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...
Multi-Origin Curvature (MOC) Framework: Basic Definitions and Geometric Conservation Law
Author: Zhang Suhang, Luoyang
Abstract
This paper establishes the basic geometric definitions of the Multi-Origin Curvature (MOC) framework. Three co...
MOC (Multi-Origin Curvature) Power Grid Design — Reconstructing the Spatial Philosophy and Design Paradigm of Power Grids, Breaking Free from the Rigid Path of “High-Voltage Dependence” 【Epigraph】 This paper does not elaborate on de...
On the Ontological Relationship among Geometry, Functions and Number Theory under the MOC System Within the framework of conventional mathematics, geometry, functions and number theory are relatively independent, each with its own scope of res...
A wonderful incursion into the realm of photography and art is being made by artificial intelligence (AI) in this period, which is characterized by the ongoing transformation of creativity brought about by digital innovation. It is no longer suffi...
On the Homology of Dynamics, Information Theory and Neural Networks under a Multi-Origin High-Dimensional Geometric FrameworkBased on the concept of multi-origin curvature space and high-dimensional projection, this paper explores the potential ho...
Navigating the sea of sartorial terms might feel like deciphering a complex code. From 'black-tie' to 'business casual,' understanding what each dress code genuinely requires will boost your confidence and guarantee you always make the right fashi...
One essential component stands out in the process of business owners and entrepreneurs navigating the complex environment of corporate finances, and that component is the work of Ltd company accountants. These financial professionals are an essent...
Unified Geometric Extremal Physics（UGEP）
Solution to the Plateau Problem under the Unified Geometric Extremal Physics （UGEP）Framework
— Physical Restatement, Paradigm Reduction, and Its Isomorphism with the Isoperimetric Problem and the Poin...
--- Part Two A Rigorous Global Proof of the Kakeya Conjecture via DOG-MOC Author: Zhang Suhang (Bosley Zhang) Location: Luoyang, Henan, China Date: May 2026 Abstract This paper, based on the self-developed Discrete Order Geometry (DOG) cov...
If you’re running a WordPress site and dealing with large media files (images, videos, documents), offloading your media files to an S3-compatible object storage solution can greatly improve site performance and reduce server load. By storing medi...
Die-cutting, a procedure that is crucial in industrial industries for precisely shaping and cutting materials, has undergone a tremendous development over the course of the years. Die-cutting, which was once mostly a manual process, has developed ...
During the whirlwind of buzz that shapes football, particularly during the transfer seasons, the speculation cycle creates a intricate network of stories. As supporters across the globe cling to every snippet of information about potential signing...
When to travel to Nigeria
Are your prized images damaged by blur? Do you wish you could wave a magic wand over them to restore their clarity? Well, thanks to current technological marvels, there just might be! You can now easily unblur photographs using AI, guaranteeing th...
--- Continuous-Field Analytical Derivation of the Probability–Frequency-Difference Relation in MOC Multi-Origin Higher-Dimensional Geometry
Abstract: Based on the axiomatic system of continuous manifolds in Multi-Origin Cosmo-geometry (MOC), e...
Jack was a striking high school student—sunny, handsome, and tall. He had no shortage of girls admiring him from afar, yet his heart belonged entirely to Alice, his foreign language teacher. Alice came from a wealthy family; her father was a mine ...
Charge annihilation, simply put, is when positively and negatively charged particles meet, disappear together, and convert into energy.The most common example is electron-positron annihilation.An electron is a tiny negatively charged particle and ...
The Combinatorial Axiomatic Basis of Discrete Order Geometry (DOG)
— A Preliminary Exploration of a Combinatorial Generative Framework for Geometric Configurations
Author: Zhang Suhang (Luoyang, Henan)
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Classical geomet...
The holiday season is upon us, bringing with it the magic of Christmas—a time for joy, togetherness, and spreading warmth and love to those who mean the most to us. A heartfelt Christmas greeting can brighten someone’s day, making them feel cheris...
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Beneath the setting sun, the walls of the Women’s Kingdom glowed with a soft pink hue. Xuanzang reined in his white horse, his Adam’s apple bobbing unconsciously. The air was thick with a cloying, sweet fragrance, strangely familiar. Sun Wukon...
Discrete Order Geometry (DOG) and Topology: An Open Research Framework for Non-Connected Ordered Spaces
Author: Zhang Suhang Affiliation: Luoyang, Henan
Discrete Order Geometry (DOG) does not take spatial connectivity as ...
Multiple Integrals in Multi-Origin Curvature (MOC) Geometry
(Including the Mathematical Definition of “Integrate First, Then Couple”)
Core Thesis: The classical multiple integral in a single‑origin Euclidean space is a degenerate special ca...
On the Central Position of Geometry in Mathematics
For a long time, many people merely regard mathematics as a tool for calculation and problem-solving, which greatly narrows its true meaning. Mathematics is essentially an organic and vibran...
Arithmetic Field Steady‑State Solution Determination Rules Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Eighth Paper --- Abstract This paper is ...
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...
Core Innovations & Complete DerivationEnglish Version0. Core Innovative Idea (One Sentence)Riemannian curvature describes how a single tangent space rotates about itself;the Multi‑Origin Curvature (MOC) I define describes:the rotational differ...
Engaging in any type of project requires knowledge and skill, especially when the point at issue is about a real estate business. If you are buying or selling property in the game, there are many rules to be followed. Otherwise, your final result ...
Optimizing vehicle utilization in logistics is a critical element in achieving efficient and sustainable supply chain operations. By embracing cutting-edge technology, data-driven decision-making, and collaborative strategies, companies can simult...
