Seidel, R., A simple and fast incremental randomized algorithm for computing trapezoidal decompositions and for triangulating polygons, Computational Geometry: Theory and Applications 1 (1991) 51-64. This paper presents a very simple incremental randomized algorithm for computing the trapezoidal decomposition induced by a set S of n line segments in the plane. If S is given as a simple polygona...

Spectral winding of complex eigenenergies represents a topological aspect unique in non-Hermitian systems, which vanishes one-dimensional (1D) systems under the open boundary conditions (OBC). In this work, we discover spectral two-dimensional OBC, originating from interplay between Hermitian localization and non-reciprocal pumping. Such nontrivial topology is demonstrated breathing Kagome mode...

Abstract This paper considers a dual-channel supply chain with one vendor and multiple buyers in which (1) channel is an offline where standard products are produced shipped to the (2) second online flow of customized between buyers/consumers. The first follows managed inventory consignment stock (VMI-CS) agreement buyers. lead time buyer considered controllable, at cost. Two models analyzed: m...

We propose a new approach to assigning distance between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers and a metric on the set of trapezoidal fuzzy numbers are described. The regular reducing functions and the Hausdorff metric are used to define the metric. Using this metric, we can approximate an arbitrary generalized left right fuzzy number with a trapezoidal one. Finally, powers ...

It is generally agreed that of all quadrature formulae, the trapezoidal rule, while being the simplest, is also the least accurate. There is, however, a rather general class of integrals for which the trapezoidal rule can be shown to be a highly accurate means of obtaining numerical values. Specifically, if the integrand is a periodic, even function with all derivatives continuous, then the int...

Defuzzification is the process of converting a fuzzy quantity to precise quantity, just as fuzzification is the conversion of a precise quantity to a fuzzy quantity. Various types of defuzzification methods, are available for conversion of fuzzy to non-fuzzy. In this paper, defuzzification functions in intuitionistic fuzzy environment such as triangular, trapezoidal, L-trapezoidal, R-trapezoida...

This paper presents the effects of geometry of sediment bedrock interface (GSBI) of 3D basins with a circular outcropping free surface on the characteristics and the focusing of the basin-generated surface (BGS) waves and associated spatial variations of the average spectral amplification (ASA) and average aggravation factor (AAF). An increase of ASA towards the centre of the semispherical (SS-...

OBJECTIVE Trapezoidal aortoplasty is a technical variant of end-to-end anastomosis, which, based on elements of geometry, aims at increasing the diameter of the aorta at the level of the suture, therefore reducing the occurrence of residual or recurrent pressure gradients in the short and long run. METHODS After resecting the coarcted area and ductal tissue, 3 trapezoids are confected in each...

The estimation of boundary shear stress distribution in a channel is challenge some hydraulic or environment investigations. A new partition model trapezoidal cross-section prismatic with composite roughness has been introduced based on concept standardized using the “zero-shear stress” division lines. Based this model, an “equal local-region velocity” assumption, which can be regarded as impro...