2022/1
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Recent Submissions
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On some similarities and differences between deep neural networks and kernel learning machines
(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
(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
(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
(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
(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 ... -
Necessary conditions for hyponormality of Toeplitz operators on the Bergman space
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)In this paper, we present necessary conditions for the hyponormality of Toeplitz operator Tφ on the Bergman space L2 a(D) when the symbol φ is a polyno- mial in z and z. -
On the category of ordered pre-topological spaces
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022)A pre-topological space equipped with an order is called an ordered pre- topological space. These spaces form the objects of a category which will be de- noted by OVPT. The arrows of this category are certain increasing ...