Julia and Projective Geometric Algebra
<p>More concise implementations in software result in faster development, fewer bugs, and less technical debt. For example, <a href="https://youtu.be/SYMX6btLhlo?t=3786" rel="noopener ugc nofollow" target="_blank">this video</a> shows Dr. Todd Ell, senior technical fellow at Collins Aerospace (with 68,000 employees, the world’s largest supplier of aerospace components) describing how he is pushing to convert the highly regulated Collins Aerospace design and development tool chain currently based upon linear algebra to being based instead upon geometric algebra.</p>
<p>There are many “sub-algebras” within geometric algebra. Certain sub-algebras are particularly well-suited to solving certain types of problems. The sub-algebra called Projective Geometric Algebra (PGA) is particularly well-suited to translating and rotating and screwing (i.e., a combination of translating and rotating) solid objects. The PGA sub-algebra is also known as the <strong>P</strong>lane-based <strong>G</strong>eometric <strong>A</strong>lgebra.</p>
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