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On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects
(MDPI, 2021)
Many cities nowadays explore different circular designs as new sustainable city concepts in different urban aspects. The new trend, as part of the adaptation for climate change, is a strategy of increasing the number of ...
Between graphical zonotope and graph-associahedron
(Turkish Journal of Mathematics, 2023)
This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph–associahedron ...
Еxtended Schatten norms of random graphs and Nikiforov conjecture
(Hacettepe University, 2022)
In this paper we give a geometric mean and mean of
p-th degree of singular values for almost all graphs. We prove three
theorems about a conjecture of V. Nikiforov for Schatten p-norm
of graphs when p > 2. We prove that ...
Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach
(MDPI, 2020)
In this work we explore the relationship between particulate matter (PM) and small ion (SI) concentration in a typical indoor elementary school environment. A range of important air quality parameters (radon, PM, SI, ...