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CONGRUENCE-FREE SIMPLE SEMIGROUP

  • Moon, Eunho L.
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.177-182
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    • 2005
  • If a semigroup S has no nontrivial congruences then S is either simple or 0-simple.([2]) By contrast with ring theory, not every congruence on a semigroup is associated with an ideal, hence some simple(or 0-simple) semigroup may have a nontrivial congruence. Thus it is a short note for the characterization of a simple(or 0-simple) semigroup that is congruence-free. A semigroup that has no nontrivial congruences is said to be congruence-free.

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The Effect of Dose Distribution under Treatment Techniques on Cerebrospinal Irradiation (뇌 및 척수조사시 치료기법의 변화가 선량분포에 미치는 영향)

  • Lee, Seungchul;Kim, Youngjae
    • Journal of the Korean Society of Radiology
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    • v.10 no.1
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    • pp.21-28
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    • 2016
  • This study tries to evaluate the usefulness CSI treatment. Compare the standard technique and simple technique, using the volume region of a high dose of Field joints (hot spot) or low dose regions (cold Spot). In patients who agreed to this study, obtain CT image using CT simulator skull to pelvis region. Standard Technique were performed on the movement of the joint radiation field range and simple technique has set a treatment plan to secure the radiation field range and analyzed treatment planning. Under analysis standard technique occurred the area of the high dose(Hot Spot) for the area overlapping the field and simple technique showing a uniform doses. CI indices of standard technique and simple technique was 1.6~3, 1.6~1.87, CN indices was 0.32~0.53, 0.46~0.51 and HI indices was 0.11~0.33, 0.2~0.26. Therefore, adjacent to part of the dose distribution junction more equally than simple technique compared to the Standard Technique. Compare the dose distribution patterns using CI, CN, HI indices, showed a uniform dose distribution in the simple technique. so, simple technique was determined appropriate treatment the CSI.

IOTA Simple Rules in Differentiating between Benign and Malignant Adnexal Masses by Non-expert Examiners

  • Tinnangwattana, Dangcheewan;Vichak-ururote, Linlada;Tontivuthikul, Paponrad;Charoenratana, Cholaros;Lerthiranwong, Thitikarn;Tongsong, Theera
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.9
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    • pp.3835-3838
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    • 2015
  • Objective: To evaluate the diagnostic performance of IOTA simple rules in predicting malignant adnexal tumors by non-expert examiners. Materials and Methods: Five obstetric/gynecologic residents, who had never performed gynecologic ultrasound examination by themselves before, were trained for IOTA simple rules by an experienced examiner. One trained resident performed ultrasound examinations including IOTA simple rules on 100 women, who were scheduled for surgery due to ovarian masses, within 24 hours of surgery. The gold standard diagnosis was based on pathological or operative findings. The five-trained residents performed IOTA simple rules on 30 patients for evaluation of inter-observer variability. Results: A total of 100 patients underwent ultrasound examination for the IOTA simple rules. Of them, IOTA simple rules could be applied in 94 (94%) masses including 71 (71.0%) benign masses and 29 (29.0%) malignant masses. The diagnostic performance of IOTA simple rules showed sensitivity of 89.3% (95%CI, 77.8%; 100.7%), specificity 83.3% (95%CI, 74.3%; 92.3%). Inter-observer variability was analyzed using Cohen's kappa coefficient. Kappa indices of the four pairs of raters are 0.713-0.884 (0.722, 0.827, 0.713, and 0.884). Conclusions: IOTA simple rules have high diagnostic performance in discriminating adnexal masses even when are applied by non-expert sonographers, though a training course may be required. Nevertheless, they should be further tested by a greater number of general practitioners before widely use.

The Clinical Usefulness of Cephalometric Analysis in the Obstructive Sleep Apnea Syndrome (폐쇄성 수면 무호흡 증후군에서 두개골계측분석의 임상적 유용성)

