Semi-analytical model links observed scattering-surface height to small-dust mass, yielding global mass fractions of order 10^{-3} consistent with modest grain growth in ten protoplanetary disks.
Galois relations for cyclotomic number s and p-units
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3D wind-tunnel simulations in the χ~10^3 regime show clump-cocoon geometry sets SB_X/SB_Hα~3, with Hα fraction fixed by atomic physics and X-ray fraction set by residence time in the X-ray band that scales inversely with pressure.
Narrix helps novices identify and reuse narrative strategies from examples through visualization and strategy-steered generation, improving retention, confidence, and adaptation over chat interfaces in a 12-person study.
Proves equidistribution of (des, fix) and (ides, pix) over S_n(Π) for Π from Bsila et al. conjecture via explicit ordinary generating functions.
Radiative-transfer simulations with common dust models generate a range of spectral indices but cannot reach the lowest observed emissivity indices in protostars without invoking unexpectedly large millimeter-sized grains.
Under the narrow genus field hypothesis on abelian K, the paper constructs a Lambda-basis for the Iwasawa module lim Was(K_k^+) and a Z[1/2]-basis for Was(K) tensor Z[1/2].
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Bases for some modules of cyclotomic units
Under the narrow genus field hypothesis on abelian K, the paper constructs a Lambda-basis for the Iwasawa module lim Was(K_k^+) and a Z[1/2]-basis for Was(K) tensor Z[1/2].