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Trigonometric Functions in the p-norm

open access: yesMathematics Exchange
Trigonometry is the study of circular functions, which are functions defined on the unit circle x^2 +y^2 = 1, where distances are measured using the Euclidean norm. When distances are measured using the L_p-norm, we get generalized trigonometric functions. These are parametrizations of the unit p-circle |x|^p +|y|^p = 1.
Chebolu, Sunil   +4 more
openaire   +2 more sources

Non‐Elliptical Dimension Reduction in Survival Regression

open access: yesStat, Volume 15, Issue 3, September 2026.
ABSTRACT Sufficient dimension reduction (SDR) in survival regression aims to identify low‐dimensional structures that preserve the relationship between survival time and predictors. Classical SDR methods, such as sliced inverse regression (SIR), rely on strong assumptions such as linearity, constant variance and coverage conditions, which are often ...
Minjee Kim, Minjeong Kim, Jae Keun Yoo
wiley   +1 more source

Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines

open access: yesКібернетика та комп'ютерні технології
Introduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
doaj   +1 more source

Active learning strategies in business and information & communication technology engineering higher education: A scoping review

open access: yesReview of Education, Volume 14, Issue 2, August 2026.
Abstract Active learning (AL) has emerged as a pedagogical response to diverse educational challenges across multiple disciplines. This scoping review maps the terrain of AL implementation patterns, examining AL practices in Business Education, Information and Communication Technology (ICT) Engineering, Mathematics, and Statistics from 2015 until the ...
Dubravka Novkovic   +2 more
wiley   +1 more source

Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach

open access: yesJournal of Forecasting, Volume 45, Issue 4, Page 1985-2000, July 2026.
ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch   +3 more
wiley   +1 more source

Accessibility and Serviceability Assessment to Inform Offshore Wind Energy Development and Operations off the US East Coast

open access: yesWind Energy, Volume 29, Issue 7, July 2026.
ABSTRACT The economic success of offshore wind energy projects relies on accurate projections of the construction and operations and maintenance (O&M) costs. These projections must consider the logistical complexities introduced by adverse met‐ocean conditions that can prohibit access to the offshore assets for sustained periods of time.
Cory Petersen   +7 more
wiley   +1 more source

Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients

open access: yesJournal of Time Series Analysis, Volume 47, Issue 4, Page 854-875, July 2026.
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

open access: yesMathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen   +2 more
wiley   +1 more source

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