Results 41 to 50 of about 1,468,677 (198)
Lasso for hierarchical polynomial models
Abstract The divisibility conditions implicit in a polynomial hierarchy suggest parameter constraints in regression. With this idea, we establish strong and weak hierarchies for both the lasso and relaxed lasso. Our proposal extends prior work on hierarchical lasso, which was mainly concerned with models of degree 2.
H. Maruri‐Aguilar, S. Lunagómez
wiley +1 more source
A finite group is normally monomial, if all its irreducible characters are induced from linear characters of normal subgroups. We bound the derived length, and in some situations also the nilpotency class, of normally monomial p-groups, and make some ...
Mann, Avinoam
core +1 more source
Aluminum‐enhanced afterburning renders AE explosives more hazardous than conventional ones. Corrugated steel linings reduce far‐field AE blast overpressure by ~50% through wave reflection and dissipation. The developed model accurately predicts peak pressure (<10% error) and arrival time (<3% error), supporting protective design.
Zhen Wang +5 more
wiley +1 more source
For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider the general conditions that have to be satisfied by the coefficients of a second-order differential equation with at most k + 1 singular points in order ...
Christiane Quesne
doaj +1 more source
Graded Differential Polynomial Rings
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley +1 more source
Uniqueness of the limit cycles for complex differential equations with two monomials
We prove that any complex differential equation with two monomials of the form z˙ = azk ¯zl + bzm¯zn, with k, l, m, n non-negative integers and a, b ∈ C, has one limit cycle at most. Moreover, we characterise when such a limit exists and prove that then it is hyperbolic. For an arbitrary equation of the above form, we also solve the centrefocus problem
Álvarez Torres, María Jesús +2 more
openaire +4 more sources
ABSTRACT Quadrupedal robots operating in unstructured environments require adaptive control systems that can handle diverse terrain conditions without prior surface characterization. This paper presents an integrated control architecture that combines Model Predictive Control (MPC) with adaptive impedance control and SINDy‐based model corrections for ...
Peter James McConnellogue +4 more
wiley +1 more source
A Two-Way Convolution of the Mittag-Leffler Function with Sheffer Polynomials
This article presents a two-way convolution of the Mittag-Leffler function with Sheffer polynomials via the umbral algebraic method, thereby introducing the Mittag-Leffler–Sheffer polynomials (MLSPs) and the Sheffer–Mittag-Leffler function (SMLF).
Waseem Ahmad Khan +5 more
doaj +1 more source
Uniqueness of Meromorphic Functions Concerning Differential Monomials
Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions f(z) and g(z) satisfy ,where k and n are tow positive integers satisfying k ≥ 3 and n ≥ 11 , then either where c1, c2, c, are three constants, satisfying (c1 c2)n+1c>n+1=- 1 or f = tg for a constant t such ...
Hui Huang, Bin Huang
openaire +2 more sources
ABSTRACT Electric power systems are undergoing a fundamental transition from synchronous generator (SG)‐dominated systems to inverter‐based resource (IBR)‐dominated systems. Lyapunov‐ and energy‐function‐based direct methods provide an effective way to estimate the stability region, also known as the region of attraction (ROA), and have become a ...
Yifan Zhang +5 more
wiley +1 more source

