• 제목/요약/키워드: Q+

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CONVOLUTION PROPERTIES FOR ANALYTIC FUNCTIONS DEFINED BY q-DIFFERENCE OPERATOR

  • Cetinkaya, Asena;Sen, Arzu Yemisci;Polatoglu, Yasar
    • 호남수학학술지
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    • 제40권4호
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    • pp.681-689
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    • 2018
  • In this paper, we defined new subclasses of Spirallike and Robertson functions by using concept of q-derivative operator. We investigate convolution properties and coefficient estimates for both classes q-Spirallike and q-Robertson functions denoted by ${\mathcal{S}}^{\lambda}_q[A,\;B]$ and ${\mathcal{C}}^{\lambda}_q[A,\;B]$, respectively.

SOME RELATIONSHIPS BETWEEN (p, q)-EULER POLYNOMIAL OF THE SECOND KIND AND (p, q)-OTHERS POLYNOMIALS

  • KANG, JUNG YOOG;AGARWAL, R.P.
    • Journal of applied mathematics & informatics
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    • 제37권3_4호
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    • pp.219-234
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    • 2019
  • We use the definition of Euler polynomials of the second kind with (p, q)-numbers to identify some identities and properties of these polynomials. We also investigate some relationships between (p, q)-Euler polynomials of the second kind, (p, q)-Bernoulli polynomials, and (p, q)-tangent polynomials by using the properties of (p, q)-exponential function.

IDENTITIES INVOLVING q-ANALOGUE OF MODIFIED TANGENT POLYNOMIALS

  • JUNG, N.S.;RYOO, C.S.
    • Journal of applied mathematics & informatics
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    • 제39권5_6호
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    • pp.643-654
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    • 2021
  • In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

NEW THEOREM ON SYMMETRIC FUNCTIONS AND THEIR APPLICATIONS ON SOME (p, q)-NUMBERS

  • SABA, N.;BOUSSAYOUD, A.
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.243-257
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    • 2022
  • In this paper, we present and prove an new theorem on symmetric functions. By using this theorem, we derive some new generating functions of the products of (p, q)-Fibonacci numbers, (p, q)-Lucas numbers, (p, q)-Pell numbers, (p, q)-Pell Lucas numbers, (p, q)-Jacobsthal numbers and (p, q)-Jacobsthal Lucas numbers with Chebyshev polynomials of the first kind.

매크로 행동을 이용한 내시 Q-학습의 성능 향상 기법 (A Performance Improvement Technique for Nash Q-learning using Macro-Actions)

  • 성연식;조경은;엄기현
    • 한국멀티미디어학회논문지
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    • 제11권3호
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    • pp.353-363
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    • 2008
  • 단일 에이전트 환경에서는 Q-학습의 학습 시간을 줄이기 위해서 학습결과를 전파시키거나 일렬의 행동을 패턴으로 만들어 학습한다. 다중 에이전트 환경에서는 동적인 환경과 다수의 에이전트 상태를 고려해야하기 때문에 학습에 필요한 시간이 단일 에이전트 환경보다 길어지게 된다. 이 논문에서는 단일 에이전트 환경에서 시간 단축을 위해서 유한개의 행동으로 정책을 만들어 학습하는 매크로 행동을 다중 에이전트 환경에 적합한 내시 Q-학습에 적용함으로써 다중 에이전트 환경에서 Q-학습 시간을 줄이고 성능을 높이는 방법을 제안한다. 실험에서는 다중 에이전트 환경에서 매크로 행동을 이용한 에이전트와 기본 행동만 이용한 에이전트의 내시 Q-학습 성능을 비교했다. 이 실험에서 네 개의 매크로 행동을 이용한 에이전트가 목표를 수행할 성공률이 기본 행동만 이용한 에이전트 보다 9.46% 높은 결과를 얻을 수 있었다. 매크로 행동은 기본 행동만을 이용해서 적합한 이동 행동을 찾아도 매크로 행동을 이용한 더 낳은 방법을 찾기 때문에 더 많은 Q-값의 변화가 발생되었고 전체 Q-값 합이 2.6배 높은 수치를 보였다. 마지막으로 매크로 행동을 이용한 에이전트는 약 절반의 행동 선택으로도 시작위치에서 목표위치까지 이동함을 보였다. 결국 에이전트는 다중 에이전트 환경에서 매크로 행동을 사용함으로써 성능을 향상시키고 목표위치까지 이동하는 거리를 단축해서 학습 속도를 향상시킨다.

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한국산(韓國産) 참나무과(科) 수종(樹種) 도관구조(道管構造)에 관(關)한 연구(硏究)(II) -도관벽(導管壁)의 수식구조(修飾構造)- (A Study on the Vessel Structure of Fagaceae Species in Korea (II) -Micromorphology of Vessel Wall Sculpture-)

