• Title/Summary/Keyword: Periodic sequences

Search Result 32, Processing Time 0.025 seconds

ON THE LAST DIGIT AND THE LAST NON-ZERO DIGIT OF nn IN BASE b

  • Grau, Jose Maria;Oller-Marcen, Antonio M.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.51 no.5
    • /
    • pp.1325-1337
    • /
    • 2014
  • In this paper we study the sequences defined by the last and the last non-zero digits of $n^n$ in base b. For the sequence given by the last digits of $n^n$ in base b, we prove its periodicity using different techniques than those used by W. Sierpinski and R. Hampel. In the case of the sequence given by the last non-zero digits of $n^n$ in base b (which had been studied only for b = 10) we show the non-periodicity of the sequence when b is an odd prime power and when it is even and square-free. We also show that if $b=2^2{^s}$ the sequence is periodic and conjecture that this is the only such case.

New framework for adaptive and agile honeypots

  • Dowling, Seamus;Schukat, Michael;Barrett, Enda
    • ETRI Journal
    • /
    • v.42 no.6
    • /
    • pp.965-975
    • /
    • 2020
  • This paper proposes a new framework for the development and deployment of honeypots for evolving malware threats. As new technological concepts appear and evolve, attack surfaces are exploited. Internet of things significantly increases the attack surface available to malware developers. Previously independent devices are becoming accessible through new hardware and software attack vectors, and the existing taxonomies governing the development and deployment of honeypots are inadequate for evolving malicious programs and their variants. Malware-propagation and compromise methods are highly automated and repetitious. These automated and repetitive characteristics can be exploited by using embedded reinforcement learning within a honeypot. A honeypot for automated and repetitive malware (HARM) can be adaptive so that the best responses may be learnt during its interaction with attack sequences. HARM deployments can be agile through periodic policy evaluation to optimize redeployment. The necessary enhancements for adaptive, agile honeypots require a new development and deployment framework.

Phase Distribution and Interface Chemistry by Solid State SiC/Ni Reaction

  • Lim, Chang-Sung;Shim, Kwang-Bo;Shin, Dong-Woo;Auh, Keun-Ho
    • The Korean Journal of Ceramics
    • /
    • v.2 no.1
    • /
    • pp.19-24
    • /
    • 1996
  • The phase distribution and interface chemistry by the solid-state reaction between SiC and nickel were studied at temperatures between $550 \;and\; 1250^{\circ}C$ for 0.5-100 h. The reaction with the formation of silicides and carbon was first observed above $650^{\circ}C$. At $750^{\circ}C$, as the reaction proceeded, the initially, formed $Ni_3Si_2$ layer was converted to $Ni_2$Si. The thin nickel film reacted completely with SiC after annealing at $950^{\circ}C$ for 2 h. The thermodynamically stable $Ni_2$Si is the only obsrved silicide in the reaction zone up to $1050^{\circ}C$. The formation of $Ni_2$Si layers with carbon precipitates alternated periodically with the carbon free layers. At temperatures between $950^{\circ}C$ and $1050^{\circ}C$, the typical layer sequences in the reaction zone is determined by quantitative microanalysis to be $SiC/Ni_2$$Si+C/Ni_2$$Si/Ni_2$$Si+C/…Ni_2$Si/Ni(Si)/Ni. The mechanism of the periodic band structure formation with the carbon precipitation behaviour was discussed in terms of reaction kinetics and thermodynamic considerations. The reaction kinetics is proposed to estimate the effective reaction constant from the parabolic growth of the reaction zone.

  • PDF

A Study on the hydrological generation of streamflow - A study on the Range determination of reservoir - (하천유량의 수문학적 모의기술에 관한 연구(I) - 저수지의 Range 결정에 관한 연구)

  • Choe, Han-Gyu;Choe, Yeong-Park;Kim, Chi-Hong
    • Water for future
    • /
    • v.15 no.2
    • /
    • pp.33-39
    • /
    • 1982
  • For the determination of a reservoir capacity Rippl's mass-curve method has long been used with the past river flow data assuming the same flow records will be repeated in the future. In this study the synthetic generation methods of thomas-Fiering type and harmonic analysis were used to synthetically generate 50 years of monthly river inflows to three single-purpose reservoris(Chuncheon, Chungpyong, Hwacheon) and three multi-purpose reservoirs(Soyany, Andon, Daichung). The generated sequences of monthly flows were analyzed based on the range concept, and hence the so-determined ranges for single-prupose and multi-purpose rewervoirs were correlated with the number of monthly flow subseries, resulting an empirical equation of the Feller's type. (1) Single-purpose reservoir $$R_n=2.8357 I\sqrt{n}$$ (2) Multi-purpose reservoir $$R_n=2.5145 I\sqrt{n}$$ where, $R_n$:Range(㎥/S-M) n:periodic(12 months, ……120 months) I:Input mean(㎥/S-M) In Korea, the monthly inflow data generation will be fit to the Thomas-Fiering type, and this paper shows that the periodic range is easily calculated without the Rippl's mass-curve method as shown above formula.

