MathxMatrix on Instagram: "Conformal mapping on the complex plane. In complex analysis, a conformal mapping is a function that transforms one region of the complex plane into another while preserving the angles between curves. If two curves intersect at a specific angle in your original "domain," their transformed versions will intersect at that same angle in the "image.""

MathxMatrix on Instagram: "The Lebesgue integral: a smarter way to calculate the area under a curve. While the traditional Riemann integral (what we learn in school) breaks area into vertical strips, the Lebesgue integral breaks it into horizontal slabs. For "nice" functions, they give the same answer. But Lebesgue is more powerful-using Measure Theory to handle "pathological" or jagged functions where traditional calculus fails. Original creation by @abidebyreason (also on YT)"

Understanding Taylor Series for Precise Sin(x) Approximation