Bullet List with Equations

Steps to reproduce

When working with cross line equations, bullet list behaves incorrectly.

  1. In editing mode, start a new bullet point after a previous point with cross line equations will not get correct bullet hierarchy.

From the location of cursor in the following screenshot (right after the last word), hit enter

I would expect starting a new bullet point in second level.
But I got no bullet level anymore (as shown below)

  1. Bullet point with cross line equations looks different in editing mode and reading mode.
    The below content in editing mode

    shows as below in reading mode.

    I labeled where is incorrect below:

I copied my original content here:

- Good event: Real ${\mu}_1,{\mu}_2,{\sigma}_1^2,{\sigma}_2^2$ falls into the CI.
	- $P(\mathrm{good~event})=1-P(\mathrm{bad~event})\ge(1-2\alpha)^2$.
	- #Code 8-9
	- Denote the estimated parameters for two arms as $\hat{\mu}_1,\hat{\mu}_2,\hat{\sigma}_1,\hat{\sigma}_2$, and abbreviated as $\hat{\Theta}=\{(\hat{\mu}_1,\hat{\sigma}_1),(\hat{\mu}_2,\hat{\sigma}_2)\}$. 
	- The optimization problem is $$
\max_{k_1\in\{m,m+1,\ldots,T-m\}} k_1\hat{\mu}_1+(T-k_1)\hat{\mu}_2+\sqrt{k_1\hat{\sigma}_1^2+(T-k_1)\hat{\sigma}_2^2}\Phi^{-1}(\tau),
$$ with objective function as $f(k_1,\hat{\Theta})$, and denote its optimal solution as $k^*(\hat{\Theta})$. ETC algorithm will get final performance of $f(k^*(\hat{\Theta}),\Theta)$. We will consider a relaxed continuous version of \Cref{eq_two_arms_estimator}, specifically, $\max_{k_1\in[0,T]}f(k_1,\hat{\Theta})$, and denote its optimal solution as $\tilde{k}^*(\hat{\Theta}):=\arg\max_{k_1\in[0,T]}f(k_1,\hat{\Theta})$.



- We want to bound the gap between the oracle performance $f(k^*(\Theta),\Theta)$, and the ETC performance $f(k^*(\hat{\Theta}),\Theta)$ under good event. The basic idea is to bound $|\tilde{k}^*(\hat{\Theta})-\tilde{k}^*(\Theta)|$ first under good event, then bound $|k^*(\hat{\Theta})-k^*(\Theta)|$, and use this result to bound $|f(k^*(\Theta),\Theta)-f(k^*(\hat{\Theta}),\Theta)|$.

Did you follow the troubleshooting guide?

YES

Environment

SYSTEM INFO:
Obsidian version: v1.6.7
Installer version: v1.4.13
Operating system: Darwin Kernel Version 23.5.0: Wed May 1 20:12:58 PDT 2024; root:xnu-10063.121.3~5/RELEASE_ARM64_T6000 23.5.0
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Live preview: on
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RECOMMENDATIONS:
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Two things:

Block math should be in its own block
Either:

text
$$block math$$
text

or

text
$$
block math
$$
text

\Cref{eq_two_arms_estimator} is triggering underline in reading mode. This is something that we may change in the future.

- Good event: Real ${\mu}_1,{\mu}_2,{\sigma}_1^2,{\sigma}_2^2$ falls into the CI.
	- $P(\mathrm{good~event})=1-P(\mathrm{bad~event})\ge(1-2\alpha)^2$.
	- #Code 8-9
	- Denote the estimated parameters for two arms as $\hat{\mu}_1,\hat{\mu}_2,\hat{\sigma}_1,\hat{\sigma}_2$, and abbreviated as $\hat{\Theta}=\{(\hat{\mu}_1,\hat{\sigma}_1),(\hat{\mu}_2,\hat{\sigma}_2)\}$. 
	- The optimization problem is 
	  $$\max_{k_1\in\{m,m+1,\ldots,T-m\}} k_1\hat{\mu}_1+(T-k_1)\hat{\mu}_2+\sqrt{k_1\hat{\sigma}_1^2+(T-k_1)\hat{\sigma}_2^2}\Phi^{-1}(\tau),$$
	   with objective function as $f(k_1,\hat{\Theta})$, and denote its optimal solution as $k^*(\hat{\Theta})$. ETC algorithm will get final performance of $f(k^*(\hat{\Theta}),\Theta)$. We will consider a relaxed continuous version of \Cref{eq\_two\_arms\_estimator}, specifically, $\max_{k_1\in[0,T]}f(k_1,\hat{\Theta})$, and denote its optimal solution as $\tilde{k}^*(\hat{\Theta}):=\arg\max_{k_1\in[0,T]}f(k_1,\hat{\Theta})$.
- We want to bound the gap between the oracle performance $f(k^*(\Theta),\Theta)$, and the ETC performance $f(k^*(\hat{\Theta}),\Theta)$ under good event. The basic idea is to bound $|\tilde{k}^*(\hat{\Theta})-\tilde{k}^*(\Theta)|$ first under good event, then bound $|k^*(\hat{\Theta})-k^*(\Theta)|$, and use this result to bound $|f(k^*(\Theta),\Theta)-f(k^*(\hat{\Theta}),\Theta)|$.

Thanks a lot! Your modified version works really well

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