• Title/Summary/Keyword: distinguished normal

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ON SOME SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX PROJECTIVE SPACE

  • Lee, Seong-Baek;Kim, Soo-Jin
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.309-323
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    • 2003
  • In this paper, We characterize a semi-invariant sub-manifold of codimension 3 satisfying ∇$\varepsilon$A = 0 in a complex projective space CP$\^$n+1/, where ∇$\varepsilon$A is the covariant derivative of the shape operator A in the direction of the distinguished normal with respect to the structure vector field $\varepsilon$.

The Ultrasonographic Images of Normal Uterus in Korean Native Cow (한우 정상 자궁의 초음파적 관찰)

  • Park, Chul-Ho;Kim, Jae-Hong;Mun, Byeong-Gwon;Kim, Hee-Su;Kim, Bang-Sil;Lee, Ju-Hwan;Park, In-Chul;Kim, Jong-Taek;Suh, Guk-Hyun;Oh, Ki-Seok;Son, Chang-Ho
    • Journal of Embryo Transfer
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    • v.24 no.3
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    • pp.159-167
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    • 2009
  • Ultrasonographic examination was performed to observe the ultrasonographic image of Korean native cows' normal uterus in condition of in vitro and in vivo. The experiment was done 28 slaughtered cows' uterus using immersed in water in vitro, and 41 healthy breeding cows taken rectal ultrasonography in vivo. Ultrasonographic examination of uterine was taken on the reference of cross section of intercornual ligaments' cranial. Each uterus on the experiments was compared by estrous cycle and ultrasonographic frequency. The uterine structure using ultrasonography was 5 layers of uterine horn in vivo as well as in vitro. Uterine horn was observed to be distinguished from inside to outside as endometrium to inner echogenic layer, circular muscle layer to slightly echogenic elliptical layer, stratum vasculare to central echogenic layer, longitudinal muscle layer to slightly echogenic arched layer, and perimetrium to outer echogenic layer, respectively. According to the observation of uterus related to estrous cycle and ultrasonographic examination, uterine endometrium in vitro was constantly founded irrespective of estrous cycle and ultrasonographic frequency. On the low frequency, endometrium and circular muscle layer in estrus were prone to distinguished than in diestrus. On the high frequency, endometrium and circular muscle layer were always distinguished regardless of estrous cycle. In vivo, uterine endometrium and circular muscle layer were observed regardless of estrus and ultrasonographic frequency. On the low frequency, stratum vasculare and longitudinal muscle layer were not likely to be distinguished in diestrus, but estrus. On the high frequency, stratum vasculare and longitudinal muscle layer were observed regardless of estrous cycle. Also, every uterine structure was easily distinguished on high frequency than low frequency owing to precision of distinction in layers. The difference of results followed by the experiments conditions between in vitro and in vivo was that uterine endometrium and circular muscle layer in diestrus in vitro were difficult to be distinguished and uterine lumen was observed during whole estrous cycle. In vivo, It was founded that the distinction of stratum vasculare and logitudinal muscle layer in diestrus was complicated and uterine lumen was observed during only estrus. In view of the result so far achieved, normal uterine structure divided in 5 layers on ultrasonography was accorded with microscopic organization, uterine structure was likely to be observed during estrus than diestrus, high frequency checkup than low frequency, and uterine endometrium, circular muscle, stratum vasculare was easily observed regardless of estrous cycle and ultrasonographic frequency.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX HYPERBOLIC SPACE

  • KI, U-HANG;LEE, SEONG-BAEK;LEE, AN-AYE
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.91-111
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    • 2001
  • In this paper we prove the following : Let M be a semi-invariant submanifold with almost contact metric structure (${\phi}$, ${\xi}$, g) of codimension 3 in a complex hyperbolic space $H_{n+1}{\mathbb{C}}$. Suppose that the third fundamental form n satisfies $dn=2{\theta}{\omega}$ for a certain scalar ${\theta}({\leq}{\frac{c}{2}})$, where ${\omega}(X,\;Y)=g(X,\;{\phi}Y)$ for any vectors X and Y on M. Then M has constant eigenvalues correponding the shape operator A in the direction of the distinguished normal and the structure vector ${\xi}$ is an eigenvector of A if and only if M is locally congruent to one of the type $A_0$, $A_1$, $A_2$ or B in $H_n{\mathbb{C}}$.

