Results 141 to 150 of about 2,060,346 (322)

Hyperbolic Numbers and the Dirac Spinor

, 1998
A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over the hyperbolic number system. The transformation properties of the corresponding four component spinor are studied, and shown to be equivalent to the transformation properties of the complex Dirac spinor.
openaire   +2 more sources

Acoustic Moiré Flat Bands in Twisted Heterobilayer Metasurface

Advanced Materials, EarlyView.
This research proposes a heterobilayer moiré acoustic metasurface using two distinct lattice structures. The heterobilayer design contributes to divergent dispersion curves for the upper and lower layers and allows for greater flexibility in tuning their hybridization through interlayer twisting.
Shida Fan, Chenglin Han, Kuan He, Liang Bai, Li‐Qun Chen, Huaitao Shi, Chen Shen, Tianzhi Yang   +7 more
wiley   +1 more source

Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions [PDF]

in Y. Kuroe, T. Nitta (eds.), Proceedings of the First SICE Symposium on Computational Intelligence [Concentrating on Clifford Neural Computing], 30 Sep. 2011, KIT, Kyoto, Japan, catalogue no. 11PG0009, pp. 23 - 28, 2011, 2013
The Liouville theorem states that bounded holomorphic complex functions are necessarily constant. Holomorphic functions fulfill the socalled Cauchy-Riemann (CR) conditions. The CR conditions mean that a complex $z$-derivative is independent of the direction.
arxiv  

Mechanochromic, Low‐Cost, and Structurally Colored Displays Using Biodegradable Hydroxypropyl Cellulose

Advanced Materials, EarlyView.
Mechanochromic hydroxypropyl cellulose (HPC) integrated with microfluidic devices creates scalable, eco‐friendly reflective color displays. We demonstrate mechanochromic displays with 500 µm pixel size and 5Hz switching rates with room for optimisation. The proposed mechanochromic HPC displays are an initial step toward more environmentally responsible
Charles H. Barty‐King, Maxime Burgonse, Silvia Vignolini, Jeremy Baumberg, Michael De Volder   +4 more
wiley   +1 more source

Topology of Hořava–Lifshitz black holes in different ensembles

European Physical Journal C: Particles and Fields
In this paper, we study topological numbers for uncharged and charged static black holes obtained in $$z=3$$ z = 3 Hořava–Lifshitz gravity theory in different ensembles, where z measures the degree of anisotropy between space and time. We first calculate
Deyou Chen, Yucheng He, Jun Tao, Wei Yang   +3 more
doaj   +1 more source

Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems

, 1995
We investigate with the help of Clifford algebraic methods the Mandelbrot set over arbitrary two-component number systems. The complex numbers are regarded as operator spinors in D\times spin(2) resp. spin(2).
Fauser, Bertfried
core  

A Body Conformal Ultrasound Receiver for Efficient and Stable Wireless Power Transfer in Deep Percutaneous Charging

Advanced Materials, EarlyView.
Implantable devices rely on batteries that demand surgical replacement, posing risks, and financial burdens. Ultrasound energy transfer (US‐ET) offers a revolutionary wireless alternative but struggles with efficiency. The presented dielectric‐ferroelectric‐boosted US‐TENG (US‐TENGDF‐B) is thin, flexible, and biocompatible that provides high‐efficiency
Iman M. Imani, Hyun Soo Kim, Minhyuk Lee, Seung‐Bum Kim, So‐Min Song, Dong‐Gyu Lee, Joon‐Ha Hwang, Jeyeon Lee, In‐Yong Suh, Sang‐Woo Kim, Jun Chen, Heemin Kang, Donghee Son, Jeong Min Baik, Sunghoon Hur, Hyun‐Cheol Song   +15 more
wiley   +1 more source

Parabolic Numbers: A New Perspective

Journal of New Theory
Thus far, many studies have been conducted on $p$-complex numbers. Depending on the sign of $p$, there are three cases: hyperbolic, dual, and elliptic. In the literature, dual numbers are called parabolic numbers, but they do not parameterize parabolas ...
Furkan Semih Dündar
doaj   +1 more source

Hyperbolic knots with three toroidal Dehn surgeries [PDF]

arXiv, 2007
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed three manifolds containing incompressible tori. We show that there exist infinitely many hyperbolic knots which attain the conjectural maximum number. Interestingly, those surgeries correspond to consecutive integers.
arxiv  

Materials Advances in Devices for Heart Disease Interventions

Advanced Materials, EarlyView.
This review examines the crucial role of materials in heart disease interventions, focusing on strategies for monitoring, managing, and repairing heart conditions. It discusses the material requirements for medical devices, highlighting recent innovations and their impact on cardiovascular health.
Gagan K. Jalandhra, Lauryn Srethbhakdi, James Davies, Chi Cong Nguyen, Phuoc Thien Phan, Zachary Och, Aditya Ashok, Khoon S. Lim, Hoang‐Phuong Phan, Thanh Nho Do, Nigel H. Lovell, Jelena Rnjak‐Kovacina   +11 more
wiley   +1 more source