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Visual lab

Complex Function Color Lab

Domain coloring turns complex functions into something you can read at a glance: hue is phase, contour bands are magnitude, and overlays mark simple symmetry cues.

Function

f(z) = eml(z, 1)

A one-operator EML route: eml(z, 1) = exp(z) - ln(1).

It visually matches exp(z) because ln(1) is zero.

Controls

Scale: +/-3.0

Boundary

This is a visual intuition tool. It is not a modular-form implementation, a physics result, a safety result, or a claim about hardware behavior.

eml(x, y) = e^x − ln y

Research Developer Tools GitHub PyPI arXiv

Monogate Research · arXiv:2603.21852 · 265 equations · Senses live · EML Cost Conjecture (in development)