• 충청수학회지
• /
• 제21권3호
• /
• pp.301-320
• /
• 2008

The smash product algebra has been generalized to general smash product algebra in [3] and we can generalize the smash coproduct coalgebra to obtain the general smash coproduct coalgebra. It is natural to replace the smash product and smash coproduct by the generalized smash product and generalized smash coproduct and consider the condition under which the generalized smash product algebra structure and the generalized smash coproduct coalgebra structure will inherit a bialgebra structure or a Hopf algebra structure. We derive necessary sufficient conditions for the problem. This generalizes the corresponding results in [7] and [4].

• 충청수학회지
• /
• 제19권1호
• /
• pp.57-60
• /
• 2006

Several examples of smash product are given.

• 한국운동역학회지
• /
• 제23권3호
• /
• pp.201-208
• /
• 2013

The aim of this study was to investigate badminton smash and drop motion depends on player's level. To perform this study, ten male badminton players were participated: five skilled players (SG, age: $21.6{\pm}1.1$ yrs, height: $181.4{\pm}6.8$ cm, body mass: $72.4{\pm}5.7$ kg, career: $11.2{\pm}1.1$ yrs) and five less-skilled players (LSG, age: $21.2{\pm}1.1$ yrs, height: $180.2{\pm}5.6$ cm, body mass: $73.6{\pm}6.7$ kg, career: $10.6{\pm}0.9$ yrs). Three-dimensional motion analysis with 7 infrared cameras was performed with a sampling frequency as 200 Hz. Player's swing motion was divided into four events: starting motion (E1), backswing (E2), impact (E3), following (E4). For all upper joints, LSG showed greater angle differences between drop and smash motions than that of SG at E3 (p<.05). For all upper joints, greater angular velocities were found in SG than that of LSG. For both groups, significantly smaller angular velocities were found in drop motion than that of smash motion (p<.05). The greater sequential angular velocities (proximal to distal) were found in SG than LSG during smash motion. Based on our findings, performing the same motion between drop and smash would be related to enhance performance at badminton competition. It is expected that these results will be useful in developing a training program for enhancing performance of badminton athletes.

• 대한수학회보
• /
• 제36권2호
• /
• pp.337-342
• /
• 1999

M. Cohen and S. Montgomery showed that a Maschke-type theorem for the smash product, which unlike the corresponding result for group actions, does not require any assumptions about the characterstic of the algebra. Our purpose in this paper is a Maschke-type theorem for the graded smash coproduct C⋊kG: let V be a right C⋊kG-comodule and W a C⋊kG-subcomoduleof V which is a C-direct summand of V. Then W is a C⋊kG-direct summand of V. Also this result is equivalent to the following : let V be a graded right C-comodule and W a graded subcomodule of V which has a complement as a C-subcomodule of V. Then W has a graded complement.

• 충청수학회지
• /
• 제11권1호
• /
• pp.99-113
• /
• 1998

Let (H, K) be a paired Hopf algebras and let A be arbitrary left H-module coalgebra. We construct twisting coproduct on $A{\otimes}K$. We show that the well known construction of the smash coproduct can be viewed as a particular case of the construction above.

• 트랜스-
• /
• 제8권
• /
• pp.79-93
• /
• 2020

본 연구에서 고찰하려는 것은 '댄스 스매시(Dance Smash, 무도풍폭(舞蹈风暴))'라는 무용 리얼리티 TV 쇼를 통해서 무용과 뉴미디어 기술을 결합한 프로그램이 중국 무용계에 미치는 영향이다. TV 무용 프로그램인 댄스 스매시에서 적용된 '불릿타임(Bullet time)'과 같은 하이테크 뉴미디어 기술은 이제 무용수의 능력을 판단하는 중요한 도구가 되고 있으며, 이로써 전통적 매체에 비해 무용수의 기술적 테크닉에 대한 평가가 더욱 정교하고 공평하게 이루어지게 되었다. 댄스 스매시에 이용된 불릿타임에 관한 논의에서 중국뉴미디어 댄스 발전에 대한 하나의 전망을 얻을 수 있다. 그 방향은 중국무용이 과학기술과 무용의 결합에 힘입어 국제무대와 접목하여 나아가는 것이다.

