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Differential Operators and Differential Modules
2003In this chapter k is a differential field such that its subfield of constants C is different from k and has characteristic 0. The skew (i.e., noncommutative) ring D :=k[∂] consists of all expressions L :=a n ∂ n + ⋯ + a1∂ + a0 dot with n ∈ Z, n ≥ 0 and all a i ∈ k. These elements L are called differential operators.
Marius van der Put, Michael F. Singer
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ON SECOND ORDER DIFFERENTIAL OPERATORS
The Annals of Mathematics, 1955Nevertheless, (1.2) is meaningful only under differentiability conditions which are unnatural for (1.1). An adjoint to (1.1) exists always, but it cannot be written in terms of derivatives with respect to x. The characteristic property of A appears to be (1) that it is of local character, (2) that whenever f has a local minimum at xo and f(xo) = 0 ...
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Differentials and Differential Operations
2017Bernd Steinbach, Christian Posthoff
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Discrete differential operators on polygonal meshes
ACM Transactions on Graphics, 2020Fernando De Goes, Mathieu Desbrun
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Hypercalcemia and cancer: Differential diagnosis and treatment
Ca-A Cancer Journal for Clinicians, 2018Sarah B Fisher, Nancy D Perrier, Facs
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