• 제목/요약/키워드: $B_q$

검색결과 1,806건 처리시간 0.425초

ON CHARACTERIZING THE GAMMA AND THE BETA q-DISTRIBUTIONS

  • Boutouria, Imen;Bouzida, Imed;Masmoudi, Afif
    • 대한수학회보
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    • 제55권5호
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    • pp.1563-1575
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    • 2018
  • In this paper, our central focus is upon gamma and beta q-distributions from a probabilistic viewpoint. The gamma and the beta q-distributions are characterized by investing the nature of the joint q-probability density function through the q-independence property and the q-Laplace transform.

nth-order q-derivatives of Srivastava's General Triple q-hypergeometric Series with Respect to Parameters

  • Sahai, Vivek;Verma, Ashish
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.911-925
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    • 2016
  • We obtain q-derivatives of Srivastava's general triple q-hypergeometric series with respect to its parameters. The particular cases leading to results for three Srivastava's triple q-hypergeometric series $H_{A,q}$, $H_{B,q}$ and $H_{C,q}$ are also considered.

Ant-Q 학습을 이용한 Gale-Shapley 문제 해결에 관한 연구 (Solving the Gale-Shapley Problem by Ant-Q learning)

  • 김현;정태충
    • 정보처리학회논문지B
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    • 제18B권3호
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    • pp.165-172
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    • 2011
  • 본 논문에서는 생물학의 개미들이 학습을 통해 목표를 획득하는 방법을 응용한 Ant-Q 알고리즘(Ant Q learning System)[1]을 Gale-Shapley[2]알고리즘을 통해 제시되었던 안정된 결혼문제(SMP: Stable Marriage Problem)[3]의 새로운 해법을 찾기 위해 적용 하였다. SMP는 남성($m_i$)들과 여성($w_j$)들은 각자 자신이 좋아하는 이상형에 대한 선호도(PL: preference list)를 바탕으로 안정이면서도 최선의 짝을 찾는 것을 목표로 하고 있다. Gale-Shapley 알고리즘은 남성(혹은 여성) 위주로 안정적(stability)인 짝(Matching)을 성사시키므로 다양한 조건을 수용하지 못한다. 본 논문에 적용된 Ant-Q는 개미(Ant)의 페로몬을 활용한 학습인 ACS(Ant colony system)에 강화학습의 일종인 Q-학습[9]을 추가한 방법으로, SMP의 새로운 해법을 찾을 수 있었다.

Development of Quantitative Real-Time PCR Primers for Detection of Prevotella intermedia

  • Park, Soon-Nang;Kook, Joong-Ki
    • International Journal of Oral Biology
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    • 제40권4호
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    • pp.205-210
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    • 2015
  • Prevotella intermedia-specific quantitative real-time PCR (qPCR) primers were previously designed based on the nucleotide sequences of RNA polymerase ${\beta}$-subunit gene (rpoB). However, the several clinical strains isolated from Korean populations are not detectable by the qPCR primers. The purpose of this study was to develop new P. intermedia-specific qPCR primers based on the rpoB. The specificity of the primers was determined by conventional PCR with 12 strains of P. intermedia and 52 strains (52 species) of non-P. intermedia bacteria. The sensitivity of primers was determined by qPCR with serial dilutions of the purified genomic DNAs (40 ng to 4 fg) of P. intermedia ATCC $25611^T$. The data indicated that only P. intermedia strains were detected by the P intermedia-specific qPCR primers (RTPiF2/RTPiR2); in addition, as little as 40 fg of P. intermedia genomic DNA could be detected. These results suggest that these qPCR primers are useful in detecting P. intermedia from the bacterial infectious lesions including dental plaque and oral tissue lesions.

Protective effects and mechanism of coenzyme Q10 and vitamin C on doxorubicin-induced gastric mucosal injury and effects of intestinal flora