  • PDF

Beam Tracking Technique for Communication with Multiple Unmanned Aircraft Vehicles(UAVs) (다중 무인 항공기 통신을 위한 빔 추적 기법)

  • Maeng, Sung Joon;Park, Haein;Cho, Yong-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.41 no.11
    • /
    • pp.1539-1548
    • /
    • 2016
  • Beamforming technique at the ground station is known to be effective in obtaining coverage extension or SNR gain for communication with unmanned aerial vehicle (UAV). When a UAV moves, periodic beam tracking is necessary to maintain beam gain. In order to track beams for multiple UAVs, the ground station needs to receive different preamble sequences from multiple UAVs. In this paper, a preamble sequence design technique is proposed for beam tracking in a GMSK-based communication system with multiple UAVs. Hadamard sequence is considered for the design of preamble sequence due to its ideal cross-correlation property. A preamble sequence appropriate for a GMSK communication system with multiple UAVs is proposed after analyzing the properties of received signal in a GMSK system with the input of Hadamard sequence.

A Study on Improving the Correlation Characteristics of a Ternary Sequence (삼치 시퀀스의 상관함수 특성 개선 연군)

  • 권성재
    • Proceedings of the Korea Society of Information Technology Applications Conference
    • /
    • 2002.11a
    • /
    • pp.407-411
    • /
    • 2002
  • Ternary sequences are digital codes consisting of discrete values -1, 0, and 1 only. They are advantageous in that the correlation can be carried out using additions only. Also, they feature an ideal circular autocorrelation function, but in channel characterization tasks, the usual requirement is that the linear autocorrelation function be ideal, i.e., a Kronecker delta function. In this article, we consider two approaches to improving their linear autocorrelation or crosscorrelation properties: one is an inverse filtering method with thresholding, and the other is a singular value decomposition (SVD) method. Both methods are simulated under noisy circumstances. The inverse filtering method resulted in an improvement in peak sidelobe level of about 11 dB at an SNR of 30 dB, and the SVD method showed similar performances, albeit more sensitive to noise depending on the singular value selection strategy.

  • PDF

A Study on Improving the Correlation Characteristics of a Ternary Sequence (삼치 시퀀스의 상관함수 특성 개선 연구)

  • 권성재
    • Proceedings of the Korea Society for Industrial Systems Conference
    • /
    • 2002.11a
    • /
    • pp.407-411
    • /
    • 2002
  • Ternary sequences are digital codes consisting of discrete values -1, 0, and 1 only. They are advantageous in that the correlation can be carried out using additions only Also, they feature an ideal circular autocorrelation function, but in channel characterization tasks, the usual requirement is that the linear autocorrelation function be ideal, i.e., a Kronecker delta function. In this article, we consider two approaches to improving their linear autocorrelation or crosscorrelation properties: one is an inverse filtering method with theresholding and the other is a singular value decomposition (SVD) method. Both methods are simulated under noisy circumstances. The inverse filtering method resulted in an improvement in peak sidelobe level of about 1㏈ at an SNR of 30㏈, and the SVD method showed similar performances, albeit more sensitive to noise depending on the singular value selection strategy.

  • PDF

ON A THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS WITH VARIABLE COEFFICIENTS

