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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 ...
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. ...
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 ...
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 ...
Weighted P-partitions enumerator
(Applicable Analysis and Discrete Mathematics, 2021)
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We ...
Hankel determinants of the second order for some classes of analytic functions
(Akadémiai Kiadó’s journals, 2021)
Bohmian-Based Approach to Gauss-Maxwell Beams
(MDPI, 2020)
Usual Gaussian beams are particular scalar solutions to the paraxial Helmholtz equation,
which neglect the vector nature of light. In order to overcome this inconvenience, Simon et al.
(J. Opt. Soc. Am. A 1986, 3, 536–540) ...
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 ...
Hybrid acrylic nanocomposites with excellent transparency and hardness/toughness balance
(Elsevier, 2020)
The composite nanofibers were used as reinforcement in acrylic polymer for the overall enhancement of thermomechanical
properties, adhesion between fibers and matrix, and fracture toughness of the final nanocomposite
since ...