Mathematica Slovaca

Items from 1 to 20 out of 603 results

article

Boolean transformations with unique fixed points

Sergiu Rudeanu

Mathematica Slovaca > 2007 > 57 > 1 > 1-10

We determine the Boolean transformations F: B ⁿ → B ⁿ which have unique fixed points.

article

Point sets with low L _p-discrepancy

Peter Kritzer, Friedrich Pillichshammer

Mathematica Slovaca > 2007 > 57 > 1 > 11-32

In this paper we study the L _p-discrepancy of digitally shifted Hammersley point sets. While it is known that the (unshifted) Hammersley point set (which is also known as Roth net) with N points has L _p-discrepancy (p an integer) of order (log N)/N, we show that there always exists a shift such that the digitally shifted Hammersley point set has L _p-discrepancy (p an even integer) of order ...

article

MSE of the best linear predictor in nonorthogonal models

František Štulajter

Mathematica Slovaca > 2007 > 57 > 1 > 83-92

The problem of computing the mean squared error (MSE) of the best linear predictor (BLP) in finite discrete spectrum with an additive white noise models(FDSWNMs) for an observed time series is considered. This is done under the assumption that the corresponding vectors in models for finite observation of this time series are not orthogonal.

article

(Cyclic) subgroup separability of HNN and split extensions

Firat Ateş, A. Sinan Çevik

Mathematica Slovaca > 2007 > 57 > 1 > 33-40

This work has been divided in two parts. In the first part we give a sufficient conditions on an HNN extension of a free group to be cyclic subgroup seperable. In the second part we define just subgroup separability on a split extension of special groups which is actually on holomorph.

article

Statistical maps: A categorical approach

Roman Frič

Mathematica Slovaca > 2007 > 57 > 1 > 41-58

In probability theory, each random variable f can be viewed as channel through which the probability p of the original probability space is transported to the distribution p _f, a probability measure on the real Borel sets. In the realm of fuzzy probability theory, fuzzy probability measures (equivalently states) are transported via statistical maps (equivalently, fuzzy random variables, operational...

article

Problems of an additional experiment

Lubomír Kubáček

Mathematica Slovaca > 2007 > 57 > 1 > 59-82

In some situations estimates of unknown parameters must be corrected by additional measurements. It is in principle no problem to calculate the corrected estimates, however, it is of more interest to find formulae for correction itself. The formulae enable us to design an additional experiment and to judge its usefulness. The aim of the paper is to find such formulae for several situations.

article

Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation

R. N. Rath, N. Misra, L. N. Padhy

Mathematica Slovaca > 2007 > 57 > 2 > 157-170

In this paper, necessary and sufficient conditions for the oscillation and asymptotic behaviour of solutions of the second order neutral delay differential equation (NDDE) $$\left[ {r(t)(y(t) - p(t)y(t - \tau ))'} \right]^\prime + q(t)G(y(h(t))) = 0$$ are obtained, where q, h ∈ C([0, ∞), ℝ) such that q(t) ≥ 0, r ∈ C ⁽¹⁾ ([0, ∞), (0, ∞)), p ∈ C ([0, ∞), ℝ), G ∈ C (ℝ, ℝ) and τ ∈ ℝ⁺. Since the...

article

Vector valued paranormed statistically convergent double sequence spaces

Binod Chandra Tripathy, Bipul Sarma

Mathematica Slovaca > 2007 > 57 > 2 > 179-188

In this article we introduce the vector valued paranormed sequence spaces $${}_2\overline c (q,p), {}_2\overline c _0 (q,p), ({}_2\overline c )^B (q,p), ({}_2\overline c _0 )^B (q,p), ({}_2\overline c )^R (q,p)$$ and $$({}_2\overline c _0 )^R (q,p)$$ defined over a seminormed space (X,q). We study their different properties like completeness, solidness, symmetry, convergence freeness etc...

article

The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

Peter Somora

Mathematica Slovaca > 2007 > 57 > 2 > 141-156

We consider a second order nonlinear differential equation with homogeneous Dirichlet boundary conditions. Using the root functions method we prove a relation between the number of zeros of some variational solutions and the number of solutions of our boundary value problem which follows into a lower bound of the number of its solutions.

article

On BF-algebras

Andrzej Walendziak

Mathematica Slovaca > 2007 > 57 > 2 > 119-128

In this paper we introduce the notion of BF-algebras, which is a generalization of B-algebras. We also introduce the notions of an ideal and a normal ideal in BF-algebras. We investigate the properties and characterizations of them.

article

On a class of difference sequences related to the ℓ^p space defined by Orlicz functions

