• Korean Journal of Mathematics
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• v.29 no.3
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• pp.501-510
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• 2021

A uniform study towards normality is provided for topological spaces. Following Császár, 𝛄-normality and 𝛄(𝜃)-normality are introduced and investigated. For 𝛄 ∈ 𝚪₁₃, 𝛄-normality is found to satisfy Urysohn's lemma and provide partition of unity. Several existing variants of normality such as 𝜃-normality, 𝚫-normality etc. are shown to be particular cases of 𝛄(𝜃)-normality. In this process, 𝛄-regularity and 𝛄(𝜃)-regularity are introduced and studied. Several important characterizations of all these notions are provided.

• East Asian mathematical journal
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• v.38 no.3
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• pp.347-355
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• 2022

For a nondegenerate projective variety, it is a classical problem to study its defining equations with respect to a given embedding. In this paper, we precisely determine minimal sets of generators of the defining ideals of some curves of maximal regularity in ℙ⁵.

• Journal of applied mathematics & informatics
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• v.41 no.6
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• pp.1173-1180
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• 2023

In this paper, rings in which essential maximal right ideals are GP-injective are studied. Whether the rings with this condition satisfy von Neumann regularity is the goal of this study. The obtained research results are twofold: First, it was shown that this regularity holds even when the reduced ring is replaced with π-IFP and NI-ring. Second, it was shown that this regularity also holds even when the maximal right ideal is changed to GW-ideal. This can be interpreted as an extension of the existing results.

• The Journal of Korean Obstetrics and Gynecology
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• v.24 no.3
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• pp.73-84
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• 2011

Objectives: This study examined the recent update of factors affect length and regularity of menstrual cycle and symptoms need for diagnosis in oriental medicine. Methods: For factors, we searched the key word "menstrual cycle length and factor" in ScienceDirect(http://www.sciencedirect.com) and we mainly searched symptoms in the journal of oriental obstetrics & gynecology and text. Results: The result are shown in the Table 1-3. Conclusion: In fact as the fluctuation of menstrual cycle length and regularity is very high in healthy women, we must observe the factor affect menstrual cycle with attention even though rule out disease, operation and HRT etc. these researches show potential to compound oriental medicine care and factor of menstrual cycle change.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.4
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• pp.777-787
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• 2009

In this paper we investigate the upper bound on the Castelnuovo-Mumford regularity of a graded module with linear free presentation. Let M be a finitely generated graded module over a polynomial ring R with zero dimensional support. We prove that if M is generated by elements of degree $d{\geq}0$ with a linear free presentation $$\bigoplus^p{R}(-d-1)\longrightarrow^{\phi}\bigoplus^q{R}(-d){\longrightarrow}M{\longrightarrow}0$$, then the Castelnuovo-Mumford regularity of M is at most d+q-1. As an important application, we can prove vector bundle technique, which was used in [11], [13], [17] as a tool for obtaining several remarkable results.

• MALSORI
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• no.53
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• pp.61-74
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• 2005

In the present study, the intelligibility of the synthesized speech sounds was evaluated by using the psycholinguistic and fMRI techniques. In order to see the difference in recognizing words between the natural and synthesized speech sounds, word regularity and word frequency were varied. The results of Experiment1 and Experiment2 showed that the intelligibility difference of the synthesized speech comes from word regularity. In the case of the synthesized speech, the regular words were recognized slower than the irregular words, and there was smaller activation of the auditory areas in brain for the regular words than for the irregular words.

• Journal of the Korean Mathematical Society
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• v.53 no.5
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• pp.1019-1036
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• 2016

In this paper, we study the existence of solutions and $L^2$-regularity for fractional order retarded neutral functional differential equations in Hilbert spaces. We no longer require the compactness of structural operators to prove the existence of continuous solutions of the non-linear differential system, but instead we investigate the relation between the regularity of solutions of fractional order retarded neutral functional differential systems with unbounded principal operators and that of its corresponding linear system excluded by the nonlinear term. Finally, we give a simple example to which our main result can be applied.

• Women's Health Nursing
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• v.6 no.4
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• pp.566-578
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• 2000

This study was conducted to ascertain infant's sleep and feeding patterns for the purpose of building up the positive parent-child relationship and setting up a preliminary parenting education program. The subjects were 16 infants who were cared for in their houses. The data was collected using NCASA developed by Barnard et al. from October 1st to December 3lth, 1999. The analysis of data was done with SPSSWIN for descriptive statistics and t-test, ANOVA, Correlation Analysis. The result were as follows: 1. The average day sleep of the infant was 9.51 hours, night sleep was 6.27 hours, and total sleep was 15.84 hours. The longest period of day sleep was 3.02 hours, and the longest period of night sleep was 3.72 hours. The regularity of day sleep was 34.78%, night sleep was 61.72% and total was 43.76%. 2. The frequency of daytime feeding was 5.13 times, nighttime was 2.44 times and total was 7.38 times. The regularity of feeding was 52.14%. 3. In the correlation between sleep and feeding patterns, night sleep was negatively correlated with feeding method(r=-.52, P<0.05), the longest period of day sleep was negatively correlated with feeding method(r=-.73, P<0.001), feeding frequency(r=-.60, P<0.05), the regularity of feeding(r=-.70, P<0.001). The longest period of night sleep was negatively correlated with feeding frequency (r=-.53, P<0.05). Feeding method was positively correlated with feeding frequency(r=.71, P<0.001), the regularity of feeding(r=.57, P<0.05). Day sleep was positively correlated with total sleep(r=.93, P<0.001), the regularity of total sleep was positively correlated with the longest period of day sleep(r=.54, P<0.05), total sleep(r=.65, P<0.001). The regularity of feeding was positively correlated with feeding method(r=.57, P<0.05), total feeding frequency(r=.50, P<0.05), the frequency of daytime feeding(r=.61, P<0.05). Feeding method was positively correlated with total feeding frequency(r=.71, P<0.001). In conclusion, the study showed that infants slept more in the nighttime than in the daytime, but after 3 months the pattern changed and showed that nighttime sleep was increased. Also the regularity of night sleep was increased with the infant's age. Total feeding frequency was decreased with the infant's age, and the regularity of feeding was increased in infants who slept shorter periods in the daytime than in the nighttime.

• Journal of Digital Convergence
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• v.14 no.6
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• pp.237-244
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• 2016

The purpose of this study examines the influence of anchoring and adjustment according to regularity of snack's shape. Especially this study choose 'choco chip' as a snack with regularity to compare with 2012's study. The results of this study are as follows. 1) The anchoring and adjustment also appears in 'choco chip' with regularity. But statistical meaning is different from the result of prior study. 2) The difference of anchoring effect reduced according to additional verbal information in 'choco chip' with regularity. but has no statistical meaning of interaction effect. However the causes of two results are different. 3) The interaction effect of cognitive load(without vs. moderate vs. high) is meaningful statistically. difference of anchoring effect reduced according to additional verbal information in 'choco chip' with regularity in 'choco chip' with regularity. This study provides strategic implication that it overcomes the limitation of the prior resuarch and may reinforce the biased judgement by cognitive overload.

• Honam Mathematical Journal
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• v.38 no.2
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• pp.317-323
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• 2016

In this paper, we show that for every $N{\in}\mathbb{N}$, isometric N-Jordan operators on Hilbert spaces are power regular. Moreover, the only normaloid or 2-isometric, N-Jordan operators are isometries.