Given a family of null hypotheses $H_{1},\ldots,H_{s}$, we are interested in the hypothesis $H_{s}^{\gamma}$ that at most $\gamma-1$ these false. Assuming corresponding $p$-values independent, investigating combined valid for testing $H_{s}^{\gamma}$. In various settings which is false, determine $p$-value works well setting. Via simulations, find Stouffer method if uniformly distributed and si...

In this paper, we continue to consider the generalized Liouville system: $$\begin{aligned} \Delta _g u_i+\sum _{j=1}^n a_{ij}\rho _j\left( \frac{h_j e^{u_j}}{\int _M h_j e^{u_j}dV_g}- {1} \right) =0\quad \text {in }M,\quad i\in I=\{1,\ldots ,n\}, \end{aligned}$$ where (M, g) is a Riemann surface M with volume 1, $$h_1,\ldots ,h_n$$ are positive $$C^3$$ functions, $$dV_g$$ form, and $$\rho _j\in...

The problem of Multi-user Blind $X$ -secure notation="LaTeX">$T$ -colluding Symmetric Private Information Retrieval from Maximum Distance Separable (MDS) coded storage system with notation="LaTeX">$B$ Byzantine and notation="LaTeX">$U...

Diberikan graf terhubung dan sederhana $G=(V(G), E(G))$ bilangan bulat positif $k$. Himpunan $S \subseteq V(G)$ disebut sebagai pembangkit $k$-metrik jika untuk setiap pasang titik berbeda $u,v \in V(G)$, terdapat paling sedikit $k$ $w_{1}, w_{2}, \ldots, w_{k} S$ sedemikian sehingga $d(u,w_{i}) \neq d(v,w_{i})$ $i \{1,2,\ldots, k\}$, dengan $d(u,v)$ adalah panjang \emph{path} terpendek dari $u...

In this paper, we mainly discuss the nonuniform average sampling and reconstruction in multiply generated shift-invariant subspaces \[ V_{p,q}(\Phi_r) = \bigg\{ \sum_{k_{1} \in \mathbf{Z}} \sum_{k_{2} \mathbf{Z}^{d}} c^T(k_{1},k_{2}) \Phi_r(\,\cdot-k_{1},\,\cdot-k_{2}): (c(k_{1},k_{2}))_{(k_{1},k_{2}) \mathbf{Z} \times \big( \ell^{p,q}(\mathbf{Z} \mathbf{Z}^d) \big)^r \bigg\} \] of mixed Lebesg...

We define a new metric between natural numbers induced by the $\ell_\infty$ norm of their unique prime signatures. In this space, we look at analog number line and study arithmetic function $L_\infty(N)$, which tabulates cumulative sum distances consecutive up to $N$ in metric. Our main result is identify positive finite limit sequence $L_\infty(N)/N$ as expectation certain random variable. The...

We consider the construction of a polygon $P$ with $n$ vertices whose turning angles at are given by sequence $A=(\alpha_0,\ldots, \alpha_{n-1})$, $\alpha_i\in (-\pi,\pi)$, for $i\in\{0,\ldots, n-1\}$. The problem realizing $A$ can be seen as that constructing straight-line drawing graph prescribed vertices, and hence, it is special case well studied an \emph{angle graph}. In 2D, we character...

using fixed point method, we prove some new stability results for lie $(alpha,beta,gamma)$-derivations and lie $c^{ast}$-algebra homomorphisms on lie $c^{ast}$-algebras associated with the euler-lagrange type additive functional equation begin{align*} sum^{n}_{j=1}f{bigg(-r_{j}x_{j}+sum_{1leq i leq n, ineq j}r_{i}x_{i}bigg)}+2sum^{n}_{i=1}r_{i}f(x_{i})=nf{bigg(sum^{n}_{i=1}r_{i}x_{i}bigg)} end{...

Abstract A nonnegative integer sequence is k -graphic if it the degree of a -uniform simple hypergraph. The problem deciding whether given $$\pi $$ π 3-graphic has recently been proved to be NP-complete, after years studies. Thus, acquires primary relevance detect classes sequences whose graphicality can test...