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46Miller, Mirka
20Morris, Sidney
17Kruger, Alexander
15Sugeng, Kiki Ariyanti
14Lin, Yuqing
13Baca, Martin
13Rubinov, Alex
13Ryan, Joe
11Hofmann, Karl
11Pineda-Villavicencio, Guillermo
9Kelarev, Andrei
8Mammadov, Musa
8Outrata, Jiri
6Balbuena, Camino
6Gabriyelyan, Saak
6Yearwood, John
6Yost, David
5Abawajy, Jemal
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210102 Applied Mathematics
12Graph theory
110802 Computation Theory and Mathematics
11Mathematics
8Antimagic labeling
6Data mining
6Variational analysis
50103 Numerical and Computational Mathematics
5Metric regularity
5Moore bound
5Normal cone
5Number theory
40906 Electrical and Electronic Engineering
4Connectivity
4Degree/diameter problem
4Lie group
4Numerical methods
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A problem of modal control in a linear neutral system

- Ivanov, Anatoli, Khusainov, D. Ya

**Authors:**Ivanov, Anatoli , Khusainov, D. Ya**Date:**2001**Type:**Text , Journal article**Relation:**Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm Vol. 8, no. 3 (2001), p. 395-404**Full Text:**false**Reviewed:****Description:**A problem of modal control is considered for a class of linear multidimensional differential delay systems of neutral type. The control vector is sought in the form that results in a given in advance characteristic equation of the closed system. The problem is completely solved for systems of a special form, the so-called canonical systems. A two-dimensional example is considered in full detail.

Dynamics of positive multiconvex relations

- Vladimirov, Alexander, Rubinov, Alex

**Authors:**Vladimirov, Alexander , Rubinov, Alex**Date:**2001**Type:**Text , Journal article**Relation:**Journal of Convex Analysis Vol. 8, no. 2 (2001), p. 387-399**Full Text:**false**Reviewed:****Description:**A notion of multiconvex relation as a union of a finite number of convex relations is introduced. For a particular case of multiconvex process, that is, a union of a finite set of convex processes, we define the notions of the joint and the generalized spectral radius in the same manner as for matrices. We prove the equivalence of these two values if all component processes are positive, bounded, and closed. © Heldermann Verlag.

Typical behaviour in scalar delay differential equations

- Ivanov, Anatoli, Dzalilov, Zari, Rubinov, Alex

**Authors:**Ivanov, Anatoli , Dzalilov, Zari , Rubinov, Alex**Date:**2001**Type:**Text , Journal article**Relation:**Studies of University of Zilina, Mathematical series Vol. 14 , no. 1 (2001), p. 1-10**Full Text:**false**Reviewed:****Description:**C1**Description:**2003002564

Attracting sets for increasing co-radiant and topical operators

- Kloeden, Peter, Rubinov, Alex

**Authors:**Kloeden, Peter , Rubinov, Alex**Date:**2002**Type:**Text , Journal article**Relation:**Mathematische Nachrichten Vol. 243, no. (2002), p. 134-145**Full Text:**false**Reviewed:****Description:**A generalization of the Perron-Frobenius theorem to increasing positively homogeneous of degree one operators is extended to increasing co-radiant and topical operators, which are of interest in mathematical economics. In particular, small attracting sets containing the limit points of all sequences generated by iteration of such operators are determined.**Description:**C1**Description:**2003000150

Hadamard type inequality for quasiconvex functions in higher dimensions

**Authors:**Rubinov, Alex , Dutta, J.**Date:**2002**Type:**Text , Journal article**Relation:**Journal of Mathematical Analysis and Applications Vol. 270, no. 1 (2002), p. 80-91**Full Text:**false**Reviewed:****Description:**In this article we study a Hadamard type inequality for nonnegative evenly quasiconvex functions. The approach of our study is based on the notion of abstract convexity. We also provide an explicit calculation to evaluate the asymptotically sharp constant associated with the inequality over a unit square in the two-dimensional plane. © 2002 Elsevier Science (USA). All rights reserved.**Description:**2003000149

