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Impulses in Generalized Proportional Caputo Fractional Differential Equations and Equivalent Integral Presentation
In this paper we present both main approaches in the interpretation of the impulses in generalized proportional Caputo fractional differential... -
Conformally flat affine hypersurfaces with semi-parallel cubic form
In this paper, we study locally strongly convex affine hypersurfaces with the vanishing Weyl curvature tensor and semi-parallel cubic form relative...
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Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications
We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical...
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Equivalent Norms for Modulation Spaces from Positive Cohen’s Class Distributions
We give a new class of equivalent norms for modulation spaces by replacing the window of the short-time Fourier transform by a Hilbert–Schmidt...
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Cut elimination for coherent theories in negation normal form
We present a cut-free sequent calculus for a class of first-order theories in negation normal form which include coherent and co-coherent theories...
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A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form
Let f be a normalized primitive holomorphic cusp form of even integral weight k for the full modular group SL(2, ℤ), and denote its n th Fourier...
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Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
We present the almost global in time existence result in [
13 ] of small amplitude space periodic solutions of the 1D gravity-capillary water waves... -
A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a...
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On Affine Hypersurfaces with Parallel Cubic Form Relative to Affine α-connection
Similar to Nomizu–Pinkall’s geometric characterization of the Cayley surface and Hu–Li–Zhang’s characterization of the Cayley hypersurface, how can...
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Complexity of the Problem of Being Equivalent to Horn Formulas
We look at the complexity of the existence problem for a Horn sentence (identity, quasi-identity, ∀-sentence, ∃-sentence) equivalent to a given one....
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Generalized K-Sugeno integrals and their equivalent representations
The traditional Sugeno fuzzy integral is defined on the fuzzy measure space based on monotonicity instead of additivity, in which the values of fuzzy...
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Equivalent Characterizations of Non-Archimedean Uniform Spaces
In this paper, we deal with uniform spaces given by a system of non-Archimedean pseudo-metrics. Such non-Archimedean uniform spaces are particularly... -
Equivalent conditions of a multiple Hilbert-Type integral inequality with the nonhomogeneous kernel
In this paper we prove equivalent conditions of a multiple Hilbert-type integral inequality with the general nonhomogeneous kernel and...