Update README.md

added hyperlinks in README

README.md

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 </p>
 
 
-**JaxADi** is a powerful Python library designed to bridge the gap between `casadi.Function` and JAX-compatible functions. By leveraging the strengths of both CasADi and JAX, JAXADI opens up exciting opportunities for building highly efficient, batchable code that can be executed seamlessly across CPUs, GPUs, and TPUs.
+**JaxADi** is a Python library designed to bridge the gap between [CasADi](https://web.casadi.org/) based and [JAX](https://jax.readthedocs.io/en/latest/index.html#)-compatible functions. By leveraging the strengths of both CasADi and JAX, JaxADi opens up exciting opportunities for building highly efficient, batchable code that can be executed seamlessly across CPUs, GPUs, and TPUs.
 
-JAXADI can be particularly useful in scenarios involving:
+JaxADi can be particularly useful in scenarios involving:
 
 - Robotics simulations
 - Optimal control problems
@@ -19,7 +19,7 @@ JAXADI can be particularly useful in scenarios involving:
 
 ## Installation
 
-You can install JAXADI using pip:
+You can install JaxADi using pip:
 <!-- Change once it will be realeased -->
 
 ```bash
@@ -34,7 +34,7 @@ mamba env create -f environment.yml
 
 ## Usage
 
-JAXADI provides a simple and intuitive API:
+JaxADi provides a simple and intuitive API:
 
 ```python
 import casadi as cs
@@ -65,7 +65,7 @@ output = jax_fn(input_x, input_y)
 
 ## Examples
 
-JAXADI comes with several examples to help you get started:
+JaxADi comes with several examples to help you get started:
 
 1. [Basic Translation](examples/00_translate.py): Learn how to translate CasADi functions to JAX. 
 
@@ -113,4 +113,4 @@ This project draws inspiration from [cusadi](https://github.com/se-hwan/cusadi),
 For questions, issues, or suggestions, please [open an issue](https://github.com/based-robotics/jaxadi/issues) on our GitHub repository.
 
 
-We hope JAXADI empowers your numerical computing and optimization tasks! Happy coding!
+We hope JaxADi empowers your numerical computing and optimization tasks! Happy coding!