Teaching with CAS in a time of transition

- Kendal, Margaret, Stacey, Kaye, Pierce, Robyn

**Authors:**Kendal, Margaret , Stacey, Kaye , Pierce, Robyn**Date:**2002**Type:**Text , Journal article**Relation:**International Journal of Computer Algebra in Mathematics Education Vol. 9, no. 2 (2002), p. 113-128**Full Text:****Reviewed:****Description:**Integrating a powerful instrument such as CAS into teaching and learning mathematics requires changes to many aspects of the classroom, which teachers will make from the base of their prior teaching styles and their beliefs about mathematics and how it should be taught. The paper describes the different ways in which two pioneering Australian teachers adapted their teaching to use CAS. One teacher used CAS with the primary goal of increasing understanding but restricted students’ use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasising timesaving routines by hand and with CAS. Through these case studies we comment on the following issues related to teaching with CAS: different ways of organising the classroom, variety in approaches to teaching the use of CAS, the increased range of methods for solving problems and for teaching, the contrast between using of graphics calculators and CAS, the challenge of finding the place of by-hand skills and CAS use, and the curriculum and assessment changes required in schools.**Description:**C1**Description:**2003000120

**Authors:**Kendal, Margaret , Stacey, Kaye , Pierce, Robyn**Date:**2002**Type:**Text , Journal article**Relation:**International Journal of Computer Algebra in Mathematics Education Vol. 9, no. 2 (2002), p. 113-128**Full Text:****Reviewed:****Description:**Integrating a powerful instrument such as CAS into teaching and learning mathematics requires changes to many aspects of the classroom, which teachers will make from the base of their prior teaching styles and their beliefs about mathematics and how it should be taught. The paper describes the different ways in which two pioneering Australian teachers adapted their teaching to use CAS. One teacher used CAS with the primary goal of increasing understanding but restricted students’ use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasising timesaving routines by hand and with CAS. Through these case studies we comment on the following issues related to teaching with CAS: different ways of organising the classroom, variety in approaches to teaching the use of CAS, the increased range of methods for solving problems and for teaching, the contrast between using of graphics calculators and CAS, the challenge of finding the place of by-hand skills and CAS use, and the curriculum and assessment changes required in schools.**Description:**C1**Description:**2003000120

**Authors:**Mammadov, Musa**Date:**2003**Type:**Text , Journal article**Relation:**Abstract and Applied Analysis Vol. 2003, no. 11 (2003), p. 631-650**Full Text:**false**Reviewed:****Description:**We study the turnpike property for the nonconvex optimal control problems described by the differential inclusion x˙∈a(x). We study the infinite horizon problem of maximizing the functional ∫0Tu(x(t))dt as T grows to infinity. The turnpike theorem is proved for the case when a turnpike set consists of several optimal stationary points.**Description:**C1**Description:**2003000343

Cardinalities of locally compact groups and their Stone-Čech compactifications

- Itzkowitz, Gerald, Morris, Sidney, Tkachuk, Vladimir

**Authors:**Itzkowitz, Gerald , Morris, Sidney , Tkachuk, Vladimir**Date:**2003**Type:**Text , Journal article**Relation:**Bulletin of the Australian Mathematical Society Vol. 67, no. 3 (2003), p. 353-364**Full Text:**false**Reviewed:****Description:**If G is any Hausdorff topological group and**Description:**C1**Description:**2003000377

Continuous subdifferential approximations and their applications

**Authors:**Bagirov, Adil**Date:**2003**Type:**Text , Journal article**Relation:**Journal of Mathematical Sciences Vol. 115, no. 5 (2003), p. 2567-2609**Full Text:**false**Reviewed:****Description:**In this paper, we study continuous approximations to the Clarke subdifferential and the Demyanov– Rubinov quasidifferential. Different methods have been proposed and discussed for the construction of the continuous approximations. Numerical methods for minimization of the locally Lipschitzian functions which are based on the continuous approximations are described and their convergence is studied. To test the proposed methods, numerical experiments have been carried out and discussed in the paper.**Description:**C1**Description:**2003000423

