 Definition of 'equation'

## equation

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In Top 1000 words

### Definitions

1. mathematics An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.

2. astronomy A small correction to observed values to remove the effects of systematic errors in an observation.

3. A complex of variable elements or factors.

4. The act or process of equating or of being equated.

5. The state of being equal.

6. Mathematics A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

7. Chemistry A representation of a chemical reaction, usually written as a linear array in which the symbols and quantities of the reactants are separated from those of the products by an arrow or a set of opposing arrows.

8. (Arith.) the process of finding the mean time of payment of several sums due at different times.

9. (Math.) the branch of algebra that treats of the properties of a single algebraic equation of any degree containing one unknown quantity.

10. (Astron.) the difference between the place of a planet as supposed to move uniformly in a circle, and its place as moving in an ellipse.

11. (Math.) an equation which expresses the relation between the coördinates of every point in the curve.

12. See under Normal.

13. a timepiece made to exhibit the differences between mean solar and apparent solar time.

14. (Math.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them

15. a system of differential gearing used in spinning machines for regulating the twist of the yarn. It resembles gearing used in equation clocks for showing apparent time.

16. (Astron.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.

17. (Astron.) the difference between an observed result and the true qualities or peculiarities in the observer; particularly the difference, in an average of a large number of observation, between the instant when an observer notes a phenomenon, as the transit of a star, and the assumed instant of its actual occurrence; or, relatively, the difference between these instants as noted by two observers. It is usually only a fraction of a second; -- sometimes applied loosely to differences of judgment or method occasioned by temperamental qualities of individuals.

18. (Astron.) the difference between mean and apparent time, or between the time of day indicated by the sun, and that by a perfect clock going uniformly all the year round.

19. (Astron.) the difference between the mean and apparent places of the equinox.

20. A making equal; equal division; equality; equilibrium.

21. (Math.) equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and the number of equations that may be found is greater than the number of unknown quantities.

22. the act of regarding as equal

23. a mathematical statement that two expressions are equal

24. Any one of the usual equations of hydrodynamics, where the components of the velocity at fixed points of space are taken as variables: so called in contradistinction to the Lagrangian equations where the coordinates of a definite particle are taken as variables; these equations, though also discovered by Euler, having been used by Lagrauge.

25. A making equal, or an equal division; equality.

26. In the calculus, an equation which contains no differentials.

27. In modern writings, the correction to be applied to the position of a planet or to the time of an eclipse, etc., owing to the finite velocity of light.

28. The equation of the argument. (Kepler, De Motibus Martis, I. iv.)

29. In astronomy, the correction or quantity to be added to or subtracted from the mean position of a heavenly body to obtain the true position; also, in a more general sense, the correction arising from any erroneous supposition whatever.

30. with modern writers, a solution which is a particular case of the general solution;

31. In chem., a collection of symbols used to indicate that two or more definite bodies, simple or compound, having been brought within the sphere of chemical action, a reaction will take place, and new bodies be produced.

32. In modern astron., the excess of the true over the mean anomaly. (Gauss, Theoria Motus, I. 7.)

33. A general equation of hydrodynamics, in which, instead of considering the velocity at each fixed point of space, the motion of each particle is followed out. This is called a Lagrangian equation because used by Lagrange in his “Méchanique Analitique,” though invented by Euler.

34. An equation for the steady motion of a liquid, namely, where p is the pressure, ρ the density, V the potential of the impressed forces, q the velocity, and C a constant for each stream-line and vortex-line, and in the case of irrotational motion a constant for all space.

35. An equation of analytical geometry in which certain curves are represented by single letters. Thus, if U = 0, V = 0, W = 0, represent the equations of three circles, UV = W is the symbolic equation of a bicircular quartic

36. In mathematics, a proposition asserting the equality of two quantities, and expressed by the sign = between them; or an expression of the same quantity in two terms dissimilar but of equal value: as, 3 lb. = 48 oz.; x = b + m − r.

37. with older writers, any solution not general. A singular solution is one which is neither general nor implied in the general solution. The complete integral of a partial differential equation is a solution containing the full number of arbitrary constants or functions.

### Examples

1. We have a massive mathematical equation for this.

2. We can reduce this to a simpler equation.

3. This line traces the points where the two sides of our equation are indeed equal.

4. The world is just too varied to be "solved" by any one equation.

5. Yet here is where the question of balance and ballast enters the equation.

6. So courage and resilience enter the equation.

7. Can we say that they are acting as though they can solve a complex mathematical equation?

8. Being forced to do "voluntary work" in exchange for benefits takes that vital element out of the whole equation.

9. Losing weight is a simple equation.

10. Or cosmology, or something with either equations and numbers and that kind of thing.

11. The value equation is clinical outcome plus patient experience, divided by price.

12. The right-hand sides of these two equations are equal.

13. With all this in mind, a simple equation presents itself.

14. This is where the risk of Brexit enters the equation.

15. If it was easily accessible, then the whole energy equation might look rather different.

16. It is a simple equation: more height means more wind and more power.

17. The mysterious male ego seems to enter the equation, too.

18. It is always hard to realize that these numbers and equations we play with at our desks have something to do with the real world.

