A Twisting Electrovac Solution of Type II with the Cosmological Constant [PDF]
An exact solution of the current-free Einstein-Maxwell equations with the cosmological constant is presented. It is of Petrov type II, and its double principal null vector is geodesic, shear-free, expanding, and twisting.
D. Kramer +3 more
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Solutions to the T-Systems with Principal Coefficients [PDF]
The $A_\infty$ T-system, also called the octahedron recurrence, is a dynamical recurrence relation. It can be realized as mutation in a coefficient-free cluster algebra (Kedem 2008, Di Francesco and Kedem 2009). We define T-systems with principal coefficients from cluster algebra aspect, and give combinatorial solutions with respect to any valid ...
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This study presents a nonlinear solution of vertical earth pressure against positive buried pipelines with three kinds of minor principal stress trajectories, such as the circular arc, the parabolic curve, and the rotation angle linearly changed.
ZHANG Chang-guang 1, 2, WU Kai 1, SUI Jian-hao 1
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Time-like Weingarten surfaces with real principal curvatures in the three-dimensional Minkowski space and their natural partial differential equations [PDF]
We study time-like surfaces in the three-dimensional Minkowski space with diagonalizable second fundamental form. On any time-like W-surface we introduce locally natural principal parameters and prove that such a surface is determined uniquely (up to ...
Ganchev, Georgi, Mihova, Vesselka
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Principal Academic Supervision: Performance, Problems and Solutions
Supervision is an important activity that must be carried out by every educational institution to realize a quality education through coaching, repairing and increasing the professionalism of teachers and school staff. This quality education is closely related to school efforts in producing quality human resources.
Yari Dwikurnaningsih +1 more
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Dynamics of Fractional Delayed Reaction-Diffusion Equations
The long-term behavior of the weak solution of a fractional delayed reaction–diffusion equation with a generalized Caputo derivative is investigated.
Linfang Liu, Juan J. Nieto
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Principal solution of half-linear differential equation: Limit and integral characterization
We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$.
Zuzana Dosla, Ondrej Dosly
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Exact Solution Analysis of Strongly Convex Programming for Principal Component Pursuit
In this paper, we address strongly convex programming for principal component analysis, which recovers a target matrix that is a superposition of low-complexity structures from a small set of linear measurements.
Qingshan You, Qun Wan
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Structure of Spinning Particle Suggested by Gravity, Supergravity and Low Energy String Theory [PDF]
The structure of spinning particle suggested by the rotating Kerr-Newman (black hole) solution, super-Kerr-Newman solution and the Kerr-Sen solution to low energy string theory is considered. Main peculiarities of the Kerr spinning particle are discussed:
A. Burinskii +15 more
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Families of Principal Solutions of Ordinary Differential Equations [PDF]
Let A(y, Dy, ..., D'y) = 0 be an algebraic differential equation belonging to Strodt's class (D) [1, p. 5], and let M be a principal monomial [1, ?66] for A = 0. In search for principal solutions of A = 0 (i.e., solutions which are M) one substitutes y = M(1 + z).
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