Sweeping Subnets, Saddle Maps, and Complex Analysis

· The Collected Works of Parker Emmerson Book 7 · Yeshuason
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These involved theorems on sweeping nets, saddle maps and complex analysis are a thorough examination of the method an its fundamental mechanics. The basic foundation of this analytical method is useful to any artificer of mechanical programs or development of software applications that involve computer vision or graphics. These methods will have application to further theories and methods in string theory and cosmology or even approximation of environmental factors for machine learning.

Sweeping Subnets, Saddle Maps, and Complex Analysis



Formalizing Mechanical Analysis of Sweeping Nets I

Formalizing Mechanical Analysis of Sweeping Nets II

Generalizations of Sweeping Nets in Higher Dimensions

Formalizing Mechanical Analysis of Sweeping Nets III

Formalizing Mechanical Analysis of Sweeping Nets IV

Analyzing Zeros of the Riemann Zeta Function Using Sweeping Net Methods

Proof of Riemann Hypothesis Using Set Theoretic and Sweeping Net Methods

Conjecture on Perfect Numbers

Integration of Tensor Fields with Angular Components: An Analytical and Computational Study

Optimization Paths for Energy Numbers

Cone Formation from Circle Folding: A Comprehensive Analysis

Di-Cones

Defining π via Infinite Densification of the Sweeping Net and Reverse Integration

Non-Commutative Scalar Fields

Generalized Theory of Group Integration

Math of Ghosts, Phantoms

Fractal Morphisms and the World Sheet

Fractals

Hypersphere


formalizing mechanical analysis mechanical analysis sweeping nets sweeping subnets infinity analysis complex analysis geometry mapping functor di-cone di-cones two-cones optimization paths for energy numbers energy numbers numeric energy pi fractal morphisms stability perturbation robustness topology visual example differntiability circle cone closed interval convergence uniform conformal jacobian approximation error lower-order derivative talyor series taylor expansion manifold boundary extension vectorization parallel processing load balancing memory management degenerate directions combined approximation constructing error estimation singularity reflection principle morse function tubular neighborhood hypercone fractals riemann hypothesis proof of riemann hypothesis set theory integrand

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