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AN ELEMENTARY PROOF OF SFORZA-SANTALÓ RELATION FOR SPHERICAL AND HYPERBOLIC POLYHEDRA

  • Cho, Yunhi
    • Communications of the Korean Mathematical Society
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    • v.28 no.4
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    • pp.799-807
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    • 2013
  • We defined and studied a naturally extended hyperbolic space (see [1] and [2]). In this study, we describe Sforza's formula [7] and Santal$\acute{o}$'s formula [6], which were rediscovered and later discussed by many mathematicians (Milnor [4], Su$\acute{a}$rez-Peir$\acute{o}$ [8], J. Murakami and Ushijima [5], and Mednykh [3]) in the spherical space in an elementary way. Thereafter, using the extended hyperbolic space, we apply the same method to prove their results in the hyperbolic space.

CONSTRUCTION OF AN HV-BE-ALGEBRA FROM A BE-ALGEBRA BASED ON "BEGINS LEMMA"

  • Naghibi, R.;Anvariyeh, S.M.;Mirvakili, S.
    • The Pure and Applied Mathematics
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    • v.28 no.3
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    • pp.217-234
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    • 2021
  • In this paper, first we introduce the new class of HV-BE-algebra as a generalization of a (hyper) BE-algebra and prove some basic results and present several examples. Then, we construct the HV-BE-algebra associated to a BE-algebra (namely BL-BE-algebra) based on "Begins lemma" and investigate it.

Single and 28-Day Repeated Intramuscular dose Toxicity Studies of Botulinum Toxin Type a in Rats

  • Woo S. Koh;Moon-K. Chung;Kim, Yong B.;Chang S. Ha;Gi H. Yang;Hyun H. Chung;Tae C. Jeong
    • Proceedings of the Korean Society of Toxicology Conference
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    • 2003.10b
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    • pp.150-150
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    • 2003
  • Botulinum toxin type A was intramuscularly administered to Sprague-Dawley rats in both single and 28-day repeated dose toxicity studies. In the single dose toxicity study performed at 25, 50, 100, and 200 ng/kg, LD50 was estimated to be 70.71 ng/kg for males and 97.63 ng/kg for females.(omitted)

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CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SYMMETRIC q-DERIVATIVE OPERATOR

  • Jae Ho Choi
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.647-657
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    • 2023
  • The aim of this paper is to study certain subclass ${\tilde{S^q_{\Sigma}}}({\lambda},\,{\alpha},\,t,\,s,\,p,\,b)$ of analytic and bi-univalent functions which are defined by using symmetric q-derivative operator. We estimate the second and third coefficients of the Taylor-Maclaurin series expansions belonging to the subclass and upper bounds for Feketo-Szegö inequality. Furthermore, some relevant connections of certain special cases of the main results with those in several earlier works are also pointed out.

The Prediction of Fatigue Crack Initiation Life of Cylindrical Notch Specimens Using Local Strain Approximation (국부 변형률 근사를 이용한 원통형 노치시편의 피로균열 발생수명의 예측)

  • Lim, Jae-Yong;Hong, Seong-Gu;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.6
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    • pp.791-798
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    • 2004
  • Fatigue crack initiation lives of round cylindrical notch specimen were investigated. Firstly, local strain approximation methods, such as the modified incremental Neuber's rule and the modified incremental Glinka's equivalent strain energy density(ESED) rule, were used to get multiaxial stress and strain state components at the notch tip. Based on the history of local stress and strain, multiaxial fatigue models were used to obtain fatigue crack initiation lives. Because the solution of Neuber's rule and Glinka's ESED rule make the upper and lower bound of local strain approximations, fatigue crack initiation lives are expected to place between life predictions by two local strain approximations. Experimental data were compared with the fatigue crack initiation life prediction results.

The Impact on Adult Men's Development through Fathering Experiences (아버지됨(Fathering) 경험이 남성의 성인기 발달에 미치는 의미 탐색)

  • Hwang Jung-Hae
    • Journal of Families and Better Life
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    • v.24 no.2 s.80
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    • pp.43-60
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    • 2006
  • Using interviewing methods, this study was able to identify how fathering impacted the development of adult fathers between the ages of 28 and 45 through 1 to 2 hours. The subjects were 46 middle-class adult men's from the ages of 28 and 45. Twenty of the subjects had infants under the age of 36 months, thirteen had preschool children, 37 months to preschool, and the remaining fathers had primary school aged children. Results are as follows: First, fathering experiences impacted the development of self-identify, sense of intimacy, and sense of generativity during adulthood. Second, fathering experiences impacted the men's establishment of 'becoming-themselves.' Last, fathering experiences impacted the development of men's maturity.

1.28-Tb/s (64 × 20 Gb/s) WDM Transmission Over 320 km of Single-Mode Fiber with 0.4- (bit/s) /Hz Spectral Efficiency

  • Chung, Hwan-Seok;Jun, Sang-Bae;Chung, Yun-Chur;Hyun, Duk-Hwa
    • Journal of the Optical Society of Korea
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    • v.6 no.1
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    • pp.13-17
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    • 2002
  • We demonstrated 1.28-Tb/s (64 ch $\times$ 20 Gb/s) WDM transmission with 50-GHz channel spacing over 320 km of conventional single mode fibers. The spectral efficiency was 0.4 (bit/s)/Hz. Thus, we could accommodate all the sixty-four WDM channels within the C-band of EDFA The average Q-factor was measured to be better than 17.8 dB after transmission over 320 km.