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SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH 𝜉-PARALLEL STRUCTURE JACOBI OPERATOR

  • U-Hang KI;Hyunjung SONG
    • East Asian mathematical journal
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    • v.40 no.1
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    • pp.1-23
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    • 2024
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c). We denote by A, K and L the second fundamental forms with respect to the unit normal vector C, D and E respectively, where C is the distinguished normal vector, and by R𝜉 = R(𝜉, ·)𝜉 the structure Jacobi operator. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y , and at the same time R𝜉K = KR𝜉 and ∇𝜙𝜉𝜉R𝜉 = 0. In this paper, we prove that if it satisfies ∇𝜉R𝜉 = 0 on M, then M is a real hypersurface of type (A) in Mn(c) provided that the scalar curvature $\bar{r}$ of M holds $\bar{r}-2(n-1)c{\leq}0$.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 SATISFYING 𝔏ξ∇ = 0 IN A NONFLAT COMPLEX SPACE FORM

  • AHN, SEONG-SOO;LEE, SEONG-BAEK;LEE, AN-AYE
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.133-143
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    • 2001
  • In this paper, we characterize some semi-invariant submanifolds of codimension 3 with almost contact metric structure (${\phi}$, ${\xi}$, g) satisfying 𝔏ξ∇ = 0 in a nonflat complex space form, where ${\nabla}$ denotes the Riemannian connection induced on the submanifold, and 𝔏ξ is the operator of the Lie derivative with respect to the structure vector field ${\xi}$.

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A New Species of the Genus Xysticus (Araneae: Thomisidae) from China

  • Peng, Xian-Jin;Yin, Chang-Min;Kim, Joo-Pil
    • Animal cells and systems
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    • v.4 no.3
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    • pp.263-265
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    • 2000
  • A new species, Xysticus jiangi n. sp. is described based on the specimens collected in Hunan province, China. X. jiangi is similar to X. chui, but distinguished by smaller spermathecae, distinct copulatory canals, and Y-shaped median apophysis. In addition, basal apophysis of tegulum is well developed, compared to that of the latter.

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A Study on the Analysis of Foot Shape (I) -on Classification of Foot Type- (발의 형태분석에 관한 연구(I) -발의 형 분류를 중심으로-)

  • Moon Myeng-ok;Kwon Young-suk
    • Journal of the Korean Society of Clothing and Textiles
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    • v.12 no.1 s.26
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    • pp.45-52
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    • 1988
  • To classify the foot type, direct measurements, metatarso-phalanx angle and foot print angle of the right and left foot were measured and analyzed. The results are as follows. 1. The correlation coefficients between right and left foot were high degree, and except medial malleous height, the diffences between right and left foot are not significant. 2. The correlation coefficient among direct measurements of the foot are high degree, tut the correlation coefficients between direct measurements and metatarso-phalanx angle and foot print angle are no or low degree. Therefore, to recognize the foot type, the direct measurements, metatarso-phalanx angle and foot print angle need to be measured independently. 3. According to foot width/foot $length{\times}100$ which is the slender degree of foot, three groups are distinguished: one is slender type of which foot width/foot $length{\times}100$ is less than $40.14\%$, two is standard type of which foot width/foot $length{\times}100$ is $40.14\%{\~}44.30\%$, three is broad type of which foot width/foot $length{\times}100$ is more than $44.30\%$. 4. On the photographs metatarso-phalanx angle was measured, and two groups are distinguished: one is normal type of which the metatarso-phalanx angle is more than $160^{\circ}$ and the other is the deformed type of which the metatarso-Phalanx angle is less than $159^{\circ}$. 5. By foot print angle $30^{\circ}$ which need reformation of the foot, two groups are distinguished: one is normal foot print angle of which the angle is more than $30^{\circ}$ and the other is flat foot print angle of which the angle is less than $30^{\circ}$. 6. Classifications by foot width/foot $length{\times}100$, metatarso-Phalanx angle and foot Print angle are put together, and then foot types are classified into 12 groups such as Table 11.