  • Zhao, Xiaomeng;Feng, Xueke;Ye, Nan;Wei, Panpan;Zhang, Zhanwei;Lu, Wenyu
    • The Korean Journal of Physiology and Pharmacology
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    • 제25권4호
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    • pp.261-272
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    • 2021
  • Doxorubicin (Dox) is widely used to the treatment of cancer, however, it could cause damage to gastric mucosa. To investigate the protective effects and related mechanisms of coenzyme Q10 (CoQ10) and vitamin C (VC) on Dox-induced gastric mucosal injury, we presented the survey of the 4 groups of the rats with different conditions. The results showed Dox treatment significantly induced GES-1 apoptosis, but preconditioning in GES-1 cells with VC or CoQ10 significantly inhibited the Dox-induced decrease and other harm effects, including the expression and of IκKβ, IκBα, NF-κB/p65 and tumor necrosis factor (TNF-α) in GES-1 cells. Moreover, high-throughput sequencing results showed Dox treatment increased the number of harmful gut microbes, and CoQ10 and VC treatment inhibited this effect. CoQ10 and VC treatment inhibits Dox-induced gastric mucosal injury by inhibiting the activation of the IkKB/IκBα/NF-κB/p65/TNF-α pathway, promoting anti-inflammatory effects of gastric tissue and regulating the composition of the intestinal flora.

IDEALS IN THE UPPER TRIANGULAR OPERATOR ALGEBRA ALG𝓛

  • Lee, Sang Ki;Kang, Joo Ho
    • 호남수학학술지
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    • 제39권1호
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    • pp.93-100
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    • 2017
  • Let $\mathcal{H}$ be an infinite dimensional separable Hilbert space with a fixed orthonormal base $\{e_1,e_2,{\cdots}\}$. Let $\mathcal{L}$ be the subspace lattice generated by the subspaces $\{[e_1],[e_1,e_2],[e_1,e_2,e_3],{\cdots}\}$ and let $Alg{\mathcal{L}}$ be the algebra of bounded operators which leave invariant all projections in $\mathcal{L}$. Let p and q be natural numbers($p{\leqslant}q$). Let $\mathcal{B}_{p,q}=\{T{\in}Alg\mathcal{L}{\mid}T_{(p,q)}=0\}$. Let $\mathcal{A}$ be a linear manifold in $Alg{\mathcal{L}}$ such that $\{0\}{\varsubsetneq}{\mathcal{A}}{\subset}{\mathcal{B}}_{p,q}$. If $\mathcal{A}$ is an ideal in $Alg{\mathcal{L}}$, then $T_{(i,j)}=0$, $p{\leqslant}i{\leqslant}q$ and $i{\leqslant}j{\leqslant}q$ for all T in $\mathcal{A}$.

HOMOMORPHISMS BETWEEN POISSON BANACH ALGEBRAS AND POISSON BRACKETS

  • PARK, CHUN-GIL;WEE, HEE-JUNG
    • 호남수학학술지
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    • 제26권1호
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    • pp.61-75
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    • 2004
  • It is shown that every almost linear mapping $h:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ of a unital Poisson Banach algebra ${\mathcal{A}}$ to a unital Poisson Banach algebra ${\mathcal{B}}$ is a Poisson algebra homomorphism when h(xy) = h(x)h(y) holds for all $x,y{\in}\;{\mathcal{A}}$, and that every almost linear almost multiplicative mapping $h:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is a Poisson algebra homomorphism when h(qx) = qh(x) for all $x\;{\in}\;{\mathcal{A}}$. Here the number q is in the functional equation given in the almost linear almost multiplicative mapping. We prove that every almost Poisson bracket $B:{\mathcal{A}}\;{\times}\;{\mathcal{A}}\;{\rightarrow}\;{\mathcal{A}}$ on a Banach algebra ${\mathcal{A}}$ is a Poisson bracket when B(qx, z) = B(x, qz) = qB(x, z) for all $x,z{\in}\;{\mathcal{A}}$. Here the number q is in the functional equation given in the almost Poisson bracket.

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선형과 비선형 Muskingum-Cunge법에 의한 유출곡선의 특성 비교 (Comparison of Characteristics of Outflow Hydrograph Using the Linear and Nonlinear Muskingum-Cunge Methods)

