• 대한수학회보
• /
• 제38권2호
• /
• pp.399-412
• /
• 2001

In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

• 대한수학회보
• /
• 제52권4호
• /
• pp.1297-1303
• /
• 2015

We study Samelson products on models of function spaces. Given a map $f:X{\rightarrow}Y$ between 1-connected spaces and its Quillen model ${\mathbb{L}}(f):{\mathbb{L}}(V){\rightarrow}{\mathbb{L}}(W)$, there is an isomorphism of graded vector spaces ${\Theta}:H_*(Hom_{TV}(TV{\otimes}({\mathbb{Q}}{\oplus}sV),{\mathbb{L}}(W))){\rightarrow}H_*({\mathbb{L}}(W){\oplus}Der({\mathbb{L}}(V),{\mathbb{L}}(W)))$. We define a Samelson product on $H_*(Hom_{TV}(TV{\otimes}({\mathbb{Q}}{\oplus}sV),{\mathbb{L}}(W)))$.

• Korean Journal of Mathematics
• /
• 제18권2호
• /
• pp.161-166
• /
• 2010

For an abelian extension K of ${\mathbb{Q}}$, let $C_W(K)$ be the group of Washington units of K, and $C_S(K)$ the group of Sinnott units of K. A lot of results about $C_S(K)$ have been found while very few is known about $C_W(K)$. This is mainly because elements in $C_S(K)$ are more explicitly defined than those in $C_W(K)$. The aim of this paper is to find a basis of $C_W(K)$ and use it to compare $C_W(K)$ and $C_S(K)$ when K is a subfield of ${\mathbb{Q}}({\zeta}_{p^e})$, where p is a prime.

• Kyungpook Mathematical Journal
• /
• 제27권1호
• /
• pp.35-41
• /
• 1987

Consider the system (i) x'=Ax. Let ${\Phi}$ be its fundamental matrix solution. If there is w>0 such that A(t+w)-A(t) commutes with ${\Phi}$ for all t, then we call this system a "generalized" Floquet system or a "G. F. system". We show that $A(t+w)-A(t)=B_1$=constant if and only if $A(t)=C+B_1t/w+Q(t)$, Q is periodic of period w>0. For this A(t) We prove that if all eigenvalues of $B_1$ have negative real parts, then the origin is asumptotically stable. We find a growth condition for a continuous D(t) which guarantees that all solutions of z'=[A(t)+D(t)]z are bounded if all solutions of the G. F. system (i) are bounded. Combining the foregoing results yield a class of perturbed G. F. operators all of whose solutions are bounded.

• 한국안전학회지
• /
• 제20권3호
• /
• pp.98-104
• /
• 2005

This study experimentally and theoretically examines the fire characteristics of 100- by 100- by 50-mm samples of flame retardant treated Douglas fir. Samples were exposed to a range of incident heat fluxes 10 to $50kW/m^2$. The time to ignition measurements obtained from the cone heater were used to derive characteristic properties of the materials. A one-dimensional integral model has been used to predict the, time to ignition, critical heat flux and ignition temperature of samples. Ignition data and best-fit curves confirm ${{\dot{q}}_i}^{'}{\rightarrow}{{\dot{q}}_{cr}^{'}\;then\;t_{ig}{\rightarrow}{\infty}$ and when ${{\dot{q}}_i}^'{\gg}{{\dot{q}}_{cr}^'\;then\;t_{ig}{\rightarrow}0$. And Ignition of flame retardant treated samples occurred not at incident heat flux of bellow $10kW/m^2.$. By a one-dimensional integral model, the critical heat flux of each samples was predicted $10.21kW/m^2,\;11.82kW/m^2,\;and\;14.16kW/m^2$ for the D-N, D-F2, and D-F4, respectively. In ignition temperature of each samples, flame retardant treated samples were measured high about $50^{\circ}C$ than non-treated samples. Water-soluble flame retardant used in this study finds out more effect in delay of time to ignition when incident heat flux is low than high.

• 한국정보과학회:학술대회논문집
• /
• 한국정보과학회 2006년도 가을 학술발표논문집 Vol.33 No.2 (D)
• /
• pp.85-89
• /
• 2006

센서네트워크에는 한 가지 종류의 센서만을 사용하는 것이 아니라 여러 가지 종류의 센서를 하나의 네트워크에 연결하여 한 번에 여러 종류의 센서의 질의를 수행할 수 있어야 한다. 이 경우에 다양한 센서가 부착된 네트워크에서 한 가지 종류의 센서에 대한 질의를 수행할 경우 해당되는 센서를 포함하지 않는 센서에 대해서도 질의를 수행해야 한다. 본 논문에서는 여러 종류의 센서가 부착된 센서네트워크에서 라우팅 테이블을 이용하여 질의를 최적화하는 방법을 제안한다. 센서노드의 라우팅 테이블에는 그 센서가 질의명령어를 보내고 받아야 하는 센서노드에 대한정보를 포함한다. 자식노드에 명령어를 보낼 경우 하위노드에서 질의하는 센서의 종류가 없을 경우에도 명령어를 보내야 한다. 이 경우 하위 자식노드에 원하는 센서의 종류에 관한 정보를 포함하면 센서의 종류에 따라서 불필요한 명령어의 수행을 줄일 수 있도록 하였다. 이 방법은 ATmega128 CPU를 장착한 Nano-Q+ 시스템에서 구현되었다.

• Journal of the Optical Society of Korea
• /
• 제17권1호
• /
• pp.5-9
• /
• 2013

We report on high-power continuous-wave operations of an Er:YAG ceramic laser in-band pumped by a cladding-pumped Er,Yb fiber laser at 1532 nm. With an output coupler of 10% transmission, the ceramic laser yielded 16.7 W of continuous-wave output at 1645 nm for 28.8 W of incident pump power, corresponding to a slope efficiency of 61.0% with respect to the incident pump power. The lasing wavelength switched to 1617 nm when output couplers of > 20% transmission were used. Up to 16.2 W of 1617 nm output was generated for 33.0 W of incident pump power, corresponding to a slope efficiency of 51.8%. Graphene Q-switched operation of Er:YAG cermic laser at 1645 nm was also demonstrated with stable pulses of 30-74 kHz repetition rates and 1.5-6.4 ${\mu}s$ pulse widths.

• 전력전자학회:학술대회논문집
• /
• 전력전자학회 2012년도 추계학술대회 논문집
• /
• pp.56-57
• /
• 2012

본 논문에서는 단상 전류형 qZ-Source 인버터를 개선하여 전압이득이 확장된 단상 전류형 qZ-Source를 제안 한다. 기존의 인버터는 출력전압이 입력전압보다 작거나 같지만 제안한 인버터는 기존의 인버터보다 2배의 출력전압을 가진다. 120 W의 시제품을 제작하여 실험 검증하였다.

• 한국자기학회:학술대회 개요집
• /
• 한국자기학회 2004년도 하계학술연구발표회 논문개요집
• /
• pp.100-101
• /
• 2004

• 한국원자력학회:학술대회논문집
• /
• 한국원자력학회 2005년도 추계학술발표회
• /
• pp.781-782
• /
• 2005