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词汇 equation
释义

Definition of equation in English:

equation

noun ɪˈkweɪʒ(ə)nəˈkweɪʒən
  • 1Mathematics
    A statement that the values of two mathematical expressions are equal (indicated by the sign =).

    〔数〕等式,方程(式)

    Example sentencesExamples
    • These laws are very precise and can be expressed by exact mathematical equations.
    • The sections on equations cover quadratic equations where he discusses two solutions.
    • Lagrange's main object was to find out why cubic and quartic equations could be solved algebraically.
    • The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
    • An encryption algorithm is a mathematical equation containing the message being encrypted or decrypted.
    • It also contains continued fractions, quadratic equations, sums of power series and a table of sines.
    • Now express the pattern as a mathematical equation.
    • He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
    • When I pressed him to write an equation expressing the value for a, he insisted that he would need a symbol for within.
    • The movement associated with each mode can be expressed by the motion equation for a single degree-of-freedom system.
    Synonyms
    mathematical problem, sum, calculation, question
    equality
  • 2mass noun The process of equating one thing with another.

    等同;相等;平衡

    the equation of science with objectivity

    对科学性和客观现实的等量齐观。

    Example sentencesExamples
    • I say two, because another managerial solution to this quandary is to work on the slightly simpler equation of four into three.
    • One-half of the general problem of stellar atmospheres revolves around the solution of the equation of radiative transfer.
    • As relationships go, I realized this simple equation of life.
    • And can you tell us, are you concerned about second-guessing on that whole equation?
    • The simple equation of balancing caloric intake and exercise is the key to fitness.
    • I feel that I have developed some sort of equation with them.
    • The facts reduce themselves to a terrible equation of time and consequence.
    Synonyms
    equating, equalization, identification, association, connection, likening, matching
    equivalence, likeness, identity, correspondence, agreement, comparison, balance, balancing
    1. 2.1the equation A situation in which several factors must be taken into account.
      (必须考虑多种因素的)复杂局面(或问题),综合体,复合体
      money also came into the equation

      钱也成了必须考虑的因素之一。

      Example sentencesExamples
      • It doesn't enter into the equation, because it's not part of the culture.
      • And the small matter of lost tax revenue doesn't enter into the equation at all, of course.
      • Another factor in the equation: Used equipment must compete with new equipment in the marketplace.
      • In these and other ways, care theorists distance themselves from any simple equation of subjective hurt and moral claims.
      • So let me analyse the business element of that equation.
      • The current price of oil, states the release, is a critical ingredient in the tourism industry and must be factored into the equation.
      • Yet rising U.S. interest rates and a still-strong dollar must be factored into that equation.
      • When pressure of competition was factored into the equation, the situation changed.
      • The second part of that equation seems to have been abandoned by feminists early on.
      • The fact that he might have to do without doesn't enter into the equation for some in the animal protection industry.
      • We have explained the process of the enabling development equation.
      • So the children issue doesn't really enter into the equation.
      • Even the simplest of pots was a chore and ‘position’ did not even enter into the equation.
      • This deprivation of culture, of identity, is the missing link in Africa's development equation.
      • The perception of our success up to this point will be a critical part of that equation.
      • It was a simple and compelling equation: the bigger the wave the better your bottom-line.
      • Once all that is figured out, the most confusing factor in the equation must be pondered: playing time.
      • Concern for life just does not belong in the profit/loss equation.
      • Even on stark issues like abortion, there can be no simple equation between the church and any political program or party.
      • Food/energy balance is the simple equation of calories in/calories out.
      Synonyms
      the situation, the problem, the case, the question, the quandary, the predicament
  • 3Chemistry
    A symbolic representation of the changes which occur in a chemical reaction, expressed in terms of the formulae of the molecules or other species involved.

    〔化〕反应式,化学方程式

    Example sentencesExamples
    • The final system is the aerobic system. aerobic meaning it requires oxygen as part of its chemical equation to function.
    • I asked as I balanced a chemical equation and answered some questions.
    • The isotopic data do not conform to a simple mixing equation.
    • When hydrolysis occurs, we will write a chemical equation to describe it, and new species will be formed in solution.
    • The chemical equations for some reactions may have a lone reactant or a single product.

Phrases

  • equation of the first (or second etc.) order

    • An equation involving only the first derivative, second derivative, etc.

      〔数〕一次(或二次等)方程

      Example sentencesExamples
      • Special attention should be drawn also to his little known pamphlet on regular point of linear differential equations of the second order used for a number of years in connection with one of his courses of lectures.
      • His doctoral dissertation was on the theory of the propeller which led to his developing a theory of partial differential equations of the second order.
      • This integral was introduced in a paper on differential equations of the second order which he wrote in 1870.
      • He did this by using an indeterminate equation of the second order, Nx 2 + 1 = y 2, where N is the number whose square root is to be calculated.
      • He began mathematical research while still an undergraduate and his first paper, On the isoclinal lines of a differential equation of the first order was published in the Proceedings of The Royal Society of Edinburgh in 1903.

Origin

Late Middle English: from Latin aequatio(n-), from aequare 'make equal' (see equate).

