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Topological coordination numbers and coordination reciprocity from electron‐density distributions
An approach is presented to calculate topological coordination numbers (tCNs) obeying the principle of coordination reciprocity from solid angles subtended by the interatomic surfaces of electron density (QTAIM) atomic domains. The tCN approach characterizes a compound's coordination situation as a set of sub‐coordination scenarios with associated ...
Frank R. Wagner+2 more
wiley +1 more source
Generalizations of Rolle’s Theorem
The classical Rolle’s theorem establishes the existence of (at least) one zero of the derivative of a continuous one-variable function on a compact interval in the real line, which attains the same value at the extremes, and it is differentiable in the ...
Alberto Fiorenza, Renato Fiorenza
doaj +1 more source
Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley +1 more source
Characterizations of minimal elements of upper support with applications in minimizing DC functions
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh+2 more
doaj +1 more source
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley +1 more source
A Primer on Topological Vector Spaces and Locally Convex Spaces [PDF]
Alexander Schmeding
openalex +1 more source
A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces [PDF]
Donal O’Regan
openalex +1 more source
Cantor's intersection theorem and some generalized fixed point theorems over a locally convex topological vector space [PDF]
A. P. Baisnab+2 more
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Geometric Structures Induced by Deformations of the Legendre Transform. [PDF]
Morales PA, Korbel J, Rosas FE.
europepmc +1 more source