On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of √f
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DOI: 10.1134/s1064562418070281
Abstract: We prove the finiteness of the set of square-free polynomials f ∈ k[x] of odd degree distinct from 11 considered up to a natural equivalence relation for which the continued fraction expansion of the irrationality… read more here.
Keywords: hyperelliptic fields; special properties; expansion; fields special ... See more keywords
A RIGID PENDULUM IN A MICROGRAVITY: SOME SPECIAL PROPERTIES AND A TWO-SCALE FRACTAL MODEL
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DOI: 10.1142/s0218348x21501279
Abstract: Under a microgravity condition, the microgravity-induced motion of a rigid pendulum has many special properties, which cannot be successfully revealed by any known theory. This work suggests a new fractal model for this purpose to… read more here.
Keywords: fractal model; microgravity; special properties; rigid pendulum ... See more keywords
On Special Properties for Continuous Convex Operators and Related Linear Operators
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DOI: 10.3390/sym14071390
Abstract: This paper provides a uniform boundedness theorem for a class of convex operators, such as Banach–Steinhaus theorem for families of continuous linear operators. The case of continuous symmetric sublinear operators is outlined. Second, a general… read more here.
Keywords: linear operators; continuous convex; convex operators; properties continuous ... See more keywords