Unpacking the Implication of a Formula: n=2

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Discussion Overview

The discussion revolves around the implications of a specific formula when n=2, particularly focusing on the transition from (s-t0) to (s-t0)^2 within an integral. Participants are seeking clarification on the reasoning behind this change and its implications.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion about the transition from (s-t0) to (s-t0)^2 in the integral, questioning the justification for this change.
  • Another participant suggests that the second step in the inequality can be derived by integrating both sides of a previous inequality, although the specifics of this integration are not detailed.
  • A repeated point emphasizes the need for clarity in the presentation of the formula and its implications.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the reasoning behind the formula's implications, indicating that multiple views and uncertainties remain regarding the transition and its justification.

Contextual Notes

There are limitations in the clarity of the original image referenced, which may affect the understanding of the discussion. Additionally, the mathematical steps leading to the conclusion are not fully resolved.

bubblewrap
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Edited by moderator

In the attached file it says that the formula for when n=2 implies the next one but I don't understand why it suddenly became (s-t0)^2 inside the integral instead of (s-t0) in the next one and keeps this pattern, it doesn't seem to be implied anywhere for me.
20160118_193530[1].jpg
 
Last edited by a moderator:
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@bubblewrap,
Your first image was posted sideways, so I deleted it, and edited your post accordingly. Many members will not bother responding if an image is of poor quality or upside-down or sideways.

Please start a new thread with your question about the first image, and try to post the image so that it is oriented correctly.
 
Last edited:
You get the second step in the inequality you ask about if you integrate the LHS and RHS of the previous inequality.
 
Erland said:
You get the second step in the inequality you ask about if you integrate the LHS and RHS of the previous inequality.
Thank you!
 

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