed on the price chart, it is characteristic that an increase is noticed in odd-lot selling again alerting the chartist that a bottom is becoming a greater likelihood.

And the few must win what the many lose, for the opposite arrangement would not support markets as we know them at all, and is, in fact, unimaginable.

It also overlooks the fact that in a rational lexicon, and quite clearly in More's lexicon, the opposite of serious is not gay but frivolous, and the opposite of gay is not serious but solemn.

These will be numbered in the direction opposite to the flow of the process stream, so that stage R is the T stage from the end.

Instead of emotional recrimination, loaded phrases and sloganeering, we need a dispassionate study of the facts, a better understanding of the opposite viewpoint and a more serious effort to extend the areas of agreement until a solution is reached.

In a similar vein, but writing from the opposite side, Thomas Taylor, a private in the 6th Alabama Volunteers, in a letter to his wife, stated: `` you know that my heart is with you but I never could have been satisfied to have staid at home when my country is invaded by a thievin foe, by a set of cowardly skunks whose motto is Booty.

The 1932 Italian Encyclopedia stated: " For Fascism, the growth of empire, that is to say the expansion of the nation, is an essential manifestation of vitality, and its opposite a sign of decadence.

By the 1920s, the Library needed further expansion space, and in 1937 building work began on the New Bodleian building, opposite the Clarendon Building on the north-east corner of Broad Street.

LaSalle understood the meaning of the crossing paths of French and Spanish exploration from opposite directions, and outlined the main lines of future French strategy in North America ; he recognized the Mississippi as the key to control of the vast continental heartland, and the Ohio River became the line beyond which they would attempt to bar British expansion from the east.

Dilation ( or dilatation ) refers to an enlargement or expansion in bulk or extent, the opposite of contraction.

* Economic contraction or recession, a reversal of economic growth ; the opposite of economic expansion

The opposite of expansion.

This second phase of the centre's expansion plans is being built next to Superdrug, in East Walk ( opposite the Tesco Extra store ).

The milestone on the bridge that informs travellers of the distances to Warrington, Prescot and Liverpool was moved to the opposite side at the time of the expansion.

The effect of reducing local effort and resource use by learning improved methods paradoxically often has the opposite latent effect on the next larger scale system, by facilitating its expansion, or economic growth, as discussed in the Jevons paradox in the 1880s and updated in the Khazzoom-Brookes Postulate in the 1980s.

The $ 64, 000 Question had the opposite problem: sponsor Revlon – possibly under pressure from its chieftain, Charles Revson, who has been credited with expressing the desire for famous faces that prompted Challenges expansion to include celebrities-often tried to interfere with the production of Question, including and especially trying to bump contestants it simply disliked, no matter whether the audience liked them.

The School of Engineering and Information Technology was relocated, in 2011, to a new expansion of the Doon campus opposite the current facility across Highway 401.

Before expansion Coleridge School was located on a single site on Crouch End Hill directly opposite the former Art College building.

Its fibers diverge like the barbs of a quill-pen ; the most posterior form a thin layer, which is lost on the inferior fascia of the urogenital diaphragm ; the middle fibers encircle the bulb and adjacent parts, of the corpus cavernosum urethræ, and join with the fibers of the opposite side, on the upper part of the corpus cavernosum urethræ, in a strong aponeurosis ; the anterior fibers, spread out over the side of the corpus cavernosum penis, to be inserted partly into that body, anterior to the Ischiocavernosus, occasionally extending to the pubis, and partly ending in a tendinous expansion which covers the dorsal vessels of the penis.

Each expansion link was driven from the crosshead on the opposite side of the engine.

In the early nineteenth century, the two waves of expansion met on the opposite side of the world along the Pacific Coast of California, with Russia arriving from the north and Spain from the south.

The Adriatic Sea's opposite southern Balkans shore, with Dalmatia, Montenegro, and Albania, was planned for Italian expansion as a possible Fifth Shore, with Libya on the Mediterranean Sea becoming the Fourth.

The stadium was reconfigured again in the mid-1970s to allow the expansion Toronto Blue Jays to play there, with additional seating opposite the covered grandstand on the first base side and curving around to the third base side.

* Simple expansion, a system in steam engines and their accessories where a piston has the ability to both push and pull a connecting rod by applying steam pressure alternately to opposite sides of the piston

If Verwertungsprozess is translated as " self-expansion of capital ", this actually conveys the exact opposite of what Marx intends: after all, the expansion of capital is not automatic, it requires human work to expand it.

Also included in the expansion was a foreign language hall at the opposite end of the building, built onto A-Hall.

The expansion is necessary to compete with the new rival mall Splendid China Tower on the opposite side of Steeles Avenue East.

The same procedure as followed on acid medium by multiplying electrons to opposite half reactions solve the equation thus balancing the overall reaction.

For example, multiplying or dividing by ten is an easy task when working in decimal ( just move the decimal point ), whereas multiplying or dividing by sixteen is not ; however, the opposite is true when working in hexadecimal.