Results 71 to 80 of about 5,678 (257)

From Flybys to Sample Return: A Review of Space Probes and Robotic Sampling Technologies for Small Bodies

Journal of Field Robotics, EarlyView.
ABSTRACT As a crucial puzzle piece of deep space exploration, exploring small bodies can provide significant scientific insights and valuable mineral resources. Unlike missions to the Moon and Mars, small‐body missions pose distinct technical challenges, including communication delays, weak gravity, and uncertain environments. This paper reviews a full
Xin Zhang, Hao Zhou, Dalin Zhou, Zhaojie Ju   +3 more
wiley   +1 more source

On The Lagrange Interpolation of Fibonacci Sequence

, 2016
Fibonacci sequence is one of the most common sequences in mathematics. It was first introduced by Leonardo Pisa in his book Liber Abaci (1202). From the first n + 1 terms of Fibonacci sequence, a polynomial of degree at most n can be constructed using ...
Hanafi, Lukman; Department of Mathematics, Institut Teknologi Sepuluh Nopember, Asfihani, Tahiyatul; Department of Mathematics, Institut Teknologi Sepuluh Nopember, Mufid, Muhammad Syifa'ul; Department of Mathematics, Institut Teknologi Sepuluh Nopember   +2 more
core   +1 more source

Urban Housing Markets and Sustainability Risk: Empirical Evidence From South African Cities

Sustainable Development, EarlyView.
ABSTRACT Despite the global shift toward sustainability and rising expectations for socially and environmentally responsible housing, evidence from South Africa's urban markets remains limited and underexplored. This study examines how sustainability‐related vulnerabilities shape downside housing risk across 60 cities between 2002 and 2021.
Bereket A. Ataro, Beatrice D. Simo‐Kengne, Rexford K. Asiama   +2 more
wiley   +1 more source

Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes

Results in Applied Mathematics
In Boffi et al. (2000), it was shown that the linear Lagrange element space on criss-cross meshes and its divergence exhibit spurious eigenvalues when applied in the mixed formulation of the Laplace eigenvalue problem, despite satisfying both the inf–sup
Kaibo Hu, Jiguang Sun, Qian Zhang
doaj   +1 more source

AN IDENTITY ON SYMMETRIC POLYNOMIALS

Tạp chí Khoa học Đại học Đà Lạt, 2020
In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
doaj   +1 more source

On the summability of Lagrange interpolation

Journal of Approximation Theory, 1973
Journal of Approximation Theory 9 (1973) 349-356. doi:10.1016/0021-9045(73)90080-4 ; Received by publisher: 1971-10-18 ; Harvest Date: 2016-01-04 12:19:59 ; DOI:10.1016/0021-9045(73)90080-4 ; Page Range: 349 ...
Department of Mathematics, University of Florida, Gainesville, Florida 32601 U.S.A. ( host institution ), Varma, A.K ( author ), Mills, T.M ( author )   +2 more
openaire   +2 more sources

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, EarlyView.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source

Fiber Bragg Grating Force Sensors for Minimally Invasive Surgery: State of the Art, Challenges, and Opportunities

SmartBot, EarlyView.
This article reviews the application of fiber Bragg grating (FBG) technology for precise force sensing in minimally invasive surgery. It outlines the fundamental working principles and algorithms used to interpret sensor data. The text surveys clinical applications across various medical fields, such as ophthalmology and vascular intervention (Table of
Shiyuan Dong, Tianqi Huang, Lingyu Chen, Shucong Yin, Qing Chang, Dingpei Han, Yangxi Li, Boyu Zhang, Hongen Liao, Fang Chen   +9 more
wiley   +1 more source

Fractional multiwavelet methods for solving spatiotemporal fractional diffusion equations with non-smooth solutions

Mathematical Modelling and Analysis
This introduces a new method that effectively solves spatiotemporal fractional diffusion equation(FDE) using fractional Lagrange interpolation and fractional multiwavelets. The method effectively addresses situations with non-smooth solutions.
Jian Zhang, Chaoyue Guan, Hong Du
doaj   +1 more source

On Lagrange-Hermite Interpolation

Journal of the Society for Industrial and Applied Mathematics, 1964
where Dt d/dt and aj,m is a Kronecker symbol. These conditions are used by Householder [5, pp. 193-195] to derive the formulas for p = 1, 2. The formula for p = 3 is given by Salzer [9]. The solution for n = 0 is given by Taylor's formula. Many authors have reported on the case where p depends on i.
openaire   +3 more sources