  • Choi, Young-Mee;Lee, Sang-Haak;Kwon, Soon-Seog;Kim, Young-Kyoon;Kim, Kwan-Hyoung;Song, Jeong-Sup;Park, Sung-Hak;Moon, Hwa-Sik
    • Tuberculosis and Respiratory Diseases
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    • v.47 no.2
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    • pp.218-230
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    • 1999
  • Background: Craniofacial anatomic abnormalities related to structural narrowing of the upper airway have been reported in patients with obstructive sleep apnea syndrome. In this study, we evaluated the craniofacial anatomic characteristics of Korean patients with obstructive sleep apnea syndrome, and the role of cephalometric analysis in the prediction of abnormal breathing during sleep. Methods: Thirty-nine patients with obstructive sleep apnea syndrome(OSAS), 39 simple snorers(simple snorers) and 20 controls(control) had cephalometric analysis using the technique of Riley et al, and underwent standardized polysomnographic recordings. Different variables, including sex, body mass index, cephalometric and polysomnographic data, were statistically analyzed. Results: Pm-UPW and V-LPW distances were significantly shorter in OSAS when compared with simple snorers or control. PAS in simple snorers was shorter than in control. ANS-Gn distance in OSAS was significantly longer than in control. PNS-P distance in OSAS or simple snorers was significantly longer than in control. MP-H distance in OSAS was significantly longer than in simple snorers or control and MP-H distance in simple snorers was also longer than in control. NL/Pm-P angle in OSAS was lesser than in control. MP-H distance in OSAS or in the combined groups of OSAS and simple snorers was significantly correlated with apneahypopnea index(AHI). PNS-P distance in the combined groups of OSAS and simple snorers was correlated with AHI. In male of all subjects, body mass index was significantly correlated with PNS-P or MP-H distance. Conclusion: Cephalometric analysis can be useful tool in determining the craniofacial anatomic abnormalities in patients with obstructive sleep apnea syndrome. Cephalometric parameters, especially MP-H distance, can be useful for predicting frequency of narrowing or obstruction of upper airway during sleep.

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The Effects of Acupuncture(ST36. LI4) on the Colonic Transit Time in Chronic Constipation Patients

  • Lee Un Jung;Kim Dong Woung
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.17 no.1
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    • pp.251-257
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    • 2003
  • Background and Purpose : We were to investigate whether simple and electric acupuncture can affect the colonic transit time in both normal persons and chronic constipation patients. Methods: Twenty one volunteers were divided into two groups; first, normal control group(N=12) who had normal defecation habits, second, chronic constipation group(N=13). Before acupuncture, colonic transit time was checked using radio-opaque markers. Then simple acupuncture was done at four acupoints(both ST36, LI4) and maintained for 15 minutes during 4 days. Electric acupuncture was done using same methods except for applying 2Hz electrical stimulation. Result : In the normal group, after simple acupuncture, each transit time in the total, right, left was not changed statistic significance compared to pre-acupuncture(P>0.05), but which of rectosigmoid colon shortened statistic significance(P<0.05). After Electric acupuncture, transit time of right colon was shortened(P<0.05), and extended(P>0.05) in rectosigmoid colon compared to pre-acupuncture and simple acupuncture. In constipation group, after simple acupuncture, only rectosigmoid colonic transit time shortened statistic significance compared to pre-acupuncture(P<0.05). After electric acupuncture, also the transit time of rectosigmoid colon was shortened statistic significance compared to pre-acupuncture(P<0.05), but not to simple acupuncture(P>0.05). Conclusion : In normal persons without constipation, acupuncture affect the colonic transit time differently to the methods of it. In chronic constipation group, simple and electric acupuncture only reduces the rectosigmoid colonic transit time statistically significant(P<0.05).

CHARACTERIZING THE MINIMALITY AND MAXIMALITY OF ORDERED LATERAL IDEALS IN ORDERED TERNARY SEMIGROUPS

  • Iampan, Aiyared
    • Journal of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.775-784
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    • 2009
  • In 1932, Lehmer [4] gave the definition of a ternary semigroup. We can see that any semigroup can be reduced to a ternary semigroup. In this paper, we give some auxiliary results which are also necessary for our considerations and characterize the relationship between the (0-)minimal and maximal ordered lateral ideals and the lateral simple and lateral 0-simple ordered ternary semigroups analogous to the characterizations of minimal and maximal left ideals in ordered semigroups considered by Cao and Xu [2].

REPRESENTATIONS OVER GREEN ALGEBRAS OF WEAK HOPF ALGEBRAS BASED ON TAFT ALGEBRAS

  • Liufeng Cao
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1687-1695
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    • 2023
  • In this paper, we study the Green ring r(𝔴0n) of the weak Hopf algebra 𝔴0n based on Taft Hopf algebra Hn(q). Let R(𝔴0n) := r(𝔴0n) ⊗ ℂ be the Green algebra corresponding to the Green ring r(𝔴0n). We first determine all finite dimensional simple modules of the Green algebra R(𝔴0n), which is based on the observations of the roots of the generating relations associated with the Green ring r(𝔴0n). Then we show that the nilpotent elements in r(𝔴0n) can be written as a sum of finite dimensional indecomposable projective 𝔴0n-modules. The Jacobson radical J(r(𝔴0n)) of r(𝔴0n) is a principal ideal, and its rank equals n - 1. Furthermore, we classify all finite dimensional non-simple indecomposable R(𝔴0n)-modules. It turns out that R(𝔴0n) has n2 - n + 2 simple modules of dimension 1, and n non-simple indecomposable modules of dimension 2.

