Diophantine Stability and Second-Order Terms
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DOI: 10.1093/imrn/rnaf284
Abstract: We establish a Galois-theoretic trichotomy governing Diophantine stability for genus $0$ curves. We use it to prove that the curve associated to the Hilbert symbol is Diophantine stable with probability $1$. Our asymptotic formula for… read more here.
Keywords: stability second; order terms; diophantine stability; second order ... See more keywords
A Unified Approach to the Timoshenko Geometric Stiffness Matrix Considering Higher-Order Terms in the Strain Tensor
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DOI: 10.1590/1679-78255273
Abstract: Nonlinear analyses using an updated Lagrangian formulation considering the Euler-Bernoulli beam theory have been developed with consistency in the literature, with different geometric matrices depending on the nonlinear displacement parts considered in the strain tensor.… read more here.
Keywords: strain tensor; order terms; matrix; higher order ... See more keywords
Role of Higher-Order Terms in Local Piston Theory
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DOI: 10.2514/1.c034920
Abstract: The use of second- and third-order classical piston theory [1] (CPT) is commonplace, with the role of the higher-order terms being well understood [2]. The advantages of local piston theory (LPT) relative to CPT have… read more here.
Keywords: order; order terms; higher order; role higher ... See more keywords