A square is the concatenation of a nonempty word with itself. A word has period p if its letters at distance pmatch. The exponent of a nonempty word is the quotient of its length over its smallest period. In this article we give a proof of the fact that there exists an infinite binary word which contains finitely many squares and simultaneously avoids words of exponent larger than 7/3. Our infi...

A square is the concatenation of a nonempty word with itself. A word has period p if its letters at distance pmatch. The exponent of a nonempty word is the quotient of its length over its smallest period. In this article we give a proof of the fact that there exists an infinite binary word which contains finitely many squares and simultaneously avoids words of exponent larger than 7/3. Our infi...

A simple method for maintaining balance in ternary search tries is presented. The new kind of self-balancing ternary search trie, called an r-trie, generalizes the balancing strategy of Aragon and Seidel’s randomized binary search trees (treaps). This means that an r-trie is shaped like a ternary search trie built by inserting the strings in random order. As a result, the time cost of searching...

In this paper, we have developed an algebraic theory, suitable for the analysis of fuzzy systems. We have used the notions of semiring and semimodule, introduced the notion of semilinear space and gave numerous examples of them and defined also the notions of linear dependence and independence. Then, we have shown that the composition operation, which plays an essential role in the analysis of ...

In the year 1971, W. G. Lister [14] introduced the notion of ternary ring. Later in the year 2014, J. R. Castillo and Jocelyn S. ParaderoVilela [2] introduced the notion of krasner ternary hyperring. In [6] we introduce the notion of multiplicative ternary hyperring. In this paper we study prime hyperideals in a multiplicative ternary hyperring. We obtain some Characterizations of prime hyperid...

Tujuan dari pendidikan kewirausahaan untuk anak usia dini yakni menjadikan peserta didik menjadi orang yang pandai, kreatif dan inovatif sekaligus memiliki jiwa pemberani, suka menerima tantangan, berani mengambil resiko tidak mudah pesimis. Penelitian dilakukan di PAUD TPQ Rochmatul Ummah Purwosari Kudus. Responden dalam penelitian ini adalah ada Kudus dengan tujuan memberikan inovasi kepada s...

We study various complexity properties of suffix-free regular languages. The quotient complexity of a regular language L is the number of left quotients of L; this is the same as the state complexity of L, which is the number of states in a minimal deterministic finite automaton (DFA) accepting L. A regular language L′ is a dialect of a regular language L if it differs only slightly from L (for...

density, viscosity and refractive index of pure, binary and ternary mixtures of diethanolamine (dea) and methyl diethanolamine (mdea) with water have been measured at different temperatures from 288.15 k to 323.15 k at atmospheric pressure. also, this study presents the effects of mixture composition and temperature upon these thermo- physical properties. to measure the density and refractive i...

We study partially hyperbolic diffeomorphisms satisfying a trapping property which makes them look as if they were Anosov at large scale. We show that, as expected, they share several properties with Anosov diffeomorphisms. We construct an expansive quotient of the dynamics and study some dynamical consequences related to this quotient.

the effect of magnetic field on the liquid-liquid equilibrium of two ternary systems (water + acetic acid + butyl acetate and water + acetic acid + dimethyl succinate) at 298.15 k under atmospheric pressure was investigated. the results obtained show that the strength of the magnetic field (0.02 t) affects the solubility of acetic acid in the used organic solvents. distribution coefficients and...