involute gearing effect of profile shift using parameter shift

I'm seeking an experienced programmer with expertise in Lua and MATLAB. This project will involve:

• Creating new scripts
• Performance optimization
• Detailed explanation of code

These scripts will cater to:

• Data Analysis
• Simulations
• Automation tasks

Since the input/output formats weren't specified, flexibility in handling various formats is a plus, though not necessarily required.

Ideal candidates should have a strong background in both Lua and MATLAB programming, with proven experience in efficient coding, optimization techniques, and clear annotation. Previous experience in handling tasks relating to data analysis, simulations, and automation will be highly preferred.