[doc] fixed typos in docs/README.md (#3082)

docs/README.md

@@ -14,7 +14,7 @@
 
 ## 📝 Overview
 
-We evaluated various existing solutions for documentation in the community and discussed their advantages and disadvangtes in the [issue #2651](https://github.com/hpcaitech/ColossalAI/issues/2651). Therefore, we propose to build a more modern and robust documentation system by integrating the Sphinx [autodoc](https://www.sphinx-doc.org/en/master/usage/extensions/autodoc.html) function and the [Docusaurus](https://docusaurus.io/) framework.
+We evaluated various existing solutions for documentation in the community and discussed their advantages and disadvantages in the [issue #2651](https://github.com/hpcaitech/ColossalAI/issues/2651). Therefore, we propose to build a more modern and robust documentation system by integrating the Sphinx [autodoc](https://www.sphinx-doc.org/en/master/usage/extensions/autodoc.html) function and the [Docusaurus](https://docusaurus.io/) framework.
 
 ## 🗺 Module Structure
 
@@ -29,15 +29,15 @@ We evaluated various existing solutions for documentation in the community and d
 ```
 
 The documentation module structure is shown above:
-1. source: This folder contains the multi-language documentation files.
+1. source: This folder contains multi-language documentation files.
 2. `sidebars.json`: The `sidebars.json` defines the table of content for the tutorials. You need to update this file when a new doc is added/deleted.
 3. `versions.json`: The `versions.json` in the **main branch** in the **latest commit** will be used to control the versions to be displayed on our website
 
 ## 🧱 Our Documentation System
 
-We believe that there are several advantages from the existing system can be combined for simplicity, usability and maintainability:1
-1. Support Markdown](https://www.markdownguide.org/), we belive is a more popular language for writing documentations comapred to [RST](https://docutils.sourceforge.io/rst.html).
-2. Support Autodoc, which can automatically generate documentation from the docstrings in the source code provided by [Sphinx](https://www.sphinx-doc.org/en/master/).
+We believe that the combination of the existing systems can yield several advantages such as simplicity, usability and maintainability:
+1. Support [Markdown](https://www.markdownguide.org/). We believe is a more popular language for writing documentation compared to [RST](https://docutils.sourceforge.io/rst.html).
+2. Support Autodoc. It can automatically generate documentation from the docstrings in the source code provided by [Sphinx](https://www.sphinx-doc.org/en/master/).
 3. Support elegant and modern UI, which is provided by [Docusaurus](https://docusaurus.io/).
 4. Support MDX for more flexible and powerful documentation, which is provided by [Docusaurus](https://docusaurus.io/).
 5. Support hosting blogs/project home page/other pages besides the documentation, which is provided by [Docusaurus](https://docusaurus.io/).
@@ -46,7 +46,7 @@ Therefore, we have built the [ColossalAI-Documentation](https://github.com/hpcai
 
 ## 🎊 Contribution
 
-You can contribute to the documentation by directly set up a Pull Request towards the `docs/source` folder. There are several guidelines for documentation contribution.
+You can contribute to the documentation by directly setting up a Pull Request towards the `docs/source` folder. There are several guidelines for documentation contribution.
 
 1. The documentation is written in Markdown. You can refer to the [Markdown Guide](https://www.markdownguide.org/) for the syntax.
 2. You must ensure that the documentation exists for all languages. You can refer to the [Adding a New Documentation](#-adding-a-new-documentation) for more details.
@@ -68,7 +68,7 @@ Let's assume that you want to add a file called `your_doc.md`, your file structu
   - sidebars.json  # add your documentation file name here
 ```
 
-Meanwhile, you need to ensure the `sidebars.json` is updated such that it contains your documentation file. Our CI will check whether a documentation exists for all languages and can be used to build the website successfully.
+Meanwhile, you need to ensure the `sidebars.json` is updated such that it contains your documentation file. Our CI will check whether documentation exists for all languages and can be used to build the website successfully.
 
 ### 🧹 Doc Testing
 
@@ -78,7 +78,7 @@ Every documentation is tested to ensure it works well. You need to add the follo
 <!-- doc-test-command: $command  -->
 ```
 
-Meanwhile, only code labelled as a Python code block will be considered for testing.
+Meanwhile, only code labeled as a Python code block will be considered for testing.
 
 ```markdown
     ```python
@@ -98,13 +98,13 @@ Lastly, if you want to skip some code, you just need to add the following annota
 <!--- doc-test-ignore-end -->
 ```
 
-If you have any dependency required, please add it to `requriements-doc-test.txt` for pip and `conda-doc-test-deps.yml` for conda.
+If you have any dependency required, please add it to `requriements-doc-test.txt` for pip and `conda-doc-test-deps.yml` for Conda.
 
 
 ### 💉 Auto Documentation
 
 Lastly, you may want to include the API documentation for a class/function in your documentation for reference.
-We support `autodoc` to extract the docstring and transform it into a Web element for elegant display.
+We support `autodoc` to extract the docstring and transform it into a Web element for an elegant display.
 You just need to add `{{ autodoc:<mod-name> }}` in your markdown as a single line. An example is given below and you can see the outcome in [this PR](https://github.com/hpcaitech/ColossalAI-Documentation/pull/175).
 
 ```markdown