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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. ...
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 ...
Digital bio-transformations inspired by plants: urban installation as 3d model inspired by sketch of spathodea campanulata p. beauv (nandi flame)
(Faculty of Applied Arts, University of Arts in Belgrade, Serbia, 2021)
The field of biodesign, as an art and scientific discipline, deals with the exploration of the principles of organization and functioning of living organisms and the practical application of the acquired knowledge in ...
Biomimetic approach to parametric flower modeling
(19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil, 2021)
A sustainable design based on biomimicry can still fulfill the functional needs of humans and be
visually satisfying by representing man's connection to nature. Biomorphic means life, living forms,
it’s often associated ...
Interpreting parametric-biomimicry design from cad тo bim software: digital modelling based on a sketch of nandi flame
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2021)
This research represents an application of two digital modelling softwares, first digital modelling software, chosen as representative of Computer-Aided Design – CAD modelling tool was Fusion 360. The representative of ...
Biodesign inspired by the leaf and flower of dandelion (leontodon taraxacum l.)
(Published by the AFGS2021 Organizing Committee, 2021)
Bionics is a scientific field that studies the laws of origin and structure of "living"
nature in combination with knowledge of biology and technology. By applying bionics, sustainable solutions and answers to the great ...
Geometric proportional model of the church of the Ljubostinja monastery
(University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia, 2020)
The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints
between them, can fully describe the logic of architectural design. ...
Chebyshev polynomials and r-circulant matrices
(Applied Mathematics and Computation, 2022)
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are ...
An additional students’ task at Descriptive Geometry
(Faculty of Mechanical Engineering, University of Belgrade, 2020)
At the Faculty of Civil Engineering, University of Belgrade, beside the obligatory forms of lectures and exercises, freshmen students have the opportunity to widen their practical experience in application of geometric ...
Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2020)
At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course, non-obligatory workshops named “facultative task” are held for the three generations of freshman students with the aim to give ...