Preprint links legal-school filtering to better Arabic Islamic-law search
In a 503-question benchmark, filtering by school was associated with the largest reported gains on school-specific questions; generated-answer quality was not tested.
2301–2320
In a 503-question benchmark, filtering by school was associated with the largest reported gains on school-specific questions; generated-answer quality was not tested.
A one-dimensional mathematical analysis derives a dynamic boundary law and suggests competing stable states, while leaving broader cases unresolved.
Idealized acoustic calculations link resonance regions to shell thickness and impedance contrasts, while identifying a high-impedance region that remains non-resonant.
A mathematical analysis says the proposed extension either reduces to ordinary quantum behavior or conflicts with no-superluminal signaling.
A computer study found that redundant qubit registers reduced modeled circuit depth and improved noisy spectral signals in some cases, but the circuits were not run on hardware.
The proposed pipeline also stayed within less than 2 dB of a perfect-CSI reference, but the study tested a modeled single-user system rather than physical hardware.
The mathematical notes link large-scale density averages to deterministic equations, while showing that fluctuation scales depend on the model and dimension.
The approach learns a shared pattern from pooled data before modeling each group’s differences, with favorable results in simulations and two real-data tests.
A mathematical analysis gives sharp dimension limits and shows that some stable tangent maps must be constant.
DICS recorded large reported speedups on synthetic and benchmark tests, while accuracy remained comparable in some comparisons and fell in others; regression was not evaluated.
A formal study represents quaternionic states, channels and error correction in constrained complex spaces while comparing octonionic frameworks that preserve different operational structures.
A geometric proof says equal-area convex regions on a sphere can be mapped to the plane within the round disk’s distortion benchmark.
The conceptual review says spatial scale, dependence, sampling design and uncertainty must remain central as models become more flexible.
Exact Bethe-ansatz calculations in a one-dimensional Hubbard model challenge a low-energy prediction at quarter filling, while half-filled odd-order weights show exponential finite-size suppression.
The formal construction links three two-complexes, while a separate Lie-ring example shows a nonzero identity among relations in the smaller presentation.
Computer simulations of two fluorophore models found ultrafast single- and double-proton transfer under selected vibrational conditions, while room-temperature baseline runs showed little transfer.
Calculations and finite-size simulations point to a three-phase meeting point, with a possible connection to toric-code error correction.
In selected simulations, a combined controller passed a post-landing attitude test in all 24 boundary runs, but the findings remain tied to specific ramps, speeds and a modeled vehicle.
In simulations and fluorescent-bead experiments, the approach reproduced several designed point-spread functions and used fewer reported iterations than pixel-based methods in one benchmark.
A mathematical model reported higher rates when the reflector’s position, orientation and reflection settings were optimized together, but hardware and field performance remain untested.