• 대한수학회지
• /
• 제56권5호
• /
• pp.1355-1370
• /
• 2019

A curve $X{\subset}\mathbb{P}^r$ has maximal rank if for each $t{\in}\mathbb{N}$ the restriction map $H^0(\mathcal{O}_{\mathbb{P}r}(t)){\rightarrow}H^0(\mathcal{O}_X(t))$ is either injective or surjective. We show that for all integers $d{\geq}r+1$ there are maximal rank, but not arithmetically Cohen-Macaulay, smooth curves $X{\subset}\mathbb{P}^r$ with degree d and genus roughly $d^2/2r$, contrary to the case r = 3, where it was proved that their genus growths at most like $d^{3/2}$ (A. Dolcetti). Nevertheless there is a sector of large genera g, roughly between $d^2/(2r+2)$ and $d^2/2r$, where we prove the existence of smooth curves (even aCM ones) with degree d and genus g, but the only integral and non-degenerate maximal rank curves with degree d and arithmetic genus g are the aCM ones. For some (d, g, r) with high g we prove the existence of reducible non-degenerate maximal rank and non aCM curves $X{\subset}\mathbb{P}^r$ with degree d and arithmetic genus g, while (d, g, r) is not realized by non-degenerate maximal rank and non aCM integral curves.

• Biomolecules & Therapeutics
• /
• 제27권6호
• /
• pp.514-521
• /
• 2019

G protein-coupled receptors (GPCRs) are membrane receptors whose agonist-induced dynamic conformational changes trigger heterotrimeric G protein activation, followed by GRK-mediated phosphorylation and arrestin-mediated desensitization. Cytosolic regions of GPCRs have been studied extensively because they are direct contact sites with G proteins, GRKs, and arrestins. Among various cytosolic regions, the role of helix 8 is least understood, although a few studies have suggested that it is involved in G protein activation, receptor localization, and/or internalization. In the present study, we investigated the role of helix 8 in dopamine receptor signaling focusing on dopamine D1 receptor (D1R) and dopamine D2 receptor (D2R). D1R couples exclusively to Gs, whereas D2R couples exclusively to Gi. Bioinformatic analysis implied that the sequences of helix 8 may affect GPCR-G protein coupling selectivity; therefore, we evaluated if swapping helix 8 between D1R and D2R changed G protein selectivity. Our results suggest that helix 8 is not involved in D1R-Gs or D2R-Gi coupling selectivity. Instead, we observed that D1R with D2R helix 8 or D1R with an increased number of hydrophobic residues in helix 8 relative to wild-type showed diminished ${\beta}$-arrestin-mediated desensitization, resulting in increased Gs signaling.

• 한국정보과학회논문지:시스템및이론
• /
• 제26권8호
• /
• pp.1009-1023
• /
• 1999

이 논문은 재귀원형군 G(2^m , 2^k ) 그래프 이론적 관점에서 고찰하고 정점이 서로소인 경로에 관한 위상 특성을 제시한다. 재귀원형군은 1 에서 제안된 다중 컴퓨터의 연결망 구조이다. 재귀원형군 {{{{G(2^m , 2^k )의 서로 다른 두 노드 v와 w를 잇는 연결도 kappa(G)개의 서로소인 경로의 길이가 두 노드 사이의 거리d(v,w)나 혹은 G(2^m , 2^k )의 지름 \dia(G)에 비해서 얼마나 늘어나는지를 고려한다. 서로소인 경로를 재귀적으로 설계하는데, 그 길이는 k ge2일 때 d(v,w)+2^k-1과 \dia(G)+2^k-1의 최솟값 이하이고, k=1일 때 d(v,w)+3과 \dia(G)\+2의 최솟값 이하이다. 이 연구는 (2^m , 2^k )의 고장 감내 라우팅, 고장 지름이나 persistence의 분석에 이용할 수 있다.Abstract In this paper, we investigate recursive circulant G(2^m , 2^k ) from the graph theory point of view and present topological properties concerned with node-disjoint paths. Recursive circulant is an interconnection structure for multicomputer networks proposed in 1 . We consider the length increments of {{{{kappa(G)disjoint paths joining arbitrary two nodes v and win G(2^m , 2^k )compared with distance d(v,w)between the two nodes and diameter {{{{\dia(G)of G(2^m , 2^k ), where kappa(G)is the connectivity of G(2^m , 2^k ). We recursively construct disjoint paths of length less than or equal to the minimum of {{{{d(v,w)+2^k-1and \dia(G)+2^k-1for kge2 and the minimum of d(v,w)+3 and \dia(G)+2for k=1. This work can be applied to fault-tolerant routing and analysis of fault diameter and persistence of G(2^m , 2^k )

