• 제목/요약/키워드: additive entropy

검색결과 15건 처리시간 0.021초

ALGEBRAIC ENTROPIES OF NATURAL NUMBERS WITH ONE OR TWO PRIME FACTORS

  • JEONG, SEUNGPIL;KIM, KYONG HOON;KIM, GWANGIL
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제23권3호
    • /
    • pp.205-221
    • /
    • 2016
  • We formulate the additive entropy of a natural number in terms of the additive partition function, and show that its multiplicative entropy is directly related to the multiplicative partition function. We give a practical formula for the multiplicative entropy of natural numbers with two prime factors. We use this formula to analyze the comparative density of additive and multiplicative entropy, prove that this density converges to zero as the number tends to infinity, and empirically observe this asymptotic behavior.

Cryogenic Tensile Behavior of Ferrous Medium-entropy Alloy Additively Manufactured by Laser Powder Bed Fusion

  • Seungyeon Lee;Kyung Tae Kim;Ji-Hun Yu;Hyoung Seop Kim;Jae Wung Bae;Jeong Min Park
    • 한국분말재료학회지
    • /
    • 제31권1호
    • /
    • pp.8-15
    • /
    • 2024
  • The emergence of ferrous-medium entropy alloys (FeMEAs) with excellent tensile properties represents a potential direction for designing alloys based on metastable engineering. In this study, an FeMEA is successfully fabricated using laser powder bed fusion (LPBF), a metal additive manufacturing technology. Tensile tests are conducted on the LPBF-processed FeMEA at room temperature and cryogenic temperatures (77 K). At 77 K, the LPBF-processed FeMEA exhibits high yield strength and excellent ultimate tensile strength through active deformation-induced martensitic transformation. Furthermore, due to the low stability of the face-centered cubic (FCC) phase of the LPBF-processed FeMEA based on nano-scale solute heterogeneity, stress-induced martensitic transformation occurs, accompanied by the appearance of a yield point phenomenon during cryogenic tensile deformation. This study elucidates the origin of the yield point phenomenon and deformation behavior of the FeMEA at 77 K.

중엔트로피 합금 기지 위에 적층조형된 스테인리스강과 타이타늄 합금의 접합특성 분석 (Joint Properties of Stainless Steel and Titanium Alloys Additive Manufactured on Medium Entropy Alloys)

  • 박찬웅;;이민규;김정한
    • 한국분말재료학회지
    • /
    • 제26권4호
    • /
    • pp.319-326
    • /
    • 2019
  • Additive manufacturing (AM) is a highly innovative method for joining dissimilar materials for industrial applications. In the present work, AM of STS630 and Ti-6Al-4V powder alloys on medium entropy alloys (MEAs) NiCrCo and NiCrCoMn is studied. The STS630 and Ti64 powders are deposited on the MEAs. Joint delamination and cracks are observed after the deposition of Ti64 on the MEAs, whereas the deposition of STS630 on the MEAs is successful, without any cracks and joint delamination. The microstructure around the fusion zone interface is characterized by scanning electron microscopy and X-ray diffraction. Intermetallic compounds are formed at the interfacial regions of MEA-Ti64 samples. In addition, Vicker's hardness value increased dramatically at the joint interface between MEAs and Ti-6Al-4V compared to that between MEAs and STS630. This result is attributed to the brittle nature of the joint, which can lead to a decrease in the joint strength.

3D 프린팅으로 제작된 AlCrFeNi 고엔트로피 합금의 분말 입도에 따른 특성 분석 (A Study on Powder Size Dependence of Additive Manufactured AlCrFeNi HEA on Its Microstructure and Mechanical Properties)

  • 최종우;박혜진;강결찬;정민섭;오기태;홍성환;김현길;김기범
    • 한국분말재료학회지
    • /
    • 제29권1호
    • /
    • pp.22-27
    • /
    • 2022
  • Conventionally, metal materials are produced by subtractive manufacturing followed by melting. However, there has been an increasing interest in additive manufacturing, especially metal 3D printing technology, which is relatively inexpensive because of the absence of complicated processing steps. In this study, we focus on the effect of varying powder size on the synthesis quality, and suggest optimum process conditions for the preparation of AlCrFeNi high-entropy alloy powder. The SEM image of the as-fabricated specimens show countless, fine, as-synthesized powders. Furthermore, we have examined the phase and microstructure before and after 3D printing, and found that there are no noticeable changes in the phase or microstructure. However, it was determined that the larger the powder size, the better the Vickers hardness of the material. This study sheds light on the optimization of process conditions in the metal 3D printing field.

