Definitions for coefficient
ˌkoʊ əˈfɪʃ əntco·ef·fi·cient

Princeton's WordNetRate this definition:5.0 / 2 votes

1. coefficientnoun

   a constant number that serves as a measure of some property or characteristic

WiktionaryRate this definition:3.0 / 4 votes

1. coefficientnoun

   A constant by which an algebraic term is multiplied.

2. coefficientnoun

   A number, value or item that serves as a measure of some property or characteristic.

3. coefficientadjective

   cooperating

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Coefficientnoun

   Etymology: con and efficiens, Latin.

   1. That which unites its action with the action of another.2. In algebra.Such numbers, or given quantities, that are put before letters, or unknown quantities, into which letters they are supposed to be multiplied, and so do make a rectangle, or product with the letters; as 4a, bx, cxx; where 4 is the coefficient of 4a; b of bx, and c of cxx. Ephraim Chambers3. In fluxions.The coefficient of any generating term (in fluxions) is the quantity arising by the division of that term, by the generated quantity. Ephraim Chambers

WikipediaRate this definition:0.0 / 0 votes

1. Coefficient

   In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression (including variables such as a, b and c). When the coefficients are themselves variables, they may also be called parameters. For example, the polynomial 2 x 2 − x + 3 {\displaystyle 2x^{2}-x+3} has coefficients 2, −1, and 3, and the powers of the variable x {\displaystyle x} in the polynomial a x 2 + b x + c {\displaystyle ax^{2}+bx+c} have coefficient parameters a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} . The constant coefficient (also known as constant term, free coefficient) is the coefficient not attached to variables in an expression. For example, the constant coefficients of the expressions above are the number 3 and the parameter c, respectively. The coefficient attached to the highest degree of the variable in a polynomial is referred to as the leading coefficient. For example, in the expressions above, the leading coefficients are 2 and a, respectively.

ChatGPTRate this definition:0.0 / 0 votes

1. coefficient

   A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. It reflects the degree or extent of the specific variable's influence. For instance, in the equation 4x+2, 4 is the coefficient of variable x. In statistical analysis, a coefficient can represent the relationship between two variables in a mathematical equation. Coefficient can also be involved in various mathematical and scientific contexts, including physics, chemistry, and more.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Coefficientadjective

   cooperating; acting together to produce an effect

2. Coefficientnoun

   that which unites in action with something else to produce the same effect

3. Coefficientnoun

   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

4. Coefficientnoun

   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

5. Etymology: [Cf. F. coefficient.]

WikidataRate this definition:3.0 / 1 vote

1. Coefficient

   In mathematics, a coefficient is a multiplicative factor in some term of an expression; it is usually a number, but in any case does not involve any variables of the expression. For instance in 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, as a, b, and c in when it is understood that these are not considered as variables. Thus a polynomial in one variable x can be written as for some integer, where are coefficients; to allow this kind of expression in all cases one must allow introducing terms with 0 as coefficient. For the largest with, is called the leading coefficient of the polynomial. So for example the leading coefficient of the polynomial 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.

Chambers 20th Century DictionaryRate this definition:5.0 / 2 votes

1. Coefficient

   kō-ef-fish′ent, n. that which acts together with another thing: (math.) the numerical or literal factor prefixed to an unknown quantity in any algebraic term.—n. Coeffi′ciency.—adv. Coeffi′ciently.

The Standard Electrical DictionaryRate this definition:0.0 / 0 votes

1. Coefficient

   In algebra, the numerical multiplier of a symbol, as in the expression "5x," 5 is the coefficient. In physics, generally a number expressing the ratio or relation between quantities, one of which is often unity, as a standard or base of the set of coefficients. Thus the coefficient of expansion by heat of any substance is obtained by dividing its volume for a given degree of temperature by its volume at the standard temperature as 0º C., or 32º F. This gives a fraction by which if any volume of a substance, taken at 0º C., or at whatever may be taken as the basic temperature, is multiplied, the expanded volume for the given change of temperature will be obtained as the product. A coefficient always in some form implies the idea of a multiplier. Thus the coefficient of an inch referred to a foot would be 1/12 or .833+, because any number of inches multiplied by that fraction would give the corresponding number of feet. [Transcriber's note: 1/12 is 0.0833+]

Matched Categories

1. • Constant

How to pronounce coefficient?

1. Alex

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How to say coefficient in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of coefficient in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of coefficient in Pythagorean Numerology is: 5

Examples of coefficient in a Sentence

1. Ignacio Cruz:

   If the power coefficient is low, it has to be really cost competitive.

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=coefficient
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Coefficient
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=coefficient
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Coefficient
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/coefficient
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=coefficient
8. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=coefficient
9. ^ The Standard Electrical Dictionary
   https://www.gutenberg.org/cache/epub/26535/pg26535-images.html#:~:text=coefficient