• 한국컴퓨터정보학회논문지
• /
• 제27권10호
• /
• pp.95-103
• /
• 2022

5G 이동통신 서비스가 점차 확대되어감에 따라 P2P 또는 D2D 응용에서 유튜부 비디오 스트리밍과 같은 트래픽 지향의 스트림 제어가 중요한 기술로 떠오르고 있다. 특히 D2D 통신에서 사용자들이 가장 많이 전송하는 데이터 스트림의 타입은 비디오 스트림이며, 이것은 대용량의 전송 스트림의 특징을 가지고 있다. D2D 통신환경에서 이런 종류의 스트림은 트래픽 혼잡의 원인을 제공할 뿐만 아니라 또한 DUE들 간의 서비스 품질을 저하시킨다. 본 논문에서는 비디오 스트림과 같은 동적 미디어 스트림의 끊김현상을 최소화하고 스트리밍 서비스 품질을 최적화하기 위해 TOSS 기법을 제안한다. 제안된 기법은 5G gNB 환경하의 3.5GHz와 28GHz의 대역폭상에서 미디어 스트림의 특성과 트래픽 타입을 분석하여 미디어 스트림을 스케줄링한다. 우리는 시뮬레이션을 통하여 제안된 기법의 성능을 알아보며, 시뮬레이션 결과는 제안된 기법이 다른 비교 기법들에 비해서 성능이 보다 우수함을 보인다.

• 대한수학회지
• /
• 제48권1호
• /
• pp.49-61
• /
• 2011

Let D be an integral domain with quotient field K, X be a nonempty set of indeterminates over D, * be a star operation on D, $N_*$={f $\in$ D[X]|c(f)$^*$= D}, $*_w$ be the star operation on D defined by $I^{*_w}$ = ID[X]${_N}_*$ $\cap$ K, and [*] be the star operation on D[X] canonically associated to * as in Theorem 2.1. Let $A^g$ (resp., $A^{[*]g}$, $A^{[*]g}$) be the global (resp.,*-global, [*]-global) transform of a ring A. We show that D is a $*_w$-Noetherian domain if and only if D[X] is a [*]-Noetherian domain. We prove that $D^{*g}$[X]${_N}_*$ = (D[X]${_N}_*$)$^g$ = (D[X])$^{[*]g}$; hence if D is a $*_w$-Noetherian domain, then each ring between D[X]${_N}_*$ and $D^{*g}$[X]${_N}_*$ is a Noetherian domain. Let $\tilde{D}$ = $\cap${$D_P$|P $\in$ $*_w$-Max(D) and htP $\geq$2}. We show that $D\;\subseteq\;\tilde{D}\;\subseteq\;D^{*g}$ and study some properties of $\tilde{D}$ and $D^{*g}$.

• 대한수학회보
• /
• 제37권3호
• /
• pp.429-435
• /
• 2000

Our main goal is to show that if there exist Jordan derivations D, E and G on a noncommutative 2-torsion free prime ring R such that$(G^2(x)+E(x))D(x)=0\ or\ D(x)(G^2(x)+E(x))=0\ for\ all\ x\inR$, then we have D=o or E=0, G=0.

• 대한수학회지
• /
• 제52권5호
• /
• pp.991-1001
• /
• 2015

In this work we obtain conditions for nonspecial line bundles on general ${\kappa}$-gonal curves failing to be normally generated. Let L be a nonspecial very ample line bundle on a general ${\kappa}$-gonal curve X with ${\kappa}{\geq}4$ and $deg\mathcal{L}{\geq}{\frac{3}{2}}g+{\frac{g-2}{{\kappa}}}+1$. If L fails to be normally generated, then L is isomorphic to $\mathcal{K}_X-(ng^1_{\kappa}+B)+R$ for some $n{\geq}1$, B and R satisfying (1) $h^0(R)=h^0(B)=1$, (2) $n+3{\leq}degR{\leq}2n+2$, (3) $deg(R{\cap}F){\leq}1$ for any $F{\in}g^1_k $. Its converse also holds under some additional restrictions. As a corollary, a very ample line bundle $\mathcal{L}{\simeq}\mathcal{K}_X-g^0_d+{\xi}^0_e$ is normally generated if $g^0_d{\in}X^{(d)}$ and ${\xi}^0_e{\in}X^{(e)}$ satisfy $d{\leq}{\frac{g}{2}}-{\frac{g-2}{\kappa}}-3$, supp$(g^0_d{\cap}{\xi}^0_e)={\phi}$ and deg$(g^0_d{\cap}F){\leq}{\kappa}-2$ for any $F{\in}g^1_k$.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제30권3호
• /
• pp.337-345
• /
• 2023

