• A comparison of geometric algebra and harmonic domain for linear circuit analysis 

  Sundriyal, Nitin; Ramirez, Juan Manuel; Corrochano, Eduardo Bayro (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  For a long time, non-sinusoidal, non-linear electric circuit analysis has been a prevalent topic. The supplementary analysis tool and domain are subjects of debate in many scientific groups, leading to a range of norms and ...

• On complex trinomial roots distribution 

  Jánský, Jiří; Tomášek, Petr (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  The paper deals with a certain trinomial with two strictly complex coef- ficients. The root locus technique is utilized to obtain a distribution of roots with respect to a unit circle in the complex plane. A number of roots ...

• On the ultra-quasi-tight extensions 

  Mukongo, Demco Kalusokoma; Otafudu, Olivier Olela; Toko, Wilson Bombe (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  In their previous paper [4], Künzi and Olela Otafudu constructed the ultra-quasi-metric hull of a T0-ultra-quasi-metric space. In this article, we continue these studies by investigating the tightness and essentiality of ...

• Topologies induced by graph metrics on the vertex set of graphs 

  Lalithambigai, K.; Gnanachandra, Paulraj; Jafari, Saeid (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  This paper presents a method of constructing topologies on the vertex set of a graph G induced by open balls with respect to the graph metric viz. geodesic distance, detour distance, circular distance and circular D-distance ...

• All maximal unit-regular elements of Relhyp((m),(n)) 

  Kunama, Pornpimol; Leeratanavalee, Sorasak (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  Any relational hypersubstitution for algebraic systems of type (τ, τ′) = ((mi)i∈I , (nj )j∈J ) is a mapping which maps any mi-ary operation symbol to an mi-ary term and maps any nj-ary relational symbol to an nj-ary ...

• Some remarks on neutrosophic T0 -spaces 

  Lazaar, Sami; Mhemdi, Abdelwaheb; Okbani, Hadjer (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  This paper is devoted to the study of the T0 separation axiom for a neutrosophic topological space. We give a categorical study of these spaces in a special case of neutrosophic topological spaces called neutrosophic ...

• Properties of a firm’s factor demands, optimal production correspondence, and an economy‘s aggregated supply/demand 

  Forrest, Jeffrey Yi-Lin; Gong, Zaiwu; Clark, Rhonda S.; Barneva, Reneta (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  Many theoretically beautiful conclusions of the producer theory were derived on the common assumption that every firm attempts to maximize its profit and minimize its cost, while all firms employ the same methodology in ...

• Connections between matrix products for 3-vectors and geometric algebra 

  Bongardt, Bertold; Löwe, Harald (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2023)

  The geometric product represents a core concept for establishing geometric algebras and in case of vectors matches the formal sum of their inner product and their wedge product. The geometric product is reconsidered for ...

• On Bourbaki-bounded sets on quasi-pseudometric spaces 

  Otafudu, Olivier Olela; Mukonda, Danny (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  In metric spaces, a set is Bourbaki-bounded if and only if every real- valued uniformily continuous function on it is bounded. In this article, we study Bourbaki-boundedness on quasi-pseudometric spaces. It turns out that ...

• Bayesian variable selection for linear regression with the κ-G priors 

  Ma, Zichen; Fokoué, Ernest P. (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  In this paper, we propose a method that balances between variable se- lection and variable shrinkage in linear regression. A diagonal matrix G is injected to the covariance matrix of prior distribution of the coefficient ...

• On μ-proximity spaces 

  Singh, Beenu; Singh, Davinder (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  The purpose of this paper is to introduce the notion of a μ-proximity base and to explore some properties and results of μ-proximity spaces. We show that the collection of all μ-proximities constitutes a complete lattice.

• Closed form expressions for curved surface area of revolution of hyperbolas: A hypergeometric function approach 

  Qureshi, M. I.; Akhtar, Naved; Husain, Iftikhar; Ara , Jahan (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  In this paper, we provide the exact expressions (not found in the liter- ature) for the curved surface area of revolution (about the x-axis and y-axis) of horizontal and oblique hyperbolas. Closed-form expressions for the ...

• The trade-off between goals and uncertainty of outcome in professional team sports 

  Haugen, Kjetil K.; Arntzen, Halvard (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  Based on an assumption of an existing scoring probability difference be- tween two teams engaged in a football match, the conditional probability distri- bution given the number of goals in the match for the low quality ...

• Existence and uniqueness results for nonlinear fractional Langevin integro-differential equations with boundary conditions 

  Lachouri, Adel; Ardjouni, Abdelouaheb; Djoudi, Ahcene (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  This paper is devoted to the study of nonlinear fractional Langevin inte- gro differential equations with boundary conditions. Some effective results concern- ing the existence and uniqueness are obtained by applying the ...

• Compositions and decompositions of binary relations 

  Chajda, Iva; Länger, Helmut (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  It is well known that to every binary relation on a non-void set I there can be assigned its incidence matrix, also in the case when I is infinite. We show that a certain kind of “multiplication” of such incidence matrices ...

• On some similarities and differences between deep neural networks and kernel learning machines 

  Pei, Eddie; Fokoué, Ernest (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  This paper presents a thorough computational comparison of the predic- tive performances of deep neural networks and kernel learning machines. The work featured here successfully establishes that on both real-life datasets ...

• Iterative system of nabla fractional difference equations with two-point boundary conditions 

  Khuddush, Mahammad; Prasad, K. Rajendra (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  In this paper, we consider the nabla fractional order boundary value prob- lem ∇ß−1 n0 [∇zj (t)] + φ(t)gj (zj+1(t)) = 0, t ∈ Nn n0+2, 1 < ß < 2, azj (n0 + 1) − b∇zj (n0 + 1) = 0, czj (n) + d∇zj (n) = 0, where j = 1, 2, . ...

• A game theory explanation for menstrual synchrony: The harem paradox 

  Haugen, Kjetil K. (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  The 50th anniversary of the McClintock effect deserves a new view on the subject. This paper applies (evolutionary) game theory to gain further insight. Among interesting results are strong indications of Nash equilibria ...

• Third order differential subordination associated with Janowski functions  

  Jeyaraman, M. P.; Lavanya, V. Agnes S. J.; Aaishafarzana, H. (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  Using the admissibility condition, we obtain certain third order differ- ential subordination results for an analytic function p with p(0) = 1 belonging to the class of Janowski functions, P[A, B]. As an application, certain ...

• Existence of solutions for a class of second-order boundary value problems 

  Haghshenas, Hadi; Afrouzi, Ghasem A. (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)

  We employ some known critical point theorems to establish results on the existence of weak solutions for an impulsive boundary value problem depending on two real parameters. One of the results ensures the existence of at ...

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