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When evaluating the negative impacts of heavy metals in the environment, plants can be used as biological indicators in assessing damage done by bio-accumulation of heavy metals. For detecting the genotoxic effects of heavy metals, the RAPD-PCR technique is applied in plants. In this study, Blyophyllum daigremontianum was used as a bio-indicator for Cadmium (Cd) pollution. B. daigremontianum plantlets were obtained from bulbiliferous spurs. They were grown singly in standard pots and each of the experimental groups of 5 replicates were watered daily with Hoagland solution (20 ml) containing 0, ...Более
In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.
One of the best methods of waste recycling in the construction sector is to employ it in concrete or mortar preparation. In this study, recycled concrete aggregate and bottom ash were used as aggregates in the mortar. Additionaly, expanded perlite which is a material providing lightness, heat insulation and fire resistance, was also used as aggregate. Calcium aluminate cement was preferred as binder to improve fire resistance. Results were obtained and evaluated in terms of flexural and compressive strength, dry unit weight, water absorption, capillarity, thermal conductivity, thermal resistan ...Более
In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces S-p. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces S-p.
A number of basic properties of R-compact spaces in the category Tych of Tychonoff spaces and their continuous mappings are extended to the category ZUnif of uniform spaces with the special normal bases and their coz-mappings.
Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.
Dağıstan ŞİMŞEK | Peyil Esengul Kızı | Meerim İmaş Kızı
In this paper the solutions of the following difference equation is examined:
x(n+1) = x(n-7)/1 + x(n-3), n = 0, 1, 2, 3, ...
where the initial conditions are positive real numbers.
The Cauchy problem with a rapidly oscillating initial condition for the homogeneous Schrodinger equation was studied in [5]. Continuing the research ideas of this work and [3], in this paper we construct the asymptotic solution to the following mixed problem for the nonstationary Schrodinger equation:
L(h)u ih partial derivative(t)u + h(2)partial derivative(2)(x)u - b(x,t)u = f(x,t) (x,t) is an element of Omega = (0,1) x (0,t],
u vertical bar(t=0) = g(x), u vertical bar(x=0) = u vertical bar(x=1) = 0
where h > 0 is a Planck constant, u = u(x,t,h). b(x,t), f (x,t) is an element of C-infinity ...Более
In this paper, solution of the following difference equation is examined
x(n+1) = x(n-17)/1+x(n-5).x(n-11)
where the initial conditions are positive reel numbers.
The article discusses the matrices of the form A(n)(1), A(n)(m), A(N)(m), whose inverses are: tridiagonal matrix A(n)(-1) (n - dimension of the A(N)(-m) matrix), banded matrix A(n)(-m) (m is the half-width band of the matrix) or block-tridiagonal matrix A(N)(-m) (N = n x m - full dimension of the block matrix; m - the dimension of the blocks) and their relationships with the covariance matrices of measurements with ordinary (simple) Markov Random Processes (MRP), multiconnected MRP and vector MRP, respectively. Such covariance matrices frequently occur in the problems of optimal filtering, ext ...Более
In this work, we apply the method of integral transformation to prove uniqueness theorems for the new class of Fredholm linear integral equations of the first kind in the axis.