Definition of equation in US English:

equation

noun

• 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.’
• ‘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.’
• ‘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 movement associated with each mode can be expressed by the motion equation for a single degree-of-freedom system.’
• ‘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.’
• ‘These laws are very precise and can be expressed by exact mathematical equations.’
• ‘He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.’
mathematical problem, sum, calculation, question
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• 2The process of equating one thing with another.

‘the equation of science with objectivity’
• ‘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.’
• ‘And can you tell us, are you concerned about second-guessing on that whole equation?’
• ‘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.’
• ‘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.’
equating, equalization, identification, association, connection, likening, matching
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1. 2.1the equation A situation or problem in which several factors must be taken into account.
‘money also came into the equation’
• ‘So let me analyse the business element of that equation.’
• ‘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.’
• ‘The fact that he might have to do without doesn't enter into the equation for some in the animal protection industry.’
• ‘Another factor in the equation: Used equipment must compete with new equipment in the marketplace.’
• ‘This deprivation of culture, of identity, is the missing link in Africa's development equation.’
• ‘When pressure of competition was factored into the equation, the situation changed.’
• ‘Yet rising U.S. interest rates and a still-strong dollar must be factored into that 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.’
• ‘Food/energy balance is the simple equation of calories in/calories out.’
• ‘Once all that is figured out, the most confusing factor in the equation must be pondered: playing time.’
• ‘Even the simplest of pots was a chore and ‘position’ did not even enter into the equation.’
• ‘The current price of oil, states the release, is a critical ingredient in the tourism industry and must be factored into the equation.’
• ‘So the children issue doesn't really enter into the equation.’
• ‘And the small matter of lost tax revenue doesn't enter into the equation at all, of course.’
• ‘In these and other ways, care theorists distance themselves from any simple equation of subjective hurt and moral claims.’
• ‘The second part of that equation seems to have been abandoned by feminists early on.’
• ‘It doesn't enter into the equation, because it's not part of the culture.’
• ‘We have explained the process of the enabling development equation.’
the situation, the problem, the case, the question, the quandary, the predicament
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• 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.

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

Phrases

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

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

• ‘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.’
• ‘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.’
• ‘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.’

Origin

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

equation

/əˈkwāZHən//əˈkweɪʒən/