The Signless Laplacian Estrada Index of Unicyclic Graphs [PDF]
For a simple graph G, the signless Laplacian Estrada index is defined as SLEE(G)=∑ni=1eqi, where q1, q2,..., qn are the eigenvalues of the signless Laplacian matrix of G.
Hamid Reza Ellahi +3 more
doaj +1 more source
Resolving Matrix Spencer Conjecture Up to Poly-logarithmic Rank
We give a simple proof of the matrix Spencer conjecture up to poly-logarithmic rank: given symmetric $d \times d$ matrices $A_1,\ldots,A_n$ each with $\|A_i\|_{\mathsf{op}} \leq 1$ and rank at most $n/\log^3 n$, one can efficiently find $\pm 1$ signs $x_1,\ldots,x_n$ such that their signed sum has spectral norm $\|\sum_{i=1}^n x_i A_i\|_{\mathsf{op}} =
Nikhil Bansal, Haotian Jiang, Raghu Meka
openaire +2 more sources
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method [PDF]
For each affine Kac-Moody algebra $X_n^{(r)}$ of rank $\ell$, $r=1,2$, or $3$, and for every choice of a vertex $c_m$, $m=0,\dots,\ell$, of the corresponding Dynkin diagram, by using the matrix-resolvent method we define a gauge-invariant tau-structure ...
Yang, Di +5 more
core +1 more source
Stochastic estimation of level density in nuclear shell-model calculations
An estimation method of the nuclear level density stochastically based on nuclear shell-model calculations is introduced. In order to count the number of the eigen-values of the shell-model Hamiltonian matrix, we perform the contour integral of the ...
Shimizu Noritaka +5 more
doaj +1 more source
Bounded and multiperiodic solutions of the system of partial integro-differential equations
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
doaj +1 more source
The Weeks method for the numerical inversion of the Laplace transform utilizes a Möbius transformation which is parameterized by two real quantities, σ and b .
Patrick O Kano +2 more
doaj +1 more source
Early Impact of Childhood Opportunity on Neurocognitive Outcomes in Sickle Cell Disease
ABSTRACT Introduction Neurocognitive impairment is a well‐recognized complication of sickle cell disease (SCD) that begins early in childhood and persists across development. While cerebrovascular injury contributes substantially to risk, neurocognitive deficits are also observed in children without overt or silent cerebral infarctions, suggesting ...
Julia E. LaMotte +5 more
wiley +1 more source
Semiclassical resolvent estimates for Schrödinger matrix operators with eigenvalues crossing [PDF]
International audienceFor semiclassical Schrödinger 2 × 2-matrix operators, the symbol of which has crossing eigenvalues, we investigate the semiclassical Mourre theory to derive bounds O(h −1) (h being the semiclassical parameter) for the boundary ...
Thierry Jecko, Jecko, Thierry
core +1 more source
The Role of Chemotherapy in Pediatric Myoepithelial Carcinoma: A Systematic Review of the Literature
ABSTRACT Myoepithelial carcinoma (MEC) in pediatric patients is a rare and aggressive malignancy characterized by heterogeneous morphology and variable molecular features. The optimal role of chemotherapy remains unclear. We conducted a systematic review according to PRISMA 2020 guidelines to evaluate chemotherapy in pediatric and young‐adult patients ...
Marco Salvi +7 more
wiley +1 more source
Whole space case for solution formula of Korteweg type fluid motion in R3 [PDF]
In this paper we consider the solution formula of linearized diffusive capillary model of Korteweg type without surface tension in three-dimensional Euclidean space ℝ3 using Fourier transform.
Bagus Suhada Dede +5 more
doaj +1 more source

