Results 81 to 90 of about 7,881 (187)

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley   +1 more source

Advancing Stability in Robot Manipulators: A Review of Recent Progress and Parameters

open access: yesEngineering Reports, Volume 7, Issue 7, July 2025.
We present an overview of the current state‐of‐the‐art in robotics while emphasizing stability and control aspects with pragmatic consideration over robotic manipulators. It is centered on robustness, efficiency, and security for applications such as industrial automation or surgical robotics.
Shabnom Mustary   +4 more
wiley   +1 more source

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

open access: yesAxioms
In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj   +1 more source

Identities on the k-ary Lyndon words related to a family of zeta functions

open access: yes, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core  

Stability to double timoshenko thermoelastic beam

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.
Abstract In this work, we study, from both analytical and numerical points of view, a thermoelastic problem involving two elastic beams, which are modeled by using the classical Timoshenko model. The resulting problem is written in terms of the transverse displacements, the angles of rotation, and the temperatures of the beams.
Noelia Bazarra   +3 more
wiley   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

open access: yesArab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc   +2 more
doaj   +1 more source

On Degenerate Truncated Special Polynomials

open access: yesMathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Adaptive DNA Cryptography With Intelligent Machine Learning for Cloud Data Defense

open access: yesEngineering Reports, Volume 7, Issue 6, June 2025.
Algorithm 2 outlines the process of decrypting DNA‐encoded data retrieved from cloud storage. The DNA‐encoded fragments are first retrieved from the cloud and then concatenated to reconstruct the complete DNA‐encoded data. Subsequently, the DNA sequence is decoded back into encrypted digital data using the reverse of the defined encoding scheme ...
Animesh Kairi   +4 more
wiley   +1 more source

Evaluating Properties and Applications of Innovative Recycled Aggregate Concrete

open access: yesEngineering Reports, Volume 7, Issue 6, June 2025.
Methodology flowchart. ABSTRACT The global demand for concrete, driven by rapid industrialization and urbanization, has led to significant depletion of natural aggregates and increased environmental concerns. Natural aggregates, which constitute about 70%–80% of concrete mix volume, are essential for concrete production, but their extraction ...
Kameshwar Sahani   +6 more
wiley   +1 more source

Explicit inverse of the Pascal matrix plus one

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
This paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.
Sheng-liang Yang, Zhong-kui Liu
doaj   +1 more source

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