“The paper derives explicit expressions for the joint Laplace-Stieltjes transform, probability density function, and governing differential equations of the multivariate gamma subordinator.”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The paper derives the graphicality of infinite sequences for double power-laws, uncovering a rich phase-diagram and pointing out the existence of five qualitatively distinct ways graphicality can be violated.”

“The paper proves that the chromatic number of $P_5$-free graphs is at most a polynomial function of the clique number.”

“BandiK employs a Multi-Armed Bandit (MAB) framework for each task, where the arms correspond to the performance of candidate auxiliary sets realized as multiple output neural networks over train-test data set splits.”

“The paper constructs 3-fold blocking sets of conjectured size, obtained as the disjoint union of three linear blocking sets of Rédei type, and they lie on the same orbit of the projectivity (x:y:z)↦(z:x:y).”

“The high precision of this technique allows us to observe power-law temperature dependence of $λ$, and to measure the anomalous nonlinear Meissner effect -- the current dependence of $λ$ arising from nodal quasiparticles. Together, these measurements provide smoking gun signatures of nodal superconductivity.”

“We prove the nonexistence of $(120, 35, 10)$-difference sets, which has been an open problem for 70 years since Bruck introduced the notion of nonabelian difference sets.”

“The paper presents an edited version of the author's student works (diplomas of 2011 and 2013) with some improvements, focusing on circular TWs and stronger TWs.”

“The paper finds a partial extension of Poincaré duality theorem to hypersurfaces obtained by non-primitive Viro's combinatorial patchworking.”

“The observed nonlinearity exhibits a mixed reactive-dissipative character.”

“The paper determines generalised Chebyshev-like forms for the determinants of gram matrices of contravariant forms for standard modules.”

“The algorithm achieves linear time complexity when the number of colors is greater than 3.637 times the maximum degree plus 1.”

“The paper introduces skein-type identities expressing cluster variables associated with incompatible curves on a surface in terms of cluster variables corresponding to compatible arcs.”

“The study demonstrates the feasibility of anatomically realistic $μ$FE simulations at this scale, with models containing over $8\times10^{8}$ DOFs.”

“The paper introduces 'incremental certificate learning' to maximize work in sound linear relaxation and invoke exact piecewise-linear reasoning only when relaxations become inconclusive.”

“The paper initiates the study of these processes, state some theorems and several intriguing conjectures found by computations of the finite Markov chain.”

“The paper identifies three equilibrium phases: a mixed phase where rings interpenetrate, and two segregated phases (expanded and collapsed).”

“Virtual-Eyes improves RAD-DINO slice-level AUC from 0.576 to 0.610 and patient-level AUC from 0.646 to 0.683 (mean pooling) and from 0.619 to 0.735 (max pooling), with improved calibration (Brier score 0.188 to 0.112).”

“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”

“PGMP framework outperforms state-of-the-art methods on unseen anatomy, setting new benchmarks in efficiency and diagnostic reliability.”

“The paper demonstrates that a previously proposed condition for consistency does not hold and provides new characterizations and conditions.”

“The paper demonstrates 'the generation of unclonable keys for one-time pad encryption which can be reconfigured on the fly by applying small voltages to on-chip thermo-optic elements.'”

“The framework yields UNSAT certificates for a collection of anchored subfamilies. We also report pronounced runtime variability across configurations, including heavy-tailed behavior that currently dominates the computational effort and motivates further encoding refinements.”

“SPARK formalizes a persona space defined by role, expertise, task context, and domain, and introduces a Persona Coordinator that dynamically interprets incoming queries to activate the most relevant specialized agents.”

“The paper formalizes LDA search as an optimal stopping problem and provides an adaptive stopping algorithm that yields a high-probability upper bound on the gains achievable from a continued search.”

“The paper proposes a novel Generative Adversarial Network (GAN) framework, which incorporates 3D pose generators, a 2D pose discriminator, and a 3D pose estimator.”

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“The paper introduces the term Hoffman-London to refer to graphs that are minimal in this sense (minimizing H-colorings with paths).”

“The model reaching 96.23% accuracy, 95.58% F1-score and 94.83% specificity.”

“The policy was successfully deployed to see a 4.5% revenue increase during an A/B test.”

“The paper determines the exact value of $\mathrm{ex}_r(n, ext{Berge-} kP_{\ell})$ when $n$ is large enough for $k\geq 2$, $r\ge 3$, $\ell'\geq r$ and $2\ell'\geq r+7$, where $\ell'=\left\lfloorrac{\ell+1}{2} ight floor$.”

“LIMO achieves superior solution quality and faster time-to-solution on instances up to 85,900 cities compared to prior hardware annealers.”

“PathoSyn provides a mathematically principled pipeline for generating high-fidelity patient-specific synthetic datasets, facilitating the development of robust diagnostic algorithms in low-data regimes.”

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“The paper establishes improved upper and lower bounds on γ(C_ℓ^k) for general ℓ not divisible by k. It also determines the exact value of γ(C_ℓ^k) for integers ℓ not divisible by k in a set of (natural) density at least φ(k)/k.”

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“It is an offense for a person to knowingly train artificial intelligence to: (4) Develop an emotional relationship with, or otherwise act as a companion to, an individual;”

“Lamps' superior robustness, transferability, and clinical potential when compared to 10 baseline models.”

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“More and more brands are including open earbuds in their lineup.”

“The paper determines the maximum size of (k, ℓ)-sum-free sets and classifies extremal configurations, proving sharp Hilton-Milner type stability results.”

“The paper determines the exact rainbow number rb(G, H) where G is a multi-hubbed wheel graph W_d(s) and H = θ_{t,ℓ} represents a cycle C_t of length t with 0 ≤ ℓ ≤ t-3 chords emanating from a common vertex.”

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“The article likely contains technical details about the resonator's design, fabrication process, and performance characteristics. It would also discuss the electro-optic control mechanism and its impact on the coupling strength.”

“The paper proves that $K_0(X_{n,k})$ is canonically isomorphic to $R_{n,k}$, extending classical isomorphisms for the flag variety.”

“The approach can reduce up to 80% of visual tokens while maintaining performance in long context settings.”

“The method achieves superior reconstruction quality and faster processing compared to other algorithms.”

“INTERACT-CMIL achieves consistent improvements over CNN and foundation-model (FM) baselines, with relative macro F1 gains up to 55.1% (WHO4) and 25.0% (vertical spread).”

“The article's focus is on words of length $N = 3M$ with a three-letter alphabet.”