In this work, we look at the symmetry of normal modes in symmetric structures, particularly structures with cyclic symmetry. We show that normal modes of symmetric structures have different levels of symmetry, or symmetricity. One novel theoretical result of this work is that, for a ring structure with m subunits, the symmetricity of the normal modes falls into m groups of equal size, with norm...

We present a randomized pattern formation algorithm for asynchronous oblivious (i.e., memoryless) mobile robots that enables formation of any target pattern. As for deterministic pattern formation algorithms, the class of patterns formable from an initial configuration I is characterized by the symmetricity (i.e., the order of rotational symmetry) of I, and in particular, every pattern is forma...

Symmetricity of an optimal solution of SemiDefinite Program (SDP) with certain symmetricity is discussed based on symmetry property of the central path that is traced by a primaldual interior-point method. Introducing some operators for rearranging elements of matrices and vectors, three types of symmetric SDPs are defined by using those operators. The symmetricity of the solution on the centra...

Fluid flows sometimes exhibit symmetricity under certain conditions [...]

Fluid flows sometimes exhibit symmetricity under certain conditions [...]

In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

In this article we introduce the different types of fuzzy real-valued I-convergent double sequence spaces. Also study their topological and algebraic properties like solidness, symmetricity etc.

In this article we introduce some statistically convergent difference double sequence spaces defined by Orlicz function. Completeness of the spaces will be proved. We study some of their other properties like solidness, symmetricity etc. and prove some inclusion results.

The sequence space m(φ,∆m, p) of fuzzy real numbers for 0 < p < 1 and 1 ≤ p < ∞, are introduced. Some properties of the sequence space like solidness, symmetricity, convergence-free etc. are studied.