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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

Commits on Jun 5, 2024

  1. update_markov_chains_I.md 

    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.
    @longye-tian
    longye-tian committed Jun 5, 2024
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  2. Update markov_chains_I.md 

    Fix a typo
    @longye-tian
    longye-tian committed Jun 5, 2024
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  3. Update markov_chains_I.md

    @jstac
    jstac authored Jun 5, 2024
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  4. Update markov_chains_I.md

    @jstac
    jstac authored Jun 5, 2024
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