선택적 레이저 용융법으로 제조된 CoCrFeMnNi계 고엔트로피합금의 미세조직 및 기계적 물성 연구 동향 (Microstructure and Mechanical Properties of CoCrFeMnNi-type High-entropy Alloy Fabricated by Selective Laser Melting: A Review)

  • 박정민
    • 한국분말재료학회지
    • /
    • 제29권2호
    • /
    • pp.132-151
    • /
    • 2022
  • The CoCrFeMnNi high-entropy alloy (HEA), which is the most widely known HEA with a single face-centered cubic structure, has attracted significant academic attention over the past decade owing to its outstanding multifunctional performance. Recent studies have suggested that CoCrFeMnNi-type HEAs exhibit excellent printability for selective laser melting (SLM) under a wide range of process conditions. Moreover, it has been suggested that SLM can not only provide great topological freedom of design but also exhibit excellent mechanical properties by overcoming the strength-ductility trade-off via producing a hierarchical heterogeneous microstructure. In this regard, the SLM-processed CoCrFeMnNi HEA has been extensively studied to comprehensively understand the mechanisms of microstructural evolution and resulting changes in mechanical properties. In this review, recent studies on CoCrFeMnNi-type HEAs produced using SLM are discussed with respect to process-induced microstructural evolution and the relationship between hierarchical heterogeneous microstructure and mechanical properties.

추진제 성형에 관한 기초연구 (제2보). 우레탄 중합에 미치는 첨가제 효과 (Basic Studies on Propellant Casting (II). Effects of Solid Additives on Urethane Polymerization)

  • 전용구;이익춘;김시준
    • 대한화학회지
    • /
    • 제25권4호
    • /
    • pp.214-218
    • /
    • 1981
  • Solid인 Hexogen 존재하에서 hydroxyl-terminated polybutadiene과 isophorone diisocyanate의 혼성중합반응속도에 관하여 연구하였다. 중합반응속도는 Hexogen의 첨가량이 증가할 수록 빠르게 나타났지만, Hexogen의 촉매적 역할은 없었으며, 오직 entropy control에 의한 반응임을 밝혔다. 이 반응은 2차 반응속도법칙에 잘 일치하며, activation energy는 8.4 Kcal/mole로 거의 일정하다.

  • PDF

위치자료의 종류에 따른 생물종 분포모형 비교 연구 (Comparison of Species Distribution Models According to Location Data)

  • 서창완;박유리;최윤수
    • 대한공간정보학회지
    • /
    • 제16권4호
    • /
    • pp.59-64
    • /
    • 2008
  • 우리나라의 야생동식물 조사가 시간적, 경제적 이유로 주로 출현지역만을 대상으로 하고 있어 종분포모형을 개발할 때 각 모형의 장점을 최대한 이용하는 것이 필요하다. 본 연구는 위치자료의 종류(출현/비출현자료)에 따라 가장 대표적인 출현/비출현모형(presence-absence model)인 GAM(Generalized Additive Model)과 출현모형(presence-only model)인 Maxent(Maximum Entropy Model)를 이용하여 비교 검토하였다. 본 연구의 대상종으로는 캘리포니아의 보호종인 피셔(Martes pennanti)를 선정하고 대상지를 지역에 따라 나누었으며, 서식지환경을 설명하는 지형, 기후, 식생변수들을 이용하여 모형을 적용하였다. 그 결과 첫째, 실제 출현/비출현자료를 사용한 GAM이 임의 비출현자료를 사용한 GAM과 출현자료만을 사용한 Maxent보다 전체적으로 나은 것을 볼 수 있었다. 둘째, 실제 출현자료만을 이용한 모형을 개발할 경우 임의 비출현자료를 이용한 GAM보다 출현자료만을 이용한 Maxent가 더 나은 것을 알 수 있었다. 마지막으로 세부지역에서 개발된 모형(Klamath/Shasta, Sourthern Sierra)은 서로 서식환경이 다를 경우 다른 지역의 서식지를 잘 예측하지 못함을 알 수 있었고, 대상지 외부지역에 대해 과추정하는 경향을 보였다. 위 결과를 바탕으로 위치자료의 종류, 공간적 분포 등을 감안하여 대상지의 환경에 알맞은 모형을 선택하는 것이 바람직할 것으로 판단된다.