  • KARA, MERVE;YAZLIK, YASIN;TOUAFEK, NOURESSADAT;AKROUR, YOUSSOUF
    • Journal of applied mathematics & informatics
    • /
    • v.39 no.3_4
    • /
    • pp.381-403
    • /
    • 2021
  • Consider the three-dimensional system of difference equations $x_{n+1}=\frac{{\prod_{j=0}^{k}}z_n-3j}{{\prod_{j=1}^{k}}x_n-(3j-1)\;\(a_n+b_n{\prod_{j=0}^{k}}z_n-3j\)}$, $y_{n+1}=\frac{{\prod_{j=0}^{k}}x_n-3j}{{\prod_{j=1}^{k}}y_n-(3j-1)\;\(c_n+d_n{\prod_{j=0}^{k}}x_n-3j\)}$, $z_{n+1}=\frac{{\prod_{j=0}^{k}}y_n-3j}{{\prod_{j=1}^{k}}z_n-(3j-1)\;\(e_n+f_n{\prod_{j=0}^{k}}y_n-3j\)}$, n ∈ ℕ0, where k ∈ ℕ0, the sequences $(a_n)_{n{\in}{\mathbb{N}}_0$, $(b_n)_{n{\in}{\mathbb{N}}_0$, $(c_n)_{n{\in}{\mathbb{N}}_0$, $(d_n)_{n{\in}{\mathbb{N}}_0$, $(e_n)_{n{\in}{\mathbb{N}}_0$, $(f_n)_{n{\in}{\mathbb{N}}_0$ and the initial values x-3k, x-3k+1, …, x0, y-3k, y-3k+1, …, y0, z-3k, z-3k+1, …, z0 are real numbers. In this work, we give explicit formulas for the well defined solutions of the above system. Also, the forbidden set of solution of the system is found. For the constant case, a result on the existence of periodic solutions is provided and the asymptotic behavior of the solutions is investigated in detail.

Interpretation of Firing Temperature and Material Characteristics of the Potteries Excavated from the Nongseori Site in Giheung, Korea (기흥 농서리유적 출토 토기의 재료과학적 특성과 소성온도 해석)

  • Gim, Ran-Hui;Lee, Sun-Myeong;Jang, So-Young;Lee, Chan-Hee
    • Journal of Conservation Science
    • /
    • v.25 no.3
    • /
    • pp.255-271
    • /
    • 2009
  • This study was examined interpretation of making techniques and provenance interpretation of raw materials for the potteries from the Nongseori site in Giheung based on archaeometric characteristics. The potteries are classified into three groups according to the archaeological age. The texture of Neolithic age potteries is sandy soil added a lot of temper such as talc and mica, and Bronze age potteries contain sandy materials which occur naturally include quartz, orthoclase, plagioclase and mica. On the other hand, Proto-three Kingdom Age potteries made of silty soil that sift out coarse minerals from the clay. But all pottery and soil samples in the study were very similar patterns with geochemical evolution trend. This result is sufficient evidence that all pottery samples were produced using the same raw materials from the host rocks around of the site area. The Neolithic age potteries had loose texture and fired probably about 700 to $760^{\circ}C$. The Bronze age potteries had experienced firing about 850 to $900^{\circ}C$. And Proto-three Kingdom Age potteries had compact textured and fired from 900 to $1,050^{\circ}C$. The making techniques of potteries are not represented discontinuation characteristics about the periodic time sequences, and are suggested that revealed a transitional change patterns for production techniques.

  • PDF

Detection and genetic analysis of zoonotic hepatitis E virus, rotavirus, and sapovirus in pigs

  • Lyoo, Eu Lim;Park, Byung-Joo;Ahn, Hee-Seop;Han, Sang-Hoon;Go, Hyeon-Jeong;Kim, Dong-Hwi;Lee, Joong-Bok;Park, Seung-Yong;Song, Chang-Seon;Lee, Sang-Won;Choi, In-Soo
    • Korean Journal of Veterinary Research
    • /
    • v.60 no.2
    • /
    • pp.61-68
    • /
    • 2020
  • The zoonotic transmission of viral diseases to humans is a serious public health concern. Pigs are frequently a major reservoir for several zoonotic viral diseases. Therefore, periodic surveillance is needed to determine the infection rates of zoonotic diseases in domestic pigs. Hepatitis E virus (HEV), rotavirus, sapovirus (SaV), and norovirus (NoV) are potential zoonotic viruses. In this study, 296 fecal samples were collected from weaned piglets and growing pigs in 13 swine farms, and the viral RNA was extracted. Partial viral genomes were amplified by reverse transcription-polymerase chain reaction (PCR) or nested-PCR using virus-specific primer sets under different PCR conditions. HEV-3, rotavirus A, and SaV genogoup 3 were detected from 11.5, 2.7, and 3.0% of the samples, respectively. On the other hand, NoV was not detected in any of the samples. Genetic analysis indicated that the nucleotide sequences of swine HEV-3 and rotavirus A detected in this study were closely related to those of human isolates. However, swine SaV was distant from the human strains. These results suggest that HEV-3 and rotavirus A can be transmitted from pigs to humans. Therefore, strict preventive measures should be implemented by workers in the swine industry to prevent infections with HEV-3 and rotavirus A excreted from pigs.