  • 김진수;김진홍
    • 한국수자원학회논문집
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    • 제32권4호
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    • pp.417-426
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    • 1999
  • 횡유입이 없는 경우(sign곡선의 홍수파 유입)와 횡유입이 있는 경우(강우 유입)를 대상으로 선형과 비선형 Muskingum-Cunge법에 의한 단위폭 사면에서의 유출수문곡선의 특성을 비교·고찰하였다. 유출곡선은 선형법에서는 확산효과에 의해서 거의 대칭적으로 확산되나, 비선형법에서는 비선형효과와 확산효과의 상호작용을 의하여 상승부는 급하게 되고, 하강부는 완만하게 된다. 선형법은 유입된 질량을 정확히 보존하나, 비선형법은 질량의 증가나 손실을 초래한다. 비선형법에서 기저유량이 작고 유량변화의 비가 큰 경우, 완경사에서는 파형의 감쇠와 질량의 감소를 가져오나, 급경사에서는 kinematic shock의 생성과 함께 질량의 증가를 가져온다. 같은 특성을 갖는 사면의 경우, 유출곡선의 전파속도와 파형의 변화는 선형법에서는 단위폭당 기준유량에 좌우되나, 비선형법에서는 기저유량 및 유량 변화의 비(= 첨두유량/기저유량)에 좌우된다. 횡유입(강우)이 있는 비선형법의 경우 횡유입이 없는 경우와 마찬가지로, 사면경사가 완만하고 유량변화의 비가 클수록 첨두유량은 작아지고 파형은 확산되나, 질량의 손실은 거의 없다.

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퍼지 클러스터링을 이용한 강화학습의 함수근사 (Function Approximation for Reinforcement Learning using Fuzzy Clustering)

  • 이영아;정경숙;정태충
    • 정보처리학회논문지B
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    • 제10B권6호
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    • pp.587-592
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    • 2003
  • 강화학습을 적용하기에 적합한 많은 실세계의 제어 문제들은 연속적인 상태 또는 행동(continuous states or actions)을 갖는다. 연속 값을 갖는 문제인 경우, 상태공간의 크기가 거대해져서 모든 상태-행동 쌍을 학습하는데 메모리와 시간상의 문제가 있다. 이를 해결하기 위하여 학습된 유사한 상태로부터 새로운 상태에 대한 추측을 하는 함수 근사 방법이 필요하다. 본 논문에서는 1-step Q-learning의 함수 근사를 위하여 퍼지 클러스터링을 기초로 한 Fuzzy Q-Map을 제안한다. Fuzzy Q-Map은 데이터에 대한 각 클러스터의 소속도(membership degree)를 이용하여 유사한 상태들을 군집하고 행동을 선택하고 Q값을 참조했다. 또한 승자(winner)가 되는 퍼지 클러스터의 중심과 Q값은 소속도와 TD(Temporal Difference) 에러를 이용하여 갱신하였다. 본 논문에서 제안한 방법은 마운틴 카 문제에 적용한 결과, 빠른 수렴 결과를 보였다.

Microcystis aeruginosa의 정량을 위한 mcyB 특이 초고속 실시간 유전자 증폭법의 개발 (Development of mcyB-specific Ultra-Rapid Real-time PCR for Quantitative Detection of Microcystis aeruginosa)

  • 정현철;임병철;임수진;김병희;윤병수;이옥민
    • 한국물환경학회지
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    • 제34권1호
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    • pp.46-56
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    • 2018
  • A mcyB-specific Ultra-Rapid quantitative PCR was developed for the quantitative detection of Microcystis aeruginosa, which is often a dominant species in green tide. McyB-specific UR-qPCR was optimized under extremely short times of each step in thermal cycles, based on the specific primers deduced from the mcyB in microcystin synthetase of M. aeruginosa. The M. aeruginosa strain KG07 was used as a standard for quantification, after the microscopic counting and calculation by mcyB-specific UR-qPCR. The water samples from the river water with the Microcystis outbreak were also measured by using both methods. The $1.0{\times}10^8$ molecules of mcyB-specific DNA was recognized inner 4 minutes after beginning of UR-qPCR, while $1.0{\times}10^4$ molecules of mcyB-specific templates was detected inner 7 minutes with quantitative manner. From the range of $1.0{\times}10^2$ to $1.0{\times}10^8$ initial molecules, quantification was well established based on $C_T$ using mcyB-specific UR-qPCR (Regression coefficiency, $R^2=0.9977$). Between the numbers of M. aeruginosa cell counting under microscope and calculated numbers using mcyB-specific UR-qPCR, some differences were often found. The reasons for these differences were discussed; therefore, easy compensation method was proposed that was dependent on the numbers of the cell counting. Additionally, to easily extract the genomic DNA (gDNA) from the samples, a freeze-fracturing of water-sample using liquid nitrogen was tested, by excluding the conventional gDNA extraction method. It was also verified that there were no significant differences using the UR-qPCR with both gDNAs. In conclusion, the mcyB-specific UR-qPCR that we proposed would be expected to be a useful tool for rapid quantification and easy monitoring of M. aeruginosa in environmental water.