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Related Articles from SNS
Structural properties of the implicit function defined by an integral self-consistency equation
arXiv:2606.04243v1 Announce Type: new Abstract: We study the integral equation $\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta = 1$ with $C>m$, where $\rho$ is a $C^1$ probability density on $[0,M]$ vanishing polynomially at $\eta=M$. Setting $\mathcal{I}^+(m) := \lim_{C \downarrow m}\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta$ and $\Omega := \{m \in (0,M) : \mathcal{I}^+(m) > 1\}$, the equation determines $C$ implicitly as a function of $m$ on $\Omega$, and our object of study is the dimensionless...
M&S launches training scheme for 1,000 young adults to tackle unemployment
M&S launches training scheme for 1,000 young adults to tackle unemployment A key review warned of a ‘lost generation’ as more than a million young people are not in employment, education or training - Bookmark - CommentsGo to comments Marks and Spencer is launching a new training scheme with 1,000 roles for young people to tackle growing unemployment rates. The paid scheme will be aimed at 16- to 24-year-olds over the next 18 months and is intended to help the rising number of young people...
Tricriticality and chaos in a generalized Allee-logistic map
arXiv:2606.05351v1 Announce Type: cross Abstract: We present a novel nonlinear dynamical model, the generalized Allee-logistic (GAL) map given by $x_{t+1} = r x_t (1 - x_t) G(x_t)$ where $G(x_t) = m (x_t - h) + 1 - m$ incorporates the Allee effect with magnitude $m$ and threshold $h$. The case $m = 0$ yields the logistic map with a continuous transition to extinction. Conversely, $m = 1$ recovers a previously studied model that undergoes only a discontinuous extinction-to-active transition....
Degrees of Freedom of Over-the-Air Computation over a MIMO Gaussian Network with Two Transmitters and Two Receivers
Announce Type: new Abstract: The fundamental limits of over-the-air computation (AirComp) are explored in a two-transmitter, two-receiver MIMO Gaussian network, where both receivers demand the same aggregation of source symbols originating at the two transmitters. An AirComp degrees of freedom (ACDoF) metric is defined, constrained by an asymptotic mean-squared error threshold. For a generic MIMO setting where the two transmitters are equipped with $M_1, M_2$ antennas, and the two receivers...
Empirical Approximation of $L_p$ Norms
arXiv:2606.00347v1 Announce Type: cross Abstract: We study empirical $L_p$ moments of a random vector $\pmb\varphi$ based on its i.i.d.\ copies $\pmb\varphi^1,\ldots,\pmb\varphi^m$, that is, $\frac1m\sum_{j=1}^m |\langle \pmb\varphi^j,y\rangle|^p$. Our main result is a new estimate for the expected uniform deviation \[ \mathbb{E}\sup_{y\in D}\biggl| \frac1m\sum_{j=1}^m |\langle \pmb\varphi^j,y\rangle|^p -\mathbb{E}|\langle \pmb\varphi,y\rangle|^p \biggr| \] over an arbitrary index set $D$....
Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness
arXiv:2509.08726v3 Announce Type: replace-cross Abstract: This paper focuses on the decentralized stochastic optimization problem $f(\mathbf{x})=\frac{1}{m}\sum_{i=1}^m f_i(\mathbf{x})$ over a connected network of $n$ agents, where each local function has the form of $f_i(\mathbf{x}) = {\mathbb E}\left[F(\mathbf{x};{\boldsymbol \xi}_i)\right]$ which satisfies the $(L_0,L_1)$-smooth condition but possibly nonconvex and each random variable ${\boldsymbol \xi}_i$ follows distribution ${\mathcal...
Follow live: USWNT take on Brazil in friendly
Brazil v USA 2026 Women's International Friendly Formations & Lineups Match Leaders 1 Ary Borges M 0 SOG, 0 G 1 -- None -- 1 Dudinha F 1 PASS 1 2 WesleyD 2 PASS 2 3 I. HaasD 1 TKLW, 1 DUELW 3 -- None -- -- None -- --
M&S launches new traineeship for 1,000 young people
The scheme aims to tackle the "growing challenge" of young people not in employment, education, or training.
M&S launches new traineeship for 1,000 young people
The scheme aims to tackle the "growing challenge" of young people not in employment, education, or training.
M&S launches new traineeship for 1,000 young people
The scheme aims to tackle the "growing challenge" of young people not in employment, education, or training.