• 충청수학회지
• /
• 제8권1호
• /
• pp.173-181
• /
• 1995

Let H and G be finite dimensional semisimple Hopf algebras and let A and B be left H and G-module algebras respectively. We use smash product algebras to show that 1) if A is right Artinian then $A^H$ is right Artinian, 2) $Soc\;V_A{\subset}Soc\;V_{A^H}$ and rad $V_A{\supset}\;radV_{A^H}$, 3) $K\;dim\;_BV_A=K\;dim\;_{B^G}V_{A^H}$.

• 대한수학회보
• /
• 제38권3호
• /
• pp.527-541
• /
• 2001

We find the necessary and sufficient conditions for the smash product algebra structure and the crossed coproduct coalgebra structure with th dual cocycle $\alpha$ to afford a Hopf algebra (A equation,※See Full-text). If B and H are finite algebra and Hopf algebra, respectively, then the linear dual (※See Full-text) is also a Hopf algebra. We show that the weak coaction admissible mapping system characterizes the new Hopf algebras (※See Full-text).

• 한국운동역학회지
• /
• 제18권1호
• /
• pp.11-19
• /
• 2008

전국 규모의 경기에서 우승한 선수들을 포함한 남자대학 선수 8명을 대상으로 했다. 피험자의 4명은 펜홀더 그립, 4명은 세이크핸드 그립의 라켓을 사용하며 모두 오른손을 사용했다. 탁구의 포핸드 드라이브와 스매시의 라켓스윙동작과 관련된 각도성분, 스윙궤도, 스윙자세 등의 3차원 각운동 특성을 비교 분석한 결과 다음과 같은 결론을 얻었다. 라켓각(p<.05)과 라켓의 스윙각(p<.01)에서 두 동작 간 유의한 차이를 보였다. 스매시는 백스윙 자세에서 이미 라켓을 세워 라켓각을 크게 유지했으며, 라켓의 스윙각을 작게 해서 볼 스피드에 비중을 두는 것을 알 수 있었다. 또한 백스윙 자세에서 라켓헤드의 높이도 두 동작 간 큰 차이가 나타났다. 임팩트 순간 phg에서 두 동작 간 라켓 장축의 열림각의 차이가 크게 나타난 것을 보면, 볼에 순회전의 스핀을 넣기 위해서 약간 뒤에서 임팩트가 이루어진 것을 알 수 있었다. 백스윙 자세에서 상체의 기울기는 드라이브 동작에서 phg보다 shg에서 상체를 조금 더 구부리는 것은 중립 자세에서 라켓 그립의 구조적 차이로 인한 것으로 판단된다.

• 한국운동역학회지
• /
• 제13권2호
• /
• pp.65-74
• /
• 2003

The purpose of this study was to analyze kinematic variables in the badminton smash motion through 3-dimensional image analysis. The kinematic variables were velocity of joints in upper limbs, the angle of wrist in the impact, and the angular velocity of the top of racket head. The smash motions of four male badminton players in H University and four male students at department of the physical education in K University who were not majoring in badminton were analyzed kinematically and the attained conclusions were as follow. 1. The velocity of segments in upper limbs of the unskilled group was faster than that of the skilled group. The movement pattern was fast back swing-slow impact moment-fast fellow through in the unskilled group, but slow back swing-fast impact moment-slow follow through in the sullied group. 2. As the BS phases, the velocity of segment in right shoulder was different significantly between groups. Right elbow and right wrist segments, velocity of racket head was different significantly between groups(p<.05) by IP phases. As the FT phases, there was no significant difference. 3. The angle of right wrist at the impact, the angle of palm flexion and the angle of palm flexion in aspect were shown that the skilled group was higher than unskilled group. There was no significant difference. 4. The velocity of racket head was shown that the unskilled group has fast velocity, but the angle velocity was shown the unskilled group has slow. 5. The angle velocity of racket head in aspect were no significant difference between groups, but maximal angle velocity was different significantly between groups(p<.05).