2nd maintenance of my blog

Due to the excessively high Node.js version on my Windows system, I was unable to deploy my Hexo blog. I spent yesterday afternoon doing some maintenance on the blog.

The last maintenance was to deploy the Twikoo comment section, which involved upgrading the NexT theme from version 7 to 8.1.0. It was quite a hassle and took a considerable amount of time.

I can only say that after numerous trials of configuring environments, my efficiency has improved significantly compared to before.

Steps

• Update Hexo from 5.2.0 → 6.3.0
• Update NexT from 8.1.0 → 8.14.1
• Update Twikoo from 1.5.x → 1.6.8

In reality, these three updates did not solve the fundamental issue of being unable to deploy the blog. Countless blog posts online uniformly suggested downgrading Node.js to a version below 12. How could I tolerate such a regression? Eventually, I found the final solution in this link.

@WinterSoHot
It seems caused by hexo-fs. hexo-deployer-git depends on hexo-fs and hexo-fs@2.0.0 is incompatible with Node.js 14.

We have already released hexo-fs@2.0.1 that supports Node.js 14.
Would you please re-install hexo-deployer-git?

I think, after re-install hexo d will work well.

Changes

Of course, going through all this trouble did bring some benefits, such as:

• Seemingly resolving the inconsistency between $LATEX$ rendering in Typora and MathJax on the webpage.
• Increasing the blog's word count by approximately 5.5%.

And some minor changes:

• The Friends link, TOC, and site statistics have been integrated.
• The pink header area on the blog's homepage has become slightly narrower.

—Though it also came with some losses:

• Clearing the comment records in the already quiet comment section.

Tests

Excerpted from the Interval Estimation (Memorize) section of "(Completed) Probability and Statistics Notes".

Estimate the $(1-\alpha )$ confidence interval for $\mu$.

Estimate the $(1-\alpha)$ confidence interval for $\mu$.

If ${\sigma }^2$ is known, it is $(\bar{X}-\frac{\sigma }{\sqrt{n}}{u}_{1-\frac{\alpha }{2}},\bar{X}+\frac{\sigma }{\sqrt{n}}{u}_{1-\frac{\alpha }{2}})$

If $\sigma^2$ is known, it is $(\overline{X}-\frac{\sigma}{\sqrt{n}}u_{1-\frac{\alpha}{2}}, \overline{X}+\frac{\sigma}{\sqrt{n}}u_{1-\frac{\alpha}{2}})$

If ${\sigma }^2$ is unknown, it is $(\bar{X}-\frac{S}{\sqrt{n}}{t}_{1-\frac{\alpha }{2}}(n-1),\bar{X}+\frac{S}{\sqrt{n}}{u}_{1-\frac{\alpha }{2}}(n-1))$

If $\sigma^2$ is unknown, it is $(\overline{X}-\frac{S}{\sqrt{n}}t_{1-\frac{\alpha}{2}}(n-1), \overline{X}+\frac{S}{\sqrt{n}}u_{1-\frac{\alpha}{2}}(n-1))$

Estimate the $(1-\alpha )$ confidence interval for ${\sigma }^2$.

Estimate the $(1-\alpha)$ confidence interval for $\sigma^2$.

$(\frac{(n-1)s^2}{{\chi }_{1-\frac{\alpha }{2}}^2(n-1)},\frac{(n-1)s^2}{{\chi }_{\frac{\alpha }{2}}^2(n-1)})$

$(\frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2}}(n-1)},\frac{(n-1)s^2}{\chi^2_\frac{\alpha}{2}(n-1)})$

It seems the \overline{X} bug has indeed been fixed, and using a single $ for inline formulas no longer causes rendering failures.