  • 이성재;이원용
    • Journal of Forest and Environmental Science
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    • 제8권1호
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    • pp.51-66
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    • 1992
  • This study was carried out to investigate the micromorphology of vessel wall sculpture such as shape of perforation plate, perforation rim, steepness of perforation plate, occurrence of vestured pit, warty layer and ray-vessel pitting on 13 species of Fagaceae in Korea. The results were summarized as follows ; 1. In the species examined, all sample species except Fagus crenata var. multinervis have simple perforation plate. But Fagus crenata var. multinervis has simple and scalariform perforation plate (it was called to combination perforation plate) in a tree stem. 2. The shapes of perforation rim could be classified into five types; Type A without tail, Type B with small tail on both sides, Type C with long tail on both sides, Type D with tail only one side and Type E with the very short interval between perforations. Among five types, Type Band C have higer frequency of distribution than the others. 3. The steepness of perforation plate measured was about 20 degree on pore zone and 43 degree on outside parts of pore zone. 4. Species with vestured pit were Q. aliena, Q, dentata, Q. variabilis, Fagus crenata var. multinervis, Castanopsis cuspidata var sieboldii, Q. acuta, Q. stenophylla, and Q. glauca. But the extent of vesturing was very slight and vestured pits were observed mainly in ray-vessel pit of some vessel elements. 5. Species with warty layer on the inner surface wall of all vessel elements were Q. acuta, Q. stenophylla, Q. glauca, Fagus crenata var. multinervis and species with warty layer of some vessel elements were Q. aliena, Q, dentata, Q. variabilis, Castanopsis cuspidata var. sieboldii. 6. Species with palisade ray-vessel pit were Q. acuta, Q. stenophylla, Q. glauca, Castanea crenata, Castanea bungeana, Q. aliena, Q. serrata, Q. mongolica, and species with scalariform ray-vessel pit was Fagus crenata var. multinervis and species with oval ray-vessel pit were Q, dentata, Castanopsis cuspidata var sieboldii.

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A consideration on the one dimensional q-wavelet

  • Watanabe, Takashi;Tanaka, Masaru;Mishima, Taketoshi
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -1
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    • pp.393-396
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    • 2002
  • In this paper, we give the definitions of the q-Haar and q-Gabor wavelet. Instead of using the conventional Gaussian distribution as a kernel of the Gabor wavelet, if the q-normal distribution is used, we can get the q-Gabor wavelet as a possible generalization of the Gabor wavelet. The q-normal distribution, which is given by the author, is one of the generalized Gaussian distribution. On the other hand, if two sets of the q-normal distribution are connected anti-symmetrically, we can get the q-Haar wavelet as a possible generalization of the Haiw wavelet. We give experiments on the q-eabor and q-Haar wavelet and discuss about the q-Gabor and q-Haar wavelet.

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AN ACTION OF A GALOIS GROUP ON A TENSOR PRODUCT

  • Hwang, Yoon-Sung
    • 대한수학회논문집
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    • 제20권4호
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    • pp.645-648
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    • 2005
  • Let K be a Galois extension of a field F with G = Gal(K/F). Let L be an extension of F such that $K\;{\otimes}_F\;L\;=\; N_1\;{\oplus}N_2\;{\oplus}{\cdots}{\oplus}N_k$ with corresponding primitive idempotents $e_1,\;e_2,{\cdots},e_k$, where Ni's are fields. Then G acts on $\{e_1,\;e_2,{\cdots},e_k\}$ transitively and $Gal(N_1/K)\;{\cong}\;\{\sigma\;{\in}\;G\;/\;{\sigma}(e_1)\;=\;e_1\}$. And, let R be a commutative F-algebra, and let P be a prime ideal of R. Let T = $K\;{\otimes}_F\;R$, and suppose there are only finitely many prime ideals $Q_1,\;Q_2,{\cdots},Q_k$ of T with $Q_i\;{\cap}\;R\;=\;P$. Then G acts transitively on $\{Q_1,\;Q_2,{\cdots},Q_k\},\;and\;Gal(qf(T/Q_1)/qf(R/P))\;{\cong}\;\{\sigma{\in}\;G/\;{\sigma}-(Q_1)\;=\;Q_1\}$ where qf($T/Q_1$) is the quotient field of $T/Q_1$.

Opposite 필터를 적용한 가변 Q 디지털 그래픽 이퀄라이저 (A Variable-Q Digital Graphic Equalizer with Opposite Filters)

  • 이용희;김인철;조국춘
    • 대한전자공학회논문지SP
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    • 제41권4호
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    • pp.131-139
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    • 2004
  • 본 논문에서는 opposite 필터를 적용한 가변 Q 디지털 그래픽 이퀄라이저를 제안한다. 그리고 제안한 이퀄라이저를 설계하는 방법을 제시한다. 본 논문에서 제안하는 가변 Q 이퀄라이저에서는 이퀄라이저의 성능을 개선하기 위해서 이득에 따라 이퀄라이저 필터의 Q-factor를 조정한다. 또한, opposite 필터의 Q-factor를 이득이 높아짐에 따라 완만하게 증가하도록 설정함으로써 opposite 필터가 대역간 간섭을 효과적으로 제거할 수 있게 한다. 실험을 통해 제안한 opposite 필터를 적용한 가변 Q 이퀄라이저는 사용자가 설정한 이득을 매우 충실하게 표현함을 보이겠다.

SOME GROWTH ASPECTS OF COMPOSITE P-ADIC ENTIRE FUNCTIONS IN THE LIGHT OF THEIR (p, q)-TH RELATIVE ORDER AND (p, q)-TH RELATIVE TYPE

  • Biswas, Tanmay
    • 충청수학회지
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    • 제31권4호
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    • pp.429-460
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    • 2018
  • Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and ${\mathcal{A}}({\mathbb{K}})$ be the ${\mathbb{K}}-algebra$ of entire functions on ${\mathbb{K}}$. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of p adic entire functions where p and q are any two positive integers and then study some growth properties of composite p adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type. After that we show that (p, q) th relative order and (p, q)-th relative type are remain unchanged for derivatives under some certain conditions.