Lagrange-type functions in constrained optimization

- Rubinov, Alex, Yang, Xiao, Bagirov, Adil, Gasimov, Rafail

**Authors:**Rubinov, Alex , Yang, Xiao , Bagirov, Adil , Gasimov, Rafail**Date:**2003**Type:**Text , Journal article**Relation:**Journal of Mathematical Sciences Vol. 115, no. 4 (2003), p. 2437-2505**Full Text:**false**Reviewed:****Description:**We examine various kinds of nonlinear Lagrange-type functions for constrained optimization problems. In particular, we study the weak duality, the zero duality gap property, and the existence of an exact parameter for these functions. The paper contains a detailed survey of results in these directions and comparison of different methods proposed by different authors. Some new results are also given.**Description:**C1**Description:**2003000358

Maximal monotonicity, conjugation and the duality product

- Burachik, Regina, Svaiter, B.F.

**Authors:**Burachik, Regina , Svaiter, B.F.**Date:**2003**Type:**Text , Journal article**Relation:**Proceedings of the American Mathematical Society Vol. 131, no. 8 (2003), p. 2379-2383**Full Text:**false**Reviewed:****Description:**Recently, the authors studied the connection between each maximal monotone operator T and a family H(T) of convex functions. Each member of this family characterizes the operator and satisfies two particular inequalities. The aim of this paper is to establish the converse of the latter fact. Namely, that every convex function satisfying those two particular inequalities is associated to a unique maximal monotone operator.**Description:**C1**Description:**2003002558

On Fréchet subdifferentials

**Authors:**Kruger, Alexander**Date:**2003**Type:**Text , Journal article**Relation:**Journal of Mathematical Sciences Vol. 116, no. 3 (2003), p. 3325-3358**Full Text:****Reviewed:****Description:**2003002852

**Authors:**Kruger, Alexander**Date:**2003**Type:**Text , Journal article**Relation:**Journal of Mathematical Sciences Vol. 116, no. 3 (2003), p. 3325-3358**Full Text:****Reviewed:****Description:**2003002852

Projective limits of finite-dimensional Lie groups

- Hofmann, Karl, Morris, Sidney

**Authors:**Hofmann, Karl , Morris, Sidney**Date:**2003**Type:**Text , Journal article**Relation:**Proceedings of the London Mathematical Society Vol. 87, no. 3 (Nov 2003), p. 647-676**Full Text:**false**Reviewed:****Description:**For a topological group G we define N to be the set of all normal subgroups modulo which G is a finite-dimensional Lie group. Call G a pro-Lie group if, firstly, G is complete, secondly, N is a filter basis, and thirdly, every identity neighborhood of G contains some member of N. It is easy to see that every pro-Lie group G is a projective limit of the projective system of all quotients of G modulo subgroups from N. The converse implication emerges as a difficult proposition, but it is shown here that any projective limit of finite-dimensional Lie groups is a pro-Lie group. It is also shown that a closed subgroup of a pro-Lie group is a pro-Lie group, and that for any closed normal subgroup N of a pro-Lie group G, for any one parameter subgroup Y : R G/N there is a one parameter subgroup X : R G such that X(t) N = Y(t) for any real number t. The category of all pro-Lie groups and continuous group homomorphisms between them is closed under the formation of all limits in the category of topological groups and the Lie algebra functor on the category of pro-Lie groups preserves all limits and quotients.**Description:**C1**Description:**2003000376

Twisted sums with C(K) spaces

- Cabello Sanchez, Felix, Castillo, Jesus, Kalton, Nigel, Yost, David

**Authors:**Cabello Sanchez, Felix , Castillo, Jesus , Kalton, Nigel , Yost, David**Date:**2003**Type:**Text , Journal article**Relation:**Transactions of the American Mathematical Society Vol. 355, no. (2003), p. 4523-4541**Full Text:****Reviewed:****Description:**If X is a separable Banach space, we consider the existence of non-trivial twisted sums 0 -->**Description:**C1**Description:**2003002201

