🧹 More minor cleanups #8
Open
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
rowanc1
commented
Jan 15, 2024
| - _What happens the range of $\beta$ values is too small? - try several small ranges_ | ||
| - _What happens if are only a few values of $\beta$ over a large range?_ | ||
| - _Does the optimal value $\beta^_$ stay the same or similar when any of the changes in this investigation are made?\* | ||
| - _Does the optimal value {math}`\beta^*` stay the same or similar when any of the changes in this investigation are made?_ |
Member
Author
There was a problem hiding this comment.
This is the only content change that I didn't catch in my formatter - changing unclosed "italics" across math. Putting then in a fence protects that class of errors.
| ``` | ||
|
|
||
| When $\beta → 0$ we minimize the time irrespective of the fuel consumption. The gas peddle is on the floor. When $\beta → \infin$ the driver wants to use the absolute minimum amount of fuel so the gas peddle is barely engaged. This is displayed in {numref}`Figure %s <d31AdH08dO30KTmaxlYO>` where both T and F are plotted as a function of $\beta$. It is customary have the $\beta$ axis extend from a high value $\beta_H$ to a low value $\beta_L$ and this is indicated in the first two plots. A plot of $T~\text{vs}~F$ is shown in the third plot of {numref}`Figure %s <d31AdH08dO30KTmaxlYO>`. This is a monotonic curve and each point on the curve corresponds to a single $\beta$. | ||
| When $\beta → 0$ we minimize the time irrespective of the fuel consumption. The gas peddle is on the floor. When $\beta → \infty$ the driver wants to use the absolute minimum amount of fuel so the gas peddle is barely engaged. This is displayed in {numref}`Figure %s <d31AdH08dO30KTmaxlYO>` where both T and F are plotted as a function of $\beta$. It is customary have the $\beta$ axis extend from a high value $\beta_H$ to a low value $\beta_L$ and this is indicated in the first two plots. A plot of $T~\text{vs}~F$ is shown in the third plot of {numref}`Figure %s <d31AdH08dO30KTmaxlYO>`. This is a monotonic curve and each point on the curve corresponds to a single $\beta$. |
Member
Author
There was a problem hiding this comment.
Apparently mathjax is fine with this spelling of infinity, latex is not.
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Some minor non-content related changes.