19. There is a simple equation.

20. There's a whole other equation now because of Rose.

21. But their most brilliant material was deeply mistrustful of words and numbers, like the great "7 x 13 = 28," in which Costello proves the title equation to Abbott in a variety of ways (mostly by ignoring base ten).

22. I addressed the other half of what you call the equation, that is, the ability to respond. although obviously not to your satisfaction.

23. In a lot of ways pop seems to be sited more in media where the least important part of the equation is the music.

24. She will insist that a key component of the equation is the word "involuntary."

25. But, her equation is at the level of story: history and fiction tell stories about people, great and small.

26. Each politician and each issue must be looked at on the particular facts and circumstances, and getting private funds out of the equation is the only way that I can see to remove or temper the tendency or inclination to accommodate private donors.

27. Complicating the equation is the fact that ticket sales themselves have actually been relatively flat; as a matter of fact, they have shown a slight decline in some recent years.

28. Whats left out of your equation is the thousands of consumers that benefited, and all the extra resources that opened up for them to do other things with besides pay your guys 17 bucks an hour for a job somebody else can do for 7.

29. Maybe the problem with the equation is the perceived ‘cost’ of voting.

30. ‘It also contains continued fractions, quadratic equations, sums of power series and a table of sines.’

31. ‘When I pressed him to write an equation expressing the value for a, he insisted that he would need a symbol for within.’

32. ‘Now express the pattern as a mathematical equation.’

33. ‘He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.’

34. ‘The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.’

35. ‘These laws are very precise and can be expressed by exact mathematical equations.’

36. ‘Lagrange's main object was to find out why cubic and quartic equations could be solved algebraically.’

37. ‘An encryption algorithm is a mathematical equation containing the message being encrypted or decrypted.’

38. ‘The movement associated with each mode can be expressed by the motion equation for a single degree-of-freedom system.’

39. ‘The sections on equations cover quadratic equations where he discusses two solutions.’

40. ‘As relationships go, I realized this simple equation of life.’

41. ‘I feel that I have developed some sort of equation with them.’

42. ‘And can you tell us, are you concerned about second-guessing on that whole equation?’

43. ‘I say two, because another managerial solution to this quandary is to work on the slightly simpler equation of four into three.’

44. ‘The simple equation of balancing caloric intake and exercise is the key to fitness.’

45. ‘One-half of the general problem of stellar atmospheres revolves around the solution of the equation of radiative transfer.’

46. ‘The facts reduce themselves to a terrible equation of time and consequence.’

47. ‘Another factor in the equation: Used equipment must compete with new equipment in the marketplace.’

48. ‘Once all that is figured out, the most confusing factor in the equation must be pondered: playing time.’

49. ‘When pressure of competition was factored into the equation, the situation changed.’

50. ‘The fact that he might have to do without doesn't enter into the equation for some in the animal protection industry.’

51. ‘So the children issue doesn't really enter into the equation.’

52. ‘It doesn't enter into the equation, because it's not part of the culture.’

53. ‘Even the simplest of pots was a chore and ‘position’ did not even enter into the equation.’

54. ‘And the small matter of lost tax revenue doesn't enter into the equation at all, of course.’

55. ‘Yet rising U.S. interest rates and a still-strong dollar must be factored into that equation.’

56. ‘The current price of oil, states the release, is a critical ingredient in the tourism industry and must be factored into the equation.’

57. ‘This deprivation of culture, of identity, is the missing link in Africa's development equation.’

58. ‘Concern for life just does not belong in the profit/loss equation.’

59. ‘We have explained the process of the enabling development equation.’

60. ‘So let me analyse the business element of that equation.’

61. ‘The second part of that equation seems to have been abandoned by feminists early on.’

62. ‘The perception of our success up to this point will be a critical part of that equation.’

63. ‘Even on stark issues like abortion, there can be no simple equation between the church and any political program or party.’

64. ‘In these and other ways, care theorists distance themselves from any simple equation of subjective hurt and moral claims.’

65. ‘It was a simple and compelling equation: the bigger the wave the better your bottom-line.’

66. ‘Food/energy balance is the simple equation of calories in/calories out.’

67. ‘When hydrolysis occurs, we will write a chemical equation to describe it, and new species will be formed in solution.’

68. ‘The chemical equations for some reactions may have a lone reactant or a single product.’

69. ‘I asked as I balanced a chemical equation and answered some questions.’

70. ‘The final system is the aerobic system. aerobic meaning it requires oxygen as part of its chemical equation to function.’

71. ‘The isotopic data do not conform to a simple mixing equation.’

72. they understood the equation

### Other users have misspelling equation as:

1. ication 6.09%

2. equati 4.06%

3. eqution 3.05%

4. eqation 2.03%

5. equaiton 2.03%

6. Other 82.74%

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