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mathswithmuza on Instagram: "Complex transforms are powerful tools in mathematics and physics that involve applying functions to complex numbers to alter their magnitude, direction, or both. These transformations, such as rotations, scalings, and Möbius transformations, can be visualized as manipulations of the complex plane—stretching, rotating, or warping it in various ways. For instance, multiplying a complex number by another rotates and scales it, while taking its reciprocal inverts the pla
mathswithmuza on Instagram: "Complex transforms are powerful tools in mathematics and physics that involve applying functions to complex numbers to alter their magnitude, direction, or both. These transformations, such as rotations, scalings, and Möbius transformations, can be visualized as manipulations of the complex plane—stretching, rotating, or warping it in various ways. For instance, multiplying a complex number by another rotates and scales it, while taking its reciprocal inverts the pla
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