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...
Since the experience turned out to be amusing, I thought I'd describe what it was like for me to receive a blackmail attempt via spam. The blackmailer did not get off to an auspicious start: the email was from "Anonymous Hacker". As opposed to....
Society is at a tipping point. We have recently gone through the Covid-19 pandemic and it’s still unclear if this pandemic is winding down or not. One major change brought on by the last few months has been the number of companies that made the ...
Twitter is one of the best social media platforms for businesses, but it can take a lot of time if you're not careful. If you have to tweet for a business or brand (maybe you have your own home-based business), then there are ways you can save tim...
The most important skill to learn in today’s world is to know how to write a computer program. Today, computers have entered in almost every industry. Be it the autopilot in an aircraft or digital speedometer in your bike, computers in various for...
Paper 2: Geometric Realizations of One-Dimensional Probability Distributions: Bell Curve, Staircase, Lattice, and Fractal
Author: Zhang Suhang
Affiliation: Luoyang, Henan
Abstract
Continuing the probabilistic-geometric isomorphism fr...
--- Extended Discussion and Academic Boundaries of the MOC System Author: Zhang Suhang, Luoyang Abstract: This paper serves as a supplementary note to the first three papers of the MOC system. It accomplishes only two core tasks: first, it poin...
--- On the Essential Identity of Binary and the Law of Excluded Middle and Its Core Significance Abstract This paper aims to clarify the intrinsic relationship between binary (the binary numeral system) and the law of excluded middle (LEM). Bre...
On the hunt for a great software developer? Many recruiters turn to their networks and employee referrals in today’s competitive market. Others get creative in how they reach out to potential new hires. But, your best efforts don’t lend any new le...
It controls the flow rate and force of liquids, air, or other gaseous means by a duct, system, or loop. These flow switches or sensors can be used to control flow at a given period. It is also set up to control total flow always. Expertly, a flow ...
Flow meters hold the amount of liquid flowing through a pipe, vital for most industrial methods.As is mostly the case, there are different analysis technologies available. To pick the apt technology, it is essential to know the kind of liquid you ...
Paper 5: Stochastic Processes and Geometric Flows: From Random Walks to Brownian Motion and Quantum Probability Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper extends the probability-geometry isomorphism frame...
Paper 3：Geometric Embedding of Multivariate Random Variables: A Unified Triple Operation of Joint Distribution, Marginalization, and Conditioning Author: Zhang Suhang Affiliation: Luoyang, Henan, China Abstract Building upon the algebraic-prob...
Title: The Essential Solution to the Three-Body Problem – Higher-Dimensional Curvature Vector Conservation and Coupled Steady State Author: Zhang Suhang, Luoyang Abstract: Based on the MOC (Multi-Origin Curvature) axiomatic system, this paper pr...
Chapter 5 The Emergence of Binary: Symbolization of the Law of Excluded Middle — Binary is the minimal symbol set of the law of excluded middle, and numeral systems are counting modes after projection Author: Zhang Suhang (Luoyang, Hena...
Paper 7: Flat Probabilistic Schemes — Migration from Geometric Measure Spaces to Étale Sites
Author: Suhang Zhang, Luoyang, Henan Abstract
Based on the axiomatic system of probability geometry established in previous papers (Paper 1 & P...
--- Paper 1: The Fundamental Paradigm of Probability-Geometry Isomorphism: From Gaussian Distributions to General Measure Correspondences
Author: Zhang Suhang, Luoyang, Henan
The probability density function of the Gaussian dist...
The Unified Origin of Celestial Motion — Both Revolution and Rotation Are Inevitable Consequences of Curvature Vector Conservation Author: Zhang Suhang, Luoyang Abstract: Building upon the axiomatic system of MOC curvature vector conservation an...
A General‑Solution for Geometric Extremal Problems under the Π‑Operator Framework — The Rotational‑State Bridging Principle Author: Zhang Suhang (Luoyang School of Mathematics) Date: August 2026 Abstract Traditionally, the Π‑operator ...
Paper 6: The Unification of Algebra, Probability and Geometry: The New UPG Paradigm — History, Framework and Applications Author: Zhang Suhang
---
This paper is a review and applications paper in...
Bottom‑Level Mathematical‑Physical Reconstruction of Newton’s Law of Universal Gravitation and Proof of Mass‑Force Homology
Abstract In traditional classical mechanics, Newton’s law of universal gravitation is treated as an empirically induced...
The Final Destination of Energy: Origin of Dark Matter and Dark Energy via Energy‑Level Degradation
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: August 2026
In the standard Λ‑CDM cosmological model, ordinary matter, d...
The Algebraic Factorization Channel of the Π‑Operator System — A Unified Characterization of Inverse‑Product Operator and Unique Factorization Domains Author: Zhang Suhang (Luoyang School of Mathematics) Date: June 2026 References: Omitted ...
Connections between UPGS (Uniform‑Plateau Probability Scheme) and ∞‑Toposes Author: Zhang Suhang Date: August 2026 Abstract Lurie’s ∞‑topos theory elevates Grothendieck toposes to the level of ∞‑categories, furnishing a unified framew...
Paper 2-4: Quadratic Solids of Revolution: Generalization of the Π Operator for Ellipsoids and Analysis of Eccentricity Effects
（Luoyang School of Mathematics） Abstract
An ellipsoid is a natural generalization of a...
Chapter 6 ：Reconstruction of the Three Fundamental Laws of Logic: The Law of Identity, the Law of Contradiction and the Law of Excluded Middle as Products of Low-Dimensional Projection Author: Zhang Suhang, Luoyang, Henan Abstract This...
Paper 3-1: Basic Algebraic Operations of the Π Operator: Scalar Multiplication, Addition and Inverse Elements
Author: Zhang Suhang （Luoyang School of Mathematics） Abstract
As a core tool for dimensional transformation, the algebraic struct...
Chapter 7： Conclusions and Outlook: Classical Logic as a Special Case of MOC Logic — Toward a New Hierarchical Logic System Author: Zhang Suhang, Luoyang, Henan Abstract This is the final chapter of the series Geometric Origin of th...
Paper 4: Geometric Reconstruction of Probability Axiom System: Kolmogorov Axioms Equivalent to Geometric Measure Axioms
Author: Zhang Suhang Affiliation: Luoyang, Henan
This paper accomplishes a landmark unification between pr...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
