Artists and enthusiasts alike are mastering a breakthrough tool that is changing the way we think about visual creation. Artificial intelligence-driven line drawings are redefining the relationship between digital technology and conventional sketc...
Generalized Upgrade of the Turing Computation Model: A Dimension-Ascension and Dimension-Reduction Dual Framework from One-Dimensional Sequential Computation to Multi-Dimensional Topological Parallel Computation Author: Zhang Suhang Abstract T...
Pet parents choose boarding services based on safety, cleanliness, trained staff, clear communication, transparent pricing, and daily updates that prove consistent, caring attention.
Flange weld testing is an essential procedure in the maintenance and construction of piping systems, ensuring that welded joints are structurally sound, leak-proof, and capable of withstanding high pressures and environmental conditions. At Red Do...
This Southeast Asian nation, a destination steeped in a rich tapestry of the past and present, boasts not only its famous sites. Beyond the celebrated highlights of Vietnam’s breathtaking bay and the bustling streets of H? Chi Minh City, awaits a ...
Unified Theory of Two Classes of Self-Similar Fractals Based on Continued Fraction Recursive Isomorphism Author: Zhang Suhang --- Abstract Classical fractal geometry has long maintained a division between two classes of self-similar geometric ...
All Two-Dimensional Figures Ultimately Reduce to the Ellipse: A Universal Ontological Argument Based on Multi-Origin Geometry and High-Dimensional Fiber Bundles Abstract Traditional unified theories of planar geometry can only establish the prim...
1.Introduction For a long time, I have believed that fractal geometry and continued fractions are related in some fundamental way.
where n is a finite positive integer and does not tend to infinity.Fractal geometry is recursion in geometry,...
Global Fermat Number Cyclotomic Iterative Geometry
Author: Zhang Suhang
Abstract
Fermat proposed the Fermat numbers F_k=2^{2^k}+1 and conjectured that all such numbers are prime. A century later, Gauss, in his Disquisitiones Arithmetic...
Dynamical Substrate of FCFG: Continued-Fraction Expansions of Complex Exponentials and Spin-Fractal Recursive IsomorphismAuthor: Zhang SuhangCore Axiomatic Support: FCFG Recursive Isomorphism Axiom (r_n = S_n); Multi-Origin Curvature (MOC) Framewo...
In the academic world, grading systems play a crucial role in assessing student performance. While many universities follow the SGPA (Semester Grade Point Average) system, others use CGPA (Cumulative Grade Point Average) to evaluate overall academ...
In the ever-changing landscape of e-commerce, intelligent customers are leveraging sophisticated technologies to improve their online buying experience. One of the most notable of these advances is the skilled use of return trackers, which efficie...
Tree Root-Shoot Isomorphism: A Natural Empirical Validation of Information Topology Author: Zhang Suhang --- Abstract This paper does not aim to investigate the growth patterns of plant organs. Rather, it selects the reversible transformation ...
In the same way that selecting the ideal wedding dress is essential, selecting the appropriate bridal undergarments is also essential. Not only do they offer comfort, but they also boost confidence and enhance the overall silhouette of your bridal...
Discovering a new nation is much more than simply tasting delicious local cuisine or taking in stunning scenery—it's also about having enlightening conversations with locals about their cultures and customs. Language limitations can prevent many t...
With study loans emerging as one of the most convenient ways for students to pursue their education abroad, financial companies in India have started offering education loans without the need for security or collateral. By excluding the need for s...
Unified Derivation of Inverse-Square Interactions under the Geometric Extremum Principle（GEP）
Based on the Geometric Extremum Principle, this paper takes spatial curvature as the core fundamental field quantity and combines the Maxi...
All Fundamental Two-Dimensional Geometric Figures Reduce to the Ellipse: A Unified Argument Based on Projective Equivalence and Curvature-Extremum Convergence Abstract Traditional Euclidean geometry has long classified planar figures according t...
Three observational evidences support the viewpoint of this paper: 1. The bending of electric arcs demonstrates that electric charges can induce local intrinsic curvature of the electromagnetic field, and electric current propagates along the ...
Structural Information Theory: The Dual-Layer Complementary Foundational Framework of Dimension-Preserving Topological Transport and Shannon Information Theory Author: Zhang Suhang (Heluo School of Mathematics) Abstract Shannon information theo...
The Topological Essence and Engineering Substance of Dimensional Ascent: Flux Expansion, Planar Point Spatialization, and the Maximum Information Efficiency Axiom from 2D to 3D
Core Axiomatic Support: Multi-Origin Curvat...
Nuclear spin induces intrinsic geometric distortion of the electromagnetic field, and the distorted field couples with the inherent intrinsic spin structure of electrons. When an electron propagates in vacuum, its spin persists and travels togeth...
--- Transcendental Continued Fraction Embedding and Multi-Origin Completion: The Grand Unified Framework of FCFG Fractal-Continued-Fraction Geometry Author: Zhang Suhang (Bosley Zhang) System Affiliation: FCFG Fractal-Continued-Fraction Geometr...
Let’s cut to the chase. If your business is online, chances are, fraud is a concern. In the United States alone, businesses lost over 4 billion USD to cybercrime in 2020. As more and more people begin using their devices for daily tasks such...
Variational Origins of Statistical Regularities: A Unified Framework from the Maximum Information Efficiency PrincipleAuthor: Zhang Suhang, LuoyangIndependent Researcher in Mathematics and Theoretical PhysicsAbstractClassical probability and stati...
Day thirty of the interstellar blockade. Ling, the youngest surgeon aboard the medical vessel, had just finished an operation. Before she could even take off her hazmat suit, she was swept out of the ship by a violent air current from an out-o...
Multi-Origin Geometry (MOC) and the Dual Convergence Theorem: A Unified Framework for Curvature-Driven Fluid Interfaces Author: Zhang Suhang, LuoyangAffiliation: Independent Researcher --- Abstract This paper proposes a unified analytical fram...
URFE Calculates the Hohmann Window
The following directly uses URFE → Newtonian gravity + Keplerian orbits to calculate, without extraneous detail, the launch time and orbital parameters for minimum fuel c...
Being 17 and in Class 12 feels like standing in the middle of a storm sometimes. There’s pressure to score well, plan a future, handle family expectations, and still be a teenager who wants to laugh, scroll Instagram, or hang out with friends. At...
Foundations of Arithmetic Manifold Geometry — A Programmatic OutlineAuthor: Zhang SuhangDate: May 2026AbstractIn traditional mathematics, geometry, mapping theory and number theory have long developed separately: differential geometry investigates...
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