What is Guerilla Marketing? Before we get into details about guerrilla marketing for lawyers, a quick note about what this marketing actually is! The term ‘Guerilla Marketing’ was first coined by the American business writer and author, Jay Conr...
Scientific Implications of Frequency Difference Determining Probability: God Does Not Play Dice This conclusion settles the long-standing debate between Bohr and Einstein. If we follow Bohr’s standpoint, the universe would descend into chaos. ...
Frequency Difference Determines Probability: Geometric Proof of God Does Not Play Dice from the Perspective of Discrete Order Geometry Author: Zhang Suhang Address: Luoyang, Henan, China Abstract The intrinsic randomness of probabi...
Preliminary Exploration of the Fusion Configuration as a Concrete Prototype of Fiber Bundles Author: Zhang Suhang, Luoyang, Henan
--- Abstract Based on previous research results on spherical cap‑derived self‑similar geometry (SCD‑SG), thi...
Spherical-Cap Derived Self-Similar Geometry (SCD-SG): A New Natural Finite-Level Spherical Composite Solid Geometry Author: Zhang Suhang, Luoyang, Henan Abstract Nature abounds with three-dimensional composite configurations featuri...
Application Chapter —— Grounded Mapping of the Three‑Layer Number‑Theoretic Structure in Computing and Engineering
Author: Zhang Suhang (Luoyang, Henan)
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Abstract Based on the three‑layer structure of “prime primitive – regular co...
Part Three: Fractal-Coefficient Coupled Evolution —— Synchronous Mapping from Numerical Parameters to Graphical Forms
Abstract Based on the analogical framework and axiomatic system establish...
Part Two: Axioms and Mathematical Formulas —— Formal Foundations of the Composite Number Construction System
Abstract Based on the analogical framework of “primes–composites” and “fractal pri...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Author: Zhang Suhang, Luoyang, Henan
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
Frequency Difference Determines Probability Distribution: Empirical Verification Based on Multi‑Country Academic Dissemination Data Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract The core proposition of Discrete Order Geometry (DOG)—...
Curvature-Driven Fluid Equation Verification via Discrete Order Geometry: A Numerical Case Study
Author: Zhang Suhang (Independent Researcher, Luoyang, Henan)
Abstract
Within the Multi-Origin Curvature (MOC) framework, the stea...
Proof of Global Smooth Solutions to the Navier-Stokes Equations within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The existence of global smooth solutions to the Navier-Stokes (NS) equati...
Discrete Order Geometry (DOG) and Knot Topology: From Continued Fraction Recursion to Interdisciplinary Topological Applications
Knot topology has long been regarded as a branc...
Discrete Order Geometry (DOG) and Harmonic Analysis: A Unified Framework for Decomposition and Reconstruction of Smooth Fields
Author: Zhang Suhang Independent Researcher · Luoyang
This paper establishes a fundamental com...
Proof of Existence and Uniqueness of Smooth Solutions to Navier-Stokes Equations within DOG/MOC/ECS/MIE Framework (Supplemented Revised Version) Author: Zhang Suhang Luoyang, Henan Abstract The global existence of smooth solutions...
Proof of the ABC Conjecture within the DOG/MOC/ECS/MIE Framework
The ABC conjecture is a central problem in number theory. Shinichi Mochizuki attempted to prove it using his...
Proof of the Twin Prime Conjecture within the DOG/MOC/ECS/MIE Framework
The twin prime conjecture is a century‑old core problem in analytic number theory. Its weak version, p...
Yang–Mills Equation Derived Core Formulas for Spectral Counting
Consistent with the DOG/MOC/ECS/MIE framework, this paper starts from the fundamental Yang–Mills equations an...
Proof of the P vs. NP Problem within the DOG/MOC/ECS/MIE Framework
The P vs. NP problem is a central open question in theoretical computer science, asking whether every prob...
Proof of the BSD Conjecture within the DOG/MOC/ECS/MIE Framework
The BSD (Birch and Swinnerton-Dyer) conjecture is a Millennium Problem in number theory concerning the equal...
Differential Equations as the Continuum Limit of DOG Discrete Order
Differential equations are the mainstream mathematical tool for describing the evolution of continuous syste...
DOG Discrete Order Geometry and Lattice Theory: Algebraic Representation of Order Structures Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Lattice theory studies algebraic structures in which any two elements in a partially ordered ...
DOG Discrete Order Geometry and Group Theory: The Origin of Symmetry in Constant-Coefficient Recursion
Group theory is the core language for describing symmetry in modern mathe...
DOG Discrete Order Geometry and Modular Forms: The Recursive Nature of Coefficient Sequences
Modular forms are central objects in number theory and algebraic geometry; their Fo...
The Sea of Paradigms: From Grothendieck to the Dissolution of Hard Problems in a New Geometric Framework Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Grothendieck once likened his mathematical method to a "rising tide": instead of ...
Paradigm Incorporation of the Hodge Conjecture – Natural Dissolution within the MOC‑DOG‑ECS Framework
The Hodge conjecture is one of the seven Millennium Prize Problems. Tradi...
DOG Primitive Theorem: Natural Emergence of Algebraic Cycles in Discrete Order Geometry
Algebraic cycles (algebraic subvarieties) are the central objects of the Hodge conjectur...
ECS-Hodge Correspondence Categorical Equivalence Between Symmetric Conservation Modes and Hodge Classes Author: Suhang Zhang Address: Luoyang, Henan Abstract Hodge classes serve as core objects in algebraic geometry, defined as ra...
MOC Embedding Theorem: Embedding Representation of Complex Projective Algebraic Varieties in Multi-Origin Curvature Geometry Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Traditional complex projective algebraic varieties are built ...
--- A Study of Fractal Order and Chaos Emergence Mechanisms Based on Finite-Level Continued Fraction Sequences Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Fractal geometry and continued fractions belong respectively to the two ma...