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arXiv:2509.06062v2 Announce Type: replace Abstract: Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a...
arXiv:2512.17989v2 Announce Type: replace Abstract: We examine the conceptual and ethical gaps in current representations of Superintelligence misalignment. We find throughout Superintelligence discourse an absent...
arXiv:2601.09767v2 Announce Type: replace Abstract: Malignant tumors exhibit complex pathogenesis, yet classical oncological theories remain fragmented, failing to provide a unifying framework to address this...
arXiv:2505.06834v3 Announce Type: replace-cross Abstract: Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove...
arXiv:2508.21438v2 Announce Type: replace-cross Abstract: The development of continuous biomanufacturing processes requires robust and early anomaly detection, since even minor deviations can compromise yield and...
arXiv:2602.21207v1 Announce Type: new Abstract: We introduce and study a three-sign cancellation hypernumber system $H$ which extends the real field by adjoining a third sign...
arXiv:2602.21208v1 Announce Type: new Abstract: We study rings with infinitely (only finitely) many maximal subrings. We prove that if $M$ is a maximal left/right ideal...
arXiv:2602.21209v1 Announce Type: new Abstract: We provide a classification, up to isomorphism, of four-dimensional ternary Leibniz algebras over an algebraically closed field of characteristic zero....
arXiv:2602.21210v1 Announce Type: new Abstract: This paper introduces and investigates the structure of $\delta$-Leibniz algebras, which serve as a parametric generalization of classical Leibniz algebras...
arXiv:2602.21211v1 Announce Type: new Abstract: Numerical computations involving rational matrices often benefit from preserving underlying matrix structures such as symmetry, Hermitian properties, or sparsity that...
arXiv:2602.21234v1 Announce Type: new Abstract: It is useful to have canonical forms of boundary conditions in the study of the eigenvalues of boundary value problems...
arXiv:2602.21235v1 Announce Type: new Abstract: We show that on certain diffeological spaces there exist linear derivations that satisfy the Leibniz rule but are not smooth...
arXiv:2602.21245v1 Announce Type: new Abstract: Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an...
arXiv:2602.21250v1 Announce Type: new Abstract: In this work, we study the quantum system of the isotonic oscillator from the perspective of the diagonal operator ordering...
arXiv:2602.21254v1 Announce Type: new Abstract: It is well known that the diffusion equation, when treated as a stand-alone partial differential equation, exhibits exponential instabilities in...
arXiv:2602.21258v1 Announce Type: new Abstract: We study the cone $\mathscr{P}_{\text{J}}$ of positive J-Hermitian matrices associated with an indefinite signature matrix J = $\text{Id}_{p,q}$. We show...
arXiv:2602.21260v1 Announce Type: new Abstract: Income-based poverty indicators are insufficient to fully explain the multifaceted socio-economic issue of energy poverty. The ability of households to...
arXiv:2602.21270v1 Announce Type: new Abstract: We study planar curves defined by finite Fourier series of the form $F_n(t)=\sum_{p\le n} v_p(n!)\, e^{i p t}$, where the...
arXiv:2602.21274v1 Announce Type: new Abstract: We study an optimal extraction problem where the agent's actions in the spot market exert an additive proportional negative impact...
arXiv:2602.21275v1 Announce Type: new Abstract: We give a construction of an infinite set of points $A$ in $\mathbb{R}^2$ such that any subset $P\subseteq A$ has...
arXiv:2602.21277v1 Announce Type: new Abstract: We derive a scaling limit in law for the cover time of a simple random walk on a lattice version...
arXiv:2602.21300v1 Announce Type: new Abstract: The ordered configuration space of $n$ open unit squares in the $w$ by $h$ rectangle exhibits homological stability in the...
arXiv:2602.21304v1 Announce Type: new Abstract: Let $X$ be a complex manifold and let $D\subset X$ be a simple normal crossings divisor. Fix a Kummer level...
arXiv:2602.21310v1 Announce Type: new Abstract: Binary idempotent semirings govern classical path algebras. Their multiplicative structure is dyadic. We examine whether this restriction is structural or...