In the present paper we prove direct approximation theorems for discrete type operators (Lnf)(x) = ∞ ∑ k=0 un,k(x)λn,k(f), f ∈ C[0,∞), x ∈ [0,∞) using a modified K−functional. As applications we give direct theorems for Baskakov type operators, Szász-Mirakjan type operators and Lupaş operator.

‎Several modifications of the Laplace distribution have been introduced and applied in various fields up to this day‎. ‎In this paper‎,  ‎we introduce a modified symmetric version of the classical Laplace distribution‎.  ‎We provide a comprehensive theoretical description of this distribution‎. ‎In particular‎, ‎we derive the formulas for th...

In this paper, the K-means algorithm for data clustering is improved by the swarm-based nature-inspired optimisation algorithm, the intelligent water drops (IWD) algorithm. The K-means algorithm is an iterative algorithm in which the number of clusters is given in advance. Although the K-means is fast to converge, it is sensitive to the initial conditions. As a result, it is often trapped in lo...

We consider real-time planning problems in which some states are unsolvable, i.e., have no path to a goal. Such problems are difficult for real-time planning algorithms such as RTA* in which all states must be solvable. We identify a property called k-safeness, in which the consequences of a bad choice become apparent within k moves after the choice is made. When k is not too large, this makes ...

We propose a new variant of the bit-parallel NFA of Baeza-Yates and Navarro (BPD) for approximate string matching [1]. Given a length-m pattern and an error threshold k, the original BPD uses (m−k)(k +2) bits of space. We decrease this to (m− k)(k +1), and also give a slightly more efficient simulation algorithm for the NFA. In experiments our modified NFA is often noticeably more efficient tha...

Clustering is an important part of data mining. It can immensely simplify data complexity and helps discover the underlying patterns and knowledge from massive quantities data points. The popular efficient clustering algorithm k -means has been widely used in many fields. However, The k -means method also suffers from several drawbacks. It selects the initial cluster centers randomly that great...

in journal: 1. Bálványos, I., László, I., Vida, K., Hank, H., Kursinszki, L., Tóth, E., Sz ke, É.(2001): Effect of magnesium on the genetically modified Atropa belladonna cultures. Magnesium Research 14, 309-310. IF: 0,689 2. Hank H., Bálványos I., Kursinszki L., Tóth E., Sz ke É. (2003): A táptalaj összetételének hatása transzgénikus Atropa belladonna kultúrák alkaloid produkciójára. Gyógyszer...

Sorption-desorption of two different hydrophobic fungicides, penconazole and metalaxyl, by a series of clay minerals layered and non-layered (montmorillonite, illite, kaolinite, muscovite, sepiolite and palygorskite) modified with the two-chain cationic surfactant, dihexadecyldimetylammonium (DHDDMA) was studied by first time in this work. DHDDMA-clays showed a good capacity to sorb both fungic...

In the coming years, the frequency of unauthorised genetically modified organisms (GMOs) being present in the European food and feed chain will increase significantly. Therefore, we have developed a strategy to identify unauthorised GMOs containing a pCAMBIA family vector, frequently present in transgenic plants. This integrated approach is performed in two successive steps on Bt rice grains. F...