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Development of a Real-time Fault Diagnosis System for Electric Motors using radiated sound signals (방사음을 이용한 모터 결함 판정용 실시간 전문가 시스템 개발)

  • 경용수;김상명;왕세명
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.603-608
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    • 2001
  • In order to distinguish fault electric motors automatically in real time. an intelligent diagnosis technique may be required. This paper presents an automatic fault detection system for electric motors by using their acoustic noises. Time signals of each candidate motor were measured in an anechoic chamber for further analysis. Spectral analysis was first carried out and they showed that two typical types of fault motors could be successfully distinguished in the frequency domain; bearing faults and scratches. Unlike the trend of normal motors that shows only a single dominant peak at around 2000 ㎐, several peaks are bunched together in bearing fault motors. On the other hand, large frequency noises at around 6500 ㎐ are newly arisen in scratchy fault motors. However, the processing time for spectral analysis was rather long for a real time application in production lines. Thus, a number of band-pass filters were used in the time domain instead for a real time application. Before applying filters, the bands of filters were set from the information of spectral analysis. By applying a set of band-pass filters, the RMS values of each filtered signal were calculated, and thus the normal and damaged motors could be successfully distinguished.

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The Research Regarding a Prevention Effect of Osteoprosis used an Arrowroot Fermentation from Ovaryectomized SD Rat (난소적출 흰쥐를 이용한 칡 발효액이 골다공증 예방 효과에 미치는 영향 연구)

  • Ma Jin Yrul;Lee Joung Woon;Kim Dong-Hyun;Lee Young Chul;Na Hye Sook;Zee Ok Pyo
    • YAKHAK HOEJI
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    • v.49 no.6
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    • pp.495-504
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    • 2005
  • In our study, osteoporosis was induced by ovariectomized in female Sprague-Daweley rats, and the prevention and treatment efficacy of the climacteric disease the postmenopausal Type I pattern was examined by using the experimental substance soybeans and arrowroot. After ovariectomy; the amount of estrogen was found to be reduced by 21.37$\%$ and it showed the tendency to be increased by 4.49$\%$ in T1 (extraction of soybeans group) and 7.62$\%$ in T2 (extraction of ferment soybeans group). The change of bone density, 14 weeks after ovariectomy in the femur, was decreased by 9.33$\%$ in N.C. group, and 5.46$\%$ in T3 (extraction of ferment arrowroot group). As pathological findings, the trabeculae of femur were detected to be abundant as normal and the frequency of the appearance of osteoclasts was very minimal. In the T3, the frequency of the appearance of the trabeculae of femur was increased to the level that could be distinguished. In regard to the accumulation of lipid in the bone marrow, the accumulation of lipid in the bone marrow was low as normal. However, in T3, the decrease to the level that could be distinguished was detected. In addition, in regard to the pathological findings of the uterus, normal uterine tissue findings were detected. In the T3, the minimal atrophy findings were detected. In conclusion, when the T3 was orally administered continuously for 14 weeks, it was thought that a certain proportion of the hormonal balance was maintained that functioned as a substance interfering the accumulation of fat, and it was considered to be of help in the treatment of not only osteoporosis Type I, but also for the prevention and treatment of various endocrinal diseases.

A Method of Evaluating Korean Articulation Quality for Rehabilitation of Articulation Disorder in Children

  • Lee, Keonsoo;Nam, Yunyoung
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.8
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    • pp.3257-3269
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    • 2020
  • Articulation disorders are characterized by an inability to achieve clear pronunciation due to misuse of the articulators. In this paper, a method of detecting such disorders by comparing to the standard pronunciations is proposed. This method defines the standard pronunciations from the speeches of normal children by clustering them with three features which are the Linear Predictive Cepstral Coefficient (LPCC), the Mel-Frequency Cepstral Coefficient (MFCC), and the Relative Spectral Analysis Perceptual Linear Prediction (RASTA-PLP). By calculating the distance between the centroid of the standard pronunciation and the inputted pronunciation, disordered speech whose features locates outside the cluster is detected. 89 children (58 of normal children and 31 of children with disorders) were recruited. 35 U-TAP test words were selected and each word's standard pronunciation is made from normal children and compared to each pronunciation of children with disorders. In the experiments, the pronunciations with disorders were successfully distinguished from the standard pronunciations.