Results 11 to 20 of about 4,227,419 (291)

On the generalized Jacobi equation. [PDF]

open access: yes, 2008
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
core   +5 more sources

The Lockdown Diaries of the Working Class

open access: yes, 2022
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
core   +4 more sources

Stationary solutions for the Cahn-Hilliard equation [PDF]

open access: yes, 1998
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
core   +6 more sources

On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]

open access: yes, 2005
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
core   +6 more sources

A CLASS OF DIOPHANTINE EQUATIONS [PDF]

open access: yesProceedings of the National Academy of Sciences, 1959
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]

open access: yes, 1998
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
core   +1 more source

On Equational Definability of Function Classes [PDF]

open access: yes2011 41st IEEE International Symposium on Multiple-Valued Logic, 2011
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
openaire   +5 more sources

On the Stationary Cahn-Hilliard Equation: Bubble Solutions [PDF]

open access: yes, 1998
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
core   +1 more source

A new class of modular equation for Weber functions [PDF]

open access: yes, 2007
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.
core   +1 more source

An evaluation of the U.S. EPA's correction equation for PurpleAir sensor data in smoke, dust, and wintertime urban pollution events [PDF]

open access: yesAtmospheric Measurement Techniques, 2023
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
doaj   +1 more source

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