⚡ [Feature]: Add examples for specific DSC analysis tasks

[PPeitsch]

Problem Description

Following the refactoring of the examples/ directory (as proposed in a separate issue), there is a need to populate the new examples/dsc/ subdirectory with high-quality, focused examples that demonstrate the full capabilities of the DSC analysis module. The legacy dsc_example.py is insufficient as it does not showcase the module's versatility or produce optimal results.

Proposed Solution

Create a series of new, self-contained example scripts, each dedicated to a specific DSC analysis task. These scripts should generate realistic synthetic data, apply the relevant analysis functions, print clear results to the console, and generate publication-quality plots.

The following initial examples should be created:

1. polymer_analysis_example.py: Simulates the complete thermal analysis of a semi-crystalline polymer, demonstrating the detection of Tg, cold crystallization, and melting events.
2. heat_capacity_example.py: Details the process of calculating specific heat capacity (Cp) using the three-step method, including data generation and visualization.
3. baseline_comparison_example.py: Provides a direct visual comparison of the different baseline correction algorithms available in BaselineCorrector.
4. smoothing_effects_example.py: An educational example showing how different smoothing levels impact a noisy signal and its derivative, highlighting the importance of preprocessing.

Alternative Solutions

• This work directly addresses the need for better user guidance and showcases the new features introduced in v0.4.0.
• These examples will serve as a foundation for tutorials in the project's documentation.
• Each example should be self-contained and easy to run.

Additional Context

• All new example files will be placed in the examples/dsc/ directory.
• Synthetic data should be generated within each script to ensure they are runnable out-of-the-box.
• Plots should be clearly labeled and titled, following best practices for scientific visualization.

Implementation Details

No response

Guidelines

• I agree to follow this project's Contributing Guidelines
• I have searched for similar feature requests
• I understand that this is a request and implementation is not guaranteed