Results 101 to 110 of about 7,036,812 (378)
R-matrix for a geodesic flow associated with a new integrable peakon equation
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
core
Abstract A.C.M. Ran and M.C.B. Reurings [A.C.M. Ran, M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. American Mathematical Society 132 (2003) 1435–1443.] proved that under continuity of F the matrix equation X − ∑ i = 1 m A i ⋆ F ( X ) A i
Reza Saadati+2 more
openaire +2 more sources
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner+6 more
wiley +1 more source
Nonlinear dynamics of open quantum systems
The evolution of a composite closed system using the integral wave equation with the kernel in the form of path integral is considered. It is supposed that a quantum particle is a subsystem of this system.
Samarin, A. Yu.
core +1 more source
This paper is devoted to some identities of matrix and determinants. In this article, matrices inequalities are widely used. Matrices are non-optimistic. The matrix's determinants have been proven. In addition to the left module and the right module descriptions in this article. In general, this article is devoted to matrix approximation.
Ugli Iob+2 more
openaire +1 more source
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon+13 more
wiley +1 more source
The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q
In this paper, we study the matrix equation X+A⋆X−1A+B⋆X−1B=Q, where A and B are square matrices, and Q is a positive definite matrix, and propose the iterative methods for finding positive definite solutions of the matrix equation.
S. Vaezzadeh+3 more
semanticscholar +1 more source
The tumor microenvironment is a dynamic, multifaceted complex system of interdependent cellular, biochemical, and biophysical components. Three‐dimensional in vitro models of the tumor microenvironment enable a better understanding of these interactions and their impact on cancer progression and therapeutic resistance.
Salma T. Rafik+3 more
wiley +1 more source
Long non‐coding RNAs (lncRNAs) occupy an abundant fraction of the eukaryotic transcriptome and an emerging area in cancer research. Regulation by lncRNAs is based on their subcellular localization in HNSCC. This cartoon shows the various functions of lncRNAs in HNSCC discussed in this review.
Ellen T. Tran+3 more
wiley +1 more source
Solutions of the Yang-Baxter matrix equation for an idempotent
Let $A$ be a square matrix which is an idempotent. We find all solutions of the matrix equation of $AXA=XAX$ by using the diagonalization technique for $A$.
A. Cibotarica+3 more
semanticscholar +1 more source