Generates visual geometric posters, infographic slides, flowcharts, and presentation diagrams via Canva's embed API.

Interactive compass & straightedge geometric constructions, conic intersections, transformations, and 3D cross-sections.

Calculates multi-curve continuous graphs, regressions, polar integrals, and real-time tangent slope traces.

Evaluates algebraic step transitions with 100% mathematical accuracy using randomized domain checks to eliminate hallucinations.

Solves complex differential systems, exact Laplace transforms, and physical constants with step algorithms.

Performs Gauss-Jordan elimination, matrix inversions, characteristic polynomial roots, and eigenvalues.

Searches indexed STEM peer-reviewed papers, extracting lemmas, proofs, and citation metadata.

Retrieves real-time scientific data, latest exam syllabus updates, and competition rankings.

Multi-modal vision scanner that parses handwriting, whiteboard drawings, and textbook diagrams into KaTeX.

Calibrates interval expansion and decay curves ($EF \ge 1.3$) for permanent memory consolidation.

Low-latency spoken voice tutor with natural mathematical formula speech synthesis and real-time audio waveforms.