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equations given above vs given above equations

Both phrases are correct, but they are used in different contexts. 'Equations given above' is used when referring to equations that have been provided earlier in a text or document. 'Given above equations' is used when indicating that the equations are located above the current position in the text.

Last updated: March 19, 2024 • 930 views

equations given above

This phrase is correct and commonly used in English when referring to equations provided earlier in a text or document.

This phrase is used to indicate that the equations being discussed have been presented earlier in the text or document.

Examples:

  • Please refer to the equations given above for further clarification.
  • The solutions to the equations given above are shown in the table.
  • In the equations given above, the variables are clearly defined.
  • May 13, 2015 ... If we look at the four equations given above, a less-so-obvious feature that they share is that these equations are linear, in the sense that if we ...
  • The two equations given above for speed and velocity discuss only the average speed and average velocity over a given time interval. Most often, as with a car's  ...
  • Oct 1, 2012 ... within a given cuboidal domain; that is, all triples satisfying the three equations given above, and within the region defined by , , . (I restrict the ...
  • This system had two state equations, given above and reproduced here. It may not be obvious, but these state equations can be cast into the standard ...

Alternatives:

  • above-mentioned equations
  • equations above
  • the aforementioned equations
  • the equations above
  • the above equations

given above equations

This phrase is correct and commonly used in English when indicating that the equations are located above the current position in the text.

This phrase is used to specify that the equations being referred to are positioned above the current location in the text.

Examples:

  • Please solve the given above equations before moving on to the next section.
  • The given above equations need to be analyzed in detail.
  • Given above equations must be considered in the context of the problem.
  • ... and qp = qpR, and Ct and Cp are computed by the equations for tl and qp given above (equations 34 and 35), corresponding to the standard unit hydrograph.
  • The particular form of the gas distribution in the self-consistent isothermal model as given above (equations 5.63 through 5.70) depends on assuming that the ...
  • given above (Equations 3 and following) assuming the reflection factor used by the EPA. These tables represent "worst case" estimates of the far-field equivalent  ...
  • Sep 14, 1995 ... metric function C (= c0 as constants the function σ given above equations vanishes identically. Hence we are left with three algebraic equations ...

Alternatives:

  • equations provided above
  • equations above
  • above-mentioned equations
  • the equations above
  • the above equations

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