Results 71 to 80 of about 168,425,485 (295)
The solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it ...
Aleksander A Andreev, Julia O Yakovleva
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A new form of equations of motion of nonholonomic mechanical systems
In the paper it is given a new form of equations of motion of nonholonomic mechanical systems. The obtained equations are written in a matrix form and in order to establish them it is unnecessary to calculate the inverse matrix of the matrix of inertia.
Do Sanh
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The article considers the methods of calculating the transition matrix of a dynamic system, which is based on the transient matrix representation by the matrix exponent and on the use of the system signal graph.
Orest Lozynskyy +4 more
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This review summarizes the transcription factors, repressive chromatin‐modifying complexes, and epigenetic mechanisms that control fetal hemoglobin repression. Notably, many regulators of γ‐globin silencing also function in transcriptional and epigenetic networks that drive cancer, highlighting opportunities to translate advances in hemoglobinopathy ...
Meigen Yu +3 more
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Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System
The classical Wazewski theorem established that nonpositivity of all nondiagonal elements pij (i≠j, i,j=1,…,n) is necessary and sufficient for nonnegativity of the fundamental (Cauchy) matrix and consequently for applicability of the Chaplygin approach
Alexander Domoshnitsky +3 more
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CEACAM1 participation in breast cancer progression
In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin +3 more
wiley +1 more source
Finding solutions of matrix equations system. [PDF]
Key agreement protocol, as well as any asymmetric cryptographic algorithm, is based on one-way functions which are easy to calculate, but to calculate the inverse of their value within a reasonable period of time is impossible.
Alekna, Andrius,
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Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu +9 more
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Coupled Sylvester-type Matrix Equations and Block Diagonalization
We prove Roth-type theorems for systems of matrix equations including an arbitrary mix of Sylvester and $\star$-Sylvester equations, in which the transpose or conjugate transpose of the unknown matrices also appear.
Dmytryshyn, Andrii,, Kågstrom, Bo,
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Solving Optimization Problems on Hermitian Matrix Functions with Applications
We consider the extremal inertias and ranks of the matrix expressions f(X,Y)=A3-B3X-(B3X)*-C3YD3-(C3YD3)*, where A3=A3*, B3, C3, and D3 are known matrices and Y and X are the solutions to the matrix equations A1Y=C1, YB1=D1, and A2X=C2, respectively.
Xiang Zhang, Shu-Wen Xiang
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