  • PDF

Optimization-based Image Watermarking Algorithm Using a Maximum-Likelihood Decoding Scheme in the Complex Wavelet Domain

  • Liu, Jinhua;Rao, Yunbo
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제13권1호
    • /
    • pp.452-472
    • /
    • 2019
  • Most existing wavelet-based multiplicative watermarking methods are affected by geometric attacks to a certain extent. A serious limitation of wavelet-based multiplicative watermarking is its sensitivity to rotation, scaling, and translation. In this study, we propose an image watermarking method by using dual-tree complex wavelet transform with a multi-objective optimization approach. We embed the watermark information into an image region with a high entropy value via a multiplicative strategy. The major contribution of this work is that the trade-off between imperceptibility and robustness is simply solved by using the multi-objective optimization approach, which applies the watermark error probability and an image quality metric to establish a multi-objective optimization function. In this manner, the optimal embedding factor obtained by solving the multi-objective function effectively controls watermark strength. For watermark decoding, we adopt a maximum likelihood decision criterion. Finally, we evaluate the performance of the proposed method by conducting simulations on benchmark test images. Experiment results demonstrate the imperceptibility of the proposed method and its robustness against various attacks, including additive white Gaussian noise, JPEG compression, scaling, rotation, and combined attacks.

신호처리기법을 이용한 구조물의 동특성치 추정 (Estimation of Structural Dynamic Properties Using Signal Processing Techniques)

  • 정태영;김양한
    • 대한조선학회지
    • /
    • 제27권2호
    • /
    • pp.87-95
    • /
    • 1990
  • 본 논문에서는 충격시험에 의해 얻어진 구조물의 과도진동응답 신호로부터 구조물의 동특성치를 구하는 기존방법에 대하여 살펴보고 이들 기존 방법의 단점을 개선할 수 있는 방법으로 최대엔트로피방법(Maximum Entropy Method)과 최소자승 Prony법(Least Square Prony Method)를 도입하여 수치실험을 통한 성능시험을 수행하였다. 그리고 적용예로서 선박의 낙묘시험으로부터 얻은 시계열에 이들을 적용하여 그 결과 FFT법 결과와 비교하였다. 연구결과, 최대엔트로피방법은 구조물의 인접 고유진동수들이 가까이 있고 얻을 수 있는 동적응답 시계열의 data 길이가 짧을 때의 고유진동수 추정에 유용하나 감쇠비 산정에는 유용하지 못함이 밝혀졌다. 또한, 최소자승 Prony법은 과감쇠계의 고유진동수 및 감쇠비 추정에 유용하나 동적응답 시계열에 많은 잡음이 포함되어 있을 경우, 감쇠비 추정성능이 크게 저하되는 것으로 나타났다.

  • PDF

Capacity Bounds in Random Wireless Networks

  • Babaei, Alireza;Agrawal, Prathima;Jabbari, Bijan
    • Journal of Communications and Networks
    • /
    • 제14권1호
    • /
    • pp.1-9
    • /
    • 2012
  • We consider a receiving node, located at the origin, and a Poisson point process (PPP) that models the locations of the desired transmitter as well as the interferers. Interference is known to be non-Gaussian in this scenario. The capacity bounds for additive non-Gaussian channels depend not only on the power of interference (i.e., up to second order statistics) but also on its entropy power which is influenced by higher order statistics as well. Therefore, a complete statistical characterization of interference is required to obtain the capacity bounds. While the statistics of sum of signal and interference is known in closed form, the statistics of interference highly depends on the location of the desired transmitter. In this paper, we show that there is a tradeoff between entropy power of interference on the one hand and signal and interference power on the other hand which have conflicting effects on the channel capacity. We obtain closed form results for the cumulants of the interference, when the desired transmitter node is an arbitrary neighbor of the receiver. We show that to find the cumulants, joint statistics of distances in the PPP will be required which we obtain in closed form. Using the cumulants, we approximate the interference entropy power and obtain bounds on the capacity of the channel between an arbitrary transmitter and the receiver. Our results provide insight and shed light on the capacity of links in a Poisson network. In particular, we show that, in a Poisson network, the closest hop is not necessarily the highest capacity link.