Binod Chandra Tripathy, Sabita Mahanta

Mathematica Slovaca > 2007 > 57 > 2 > 171-178

In this article we introduce the difference sequence space m(M, Δ, φ) using the Orlicz function. We study its different properties like solidity, completeness etc. Also we obtain some inclusion relations involving the space m(M, Δ, φ).

article

Quasi-uniform completions of partially ordered spaces

David Buhagiar, Tanja Telenta

Mathematica Slovaca > 2007 > 57 > 2 > 189-200

In this paper we define partially ordered quasi-uniform spaces (X, $$\mathfrak{U}$$ , ≤) (PO-quasi-uniform spaces) as those space with a biconvex quasi-uniformity $$\mathfrak{U}$$ on the poset (X, ≤) and give a construction of a (transitive) biconvex compatible quasi-uniformity on a partially ordered topological space when its topology satisfies certain natural conditions. We also show...

article

Isometries and direct decompositions of pseudo MV-algebras

Milan Jasem

Mathematica Slovaca > 2007 > 57 > 2 > 107-118

In the paper isometries in pseudo MV-algebras are investigated. It is shown that for every isometry f in a pseudo MV-algebra $$\mathcal{A}$$ = (A, ⊕, ⁻, ^∼, 0, 1) there exists an internal direct decomposition $$\mathcal{A} = \mathcal{B}^0 \times \mathcal{C}^0 $$ of $$\mathcal{A}$$ with $$\mathcal{C}^0 $$ commutative such that $$f(0) = 1_{C^0 } $$ and $$f(x) = x_{B^0...

article

Companion d-algebras

P. J. Allen, Hee Sik Kim, J. Neggers

Mathematica Slovaca > 2007 > 57 > 2 > 93-106

In this paper we develop a theory of companion d-algebras in sufficient detail to demonstrate considerable parallelism with the theory of BCK-algebras as well as obtaining a collection of results of a novel type. Included among the latter are results on certain natural posets associated with companion d-algebras as well as constructions on Bin(X), the collection of binary operations on the set X,...

article

Separating points of measures on effect algebras

Anna Avallone

Mathematica Slovaca > 2007 > 57 > 2 > 129-140

We prove the existence of separating points for every countable family of nonatomic σ-additive modular measures on a σ-complete lattice ordered effect algebra.

article

Multivariate regression model with constraints

Lubomír Kubáček

Mathematica Slovaca > 2007 > 57 > 3 > 271-296

The aim of the paper is to present explicit formulae for parameter estimators and confidence regions in multivariate regression model with different kind of constraints and to give some comments to it. The covariance matrix of observation is either totally known, or some unknown parameters of it must be estimated, or the covariance matrix is totally unknown.

article

Some results on ℚ-groups

M. R. Darafsheh, H. Sharifi

Mathematica Slovaca > 2007 > 57 > 3 > 219-224

A finite group G whose irreducible characters are rational valued is called a ℚ-group. In this paper we will be concerned with the structure of a finite ℚ-group that contains a strongly embedded subgroup and the structure of a finite ℚ-group satisfying the property that none of its sections is isomorphic to $$\mathbb{S}_4 $$ .

article

On direct limit classes of algebras

Emília Halušková

Mathematica Slovaca > 2007 > 57 > 3 > 211-218

We investigate classes of algebras which can be obtained by a direct limit construction from an algebra. We generalize some results from monounary algebras.

article

A note on exponent of convergence of zeros of entire functions

B. K. Lahiri, Dibyendu Banerjee

Mathematica Slovaca > 2007 > 57 > 3 > 297-299

If f(z) is an entire function with ρ ₁ > 0 as its exponent of convergence of zeros and if 0 ≤ α < ρ ₁, then we prove the existence of entire functions each having α as its exponent of convergence of zeros.

article

Oscillation and stability of nonlinear discrete models exhibiting the Allee effect

E. M. Elabbasy, S. H. Saker, H. El-Metwally

Mathematica Slovaca > 2007 > 57 > 3 > 243-258

In this paper, we consider the discrete nonlinear delay population model exhibiting the Allee effect (*) $$x_{n + 1} = x_n \exp \left( {a + bx_{n - \tau }^p - cx_{n - \tau }^q } \right),$$ where a, b and c are constants and p, q and τ are positive integers. First, we study the local stability of the equilibrium points. Next, we establish some oscillation results of nonlinear delay difference...

