Blade configuration of nanofluids has been proven to perform much better than dispersed configuration for some heat conduction systems. The analytical analysis and numerical calculation are made for the cylinder--shaped and regular-rectangular-prism--shaped building blocks of the blade-configured heat conduction systems (using nanofluids as the heat conduction media) to find the optimal cross-s...

In this paper, some elementary operations on triangular fuzzynumbers (TFNs) are defined. We also define some operations on triangularfuzzy matrices (TFMs) such as trace and triangular fuzzy determinant(TFD). Using elementary operations, some important properties of TFMs arepresented. The concept of adjoints on TFM is discussed and some of theirproperties are. Some special types of TFMs (e.g. pu...

We realize a two-dimensional kagome lattice for ultracold atoms by overlaying two commensurate triangular optical lattices generated by light at the wavelengths of 532 and 1064 nm. Stabilizing and tuning the relative position of the two lattices, we explore different lattice geometries including a kagome, a one-dimensional stripe, and a decorated triangular lattice. We characterize these geomet...

In this paper, the notions of (T, S)-composition matrix and (T, S)interval-valued intuitionistic fuzzy equivalence matrix are introduced where (T, S) is a dual pair of triangular module. They are the generalization of composition matrix and interval-valued intuitionistic fuzzy equivalence matrix. Furthermore, their properties and characterizations are presented. Then a new method based on α̃−mat...

Abstract We study the possible dynamical degrees of automorphisms affine space $\mathbb {A}^n$ . In dimension $n=3$ , we determine all arising from composition an automorphism with a triangular one. This generalizes easier case shift-like which can be studied in any dimension. also prove that each weak Perron number is degree affine-triangular for some n and give best quadratic integers, either...

Let A be a nite dimensional hereditary algebra over a nite eld, H(A) and C(A) be respectively the Ringel-Hall algebra and the composition algebra of A. Deene r d to be the element P M] 2 H(A), where M] runs over the isomorphism classes of the regular A?modules with dimension vector d. We prove that r d and the exceptional A?modules all lie in C(A). Let K be the Kronecker algebra, P (resp. I) th...

Using muon spin spectroscopy we have found that, for both NaxCoO2 (0.6 x 0.9) and 3and 4-layer cobaltites, a common low temperature magnetic state (which in some cases is manifest as an incommensurate spin density wave) forms in the CoO2 planes. Here we summarize those results and report an almost dome-shaped relation <_ <_ between the transition temperature into the low-T magnetic state and th...