Results 81 to 90 of about 42,635 (224)

Euler Sums and Integral Connections

Mathematics, 2019
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
doaj   +1 more source

Excavator 3D pose estimation from point cloud with self‐supervised deep learning

Computer-Aided Civil and Infrastructure Engineering, EarlyView.
Abstract Pose estimation of excavators is a fundamental yet challenging task with significant implications for intelligent construction. Traditional methods based on cameras or sensors are often limited by their ability to perceive spatial structures. To address this, 3D light detection and ranging has emerged as a promising paradigm for excavator pose
Mingyu Zhang, Wenkang Guo, Jiawen Zhang, Shuai Han, Heng Li, Hongzhe Yue   +5 more
wiley   +1 more source

New moduli of smoothness

, 2014
In this paper, we discuss various properties of the new modulus of smoothness \[ \omega^\varphi_{k,r}(f^{(r)},t)_p := \sup_{0 < h\leq t}\|\mathcal W^r_{kh}(\cdot) \Delta_{h\varphi(\cdot)}^k (f^{(r)},\cdot)\|_{L_p[-1,1]}, \] where $\mathcal W_\delta(x) = \
Kopotun, K. A., Leviatan, D., Shevchuk, I. A.   +2 more
core   +1 more source

Function Art: Linking Mathematics, Technology, and Visual Arts

School Science and Mathematics, EarlyView.
ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr, Jemarie Malacapo, Florenda Gallos‐Cronberg, Houssam Kasti, Noah Dana‐Picard, Zsolt Lavicza   +5 more
wiley   +1 more source

Чисельне розв’язання методом дискретних особливостей одного сінгулярного інтегрального рівняння з ядром Гільберта [PDF]

, 2019
In the paper the method of discrete singularities is used for constructing a discrete mathematical model of a first kind singular integral equation with the Hilbert kernel in the case when the auxiliary conditions introduced to ensure the uniqueness of ...
Naboka, Olena Oleksiyivna, Polyanskaya, Tatyana Semenovna   +1 more
core  

Cosine and Sine Operators Related with Orthogonal Polynomial Sets on the Intervall [-1,1]

, 2005
The quantization of phase is still an open problem. In the approach of Susskind and Glogower so called cosine and sine operators play a fundamental role.
Abramowitz M, Chihara T S, Diethard H Schiller, Dirac P A M, Lerner E C, Lerner E C, Nevai P G, Peřinová V, Schleich W P, Susskind L, Szegö G, Tanaś R, Thomas Appl   +12 more
core   +1 more source

Twenty‐Five Years of Probabilistic Fault Displacement Hazard Assessment

Reviews of Geophysics, Volume 63, Issue 3, September 2025.
Abstract Fault displacement hazard poses significant risks to critical infrastructure such as buildings, roads, and pipelines. While some structures can tolerate a certain degree of surface displacement, others, such as buildings, are far more vulnerable. Probabilistic Fault Displacement Hazard Assessment (PFDHA) quantifies the probability of exceeding
A. Valentini, F. Visini, P. Boncio, O. Scotti, S. Baize   +4 more
wiley   +1 more source

Regulating Over‐the‐Counter Markets

The Journal of Finance, Volume 80, Issue 4, Page 1929-1962, August 2025.
ABSTRACT Over‐the‐counter (OTC) trading thrives despite competition from exchanges. We let OTC dealers cream skim from exchanges in an otherwise standard Glosten and Milgrom framework. Restricting the dealer's ability to cream skim induces “cheap substitution”: some traders exit while others with larger gains from trade enter.
TOMY LEE, CHAOJUN WANG
wiley   +1 more source

A Real-Time Marker-Based Visual Sensor Based on a FPGA and a Soft Core Processor

Sensors, 2016
This paper introduces a real-time marker-based visual sensor architecture for mobile robot localization and navigation. A hardware acceleration architecture for post video processing system was implemented on a field-programmable gate array (FPGA).
Hilal Tayara, Woonchul Ham, Kil To Chong
doaj   +1 more source

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source