Introduction: The Vatican Museum, with its unparalleled collection of art and history, is a must-visit destination. However, the popularity of this cultural gem often leads to crowds. To enhance your experience and savor the treasures in a more t...
God makes all things with the greatest economy and efficiency. That is the essence of MlE. MlE provides mathematical support for Darwin's theory of evolution. Redundant structures that serve no purpose and consume resources t...
What is SMM and why would you want it? If you are a self-driving company or a well-established company, then you may need a advertising campaign. SMM is a brand promotion in social networking sites. SMM stands for Social Media Marketing and is bas...
A Topological Extremum‑Seeking Solver for the NS Equations Based on the MOC‑DOG‑ECS‑MlE Framework 1 Introduction The Navier‑Stokes (NS) equations constitute the core governing system of viscous fluid dynamics. Conventional CFD solvers are ...
In 2025, the world of content has changed a lot because of the fast growth of artificial intelligence. Among the most useful and in-demand tools is AI paraphrasing tools. The tools help writers, students, and marketers rewrite content with ease, k...
In today’s global economy, big-box retailers and e-commerce giants often dominate our shopping habits. But supporting local businesses in the USA and Canada is more important than ever not just for economic growth, but for building vibrant, resili...
Basic Coupling Equation of Discrete Order Geometry (DOG): Generative Construction from Zhang's Matrix to FCE
Author: Zhang Suhang (Luoyang, Henan)
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Abstract
Discrete Order Geometry (DOG) takes discrete lattice points, hierarchical ...
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...
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...
--- The Qualitative Origin of the Obliquity of the Ecliptic: The Dual Balance of Revolution and Rotation Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Civilian Researcher --- Abstract Starting from the functional differences b...
Core Influencing Factors of Celestial Rotation and a Unified Theoretical InterpretationCelestial rotation is not an isolated motion phenomenon, but the result of the progressive transmission of spacetime distortion and the combined action of multi...
On the Homology of Algebra, Number Theory and Information Theory under the Multi-Origin Curvature FrameworkThis paper adopts the geometric system of Multi-Origin Curvature (MOC) as a unified perspective, attempting to sort out the homologous under...
The Noodle Board for gas stove users is an ingenious solution that not only improves the aesthetic appeal of your kitchen but also adds practicality to your cooking environment. Say goodbye to your stovetop's repetitive appearance and hello to a m...
Does lock security on PDF document hamper your workflow? It remains a prominent concern for many professionals when accessing the document. If the protection is no longer required, you might be wondering about ways to modify locked PDF in batch mo...
Recasting the Hodge Conjecture in an Extended Geometric Framework Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract The Hodge conjecture is usually stated as follows: on a smooth complex projective algebraic variety, every (p,p)-type ra...
Introduction:Modern technology has given rise to a myriad of inventive solutions that have transformed the way organizations and individuals work. The concept of Virtual Servers is one such technology that has gained substantial traction. In this ...
Have you ever captured a moment that is almost perfect, if not for a random passerby or an unexpected object tarnishing the view? In the world of digital photography, such instances are no longer a cause for frustration, thanks to the power of art...
Gated community flat for sale in Bhilwara offer safety, shared amenities, and a strong community lifestyle. With amenities like CCTV surveillance, parks, and gyms, they provide a safe environment for families. Their location near major roads and s...
For self-employed persons, dealing with an HMRC investigation self-assessment can be a difficult and frustrating affair. In such cases, working with an accountant can be quite beneficial in navigating the investigative process and maintaining comp...
Investing in the right box stitching machine can significantly improve the efficiency and quality of your packaging operations. These machines are essential for securing corrugated boxes, ensuring they are sturdy and durable during shipping and ha...
Startups are the source of innovation, always pushing the boundaries of technology and its applications. Simultaneous Localization and Mapping, also known as SLAM, is a technological marvel that is rapidly affecting the future of several sectors. ...
General relativity establishes that mass and energy curve four-dimensional spacetime, and gravitation arises as a geometric consequence of spacetime curvature. Gauge field theory describes electromagnetic fields via fiber bundle geometry, where th...
Family photos are more than just images; they are priceless moments frozen in time. These lovely moments, however, are frequently marred by watermarks. An AI watermark remover can help you remove a watermark from a photo editing app or an undesire...
Homologous Generation Theory of Mathematical Objects (GKT)
——A Meta-Theory on the Generative Structure of Mathematics
Author: Zhang Suhang Date: May 2026
This paper announces the birth of a new mathematical cognitive paradigm...
Frequency, Probability and Geometric Measure: A Trinity Author: Zhang SuhangAffiliation: Luoyang, HenanAbstractThis paper establishes the connection between Discrete Order Geometry and flat schemes, thereby bridging the logical and mathematica...
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...
The preparation of financial reports is an essential part of the process of managing the financial affairs of a limited company. These reports offer insightful information regarding the overall health and performance of the company's finances. Acc...
Applications of the UPG Framework: Central Limit Theorem, Statistical Inference, Machine Learning and Quantum Physics Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper serves as an application article for the Unifie...
The Continuous Limit of Discrete Order Geometry (DOG): A Study of the Correspondence Between Discrete Evolution and Differential Equations
Discrete Order Geometry (DOG) constructs a p...
The world of art and illustration is no stranger towards the influence of technology, with digital tools playing an increasingly part within the creative process. AI image enhancers, including AI image upscalers, emerged being a valuable tool for ...
