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In this paper, the notion of convexity of picture fuzzy multisets was introduced and some of their properties were presented after studying the concept of picture fuzzy multisets.

General Mathematics · Mathematics 2026-03-25 Taiwo O. Sangodapo

We show how light can be controllably transported by light at microscale dimensions. We design a miniature device which consists of a short segment of an optical fiber coupled to transversely-oriented input-output microfibers. A whispering…

Optics · Physics 2021-04-21 Manuel Crespo-Ballesteros , Misha Sumetsky

We present an educational tool, a microscope with a video camera, that can be fabricated either from a standard microscope or assembled from inexpensive, commercially available components (objectives, beam splitters, LEDs, linear stages)…

Microtubules are filament-shaped, polymeric proteins (~25 nm in diameter) involved in cellular structure and organization. We demonstrate the imaging of individual microtubules using a conventional bright-field microscope, without any…

Biological Physics · Physics 2015-05-14 Braulio Gutiérrez-Medina , Steven M. Block

Optical microfibers finds new applications in various fields of industry, which in turn requires wear resistance, environmental friendliness and ease of use. However, optical microfibers are fragile. Here we report a new method to prolong…

Applied Physics · Physics 2024-09-04 A. Novikova , A. Katiyi , A. Halstuch , A. Karabchevsky

Microstructure of materials is often characterized through image analysis to understand processing-structure-properties linkages. We propose a largely automated framework that integrates unsupervised and supervised learning methods to…

Applications · Statistics 2025-09-05 Kungang Zhang , Wei Chen , Wing K. Liu , L. Catherine Brinson , Daniel W. Apley

This chapter presents an overview of microfluidic devices reported in the literature, used to develop methodologies for nucleation of biomolecules, with crystal size control, and for collecting thermodynamic and kinetic data. Part I is…

Soft Condensed Matter · Physics 2025-12-16 Nadine Candoni , Romain Grossier , Stéphane Veesler

Optical frequency division based on bulk or fiber optics provides unprecedented spectral purity for microwave oscillators. To extend the applications of this approach, the big challenges are to develop miniaturized optical frequency…

Optics · Physics 2024-02-27 Yang He , Long Cheng , Heming Wang , Yu Zhang , Roy Meade , Kerry Vahala , Mian Zhang , Jiang Li

The development of optical fibers has revolutionized telecommunications by enabling long-distance broad-band transmission with minimal loss. In turn, the ubiquity of high-quality low-cost fibers enabled a number of additional applications,…

Optics · Physics 2017-03-30 Brandon Redding , Mansoor Alam , Martin Seifert , Hui Cao

We present an introduction to metamaterials, some of their optical prop-erties, and examples of their uses. We develop an efficient theory for thecalculation of the macroscopic permittivity of binary systems and systemswith more components,…

Optics · Physics 2021-11-12 Merlyn Jaqueline Juárez-Gutiérrez , W. Luis Mochán

The interfacial structure plays a critical role in modern optoelectronics. Currently multilayer electrodes are used to optimize the injection and lifetime properties. The choice of interlayer is not universal, with different effects for the…

Materials Science · Physics 2012-08-02 Ayse Turak , Dan Grozea , Chanjun Huang , Zheng-Hong Lu

We set up a fibred categorical theory of obstruction and classification of morphisms that specializes to the one of monoidal functors between categorical groups and also to the Schreier-Mac Lane theory of group extensions. Further…

Category Theory · Mathematics 2021-04-14 Alan S. Cigoli , Sandra Mantovani , Giuseppe Metere , Enrico M. Vitale

This article introduces and studies Minkowski Bisectors, Minkowski Cells, and Lattice Coverings.

Metric Geometry · Mathematics 2014-02-17 Chuanming Zong

The concepts of fuzzy objects and their classes are described that make it possible to structurally represent knowledge about fuzzy and partially-defined objects and their classes. Operations over such objects and classes are also proposed…

Artificial Intelligence · Computer Science 2016-02-17 D. A. Terletskyi , A. I. Provotar

The concept of F-algebra and its representation can be extended to an arbitrary bundle. We define operations of fibered F-algebra in fiber. The paper presents the representation theory of of fibered F-algebra as well as a comparison of…

Differential Geometry · Mathematics 2011-11-09 Aleks Kleyn

Given a fibration in groupoids d : D -> I, we define a fibered multicategory as a particular functor p : M -> I, where M has the same objects as D, and its arrows a : X -> Y should be thought of as families of arrows in the multicategory,…

Category Theory · Mathematics 2022-01-07 Claudio Pisani

Optical microresonators have recently attracted a growing attention in the photonics community. Their applications range from quantum electro-dynamics to sensors and filtering devices for optical telecommunication systems, where they are…

An optical microscope is probably the most intuitive, simple and commonly used instrument to observe objects and discuss behaviors through images. Although the idea of imaging electrochemical processes operando by optical microscopy was…

Optics · Physics 2022-11-16 Jean-François Lemineur , Hui Wang , Wei Wang , Frédéric Kanoufi

The paper reviews methods used to study the electronic and structural properties of silicon/insulator interfaces. Methodological approaches to study the interface states and charge trapping in the oxide are considered. An overview of…

Materials Science · Physics 2017-09-07 Y. G. Fedorenko

Additive manufacturing, also known as 3D printing, is an advanced manufacturing technique that allows the fabrication of arbitrary macroscopic and microscopic objects. All 3D printing systems require large optical elements or nozzles in…