Results 81 to 90 of about 1,751,759 (303)
On the Products of k-Fibonacci Numbers and k-Lucas Numbers
International Journal of Mathematics and Mathematical Sciences, 2014 In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh +2 more
doaj +1 more source
A fast recurrence for Fibonacci and Lucas numbers
CoRR, 2021 We derive the double recurrence $e_n = \frac{1}{2}(a_{n-1}+5b_{n-1}); f_{n} = \frac{1}{2}(a_{n-1}+b_{n-1})$ with $e_0=2;f_0=0$ for the Fibonacci numbers, leading to an extremely simple and fast implementation. Though the recurrence is probably not new, we have not been able to find a reference for it.
openaire +2 more sources
Laser‐Induced Local De‐Doping in Organic Semiconductors
Advanced Materials Technologies, EarlyView.The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer +5 more
wiley +1 more source
Abstract and Applied Analysis, 2014 Circulant matrices play an important role in solving ordinary and partial differential equations. In this paper, by using the inverse factorization of polynomial of degree n, the explicit determinants of circulant and left circulant matrix involving ...
Juan Li, Zhaolin Jiang, Fuliang Lu
doaj +1 more source
Block Card 1845 Fulton Lucas Road
, 1990 This image was produced by the Auditor's Office in Lucas County, Ohio for tax assessment purposes. Associated dates are approximate. Descriptive terms related to this photograph include: Dwelling | Harding (Ohio : Township) | 1845 Fulton-Lucas Road ...
Lucas County (Ohio). Auditor's Office
core
Advanced Robotics Research, EarlyView.Visual teach‐and‐repeat (VTR) navigation allows robots to learn and follow routes without building a full metric map. We show that navigation accuracy for VTR can be improved by integrating a topological map with error‐drift correction based on stereo vision.
Fuhai Ling, Ze Huang, Tony J. Prescott
wiley +1 more source
, 2021 {"references": ["1.\tR. Sivaraman, Number Triangles and Metallic Ratios, International Journal of Engineering and Computer Science, Volume 10, Issue 8, pp. 25365 \u2013 25369. 2.\tR. Sivaraman, Generalized Pascal's Triangle and Metallic Ratios, International Journal of Research, Volume 9, Issue 7, pp. 179 \u2013 184. 3.\tR.
openaire +2 more sources
Modular, Textile‐Based Soft Robotic Grippers for Agricultural Produce Handling
Advanced Robotics Research, EarlyView.This article introduces textile‐based pneumatic grippers that transform simple textiles into robust bending actuators. Detailed experiments uncover how cut geometry and fabric selection shape performance. Successful handling of fragile agricultural items showcases the potential of textile robotics for safe, scalable automation in food processing and ...
Zeyu Hou +4 more
wiley +1 more source
Advanced Science, EarlyView.We report the fast generation of biocompatible solutions of highly 13C‐hyperpolarized (≈11%) partially‐deuterated ketoisocaproate within <6 min using spin‐lock‐induced crossing and reversible exchange with parahydrogen (SLIC‐SABRE). This enables rapid detection of branched‐chain‐amino‐acid transferase 1 (BCAT1) protein expression and investigation of ...
Stefan Petersen +18 more
wiley +1 more source
Mechanical Flexibility Enables DNA Origami to Overcome Steric Confinement in Mucus
Advanced Science, EarlyView.Mechanical flexibility is introduced as a design parameter to enhance nanocarrier transport in mucus. Using DNA origami, flexibility is decoupled from size, shap and surface chemistry, revealing improved passage through confined hydrogel networks. While surface passivation reduces aggregation, flexibility further boosts transport, offering a general ...
Matteo Tollemeto +5 more
wiley +1 more source