Preprint proposes a model for visco-elastic phase boundaries
The mathematical analysis gives the system a gradient-flow structure and establishes weak varifold-solution existence, with BV solutions only under additional conditions.
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The mathematical analysis gives the system a gradient-flow structure and establishes weak varifold-solution existence, with BV solutions only under additional conditions.
Best Prefix Selection scored bundles of skills for a language-model agent, but the evidence comes from one frozen-executor benchmark.
The Petz recovery map meets the proposed rules for reversing mathematical transformations, but its uniqueness remains an unproved conjecture.
An audit of 32 architecture–learning configurations found every forward-dynamics class represented, while global-gradient methods accounted for 16 entries.
A symbolic framework turns class-function evaluations into algebraic and combinatorial formulas, including a two-row rule for a set-mapping element.
An analytical framework separates local strut mechanics from changes in connectivity, backbone participation and load-path efficiency.
A mathematical proof shows that when a set with “nice recurrence” is divided into finitely many colour classes, at least one class retains the same property.
Random-wave backgrounds were associated with long-lived modeled structures, but the result does not establish real-world rogue-wave risk.
In synthetic blocked-link simulations, a rate-profile learning approach had a higher reported sum rate than WMMSE, but the result has not been tested on hardware.
A mathematical proof says that, for some unspecified positive η, every finite simple graph with minimum degree at least (3/4 − η)n has fully synchronized states as its only local energy minima.
SATS reported leading scores on zero-shot and in-distribution tests, but the analysis did not include confidence intervals or repeated runs.
The abstract theorem applies to finite simple directed graphs and extends to weighted cycles, but it does not provide the smallest or an optimized threshold.
A benchtop experiment used visible interference and a CMOS camera to reconstruct images while an infrared beam passed through a test mask.
ThermoDPO-weighted improved reported toy and image-generation scores, but the evidence comes from offline benchmarks and a one-author human evaluation.
Specially constructed fixed-length inputs establish a worst-case lower bound of 2 for strings of length six or more, while the exact ratio for three-character inputs is 9/5.
A lattice-based model links reputation-weighted learning with sharp shifts, competing outcomes and the growth or extinction of cooperative clusters.
Hénon and Lorenz 96 tests showed useful ensemble forecasts, while a folded-towel-map result focused on forecast geometry.
The response persisted through 400 °C, while chemical mixing at the upper interface emerged as a stronger clue than bulk crystallization.
The proof-based study constructs common denominators and reaches classical and p-adic Littlewood conclusions only under stated mathematical conditions.
A monthly S&P 500 analysis found the association in implied variance before broader realized volatility, but found no timing advantage or crash protection.