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Keywords

OSCILLATION (19)
MV-ALGEBRA (14)
LATTICE ORDERED GROUP (13)
IDEAL (12)
EFFECT ALGEBRA (11)
BOOLEAN ALGEBRA (8)
FIXED POINT (7)
PSEUDO MV-ALGEBRA (7)
VIETORIS TOPOLOGY (7)
ATOM (6)
COMPLETENESS (6)
MONOUNARY ALGEBRA (6)
NON-OSCILLATION (6)
ORLICZ FUNCTION (6)
SOLID SPACE (6)
MV-ALGEBRA (5)
ANALYTIC FUNCTION (5)
BANACH SPACE (5)
BOUNDARY VALUE PROBLEM (5)
CLASS NUMBER (5)
CRITICAL POINT (5)
DERIVATION (5)
FILTER (5)
ISOMETRY (5)
MODULUS OF CONTINUITY (5)
ORTHOMODULAR LATTICE (5)
PROBABILISTIC NORMED SPACE (5)
RADICAL CLASS (5)
RETRACT (5)
STATE (5)
TIME SCALES (5)
ASYMPTOTIC DENSITY (4)
BASIC ALGEBRA (4)
CONGRUENCE (4)
LATTICE-ORDERED GROUP (4)
MEROMORPHIC FUNCTION (4)
MULTIFUNCTION SPACE (4)
QUANTUM LOGIC (4)
RESIDUATED LATTICE (4)
STATISTICAL CONVERGENCE (4)
SYMMETRIC SPACE (4)
VARIETY (4)
D-POSET OF FUZZY SETS (3)
GMV-ALGEBRA (3)
I-CONVERGENCE (3)
AMALGAMATION (3)
ASYMPTOTIC BEHAVIOUR (3)
BAIRE SPACE (3)
BERNOULLI NUMBERS (3)
CIRCULANT MATRIX (3)
CONE ALGEBRA (3)
CONVOLUTION (3)
D-LATTICE (3)
D-POSET (3)
DARBOUX FUNCTION (3)
DEDUCTIVE SYSTEM (3)
DENSITY POINT (3)
DENSITY TOPOLOGY (3)
DERIVATIVE (3)
DIFFERENCE SEQUENCE (3)
DIFFERENCE SEQUENCE SPACE (3)
DUALITY (3)
EXISTENCE (3)
FIXED POINT THEOREM (3)
GENERALIZED DERIVATION (3)
GENERALIZED MV-ALGEBRA (3)
GENERALIZED SECOND-ORDER DIRECTIONAL DERIVATIVE (3)
HADAMARD PRODUCT (3)
HYPERGEOMETRIC FUNCTIONS (3)
INEQUALITY (3)
INTRA-REGULAR (3)
LOCALLY COMPACT GROUP (3)
LOWER SEMICONTINUOUS SET-VALUED MAP (3)
NONOSCILLATORY SOLUTION (3)
NORMAL BASIS (3)
ORDER (3)
ORDER-UNIT SPACE (3)
ORDERED SEMIGROUP (3)
PARTIALLY ORDERED SET (3)
POSITIVE SOLUTION (3)
POSITIVE SOLUTIONS (3)
PROJECTION (3)
RECURRENCE RELATION (3)
REGULARITY (3)
RELATIVELY UNIFORM CONVERGENCE (3)
SAKS-HENSTOCK LEMMA (3)
SEMINORM (3)
STABILITY (3)
STEINER TRIPLE SYSTEM (3)
STIEFEL-WHITNEY CLASS (3)
SUBMEASURE (3)
TORSION CLASS (3)
UNIQUENESS (3)
VARIATIONAL MEASURE (3)
VON NEUMANN ALGEBRA (3)
WEAK RELATIVELY UNIFORM CONVERGENCE (3)
ℓ-GROUP (3)
ℓ-STABLE FUNCTION (2)
A-STATISTICAL CONVERGENCE (2)
B-ALGEBRA (2)
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INFONA - science communication portal

Mathematica Slovaca

Boolean transformations with unique fixed points

Point sets with low L _p-discrepancy

MSE of the best linear predictor in nonorthogonal models

(Cyclic) subgroup separability of HNN and split extensions

Statistical maps: A categorical approach

Problems of an additional experiment

Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation

Vector valued paranormed statistically convergent double sequence spaces

The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

On BF-algebras

On a class of difference sequences related to the ℓ^p space defined by Orlicz functions

Quasi-uniform completions of partially ordered spaces

Isometries and direct decompositions of pseudo MV-algebras

Companion d-algebras

Separating points of measures on effect algebras

Multivariate regression model with constraints

Some results on ℚ-groups

On direct limit classes of algebras

A note on exponent of convergence of zeros of entire functions

Oscillation and stability of nonlinear discrete models exhibiting the Allee effect

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