above inequality vs Checking the following inequality

The phrases 'above inequality' and 'checking the following inequality' are not directly comparable as they serve different purposes. 'Above inequality' refers to a specific inequality mentioned earlier, while 'checking the following inequality' implies a future action of verifying an upcoming inequality. Therefore, the choice between the two depends on the context in which they are used.

Last updated: March 17, 2024 • 433 views

above inequality

This phrase is correct and commonly used in English.

This phrase is used to refer to a specific inequality that has been mentioned earlier in a text or conversation.

Examples:

In the previous step, we derived the above inequality.
The solution to the above inequality is x > 5.

Show examples from the web [+]

since g is nondecreasing on the range of f, and therefore,. \begin{align}g(t)\mu( A_t)&= The desired inequality follows from dividing the above inequality by g(t).
Theorem 2 of Hoeffding (1963) is a generalization of the above inequality when it is known that Xi are strictly bounded by the intervals [ai,bi]: \begin{align} ...
is the average value of u over Ω, with |Ω| standing for the Lebesgue measure of the domain Ω. When Ω is a ball, the above inequality is called a (p,p)-Poincaré ...
... "greater than" points, you would have shaded to the right. In all, we have seen four ways, with a couple variants, to denote the solution to the above inequality: ...

Checking the following inequality

This phrase is correct and commonly used in English.

This phrase is used to indicate the action of verifying or examining an inequality that will be presented next in a sequence.

Examples:

After simplifying the expression, we will be checking the following inequality.
The next step involves checking the following inequality for accuracy.

Show examples from the web [+]

ing property by checking the following inequality : prog ≤ prog · m1 · prog · m2 · prog. The less than or equal operator (≤) is defined such that a ≤ b is.
Dec 19, 2007 ... and checking the following inequality : vW 1,p. 0. (Ω)/Ker B ≤ C (fY p(Ω) + g. W. − 1p ,p. (Γ1). ). (15). Proof- As we have done in the theorem 2.2, ...
Jan 27, 2011 ... We checkt to see of the point is in fact inside the circle, this is done by checking the following inequality. x^2 + y^2 < R^2. We keep track of the ...
Jul 9, 2015 ... experimental treatment or not. Mathematically, this is formulated as checking the following inequality involving a Bayesian posterior probability ...

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above inequality vs Checking the following inequality