We study protected nodes in m-ary search trees, by putting them in context of generalised Pólya urns. We show that the number of two-protected nodes (the nodes that are neither leaves nor parents of leaves) in a random ternary search tree is asymptotically normal. The methods apply in principle to m-ary search trees with larger m as well, although the size of the matrices used in the calculatio...

In this work, we develop a ternary diagram approach for visualizing the progression of disease outbreak. Based on cumulative epidemic statistics, fraction patients classified as active cases (A), recovered (R), and deceased (D) at any given time is plotted diagram. The location point gives relative proportions in these three categories. trajectory over provides an alternative scale-free indicat...

We introduce ternary wavelets, based on an interpolating 4-point C ternary stationary subdivision scheme, for compressing fractal-like signals. These wavelets are tightly squeezed and therefore they are more suitable for compressing fractal-like signals. The error in compressing fractal-like signals by ternary wavelets is at most half of that given by four-point wavelets (Wei and Chen, 2002). H...

The article aims to reveal the principles of urban space organisation in Viktor Marti­novich’s novel “Mova”. Due fact that is based on a linguistic problem (the author defines genre as “linguistic thriller”), representation city subject models and principles. main these isomorphism part whole. structural generality different levels technique inversion. There movement value poles within system o...

Fractional factorial split-plot designs are widely used when it is impractical to perform fractional experiments in a completely random order. When there too many subplots per whole plot, or few plots, with replicated settings of the plot factors preferred. However, such an important study undeveloped literature. This paper considers WP from viewpoint clear effects. We investigate sufficient an...

In some experiments, the levels of factors are difficult to change; then fractional factorial split-plot (FFSP) designs suitable for selection. an FFSP design, divided into two classes—the whole plot (WP) and subplot (SP) factors. selection WP can affect that SP factors, which attracts much attention Paying more a new optimality criterion selecting such is proposed. The robustness proposed meth...

The application of COS/MOS integrated circuits in the construction of a three-valued positional control system is presented. A unit-distance ternary code and the design of a ternary encoder are given. A ternary code converter able to translate this unit-distance code to the signed ternary code is described. A ternary threshold level detector is required to convert a noisy, slowly-changing, anal...

This paper proposes an optical method to perform a balanced ternary vector-matrix multiplication. Inspired by ternary optical computer‘s ability to process ternary information, we study techniques to realize ternary vector-matrix multiplication (VMM) based on the work of manipulating binary VMM computation. The principle and specific working flow is described in detail and the correctness of th...

In this paper, we use the Walsh Hadamard transform (WHT) as a fundamental tool for analysis of some properties of generalized ternary functions. Some existing binary results obtained for cryptographic functions are generalized to the ternary case, and hence obtain some new characterization of ternary functions based on their spectral analysis. The WHT of ternary functions is expressed in terms ...

In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of the lower part of (∈,∈∨q)-fuzzy left ...