Different versions of the boundary Schwarz lemma for the 𝒩 (𝜌) class are discussed in this study. Also, for the function g(z) = z+b₂z²+b₃z³+... defined in the unit disc D such that g ∈ 𝒩 (𝜌), we estimate a modulus of the angular derivative of g(z) function at the boundary point 1 ∈ 𝜕D with g'(1) = 1 + 𝜎 (1 - 𝜌), where ${\rho}={\frac{1}{n}}{\sum\limits_{i=1}^{n}}g(c_i)={\frac{g^{\prime}(c_1)+g^{\prime}(c_2)+{\ldots}+g^{\prime}(c_n)}{n}}{\in}g^{\prime}(D)$ and 𝜌≠1, 𝜎 > 1 and c₁, c₂, ..., c_n ∈ 𝜕D. That is, we shall give an estimate below |g"(1)| according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z ≠ 0. Estimating is made by using the arithmetic average of n different derivatives g'(c₁), g'(c₂), ..., g'(c_n).

• Journal of Korean Neurosurgical Society
• /
• 제50권2호
• /
• pp.89-94
• /
• 2011

Objective : D-dimer is a breakdown product of fibrin mesh after factor XIII stabilization. Previously, many authors have demonstrated a relationship between D-dimer level and stroke progression or type. This study aimed to investigate the relationship between D-dimer level and stroke volume. Methods : Between January 2008 and December 2009, we analyzed the D-dimer levels of 59 acute ischemic stroke patients in our neurosurgical department both upon admission and after seven days of initial treatment. Each patient's National Institute of Health Stroke Scale score, modified Rankin Scales score, Glasgow outcome score, and infarction volume were also evaluated. Results : Mean D-dimer level at admission was 626.6 ${\mu}g/L$ (range, 77-4,752 ${\mu}g/L$) and the mean level measured after seven days of treatment was 238.3 ${\mu}g/L$ (range, 50-924 ${\mu}g/L$). Mean D-dimer level at admission was 215.3 ${\mu}g/L$ in patients with focal infarctions, 385.7 ${\mu}g/L$ in patients with multiple embolic infarctions, 566.2 ${\mu}g/L$ in those with 1-19 cc infarctions, 668.8 ${\mu}g/L$ in 20-49 cc infarctions, 702.5 ${\mu}g/L$ in 50-199 cc infarctions, and 844.0 ${\mu}g/L$ in >200 cc infarctions (p=0.044). On the 7th day of treatment, the D-dimer levels had fallen to 201.0 ${\mu}g/L$, 293.2 ${\mu}g/L$, 272.0 ${\mu}g/L$, 232.8 ${\mu}g/L$, 336.6 ${\mu}g/L$, and 180.0 ${\mu}g/L$, respectively (p=0.530). Conclusion : Our study shows that D-dimer level has the positive correlation with infarction volume and can be use to predict infarction-volume.

• KSBB Journal
• /
• 제5권1호
• /
• pp.1-8
• /
• 1990

D-sorbitol을 첨가한 배지에서 G. melanogenus를 배양하였을 때에 D-sorbitold은 L-sorbose를 거쳐 2 keto-L-gulonic acid로 전환되었다. G. cerinus를 D-sorbitol 대신에 포도당을 첨가하여 준 배지에서 배양하였을 때에 포도당은 2-keto-D-gluconic acid, 5-keto-D-gluconic acid, 2.5 diketo-D-gluconic acid로 산화되었다. 2,5-diketo-D-gluconic acid는 포도당이 2-keto-D-gluconic acid를 거쳐 생성되는 것으로 확인되었다. 배양액에 첨가하여 준 탄산칼슘의 양을 증가시키면 5-keto-D-gluconate의 생성이 증가하였고, 탄산칼슘대신에 다른염기를 배양액에 가하여 주었을 때는 2keto-D-gliconate만 생성되었다.