Results 41 to 50 of about 79,402 (278)
Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
, 1998 We use the relative modular operator to define a generalized relative entropy for any convex operator function g on the positive real line satisfying g(1) = 0.
Lesniewski, Andrew, Ruskai, Mary Beth
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Extensions of Monotone Operator Functions [PDF]
Proceedings of the American Mathematical Society, 1976 It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
openaire +1 more source
Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories
Advanced Engineering Materials, EarlyView.A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi +3 more
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Tailoring Functional Properties of Ti–Ni–Cu Shape Memory Alloy Thin Films for MEMS Actuators
Advanced Engineering Materials, EarlyView.A comprehensive study of critical parameters required to develop well‐performing Ti–Ni–Cu thin film shape memory alloy microactuators is provided. Materials science and device integration aspects are integrated by addressing structural and physical relationships using complementary characterization techniques as well as a practical fabrication solution
Elaheh Akbarnejad +6 more
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Cancellability and Regularity of Operator Connections [PDF]
, 2014 An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above and the transformer inequality.
Chansangiam, Pattrawut
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Advanced Engineering Materials, EarlyView.Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova +2 more
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New Trends in Applying LRM to Nonlinear Ill-Posed Equations
MathematicsTautenhahn (2002) studied the Lavrentiev regularization method (LRM) to approximate a stable solution for the ill-posed nonlinear equation κ(u)=v, where κ:D(κ)⊆X⟶X is a nonlinear monotone operator and X is a Hilbert space.
Santhosh George +4 more
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Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator
, 2012 The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+
Borwein, Jonathan M., Yao, Liangjin
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Production of MgO/TiC Composites From MgO‐C Recyclates Using Spark Plasma Sintering
Advanced Engineering Materials, EarlyView.Using the spark plasma sintering technique, MgO/TiC composites are manufactured from recycled MgO‐C refractories stemming from the steel production that were mixed with titanium powder. This article shows, how the size of the Ti grains and their distribution in the powder mixture affect the local carbon concentration in TiC.
Jiayan Yu +3 more
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Journal of Inequalities and Applications, 2017 In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
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