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More generally, we will call a modal logic a Geach logic if it can be axiomatized by adding a finite set of Geach schemes to \({\textsf{K}}\).
The answer, however, turned out to be negative, since Hella proved that the PTIME computable properties of arbitrary finite structures cannot be characterized by adding a finite number of generalized quantifiers to FO, or even to FO LFP).
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In [10], the authors have designed a new fifth order WENO finite-difference scheme by adding a higher order smoothness indicator which is obtained as a simple and inexpensive linear combination of the already existing low order smoothness indicators.
Another language translatable into L ω1,ω) in this sense is the weak second-order language obtained by adding a countable set of monadic predicate variables to L which are then interpreted as ranging over all finite sets of individuals.
We propose a convex variational approach to compute localized density matrices for both zero temperature and finite temperature cases, by adding an entry-wise ℓ1 regularization to the free energy of the quantum system.
By adding an ascot!
In this method, we add a finite number of surface integral to leave the action finite [33].
By adding finite-time pinning controllers to partial nodes and building a novel differential inequality, some sufficient conditions are derived to ensure the finite-time synchronization of complex dynamical networks.
By skillfully using finite-time stability theorem, parameter separation technique and adding a power integrator method, an adaptive state feedback controller is obtained.
In this paper, we develop and investigate a new finite element Stokes ice sheet dynamics model that enforces local element-wise mass conservation by enriching the pressure finite element space by adding the discontinuous piecewise constant pressure space to the Taylor Hood pressure space.
Beginning with any finite collection of primes say, a, b, c, …, n Euclid considered the number formed by adding one to their product: N = (abc⋯n) + 1.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com