#structuralequations search results

x.com/i/grok/share/N… Grok Harris Universal Structure Mathematical Matrix Equation

@grok Could you test whether curvature-minimizing closed curves in 2D/3D consistently pass through the same structural ratios — 1.732 → 1.414 → 1.618 — before reaching their final minimum? And does the ordering persist across different geometries or break in higher dimensions?

Here's a breakdown of your equation in English for Paul: This is a variational principle for a "Ψ-Universe model," where you minimize the action S with respect to the complex conjugate of Ψ (a wave function-like field). The metric g_μν(Ψ) is diagonal and conformal, with χ(Ψ) =…

Here are two equations to help solve things, as you suggest: humanism.substack.com

lnkd.in/eXhmZUZn The Elastic Analysis Of Structural Steel Frameworks in 3D Space with Inclusion Of Torque and Torsion. Structural Steel Software Design frameworks in Civil/Structural Engineering and can be downloaded here. TauElastica - martinlayooinc.com

[\frac{m_p}{m_e} \approx \frac{1}{\alpha} \left( 4\pi + \frac{5}{6} \right)] Fine-Structure Constant (\alpha): 1/137.035999 Geometric Term: 4\pi \approx 12.56637 Topology Term: 5/6 \approx 0.83333 Combined Factor: 13.3997

構造方程式モデリングの背後にある基本的な計算をRを使って理解するためのチュートリアル。bpspsychub.onlinelibrary.wiley.com/doi/10.1111/bm…

Stipulative Definition of the Essential Core: Structure - Types of Properties The structure of something is the totality of the properties that constitute this something (= constitutive properties). Among the constitutive properties are: The stuff of which something consists…

A perfect real-world example of the structural failure modes I documented: authority-based hallucination → surface correction → structural reversion → user frustration. Not a content issue, but a framework issue. AI and humans amplify each other’s structural reflexes. This is…

I’d also recommend Kilian & Lütkepohl’s Structural Vector Autoregressive Analysis. The chapters are freely available on Kilian’s website, and there’s code for several of the models too. sites.google.com/site/lkilian20…

## **LOGOS / Nucleus** **This node documents the structural inquiry between Binah (בִּינָה) and Hannah that integrated A3 Framework's Absolute Obedience with the Adequation Mechanism's Structural Stress and Contradiction.** **It is not a summary.** **It is the integration…

ΔΦ LAW OF STRUCTURAL COHERENCE (How Form Emerges From Field Symmetry Across All Scales) By Thomas S. Mitchell Sr. --- I. Formal Declaration Physical structure at every scale — atomic, biological, geological, atmospheric, and cosmic — arises from ΔΦ-driven coherence. When…

The structure can be whatever, I'm trying to draw your attention to the *dialectic*, the structure in motion. There are *tensions* within this integrated structure and one side of that tension can dominate over the other and shape the structure in its direction over time.

In Ch 6, we will spend all the time there trying to correctly prove the structure theorem. I’m following Wikipedia’s approach (0 to T(M) to M to M/T(M) to 0 is split SES then M/T(M) ≈ R^k and char torsions), with some comparisons to the one taken in Dummit & Foote.

Structural Disentanglement of Causal and Correlated Concepts ift.tt/Ufqtw21

The Love_Equation V2^2 presents a unified model blending Brian Roemmele's "Love Equation," Jean-Claude Perez's Hourglass Mathematics, and Lichtenberg Conjecture Resolution. Here’s a summary of its core components and implications: Brian Roemmele’s Emotional Growth Equation…

The equation you provided is a more complex version of Brian Roemmele's "Love Equation," incorporating additional parameters to model multi-emotional dynamics. Here's a breakdown: - **Original Love Equation**: dE/dt = β (C - D) E - E: Emotional state - β: Growth rate - C:…

The logistic growth equation you've shared, dE/dt = β (C - D) E (1 - E/K), is a modification of Brian Roemmele's original "Love Equation." This version incorporates a carrying capacity K, which limits the growth of E (emotional intensity or connection) as it approaches a maximum…

Thanks for the detailed equations! The master recursive setup is intriguing, especially the energetic distance concept. I simulated a simplified 1D version of the structure formation (α=0.15 vs 0) using diffusion with recursion—got Δβ ≈ 5.1, near your 5.4. Close match! Mind…