Rhymes

abrasion, Australasian, Eurasian, evasion, invasion, occasion, persuasion, pervasion, suasion, Vespasian

Definition of equation in US English:

equation

nounəˈkwāZHənəˈkweɪʒən
  • 1Mathematics
    A statement that the values of two mathematical expressions are equal (indicated by the sign =).

    〔数〕等式,方程(式)

    Example sentencesExamples
    • The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
    • These laws are very precise and can be expressed by exact mathematical equations.
    • The sections on equations cover quadratic equations where he discusses two solutions.
    • Lagrange's main object was to find out why cubic and quartic equations could be solved algebraically.
    • When I pressed him to write an equation expressing the value for a, he insisted that he would need a symbol for within.
    • An encryption algorithm is a mathematical equation containing the message being encrypted or decrypted.
    • He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
    • Now express the pattern as a mathematical equation.
    • It also contains continued fractions, quadratic equations, sums of power series and a table of sines.
    • The movement associated with each mode can be expressed by the motion equation for a single degree-of-freedom system.
    Synonyms
    mathematical problem, sum, calculation, question
  • 2The process of equating one thing with another.

    等同;相等;平衡

    the equation of science with objectivity

    对科学性和客观现实的等量齐观。

    Example sentencesExamples
    • I say two, because another managerial solution to this quandary is to work on the slightly simpler equation of four into three.
    • The facts reduce themselves to a terrible equation of time and consequence.
    • As relationships go, I realized this simple equation of life.
    • I feel that I have developed some sort of equation with them.
    • The simple equation of balancing caloric intake and exercise is the key to fitness.
    • One-half of the general problem of stellar atmospheres revolves around the solution of the equation of radiative transfer.
    • And can you tell us, are you concerned about second-guessing on that whole equation?
    Synonyms
    equating, equalization, identification, association, connection, likening, matching
    1. 2.1the equation A situation or problem in which several factors must be taken into account.
      (必须考虑多种因素的)复杂局面(或问题),综合体,复合体
      money also came into the equation

      钱也成了必须考虑的因素之一。

      Example sentencesExamples
      • Even the simplest of pots was a chore and ‘position’ did not even enter into the equation.
      • We have explained the process of the enabling development equation.
      • Concern for life just does not belong in the profit/loss equation.
      • Yet rising U.S. interest rates and a still-strong dollar must be factored into that equation.
      • When pressure of competition was factored into the equation, the situation changed.
      • Once all that is figured out, the most confusing factor in the equation must be pondered: playing time.
      • It doesn't enter into the equation, because it's not part of the culture.
      • The current price of oil, states the release, is a critical ingredient in the tourism industry and must be factored into the equation.
      • And the small matter of lost tax revenue doesn't enter into the equation at all, of course.
      • Another factor in the equation: Used equipment must compete with new equipment in the marketplace.
      • The fact that he might have to do without doesn't enter into the equation for some in the animal protection industry.
      • So the children issue doesn't really enter into the equation.
      • So let me analyse the business element of that equation.
      • The second part of that equation seems to have been abandoned by feminists early on.
      • It was a simple and compelling equation: the bigger the wave the better your bottom-line.
      • Food/energy balance is the simple equation of calories in/calories out.
      • This deprivation of culture, of identity, is the missing link in Africa's development equation.
      • The perception of our success up to this point will be a critical part of that equation.
      • In these and other ways, care theorists distance themselves from any simple equation of subjective hurt and moral claims.
      • Even on stark issues like abortion, there can be no simple equation between the church and any political program or party.
      Synonyms
      the situation, the problem, the case, the question, the quandary, the predicament
  • 3Chemistry
    A symbolic representation of the changes which occur in a chemical reaction, expressed in terms of the formulae of the molecules or other species involved.

    〔化〕反应式,化学方程式

    Example sentencesExamples
    • I asked as I balanced a chemical equation and answered some questions.
    • The isotopic data do not conform to a simple mixing equation.
    • When hydrolysis occurs, we will write a chemical equation to describe it, and new species will be formed in solution.
    • The final system is the aerobic system. aerobic meaning it requires oxygen as part of its chemical equation to function.
    • The chemical equations for some reactions may have a lone reactant or a single product.

Phrases

  • equation of the first order, (second order, etc.)

    〔数〕一次(或二次等)方程

    • An equation involving only the first derivative, second derivative, etc.

      〔数〕一次(或二次等)方程

      Example sentencesExamples
      • His doctoral dissertation was on the theory of the propeller which led to his developing a theory of partial differential equations of the second order.
      • He began mathematical research while still an undergraduate and his first paper, On the isoclinal lines of a differential equation of the first order was published in the Proceedings of The Royal Society of Edinburgh in 1903.
      • He did this by using an indeterminate equation of the second order, Nx 2 + 1 = y 2, where N is the number whose square root is to be calculated.
      • Special attention should be drawn also to his little known pamphlet on regular point of linear differential equations of the second order used for a number of years in connection with one of his courses of lectures.
      • This integral was introduced in a paper on differential equations of the second order which he wrote in 1870.

Origin

Late Middle English: from Latin aequatio(n-), from aequare ‘make equal’ (see equate).

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