[ar1_processes] to [eigen_II] [heavy_tails][inequality]Example and spelling

[longye-tian]

Dear John @jstac and Matt @mmcky ,

This pull request is to check the example admonition and spelling of from lecture [ar1_processes.md] to [eigen_II.md] according to #520 and #532.

The details are shown below:

• ar1_processes.md
  • add two example admonitions
• business_cycle.md (no typos, no example admonition)
• cagan_adaptive.md (no typos, no example admonition)
• cagan_ree.md
  • change 'a central banks's' to 'a central bank's'
  • change 'fisal' to 'fiscal'
  • change " to start a persistent inflation the government 'beings' " to 'begins'
• cobweb.md (no typos, no example admonition)
• commod_price.md (no typos, no example admonition)
• complex_and_trig.md
  • add one example admonition
• cons_smooth.md
  • change 'consumption smoothing model' to 'consumption-smoothing model' for consistency
  • change 'first order' to 'first-order' for consistency
  • change 'finanical' to 'financial'
  • change 'accross' to 'across'
  • change 'enlighening' to 'enlightening'
  • change the Capitalized title to match the style guide
  • change 'create a function that generate' to 'create a function that generates'
• eigen_I.md
  • add one example admonition
• eigen_II.md
  • change the subtitle to lower case to match the style guide
  • change 'Perron-Frobenius Theorem' to 'Perron-Frobenius theorem' for consistency (used in the current subtitles and also in wikipedia)
  • add example admonition
• heavy_tails.md
  • change 'from world population review' to 'from the World Population Review'
  • change 'Law of Large Numbers' to 'law of large numbers' to match with Wikipedia form as discussed before
  • change 'heavy tailed' to 'heavy-tailed' for consistency
  • change 'The value the tail index' to 'The value of the tail index'
  • change 'Here is code that generates' to 'Here is the code generates'
  • add two example admonitions
• inequality.md
  • change 'per capital' to 'per capita'
  • change 'others is zero' to 'others are zero'
  • change 'the world bank' to 'the World Bank' to match Wikipedia
  • add empty link to match with the style guide
  • change 'Western economies GDP' to 'Western economies'GDP'
  • add one example admonition
• input_output.md
  • change 'input output' to 'input-output' for consistency
  • change feasible allocations must satisfy to feasible allocations must satisfy to match with style guide
  • change 'a two good economy' to 'a two-good economy'
  • add two example admonitions containing code blocks.

Best ❤️
Longye

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[jstac]

Many thanks @longye-tian . This is very helpful.

@mmcky , please review and merge when ready.

[mmcky]

thanks @longye-tian this is great work.