leading to performing the vs the lower bound of the inequality is

These two phrases are not directly comparable as they serve different purposes. The first phrase seems to be part of a sentence describing a process or sequence of events, while the second phrase is a statement about a mathematical concept. Therefore, they are not interchangeable.

Last updated: March 17, 2024 • 554 views

This phrase is correct when used in the context of describing a sequence of actions or events.

"leading to performing the"

This phrase is used to indicate a progression or sequence of actions leading to a specific outcome or result.

Show examples from the web [+]

Initial Professional Development Learning and development through which individuals first develop competence leading to performing the role of a professional ...
Dec 13, 2013 ... develop competence leading to performing the role of a professional accountant. CPD is learning and development that takes place after IPD, ...
develop competence leading to performing the role of a professional accountant. Developing Nations. Recognizing that many developing nations have adopted ...
individuals first develop capabilities and competence leading to performing the role of a professional accountant. IPD continues until the individual is recognized ...

This phrase is correct when discussing mathematical inequalities and refers to the smallest value that satisfies the given conditions.

"the lower bound of the inequality is"

This phrase is used in mathematical contexts to specify the smallest value that a variable can take while still satisfying the conditions of the inequality.

Show examples from the web [+]

Mar 3, 2015 ... So the lower bound of the inequality is null or trivial. For example, in the case of angular momentum operators, say, ∆Jz∆Jx ≥ 1. 2 | < [Jz,Jx] > | ...
Feb 17, 2015 ... reduces to Heisenberg-Robertson uncertainty relation and hence the lower bound of the inequality is again null or trivial. For the same choice, ...
The lower bound of the inequality is onset of the quantum transition described by the mean field theory. The upper bound is the condition to have only singly.
Jan 2, 2012 ... PRELIMINARIES. Proof. The lower bound of the inequality is obvious, and therefore we shall confine ourselves to the proof of the upper bound.

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leading to performing the vs the lower bound of the inequality is

"leading to performing the"

"the lower bound of the inequality is"

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