2,871 research outputs found
3MT : A fine time to find primes
We all have a shared history; when we were in primary school, our teachers told us that a number is
prime if itâs only divisible by one and itself. We might also share severe scarring, from when we popped
our little hand in the air and asked the question: primes - what are they good for
Solid weak BCC-algebras
We characterize weak BCC-algebras in which the identity is
satisfied only in the case when elements belong to the same branch
Additivity of Quadrupole Moments in Superdeformed Bands: Single-Particle Motion at Extreme Conditions
Quadrupole and hexadecapole moments of superdeformed bands in the
150 mass region have been analyzed in the cranking Skyrme-Hartree-Fock
model. It is demonstrated that, independently of the intrinsic configuration
and of the proton and neutron numbers, the charge moments calculated with
respect to the doubly-magic superdeformed core of Dy can be expressed
very precisely in terms of independent contributions from the individual hole
and particle orbitals. This result, together with earlier studies of the
moments of inertia distributions, suggests that many features of the
superdeformed bands in the 150 mass region can be very well understood
in terms of an almost undisturbed single-particle motion.Comment: 10 RevTeX pages, 1 uuencoded POSTSCRIPT figure include
Properties of Bipolar Fuzzy Hypergraphs
In this article, we apply the concept of bipolar fuzzy sets to hypergraphs
and investigate some properties of bipolar fuzzy hypergraphs. We introduce the
notion of tempered bipolar fuzzy hypergraphs and present some of their
properties. We also present application examples of bipolar fuzzy hypergraphs
A description of n-ary semigroups polynomial-derived from integral domains
We provide a complete classification of the n-ary semigroup structures
defined by polynomial functions over infinite commutative integral domains with
identity, thus generalizing G{\l}azek and Gleichgewicht's classification of the
corresponding ternary semigroups
Note on the number of divisors of reducible quadratic polynomials
In a recent paper, Lapkova uses a Tauberian theorem to derive the asymptotic
formula for the divisor sum where is a fixed
integer and denotes the number of divisors of . We reprove her result
by following a suggestion of Hooley, namely investigating the relationship
between this sum and the well-known sum . As
such, we are able to furnish additional terms in the asymptotic formula
Representations of Menger -semigroups by multiplace functions
Investigation of partial multiplace functions by algebraic methods plays an
important role in modern mathematics were we consider various operations on
sets of functions, which are naturally defined. The basic operation for
-place functions is an -ary superposition , but there are some
other naturally defined operations, which are also worth of consideration. In
this paper we consider binary Mann's compositions \op{1},...,\op{n} for
partial -place functions, which have many important applications for the
study of binary and -ary operations. We present methods of representations
of such algebras by -place functions and find an abstract characterization
of the set of -place functions closed with respect to the set-theoretic
inclusion
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