I♥LA

Communicating linear algebra in written form is challenging: mathematicians must choose between writing languages that produce well-formatted but semantically-underdefined representations such as LaTeX; or with well-defined semantics notation unlike conventional math, C++/Eigen. In both cases, the underlying obfuscated by requirements of esoteric language syntax (as LaTeX) awkward APIs due to C++). The gap results communication challenges, including underspecified and irrepro-ducible research results, difficulty teaching math concepts complex numerical code, well repeated, redundant, error-prone translations from communicated executable code. We introduce I♥LA, a designed closely mimic conventionally-written algebra, while still ensuring an unambiguous, compilable interpretation. Inspired Markdown, for naturally-structured plain text files translate into valid HTML, I♥LA allows users write compile same source LaTeX, C++/Eigen, Python/NumPy/SciPy, MATLAB, easy extension further programming environments. outline principles our design highlight decisions balance readability precise semantics, demonstrate through case studies ability bridge semantic unambiguous interpretation