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1Mathematics

A statement that the values of two mathematical expressions are equal (indicated by the sign =).*‘It also contains continued fractions, quadratic equations, sums of power series and a table of sines.’**‘When I pressed him to write an equation expressing the value for a, he insisted that he would need a symbol for within.’**‘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.’**‘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.’**‘Lagrange's main object was to find out why cubic and quartic equations could be solved algebraically.’**‘An encryption algorithm is a mathematical equation containing the message being encrypted or decrypted.’**‘The movement associated with each mode can be expressed by the motion equation for a single degree-of-freedom system.’**‘The sections on equations cover quadratic equations where he discusses two solutions.’*

View synonyms**mathematical problem**, sum, calculation, question2mass noun The process of equating one thing with another.

*‘the equation of science with objectivity’**‘As relationships go, I realized this simple equation of life.’**‘I feel that I have developed some sort of equation with them.’**‘And can you tell us, are you concerned about second-guessing on that whole equation?’**‘I say two, because another managerial solution to this quandary is to work on the slightly simpler equation of four into three.’**‘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.’**‘The facts reduce themselves to a terrible equation of time and consequence.’*

View synonyms**equating**, equalization, identification, association, connection, likening, matching- 2.1
**the equation**A situation in which several factors must be taken into account.*‘money also came into the equation’**‘Another factor in the equation: Used equipment must compete with new equipment in the marketplace.’**‘Once all that is figured out, the most confusing factor in the equation must be pondered: playing time.’**‘When pressure of competition was factored into the equation, the situation changed.’**‘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.’**‘It doesn't enter into the equation, because it's not part of the culture.’**‘Even the simplest of pots was a chore and ‘position’ did not even enter into the equation.’**‘And the small matter of lost tax revenue doesn't enter into the equation at all, of course.’**‘Yet rising U.S. interest rates and a still-strong dollar must be factored into 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.’**‘This deprivation of culture, of identity, is the missing link in Africa's development equation.’**‘Concern for life just does not belong in the profit/loss equation.’**‘We have explained the process of the enabling development 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.’**‘The perception of our success up to this point will be a critical part of that equation.’**‘Even on stark issues like abortion, there can be no simple equation between the church and any political program or party.’**‘In these and other ways, care theorists distance themselves from any simple equation of subjective hurt and moral claims.’**‘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.’*

View 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.*‘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.’**‘I asked as I balanced a chemical equation and answered some questions.’**‘The final system is the aerobic system. aerobic meaning it requires oxygen as part of its chemical equation to function.’**‘The isotopic data do not conform to a simple mixing equation.’*

**Phrases**

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

*‘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.’**‘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.’**‘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.’*

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

Mathematics

**Origin**

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

**Pronunciation**

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