**Authors:**Cabello Sanchez, Felix , Castillo, Jesus , Kalton, Nigel , Yost, David**Date:**2003**Type:**Text , Journal article**Relation:**Transactions of the American Mathematical Society Vol. 355, no. (2003), p. 4523-4541**Full Text:****Reviewed:****Description:**If X is a separable Banach space, we consider the existence of non-trivial twisted sums 0 -->**Description:**C1**Description:**2003002201

Undergraduate mathematics curricula - A new approach

- Giri, Jason, Pierce, Robyn, Turville, Christopher

**Authors:**Giri, Jason , Pierce, Robyn , Turville, Christopher**Date:**2003**Type:**Text , Journal article**Relation:**New Zealand Journal of Mathematics Vol. 32 , no. Supplementary Issue (2003), p. 155-162**Full Text:**false**Reviewed:****Description:**C1**Description:**2003000363

Hermite-Hadamard-type inequalities for increasing convex-along-rays function

- Rubinov, Alex, Dragomir, S. S, Dutta, J.

**Authors:**Rubinov, Alex , Dragomir, S. S , Dutta, J.**Date:**2004**Type:**Text , Journal article**Relation:**Analysis Vol. 24, no. 2 (2004), p. 171-181**Full Text:**false**Reviewed:****Description:**C1**Description:**2003000933

On d-antimagic labelings of prisms

- Lin, Yuqing, Slamin,, Baca, Martin, Miller, Mirka

**Authors:**Lin, Yuqing , Slamin, , Baca, Martin , Miller, Mirka**Date:**2004**Type:**Text , Journal article**Relation:**Ars Combinatoria: A Canadian Journal of Combinatorics Vol. 72, no. (2004), p. 65-76**Full Text:**false**Reviewed:****Description:**C1**Description:**2003000907

On non-polynomiality of XOR over Zn2

- Grosek, Otokar, Miller, Mirka, Ryan, Joe

**Authors:**Grosek, Otokar , Miller, Mirka , Ryan, Joe**Date:**2004**Type:**Text , Journal article**Relation:**Tatra Mountains Mathematical Publications Vol. 29, no. (2004), p. 183-191**Full Text:**false**Reviewed:****Description:**C1**Description:**2003000905

Statistical cluster points of sequences in finite dimensional spaces

- Pehlivan, Serpil, Guncan, A., Mammadov, Musa

**Authors:**Pehlivan, Serpil , Guncan, A. , Mammadov, Musa**Date:**2004**Type:**Text , Journal article**Relation:**Czechoslovak Mathematical Journal Vol. 54, no. 1 (2004), p. 95-102**Full Text:**false**Reviewed:****Description:**In this paper we study the set of statistical cluster points of sequences in m-dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in m-dimensional spaces too. We also define a notion of T-statistical convergence. A sequence x is**Description:**C1**Description:**2003000896

The exponential function of locally connected compact Abelian groups

- Hofmann, Karl, Morris, Sidney, Poguntke, D.

**Authors:**Hofmann, Karl , Morris, Sidney , Poguntke, D.**Date:**2004**Type:**Text , Journal article**Relation:**Forum Mathematicum Vol. 16, no. 1 (2004), p. 1-16**Full Text:**false**Reviewed:****Description:**It is shown that the following four conditions are equivalent for a compact connected abelian group G :(i)the exponential function of G is open onto its image;(ii)G has arbitrarily small connected direct summands N such that G =N is a .nite dimensional torus;(iii)the arc component G[suba] of the identity is locally arcwise connected;(iv)the character group G G is a torsion free group in which every .nite rank pure subgroup is free and is a direct summand.**Description:**C1**Description:**2003000909

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