Crossword clues for resultant
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Eliminant \E*lim"i*nant\, n. (Math.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Douglas Harper's Etymology Dictionary
early 15c., from French résultant and directly from Medieval Latin resultantem (nominative resultans), present participle of resultare (see result (v.)).
1630s, from resultant (adj.) and from Medieval Latin resultantem (nominative resultans), present participle of resultare (see result (v.)).
Wiktionary
a. following as a result or consequence of something n. 1 anything that results from something else; an outcome 2 (context mathematics English) a vector that is the vector sum of multiple vectors
WordNet
adj. following as an effect or result; "the period of tension and consequent need for military preparedness"; "the ensuant response to his appeal"; "the resultant savings were considerable"; "the health of the plants and the resulting flowers" [syn: consequent, ensuant, resulting(a), sequent]
n. the final point in a process [syn: end point]
something that results; "he listened for the results on the radio" [syn: result, final result, outcome, termination]
a vector that is the sum of two or more other vectors [syn: vector sum]
Wikipedia
In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients, which is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over their field of coefficients). In some older texts, the resultant is also called eliminant.
The resultant is widely used in number theory, either directly or through the discriminant, which is essentially the resultant of a polynomial and its derivative. The resultant of two polynomials with rational or polynomial coefficients may be computed efficiently on a computer. It is a basic tool of computer algebra, and is a built-in function of most computer algebra systems. It is used, among others, for cylindrical algebraic decomposition, integration of rational functions and drawing of curves defined by a bivariate polynomial equation.
The resultant of n homogeneous polynomials in n variables or multivariate resultant, sometimes called Macaulay's resultant, is a generalization of the usual resultant introduced by Macaulay. It is, with Gröbner bases, one of the main tools of effective elimination theory (elimination theory on computers).
Usage examples of "resultant".
Expressed in its simplest terms, it is a demand that the practice of animal experimentation shall be investigated by the State to determine what is actually being done, and that thereafter legislation shall be had that shall place it under such supervision and restriction as shall insure differentiation between scientific investigation performed for wise and adequate ends and purposes on the one hand, and on the other acts of a painful and brutal character performed from unworthy motives, with no adequate benefit possible as a resultant, and which clearly come within the classification of cruelty.
Long ago, humans had used bulky oxygen tanks, and then rebreathers, which processed exhaled air, removing the carbon dioxide by mixing it with alkaline hydroxide, and then injecting the resultant oxygen with helium.
When an ovum bearing maleness meets the invariably maleness-bearing sperm, the resultant individual is a male, of course, and he is male all through.
But an additional instructor added at this time could cause a reshuffling of allegiances and a resultant upset in the neat balance of power.
Talleyrand, Chateaubriand, and the rest- but the sum of the components, that is, the interactions of Chateaubriand, Talleyrand, Madame de Stael, and the others, evidently does not equal the resultant, namely the phenomenon of millions of Frenchmen submitting to the Bourbons.
Here is where a materialist telos is defined, founded on the action of singularities, a teleology that is a resultant of the res gestae and a figure of the machinic logic of the multitude.
After crawling out of the suit I had a great deal of pleasure watching it burn to a cinder under the heat of three thermite bombs, I particularly enjoyed kicking the resultant hissing slag into the lake.
Time and again he stared at the resultant trigrams, as if fixing them in mind.
The resultants of all other poisons were unapparent, save those of mercurial compounds, which usually left me languid for several days.
There is a resultant active circulation of the fluid from the chorioid plexuses, where it leaks out of the blood, through the ventricles, out into the sub-arachnoid space, and through the arachnoid villi, where it is absorbed back into the blood.
You would be wasting biosynthetic energy, which otherwise could go into making babies, if you kept one part of your body in such great repair that it outlasted all your other parts and your resultant expected life span.
Gyrgon delighted in lying, obfuscating, deliberately deceiving the other castes if only to see the resultant reactions.
On stimulus the resultant depolarization is not translated into muscular contraction or any of the other common responses but makes itself evident, instead, as a flow of electricity.
Mythology is the deceptive substitute for this, employed when we arbitrarily project forms of our present experience into the unknown futurity, and then hold the resultant fancies as a rigid belief, or regard them as actual knowledge.
I consider the proposal to send the Standing Naval Force to disrupt these perfectly legitimate Soviet naval exercises is unjustified, dangerous in the extreme, and, in the sense that such provocation and resultant confrontation could well lead to the outbreak of full-scale war, highly irresponsible.