Crossword clues for coefficient
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Coefficient \Co`ef*fi"cient\, a. Co["o]perating; acting together to produce an effect. Co`ef*fi"cient*ly, adv.
Coefficient \Co`ef*fi"cient\, n.
That which unites in action with something else to produce the same effect.
[Cf. F. coefficient.] (Math.) A number or letter put before a letter or quantity, known or unknown, to show how many times the latter is to be taken; as, 6x; bx; here 6 and b are coefficients of x.
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(Physics) A number, commonly used in computation as a factor, expressing the amount of some change or effect under certain fixed conditions as to temperature, length, volume, etc.; as, the coefficient of expansion; the coefficient of friction.
Arbitrary coefficient (Math.), a literal coefficient placed arbitrarily in an algebraic expression, the value of the coefficient being afterwards determined by the conditions of the problem.
Douglas Harper's Etymology Dictionary
Wiktionary
a. cooperating n. 1 (context mathematics English) A constant by which an algebraic term is multiply. 2 A number, value or item that serves as a measure of some property or characteristic.
WordNet
n. a constant number that serves as a measure of some property or characteristic
Wikipedia
Coefficient could have one of the following meanings:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but in any case does not involve any variable of the expression. For instance in
7x − 3xy + 1.5 + y
the first two terms respectively have the coefficients 7 and −3. The third term 1.5 is a constant. The final term does not have any explicitly written coefficient, but is considered to have coefficient 1, since multiplying by that factor would not change the term. Often coefficients are numbers as in this example, although they could be parameters of the problem or any expression in these parameters. In such a case one must clarify which symbols represent variables and which ones represent parameters. Following Descartes, the variables are often denoted by , , ..., and the parameters by , , , ..., but it is not always the case. For example, if is considered as a parameter in the above expression, the coefficient of is , and the constant coefficient is .
When one writes
ax + bx + c
, it is generally supposed that is the only variable and that , and are parameters; thus the constant coefficient is in this case.
Similarly, any polynomial in one variable can be written as
$$a_k x^k + \dotsb + a_1 x^1 + a_0$$
for some integer k, where $a_k, \dotsc, a_1, a_0$ are coefficients; to allow this kind of expression in all cases one must allow introducing terms with 0 as coefficient. For the largest i with a ≠ 0 (if any), a is called the leading coefficient of the polynomial. So for example the leading coefficient of the polynomial
4x + x + 2x
is 4.
Specific coefficients arise in mathematical identities, such as the binomial theorem which involves binomial coefficients; these particular coefficients are tabulated in Pascal's triangle.
Usage examples of "coefficient".
In the existing setup the necessary heat cannot be supplied through the reactor walls because of the low heat transfer coefficient available for a fluidized system.
Through the social development of capital, the mechanisms of modern sovereignty-the processes of coding, overcoding, and recoding that imposed a transcendent order over a bounded and segmented social terrain-are progressively replaced by an axiomatic: that is, a set of equations and relationships that determines and combines variables and coefficients immediately and equally across various terrains without reference to prior and fixed definitions or terms.
Boy ascribed a low coefficient of irritant potential to Miss Stern, regarding her as a typical young American intellectual woman seeking a cause to justify her existence, until marriage, career, or artsy hobbies defused her.
This coefficient of resemblance between husband and wife in regard to phthisis is about the same as the correlation of resemblance between husband and wife for eye color, stature, longevity, general health, truthfulness, tone of voice, and many other characters.
In using a range of metals and polymers, the coefficient of inharmonicity is proportional to the modulus of elasticity divided by the square of the density.
This is the coefficient for most physical and mental characters: it is the coefficient for such pathological traits as deafness and insanity, which are obviously due in most cases to inheritance rather than infection.
Some of the reaction coefficients are highly dependent on the concentrations and distributions of certain microchemical agencies.
Lagrange surfaces and expansion coefficients all we can really do is guess.
I made some of the coefficients large so that they were hard to solve.
The coefficients indicated in red are modifiers that would be fixed for a given species, but the dominant factors are the general ones shown in green.
Stig's indifferent to what he chops down, knowing he can fell anything with that Swedish Bit and custom Handle, a Hickory or an Alder, an Oak or a Peach, it matters little to Stig, the Equations are the same but for the Arboreal Coefficients, Details of importance to a Beaver are absorb'd in a single brutal downswing, after which, all is over.
All might yet have been well had the General been content to let the scientists get on with their work while he concentrated on saluting smartness, the coefficient of reflection of barrack floors, and similar matters of military importance.
The Curie law, according to which the coefficient of magnetization of a body feebly magnetized varies in inverse ratio to the absolute temperature, is a remarkably simple law.
His eyes fell upon the small computer which had searched in the ship's microfiles for data on compounds with boiling points below such-and-such, with absorption coefficients in certain ranges, which had an inhibitive effect upon the formation of certain other substances.
The hardest one somebody gave me was the binomial coefficient of x10 in (1 + x)20.