Curve-based monotonicity: a generalization of directional monotonicity [PDF]
International Journal of General Systems, 2019 In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of α-monotonicity, where α is the corresponding curve.
Jana Špírková +2 more
exaly +4 more sources
On the Monotonicity of Relative Entropy: A Comparative Study of Petz’s and Uhlmann’s Approaches [PDF]
EntropyWe revisit the monotonicity of relative entropy under the action of quantum channels, a foundational result in quantum information theory. Among the several available proofs, we focus on those by Petz and Uhlmann, which we reformulate within a unified ...
Santiago Matheus +2 more
doaj +2 more sources
Size-Change Termination, Monotonicity Constraints and Ranking Functions [PDF]
Logical Methods in Computer Science, 2010 Size-Change Termination (SCT) is a method of proving program termination based on the impossibility of infinite descent. To this end we may use a program abstraction in which transitions are described by monotonicity constraints over (abstract) variables.
Amir M. Ben-Amram
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A nontrivial solution for a nonautonomous Choquard equation with general nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 With the help of the monotonicity trick, a nonautonomous Choquard equations with general nonlinearity is studied and a nontrivial solution is obtained.
Ling Ding, Jiu Liu, Yan-Xiang Yuan
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Generalized Monotonicity Analysis [PDF]
SSRN Electronic Journal, 2006 The authors consider a nonlinear equation \(f(x,t)=0,\) where \(x \in \mathbb R^{n}\) is a decision variable, \(t \in \mathbb R^{m}\) is a parameter, and \(f : \mathbb R^{n} \times \mathbb R^{m} \rightarrow \mathbb R^{n}\) is a smooth function and investigate monotonicity issues of the solution trajectory (path) \(x(t)\) (or some function \(\phi (x)\))
Strulovici, Bruno H., Weber, Thomas A.
openaire +2 more sources
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations [PDF]
E3S Web of Conferences, 2019 Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved.
Korelstein Leonid
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Monotonicity Constraints for Termination in the Integer Domain [PDF]
Logical Methods in Computer Science, 2011 Size-Change Termination (SCT) is a method of proving program termination based on the impossibility of infinite descent. To this end we use a program abstraction in which transitions are described by Monotonicity Constraints over (abstract) variables ...
Amir M. Ben-Amram
doaj +1 more source
Generalized Proportional Reversed Hazards Model [PDF]
The Egyptian Statistical Journal, 2004 Inthis paper, we propose to generalized proportional reversed hazards model by Tsx*,t=[Ts,(X, t)]a, where Tsx*,tis baseline distribution func- tion and a is a positive real number.
M. Kayid, I. Elbatal
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An Extension to Nonlinear Sum-Difference Inequality and Applications
Advances in Difference Equations, 2009 We establish a general form of sum-difference inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums.
Wu-Sheng Wang, Xiaoliang Zhou
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Compensating Data Shortages in Manufacturing with Monotonicity Knowledge
Algorithms, 2021 Systematic decision making in engineering requires appropriate models. In this article, we introduce a regression method for enhancing the predictive power of a model by exploiting expert knowledge in the form of shape constraints, or more specifically ...
Martin von Kurnatowski +8 more
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