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Visualizing properties of a quadratic function using Torricelli’S fountain
(American Association of Physics Teachers, 2020)
In the same chapter of his book Opera geometrica, Torricelli published1 two discoveries: 1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of ...
Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions
(Element d.o.o., 2022)
In this paper we improve the upper bound of the third order Hankel determinant for
the class of Ozaki close-to-convex functions. The sharp bound is conjectured.
Intuitionistic Propositional Probability Logic
(Mathematical Logic Quarterly, 2022)
We give sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators, unlike other works on this topic, is also intuitionistic, that is, measure functions ...
On the Generalized Strongly Nil - Clean Property of the Matrix Rings
(World Scientific Publishing Company, 2021)
Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a ...
Weighted quasisymmetric enumerator for generalized permutohedra
(Springer, 2020)
We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. ...
Integer points enumerator of hypergraphic polytopes
(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2021)
For a hypergraphic polytope there is a weighted quasisymmetric
function which enumerates positive integer points in its normal fan
and determines its f −polynomial. This quasisymmetric function
invariant of hypergraphs ...
Hermitian Toeplicz determinants fr the class S of univalent functions
(National Academy of Sciences of the Republic of Armenia, 2021)
Introducing a new method, we give sharp estimates
of the Hermitian Toeplitz determinants of third order for the
class S of functions univalent in the unit disc. The new approach
is also illustrated on some subclasses ...
H-colouring revisited
(Faculty of Sciences and Mathematics, Department of Mathematics, 2023)
In this paper we give a new, shortened proof of NP-completeness of CSP problem for undirected, non bipartite graphs, of interest for generalization to QCSP problem. We also give some illustrative examples.
Long-Term Thermal Stress Analysis and Optimization of Contraction Joint Distance of Concrete Gravity Dams
(MDPI, 2022)
Results of the conducted research aiming to demonstrate the methodology of optimization of dam monolith length (distance between contraction joints), through monitoring the thermal tensile stresses during construction and ...
Sharp upper bounds for initial coefficients and second Hankel determinants
(Korean Mathematical Society, 2020)