Phase Transition of Mixed Type p-Adic λ-Ising Model on Cayley Tree

Dogan, Mutlay

doi:10.1134/s2070046618040040

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Broadly speaking, blended teaching is the mixed use of multiple learning theories and teaching modes to optimize teaching effects. In a narrow sense, blended teaching is a combination of online learning and classroom face-to-face teaching [20,21]. In order to meet the requirements of different learning theories, different learning methods, and different learning environments and learning resources, a variety of learning theories are needed to guide mixed teaching.…”

Section: Blended Teachingmentioning

confidence: 99%

Teaching of College English Writing from the Perspective of Multimedia Education

Cao

2022

Wireless Communications and Mobile Computing

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The rapid development of science and technology, the rapid updating of computer technology, the constant networking, and computerisation of society are ushering in a new era in which computer technology and various media are used to process and disseminate information. Multimedia technology has also been mentioned and developed in the field of education. Its intervention has had a significant impact on education, leading to a renewed conception of educators, educational methods, and forms of learning. This paper is based on educational theory, educational planning theory, and educational psychology theory, starting from the combination of network multimedia and college English writing instruction through detailed demand analysis and system design, fully using modern information technology to build a multimedia network learning platform of blended college English writing instruction. This paper examines the application of multimedia technology in blended learning college English writing. Based on the reading and collecting of a large number of materials, it combines the long-term experience of teaching practice, the concept of multimedia, characteristics, application status, and development trends of multimedia technology; in-depth analysis of the current situation and problems faced by blended learning English writing in college summarizes the application of multimedia curriculum in teaching practice and feedback on the use of multimedia curriculum in teaching English writing in college. The experiments showed that the P value of students’ attitude toward English writing and multimedia teaching method is less than 0.05, which showed that the multimedia teaching method could improve students’ self-discovery ability and enhance the learning effect; the repetition of multimedia teaching material conforms to the memory rules and effectively helps students to remember what they learn repeatedly.

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Section: Blended Teachingmentioning

confidence: 99%

Teaching of College English Writing from the Perspective of Multimedia Education

Cao

2022

Wireless Communications and Mobile Computing

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“…By its turn, p-adic numbers (simply put, the decomposition of an integer as a power series of a prime p, see next sections) are very useful technical tools in different areas of physics as quantum mechanics [15,16], quantum logic [17], gravity [18], and string theory [19]. Further, they have been employed in the study of stochastic and complex systems, like in self-organized criticality (SOC) [20], phase transitions in Ising [21,22] and Potts [23][24][25][26] models, as well as in Gibbs measures [21,27,28], Markov processes [29], and diffusion in random media [30]. For a complete review on p-adics usages see, e.g.…”

Section: Introductionmentioning

confidence: 99%

Stochastic-like characteristics of arithmetic dynamical systems: the Collatz hailstone sequences

Polli,

Raposo,

Viswanathan

et al. 2024

J. Phys. Complex.

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The numerical hailstone sequences, or orbits, generated by the Collatzmap have been disclosed to present relevant features commonly associated with complex systems. It is so despite the extreme simplicity of the arithmetic dynamical system iteration rule. Indeed, for a positive integer n, the Collatz map f reads f(n) = n/2 ( f(n) = 3n + 1) for n even (odd). Seeking to elucidate this surprising fact, here we unveil distinct characteristics of stochastic-like behavior for collections of Collatz orbits by considering methods commonly employed to temporal series, as cryptography tests, power-spectrum, detrended ﬂuctuation, auto-correlation and entropy measure. Besides conﬁrming previous predictions that the Collatz orbits display some global properties of geometric Brownian motion, our results are likewise able to explain, at least heuristically, the reasons for so. In special, we show by means of comprehensive analysis that our ﬁndings cannot be ascribed to standard chaotic evolution. Moreover, we identify novel short- and mid-range correlations in the Collatz orbits. The Collatz map is hence a paradigmatic example of an arithmetic dynamical systemwhich could also be regarded as an arithmetic statistical physics system, explaining its dynamical richness.

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On Dynamical Behavior of the p-adic λ-Ising Model on Cayley Tree

Dogan¹

2019

Z. mat. fiz. anal. geom.

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Phase Transition of Mixed Type p-Adic λ-Ising Model on Cayley Tree

Cited by 3 publications

References 18 publications

Teaching of College English Writing from the Perspective of Multimedia Education

Teaching of College English Writing from the Perspective of Multimedia Education

Stochastic-like characteristics of arithmetic dynamical systems: the Collatz hailstone sequences

On Dynamical Behavior of the p-adic λ-Ising Model on Cayley Tree

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