Vorticity map, partial derivatives equation, turbulence

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2 years ago

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So, my fellow seekers of mathematical truth, let us don our mathematical finery and embrace the duality of global and local. With the modulus of continuity as our guide, we shall unravel the secrets hidden within the curves and functions. With each step, we shall uncover the delicate balance between the minute details and the sweeping vistas, all while basking in the radiance of mathematical style.[Liwa Dunes] .The interplay between the local and the global is a mathematical elegance. The loca

$[fractal art: Mandelbulb 3d] Diptych with his synthography and my fractal [Shattered Image, Shot the texture and then rewound the film and double exposed from multiple patterns]$

[Ultra Fractal art] Deux heures moins le quart avant Jésus-Christ, by Jean Yanne

By examining the modulus of continuity, mathematicians can analyze the convergence, differentiability, and continuity of functions and sequences. It helps us understand the smoothness properties on both local and global scales, shedding light on the intricate relationships between local fluctuations and global patterns. In the realm of analysis, the modulus of continuity plays a fundamental role in studying functions' properties, such as Lipschitz continuity, Hölder continuity, or even different

Hi! The creator too is blind, Struggling toward his harmonious whole, Rejecting intermediate parts, Horrors and falsities and wrongs; Incapable master of all force, Too vague idealist, overwhelmed By an afflatus that persists. For this, then, we endure brief lives, The evanescent symmetries From that meticulous potter's thumb.

$[asymmetric fractal art: Mandelbulb 3d] Diptych with his synthography and my fractal [Shattered Image, Shot the texture and then rewound the film and double exposed from multiple patterns]$

$Quaternion and Hypercomplex Fractals Description: Generalization of Mandelbrot and Julia fractals using quaternion (4D) or hypercomplex numbers, then projected into 3D. Characteristics: More exotic and less intuitive shapes, often with “holes” or ribbon-like structures. [in fractales IFS with Apophysis refined in Mandelbulb 3D]$

$[fractal art: Mandelbulb 3d] Diptych with his synthography and my fractal [Shattered Image, Shot the texture and then rewound the film and double exposed from multiple patterns]$

$Fractal Art, as the name says, is fractals made art. Its is not drawn or painted by hand (traditional or digital). It is created with fractal generating software (for example, Apophysis, Mandelbulb 3d, Ultra Fractal, and many others), in roughly two step: defining the parameters for a set of selected functions, and rendering it into actual artwork. Although some fractals also may incorporate non fractal images, certain photomanipulation techniques (particulary plugins similar to fractalius or ka$