Results 11 to 20 of about 4,227,419 (291)
On the generalized Jacobi equation. [PDF]
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
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The Lockdown Diaries of the Working Class
Collated by the Working Class Collective, The Lockdown Diaries of the Working Class is a beautiful, self-published, illustrated book featuring the diaries of working class people from across the UK and their experiences of life during the first COVID19 ...
The Working Class Collective
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Stationary solutions for the Cahn-Hilliard equation [PDF]
We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point.
Winter, M, Wei, J
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On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
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A CLASS OF DIOPHANTINE EQUATIONS [PDF]
Nach Verf. hat \[ \alpha^x+\beta^x=\alpha^n+\beta^n,\quad \alpha,\beta=\tfrac 12 (1\pm\sqrt{-7}), \] für gegebene \(n\) höchstens zwei Lösungen und für \(n=2^m\) genau die triviale Lösung \(x=2^m\).
openaire +3 more sources
On the stationary Cahn-Hilliard equation: Interior spike solutions [PDF]
We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Winter, M, Wei, J
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On Equational Definability of Function Classes [PDF]
We propose a notion of functional equation for functions of a fixed arity, which is based on a pair of clones. We present necessary conditions for aclass of functions to be definable by such equations, and show that for certain choices of clones these conditions are also sufficient.
Miguel Couceiro +2 more
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On the Stationary Cahn-Hilliard Equation: Bubble Solutions [PDF]
We study stationary solutions of the Cahn--Hilliard equation in a bounded smooth domain which have an interior spherical interface (bubbles). We show that a large class of interior points (the ``nondegenerate peak'' points) have the following ...
Winter, M +3 more
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A new class of modular equation for Weber functions [PDF]
We describe the construction of a new type of modular equation for Weber functions. These bear some relationship to Weber's modular equations of the irrational kind. Numerous examples of these equations are explicitly computed.
Hart, William B.
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An evaluation of the U.S. EPA's correction equation for PurpleAir sensor data in smoke, dust, and wintertime urban pollution events [PDF]
PurpleAir sensors (PASs) are low-cost tools to measure fine particulate matter (PM) concentrations and are now widely used, especially in regions with few regulatory monitors.
D. A. Jaffe +9 more
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