1721–1740
A theoretical analysis rules out the effect in a class of abelian Cayley graphs while identifying necessary and sufficient conditions for it between opposite sides of semi-Cayley graphs.
The closed-cycle system tracked magnetic-field-related voltage and dielectric behavior from 20 to 300 K, while reference tests helped separate sample response from instrument pickup.
The selected solution combines positive density and radial pressure with negative tangential pressure, a central singularity and a sign-changing energy diagnostic.
G-MARK is reported to outperform V2V-GoT on eight of nine benchmark entries, with the largest gains on tasks requiring explicit cooperative evidence.
A fine-tuned bi-encoder ranked first on an open 3,413-query benchmark, while an overlap audit produced similar clean-subset scores.
A single flow-matching system led key scores across three public vascular-imaging datasets, but the evidence remains a computational comparison rather than a test of patient benefit.
In a test of 82 IT professionals, selected ElevenLabs recordings were much harder to identify than recordings from two older speech-synthesis tools.
A mathematical analysis covers weighted finite and countably infinite graphs, while ladder examples show how boundary rules and weights affect whether minima exist and which shapes attain them.
The theoretical study develops double-cover and determinantal descriptions, then applies them to Halphen and Enriques surfaces.
A theoretical analysis follows four compositions of arithmetic functions and estimates how many integers fall into the defined exception sets.
Tests found that plausible compliance language did not guarantee rule-grounded actions, while monitor scores depended on the evidence supplied.
The 80-MHz system used photonic-crystal-fibre supercontinuum probes and reached a pump-defined spatial resolution of 0.51 micrometres.
PVRA scored above the study’s ICP comparisons and FoundationPose with PVRA-predicted masks, but below FoundationPose with ground-truth masks.
A two-level learning system combined continuous movement skills with vision-informed velocity commands in simulation and on a Unitree Aliengo robot.
A time-resolved lab study found hydrolysis preceded aggregation, while the changing scattering pattern fit a porous “snowball” model better than a diffuse core-shell model.
In one averaged converter model, HSS eigenvalue indicators stayed negative and a matrix-based stability condition was feasible across the tested truncation orders.
A theoretical study represents random rules for valuing convex shapes as weighted jumps and extends the analysis to stationary and isotropic cases.
A refined Bézout bound also yields lower bounds for generalized Hamming weights, while a broader Cartesian-code conjecture remains open.
A study of a recurrent chromospheric brightening combines temperature, velocity and three-dimensional magnetic modeling, while leaving the event’s mechanism unresolved.
A computational study maps the tree of these mathematical objects, while leaving broader growth patterns as conjectures.