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Equivalent norms
In this chapter we discuss the basic notion of an equivalent norm (Definition 2 above) in Section 3.1, and for finite-dimensional spaces, in Section...
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Equivalent Differential Equations in Problems of Control Theory and the Theory of Hamiltonian Systems
AbstractNew approaches are proposed in the problem of constructing equivalent scalar differential equations for multidimensional nonlinear systems...
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Equivalent birational embedding IV: reduced varieties
Two reduced projective schemes are said to be Cremona equivalent if there is a Cremona map that maps one in the other. In this paper I revise some of...
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On a Hilbert-type integral inequality in the whole plane with the equivalent forms
In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane....
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Zero-norm regularized problems: equivalent surrogates, proximal MM method and statistical error bound
For the zero-norm regularized problem, we verify that the penalty problem of its equivalent MPEC reformulation is a global exact penalty, which...
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Smith Form of Triangular Multivariate Polynomial Matrix
The Smith form of a matrix plays an important role in the equivalence of matrix. It is known that some multivariate polynomial matrices are not...
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Recognition of Affine-Equivalent Polyhedra by Their Natural Developments
The classical Cauchy rigidity theorem for convex polytopes reads that if two convex polytopes have isometric developments then they are congruent. In...
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Characterization of positive homogeneity for the principle of equivalent utility
We establish a characterization of positive homogeneity for the principle of equivalent utility under cumulative prospect theory. The...
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Fisher–Rao geometry of equivalent Gaussian measures on infinite-dimensional Hilbert spaces
This work presents an explicit description of the Fisher–Rao Riemannian metric on the Hilbert manifold of equivalent centered Gaussian measures on an...
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An equivalent to the Riemann hypothesis in the Selberg class
In 2020 S. M. Gonek, S. W. Graham and Y. Lee formulated the Lindelöf hypothesis for prime numbers and proved that it is equivalent to the Riemann...
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An equivalent formulation of 0-closed sesquilinear forms
In 1970, McIntosh introduced the so-called 0-closed sesquilinear forms and proved a corresponding representation theorem. In this paper, we give a...
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T-Type Digraphs via Kronecker Canonical Form
In this paper, the authors aim to study Kronecker canonical form theory for T-type digraphs, which can be used to construct trees by tensor product...
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Hall algebras of two equivalent extriangulated categories
For any positive integer n , let A n be a linearly oriented quiver of type A with n vertices. It is well-known that the quotient of an exact category...
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Geodesic flows of c-projectively equivalent metrics are quantum integrable
Given two c-projectively equivalent metrics on a Kähler manifold, we show that canoncially constructed Poisson-commuting integrals of motion of the...
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On the Simultaneous Determination of the Distribution Density of Sources Equivalent in the External Field and the Spectrum of the Useful Signal
AbstractThe article examines the possibility of simultaneous reconstruction of sources equivalent in the external field and spectral characteristics...
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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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Complexity of the Problem of Being Equivalent to Horn Formulas. II
We look at the complexity of the existence problem for a Horn sentence equivalent to a given one. It is proved that for a signature consisting of one...