Influence of Two Moving Masses on Dynamic Behavior of a Simple Beam (두 이동질량이 단순보의 동특성에 미치는 영향)

  • Yoon, H.I.;Choi, C.S.;Im, S.H.
    • Journal of Power System Engineering
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    • v.4 no.4
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    • pp.70-77
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    • 2000
  • On the dynamic behavior of a simple beam the influences of the velocities and distance of two moving masses have been studied by numerical method. The instant amplitude of a simple beam is calculated and analyzed for each position of the moving masses represented by the time functions. As increasing the velocties of two moving masses on the simple beam, the amplitude of the transverse vibration of the simple beam is decreased and the frequency of the transverse vibration of the simple beam is increased. As the distance between two moving masses increase, the transverse displacement of the simple beam is decrease. The simple beam is very stable in second mode at $\bar{a}=0.5$ and in third mode at $\bar{a}=0.3$.

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Correlation among Functional Leg Length Discrepancy, Muscle Activity, Muscle Contraction Onset Time and Vertical Ground Reaction Force during Simple Lifting Task

  • Jin, Ha Young;Han, Jin Tae
    • The Journal of Korean Physical Therapy
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    • v.34 no.4
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    • pp.175-180
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    • 2022
  • Purpose: Leg length discrepancy causes the posture deformation, gait asymmetry, and lower back pain. The purpose of this study is to investigate the correlation among functional leg length discrepancy (FLLD), muscle activity, muscle contraction onset time and vertical ground reaction force (vGRF) during simple lifting task. Methods: Thirty-nine subjects participated in this study. FLLD was measured from the umbilicus to medial malleolus of left and right leg using a tape. The subjects performed to lift a 10 kg box from the floor to chest. The muscle activity and muscle contraction onset time of rectus abdominis, erector spinae and rectus femoris was measured using EMG system and vGRF was measured by two force plate. Pearson correlation was used to fine out the correlation among FDDL, muscle activity, muscle contraction onset time and vGRF during simple lifting task. Results: Correlation between FLLD and difference of muscle activity of short-long side was very high (r>0.9) during simple lifting task. Correlation between FLLD and difference of muscle contraction onset time of short-long side was very high (r>0.9) during simple lifting task. And correlation between FLLD and difference of vGRF of short-long side was high (r>0.7) during simple lifting task. Conclusion: This study suggests that there is high correlation between FLLD and muscle activity, muscle contraction onset time, and ground reaction force during simple lifting task. Therefore, FLLD could negatively affect the postural balance.

Corn Particle Size Affects Nutritional Value of Simple and Complex Diets for Nursery Pigs and Broiler Chicks

  • Kim, I.H.;Hancock, J.D.;Hong, J.W.;Cabrera, M.R.;Hines, R.H.;Behnke, K.C.
    • Asian-Australasian Journal of Animal Sciences
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    • v.15 no.6
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    • pp.872-877
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    • 2002
  • Two experiments were conducted to determine the effects of reducing particle size of corn from 1,000 to 500 ${\mu}m$ in simple and complex diets for nursery pigs and broiler chicks. In Exp 1., 192 nursery pigs were used in a 24 d growth assay. Treatments were: 1) 1,000 ${\mu}m$ corn in a simple diet; 2) 500 ${\mu}m$ corn in a simple diet; 3) 1,000 ${\mu}m$ corn in a complex diet; and 4) 500 ${\mu}m$ corn in a complex diet. Overall, pigs fed complex diets had 9% greater ADG (p<0.005) and 5% greater gain/feed (p<0.01) compared to pigs fed simple diets. Also, pigs fed the 500 ${\mu}m$ treatments had 3% better overall gain/feed than those fed the 1,000 ${\mu}m$ treatments (p<0.007). At d 9, apparent digestibilities of DM, N and GE were greater for complex diets and diets with smaller particle size (p<0.02). At d 23, there were no differences in nutrient digestibility resulting from diet complexity, but pigs fed diets with corn ground to 500 ${\mu}m$ had greater digestibility of DM (p<0.02) and GE (p<0.003) than pigs fed diets with corn ground to 1,000 ${\mu}m$. A second experiment was designed to determine if four days old broiler chicks were an acceptable model for predicting the effects of feed processing procedures on nursery pigs. Chicks fed complex diets had 3% greater gain/feed than chicks fed simple diets (p<0.001). Rate of gain and feed intake were improved by 3 and 2%, respectively, for chicks fed crumbled diets (p<0.03). However, there were several significant interactions among the main effects. For instance, crumbling did not affect gain/feed in chicks fed complex diets, but rate of gain and feed intake were increased by 7 and 6%, respectively, when simple diets were crumbled (diet complexity${\times}$diet form, p<0.001). Also, gain/feed of chicks was improved by 3% when particle size was reduced in meal diets, but not affected in chicks fed crumbles (diet form${\times}$particle size, p<0.005). Thus, our data suggested that reduction of particle size of corn was important for simple and complex diets and that a complex diet with 1,000 ${\mu}m$ corn gave no better performance than a simple diet with 500 ${\mu}m$ corn.