Relevant bibliographies by topics / Anterolateral algebra

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Academic literature on the topic 'Anterolateral algebra'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Anterolateral algebra"

1

Emmerson, Parker. "Anterolateral Algebra 2." June 1, 2023. https://doi.org/10.5281/zenodo.7993460.

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Code & $\frac{\mathrm{num1} \leftarrow \mathrm{input()}}{\Delta}$, $\frac{\mathrm{num2} \leftarrow \mathrm{input()}}{\Delta}$, $\frac{\mathrm{sum} \leftarrow \mathrm{num1} + \mathrm{num2}}{\Delta}$, $\frac{\mathrm{output}(\mathrm{sum})}{\Delta}$ \\ \hline Anterolateral Algebra Forma & h=$\frac{(\sqrt{(l \alpha + x \gamma - r \theta) \sqrt{1-(v)^2/c^2}}\sqrt{(l \alpha - x \gamma + r \theta)/\sqrt{1-(v)^2/c^2}})}{\alpha}$ \\ \hline Algebraic Relationships & $f (x) = g (x) \bullet h (x) = \nabla g (x) \bullet \nabla h (x)$ \\ \hline Integro-differential Equations & $\frac{\partial
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2

Emmerson, Parker Yehushuason. "Anterolateral." Journal of Liberated Mathematics, May 17, 2025. https://doi.org/10.5281/zenodo.15447099.

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We rigorously formalize anterolateral algebra and embed its structure within theframework of algebraic spectral theory. This provides a natural generalization of alge-braic analogy, difference, and transformation using the language of spectral varietiesand logic vector flows. We develop precise definitions, theorems, and examples todemonstrate this framework, and conclude with an explicit recipe for the spectralanalysis of anterolateral algebraic systems.
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3

Emmerson, Parker Yaohushuason. "Anterolateral Algebraic Chains and Methods." Journal of Liberated Mathematics, May 22, 2025. https://doi.org/10.5281/zenodo.15486968.

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This work develops a unified algebraic and geometric framework for analyzing anterolateral chains arising in spectral sequence mechanics, integrable systems, and quantum algebra. We introduce and systematically study anterolateral spectral chains—recursively defined sequences of heights and velocities—using explicit algebraic laws and case-based propagations across canonical parameter spaces. Utilizing cluster algebra mutations, symplectic geometry, and Lax pairs, we derive integrability properties and provide detailed transition mechanisms among cases via energy tags and discrimin
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4

Emmerson, Parker Yaohushuason. "Foundations of Categorical-Homotopical Operator Algebras, Daisy Network Dynamics, and Anterolateral Spectral Algebra." Journal of Liberated Mathematics, May 25, 2025. https://doi.org/10.5281/zenodo.15509974.

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This paper introduces and formalizes six novel mathematical frameworks synthesizing categorical, homotopical, operator-algebraic, and spectral constructs with emergent symmetry and criticality. We define \emph{ultranaut operators} as higher-categorical homotopy-enriched transitions; construct spectral decompositions over $\Sigma$-enriched matrices; develop integral operator algebra formalism; introduce the \emph{daisy network}, a self-similar symmetry-generating topological graph; analyze paradoxical scale-interaction criticality ($1 \ll Q \ll 1$); and establish \emph{anterolateral spectral al
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5

Emmerson, Parker. "Mechanics of the Energy Number." January 26, 2023. https://doi.org/10.5281/zenodo.7574645.

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There exists an infinite set of parameters → −⟨(/H) + (/ȷ)⟩ such that N † (⃗r, , s, , ) = ⃗k and μ (⃗a, b, c, d, e, · · ·) = Ω at equilibrium, and there is a corre- spondingkxp|w∗≡√3 x6+t22hc⊇v8 andγ→ω=⟨(Z/η)+(K/π)⟩⋆♢such that 1·. [⃝, ∞ (Z mil ... f↑r,α,s,δ,η and g↓a,b,c,d,e... such that L = n and = Ω. ♣),ζ −→−⟨(/H)+(/i)⟩ −→kxp|w∗≡ 1· For every set of parameters &rarr
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6

Emmerson, Parker Yaohushuason. "Geometry of Phenomenological Velocity: Energy Numbers, Curvature and Fukaya-Type Categories." May 27, 2025. https://doi.org/10.5281/zenodo.15523017.

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Thank you, Yaohushua for letting me continue to distribute these mathematical gesturing forms so interesting. The paper constructs an algebraic–geometric framework around the “phenomenological ve-locity” expression v = pN/D that arose in previous informal work. We introduce (i) theenergy-number field E, (ii) a non-commutative velocity-string algebra V, (iii) a curvature scalarKPV defined from a “PV–Hessian”, and (iv) a curved A∞ category Fukv (M ) obtained from anordinary Fukaya category by multiplication with v. Basic structural results are proved; se
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7

Emmerson, Parker. "Anterolateral Lite 2." Journal of Liberated Mathematics, May 25, 2025. https://doi.org/10.5281/zenodo.15510371.

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The \emph{Anterolateral Lite 2} formalism arises from a need to robustly track analytic and symbolic distinctions that are often lost in traditional algebraic and geometric frameworks, especially in contexts involving multi-branched solutions and subtle phase phenomena, such as Lorentzian and radical expressions. Classical algebraic structures, which treat coordinates as atomic or globally coherent entities, are prone to \emph{branch collapse}: the unwanted identification of distinct solution branches through singularities, degenerate loci, or insufficiently expressive type systems. Building o
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8

Emmerson, Parker. "The Geometry of Logic V1." January 20, 2023. https://doi.org/10.5281/zenodo.7556064.

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Herein, I describe several novel branches of mathematics that can be synthesized such that the analogies between the varying forms of the differentiated branches yield something called, "logic vectors." These novel vector spaces can be used to generate new kinds of meta-mathematical spaces as well as exotic materials.
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