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update_markov_chains_I.md #454

Merged
merged 4 commits into from
Jun 5, 2024
Merged

update_markov_chains_I.md #454

merged 4 commits into from
Jun 5, 2024

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longye-tian
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@longye-tian longye-tian commented Jun 5, 2024

Dear John @jstac,

I have updated lecture markov_chains_I.md (#453 ). In particular, the changes are

Content

  • The first exercise -> The last exercise.
  • unbold future in Defining Markov Chains section.
  • study a Markov chains -> study Markov chains.
  • Add a link for marginal probability $\psi_t(x)$.
  • Unify postmultiply (using postmultiply instead of post-multiply in lieu with wikipedia)
  • Add a sentence clarifying $P^m(x,y)$.
  • Law of Large Numbers -> law of large numbers.
  • Check the capitalization of subtitles.
  • for all $t$ -> for all $t \ge 0$.
  • $\psi_t(0)$ is employment at [time $t$].
  • Delete the word 'Theorem' in the Theorem box.
  • Update the solution for exercise 1.

Code

  • Remove unused variables and shorten the visualization code for the network graph.
  • Update visualization code for the section on the Hamilton matrix.
  • Give some comments on the code in the qe library.
  • Use tuples whenever possible.

Best ❤️
Longye

This pull request updates lecture markov_chains_I.md. In particular,

## Content
- The first exercise -> The last exercise.
- Remove unused variables and shorten the visualization code for the network graph.
- unbold future in Defiinig Markov Chains section.
- study a Markov chains -> study Markov chains.
- Use tuples whenever possible.
- Give some comments on the code in the `qe` library.
- Add a link for marginal probability $\psi_t(x)$.
- Unify postmultiply (using postmultiply instead of post-multiply in lieu with wikipedia)
- Add a sentence clarifying $P^m(x,y)$.
- Law of Large Numbers -> law of large numbers.
- Check the capitalization of subtitles.
- for all $t$ -> for all $t \ge 0$.
- $\psi_t(0)$ is employment at [time $t$].
- Delete the word 'Theorem' in the Theorem box.
- Update the solution for exercise 1.
## Code
- Update visualization code for the section on the Hamilton matrix.
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@longye-tian longye-tian requested review from jstac and mmcky June 5, 2024 11:37
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github-actions bot commented Jun 5, 2024

@github-actions github-actions bot temporarily deployed to pull request June 5, 2024 12:04 Inactive
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@jstac
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jstac commented Jun 5, 2024

Nice work @longye-tian , many thanks.

@github-actions github-actions bot temporarily deployed to pull request June 5, 2024 23:41 Inactive
@github-actions github-actions bot temporarily deployed to pull request June 5, 2024 23:42 Inactive
@jstac jstac merged commit b24e737 into main Jun 5, 2024
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@jstac jstac deleted the update_markov_chain_I branch June 5, 2024 23:43
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2 participants