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Coefficients: meaning, definitions and examples

๐Ÿ”ข
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coefficients

 

[ kษ™สŠษชหˆfษชสƒษ™nts ]

Noun
Context #1 | Noun

mathematics

Coefficients are the numbers which multiply the variables in an algebraic expression. They are the numerical constants that are placed before the variables.

Synonyms

constant, factor, multiplier.

Which Synonym Should You Choose?

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Word Description / Examples
coefficients

Used frequently in mathematics and statistics to describe numbers or constants that multiply variables in equations and expressions. Commonly seen in algebra, calculus, and physics.

  • In the quadratic equation ax^2 + bx + c = 0, a and b are coefficients.
  • The coefficients of the polynomial can be found using the binomial theorem.
constant

Describes a quantity that does not change. Used widely in mathematics, physics, and engineering to signify a fixed value.

  • The speed of light is a universal constant.
  • In the equation y = mx + c, c is the constant term.
factor

Commonly used in mathematics to describe numbers that are multiplied together to get another number. Also used to describe elements contributing to a result in various fields like business, science, and everyday language.

  • 2 and 3 are factors of 6.
  • His dedication was a key factor in the project's success.
multiplier

Often used in mathematics and economics to describe a number by which another number is multiplied. In economics, it refers to the factor by which an increase in spending produces an increase in income and consumption greater than the initial amount spent.

  • In 3 * 4 = 12, 3 is the multiplier.
  • The fiscal multiplier effect indicates how GDP is affected by a change in government spending.

Examples of usage

  • In the equation 3x + 4y = 10, 3 and 4 are the coefficients of x and y respectively.
  • The coefficient of x^2 in the expression 2x^2 + 5x - 3 is 2.
Context #2 | Noun

chemistry

In chemistry, coefficients refer to the numbers placed before the chemical formula in a balanced chemical equation, indicating the relative amount of each substance involved in the reaction.

Synonyms

proportions, ratios.

Which Synonym Should You Choose?

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Word Description / Examples
coefficients

Used in mathematics and science, particularly in equations where they represent constant values that multiply variables.

  • In the equation 5x + 3 = 0, 5 is the coefficient of x.
  • The coefficients in a polynomial can determine its shape.

Examples of usage

  • In the reaction 2H2 + O2 -> 2H2O, the coefficients 2 and 1 indicate the balanced ratio of hydrogen and oxygen to form water.

Translations

Translations of the word "coefficients" in other languages:

๐Ÿ‡ต๐Ÿ‡น coeficientes

๐Ÿ‡ฎ๐Ÿ‡ณ เค—เฅเคฃเคพเค‚เค•

๐Ÿ‡ฉ๐Ÿ‡ช Koeffizienten

๐Ÿ‡ฎ๐Ÿ‡ฉ koefisien

๐Ÿ‡บ๐Ÿ‡ฆ ะบะพะตั„ั–ั†ั–ั”ะฝั‚ะธ

๐Ÿ‡ต๐Ÿ‡ฑ wspรณล‚czynniki

๐Ÿ‡ฏ๐Ÿ‡ต ไฟ‚ๆ•ฐ

๐Ÿ‡ซ๐Ÿ‡ท coefficients

๐Ÿ‡ช๐Ÿ‡ธ coeficientes

๐Ÿ‡น๐Ÿ‡ท katsayฤฑlar

๐Ÿ‡ฐ๐Ÿ‡ท ๊ณ„์ˆ˜

๐Ÿ‡ธ๐Ÿ‡ฆ ู…ุนุงู…ู„ุงุช

๐Ÿ‡จ๐Ÿ‡ฟ koeficienty

๐Ÿ‡ธ๐Ÿ‡ฐ koeficienty

๐Ÿ‡จ๐Ÿ‡ณ ็ณปๆ•ฐ

๐Ÿ‡ธ๐Ÿ‡ฎ koeficienti

๐Ÿ‡ฎ๐Ÿ‡ธ stuรฐlar

๐Ÿ‡ฐ๐Ÿ‡ฟ ะบะพัั„ั„ะธั†ะธะตะฝั‚ั‚ะตั€

๐Ÿ‡ฌ๐Ÿ‡ช แƒ™แƒแƒ”แƒคแƒ˜แƒชแƒ˜แƒ”แƒœแƒขแƒ”แƒ‘แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ ษ™msallar

๐Ÿ‡ฒ๐Ÿ‡ฝ coeficientes

Etymology

The word 'coefficients' has its origins in Latin, where 'co-' means 'together' and 'efficient' comes from 'efficere' meaning 'to accomplish'. The term was first used in mathematics to indicate the constants that accompany variables. Over time, the term was adopted in various fields, including chemistry, to represent the relative amounts of substances in a reaction.

Word Frequency Rank

With rank #4,109, this word represents useful upper-intermediate vocabulary. Understanding and using it will help you express more complex ideas effectively.