then the sub intervals vs like assumed above

These two phrases are not directly comparable as they serve different purposes. 'Then the sub intervals' introduces a sequence of sub intervals, while 'like assumed above' refers to a previous assumption. They are used in different contexts and cannot be interchanged.

Last updated: March 08, 2024 • 727 views

then the sub intervals

This phrase is correct and commonly used in mathematics or any context where intervals are being discussed.

This phrase is used to introduce a sequence of sub intervals that follow a certain pattern or condition.

Examples:

First, we divide the interval into two equal parts. Then the sub intervals are further divided into smaller segments.

Show examples from the web [+]

(iii) if f is non-increasing [respectively, non-decreasing], then the sub-intervals. J, K on the right side in (i) and (ii) may be assumed to have left end-point a.
Then the sub-intervals Bk = (xk,xk−1], for k ≥ 1, and B0 = (x0, 1] are a partition of I. Define {ǫk}k∈N a sequence of positive real numbers, that is strictly mono-.
Then the sub-intervals where qi > (α − 1)π/2 holds are the stable intervals, and the endpoints of these stable sub- intervals where there is a leap of the integral ...

like assumed above

This phrase is correct and commonly used to refer back to a previous assumption or statement.

This phrase is used to indicate that the following statement is based on an assumption made earlier in the text or discussion.

Examples:

The data follows a normal distribution, like assumed above, which justifies the use of this statistical test.

Show examples from the web [+]

Since your question is not that precise, I will answer it (like assumed above) in the Web context: JavaScript is run from the browser and the ...
Nov 11, 2004 ... E /σcΩ on θ like assumed above, sometimes used in simulations of earthquake sequences (e.g.,. Rice and Ben-Zion, 1996; Lapusta et al., ...
mic dependence of E/σcΩ on θ like assumed above, sometimes used in simula- tions of earthquake sequences (e.g., Rice and Ben-Zion 1996; Lapusta et al.
Dec 30, 2013 ... When there is a single inventor with known invention costs Y like assumed above , there are no benefits in extending the level of patent ...

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then the sub intervals vs like assumed above