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KNOTOIDS, PSEUDO KNOTOIDS, BRAIDOIDS AND PSEUDO BRAIDOIDS ON THE TORUS

  • Diamantis, Ioannis
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1221-1248
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    • 2022
  • In this paper we study the theory of knotoids and braidoids and the theory of pseudo knotoids and pseudo braidoids on the torus T. In particular, we introduce the notion of mixed knotoids in S2, that generalizes the notion of mixed links in S3, and we present an isotopy theorem for mixed knotoids. We then generalize the Kauffman bracket polynomial, <; >, for mixed knotoids and we present a state sum formula for <; >. We also introduce the notion of mixed pseudo knotoids, that is, multi-knotoids on two components with some missing crossing information. More precisely, we present an isotopy theorem for mixed pseudo knotoids and we extend the Kauffman bracket polynomial for pseudo mixed knotoids. Finally, we introduce the theories of mixed braidoids and mixed pseudo braidoids as counterpart theories of mixed knotoids and mixed pseudo knotoids, respectively. With the use of the L-moves, that we also introduce here for mixed braidoid equivalence, we formulate and prove the analogue of the Alexander and the Markov theorems for mixed knotoids. We also formulate and prove the analogue of the Alexander theorem for mixed pseudo knotoids.

MIXED BRIGHTNESS-INTEGRALS OF CONVEX BODIES

  • Li, Ni;Zhu, Baocheng
    • Journal of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.935-945
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    • 2010
  • The mixed width-integrals of convex bodies are defined by E. Lutwak. In this paper, the mixed brightness-integrals of convex bodies are defined. An inequality is established for the mixed brightness-integrals analogous to the Fenchel-Aleksandrov inequality for the mixed volumes. An isoperimetric inequality (involving the mixed brightness-integrals) is presented which generalizes an inequality recently obtained by Chakerian and Heil. Strengthened version of this general inequality is obtained by introducing indexed mixed brightness-integrals.

Interval Estimation in Mixed Model by Use of PROC MIXED (PROC MIXED를 활용한 혼합모형의 신뢰구간추정)

  • Park Dong-Joon
    • The Korean Journal of Applied Statistics
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    • v.19 no.2
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    • pp.349-360
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    • 2006
  • PROC MIXED in SAS can be utilized to make inferences on parameters in a mixed model by use of Restricted Maximum Likelihood Estimation Method or Maximum Likelihood Estimation Method which has more merits than ANOVA method. A regression model with unbalanced nested error structure that belongs to a mixed model is used to construct confidence intervals on variances among groups, within groups, and regression coefficients in the model. PROC MIXED is applied to three different sample sizes for simulation. As a result of the simulation study, PROC MIXED generates confidence intervals on parameters that maintain the stated confidence coefficient in a large sample size. However, it does not generate confidence intervals that maintain the stated confidence coefficient for variance components among groups and intercept in a small sample size.

A Study on the An Acade of Mixed-Use Building - Focused on the A user form of Mixed-Use Building - (주상복합 주거단지의 상가시설 실내계획에 관한 연구 - 주상복합 상가시설의 이용자 패턴을 중심으로 -)

  • Roh, Yeon-Soo;Lee, Hyen-Hee
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2006.11a
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    • pp.165-169
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    • 2006
  • Here this Study is purposed Importance of an arcade in Mixed - Use Building. Because Mixed - Use Building ha)'e problem In korea. So Solution the Community of Mixed - Use Building a Housing development. An Acade of Mixed-use Building have a good point that is carrier Space. The Process of this Study 1) A study on the Mixed-Use Building Form and a user form in theory. 2) Condolence about Mixed-used Building of three type in kyungki and seoul ( Lotte Castle In Jamsil Seoul, park view In SungNam kyungki, Dong- Yang Paragon in SungNam kyungki) 3) analysis by theory of Mixed-Use Building Form and a user form about Mixed-Use Building 4) As a result of as being Comparison three building develop.

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Characteristics of $CO_2$ Laser Cladding with High Viscosity Mixed Powder (용제와 혼합한 금속분말의 $CO_2$ 레이저 클래딩 특성)

  • 김재도;전병철;이영곤;오동수
    • Journal of Welding and Joining
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    • v.19 no.5
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    • pp.481-485
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    • 2001
  • Laser cladding processing allows rapid transfer of heat to the material being processed with minimum conduction into base metal. The effect of $CO_2$ laser cladding with high viscosity mixed powders was investigated. High viscosity mixed powder consists of bronze powder and flux that is used at a high temperature condition. The mixed powder has a high viscosity that it can be easily pasted over a curved or slope substrate. The device for mixed powder was designed and manufactured. It consists of the high viscosity mixed powder feeding system, the preheating system and the shielding gas system which prevents the clad layer from being oxidized. The results of experiment indicated that the feed rate of high viscosity mixed powder was important for later cladding with mixed powder feeding. The high viscosity mixed powder and substrate must be preheated to prevent porosity from breaking at the clad layer. The experimental result shows that the high viscosity mixed can be applied for laser cladding process.

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Effect of Mixing Time of Pre-Mixed Cement and Post-Mixed Cement on the Strength Development of the Concrete (프리믹스 및 포스트믹스 시멘트를 혼입시간이 콘크리트의 압축강도에 미치는 영향)

  • Baek, Sung-Jin;Lee, Hyeok;Han, Jun-Hui;Kim, Jong;Han, Min-Cheol
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2023.05a
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    • pp.137-138
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    • 2023
  • This study proposed the optimal mixing time for pre-mixed cement and post mixed cement using the statistical analysis method of box plots. Pre-mixed cement can prevent material seegregation, strength loss, and quality variation if mixed for at least 60 seconds, and the data median is shown to be within the box range. Post-mixed cement should be mixed for at least 180 seconds to prevent material segregation, strength loss, and quality variation, and compressive strength tends to increase with longer vibrating times. Therefore, it is suggested that using pre-mixed cement can shorten the vibrating time and increase the productivity of the concrete.

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MIXED CHORD-INTEGRALS OF STAR BODIES

  • Fenghong, Lu
    • Journal of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.277-288
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    • 2010
  • The mixed chord-integrals are defined. The Fenchel-Aleksandrov inequality and a general isoperimetric inequality for the mixed chordintegrals are established. Furthermore, the dual general Bieberbach inequality is presented. As an application of the dual form, a Brunn-Minkowski type inequality for mixed intersection bodies is given.

Misleading Confidence Interval for Sum of Variances Calculated by PROC MIXED of SAS (PROC MIXED가 제시하는 분산의 합의 신뢰구간의 문제점)

  • 박동준
    • The Korean Journal of Applied Statistics
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    • v.17 no.1
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    • pp.145-151
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    • 2004
  • PROC MIXED fits a variety of mixed models to data and enables one to use these fitted models to make statistical inferences about the data. However, the simulation study in this article shows that PROC MIXED using REML estimators provides one with a confidence interval, that does not keep the stated confidence coefficients, on sums of two variance components in the simple regression model with unbalanced nested error structure which is a mixed model.

Mixed Products: How Adding Different Attributes Influences Consumer Perceptions and Product Evaluation

  • Yi, Youjae;Muhn, Sunhee
    • Asia Marketing Journal
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    • v.15 no.1
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    • pp.83-105
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    • 2013
  • During recent decades, the number of mixed attribute products (henceforth mixed products), which have both utilitarian and hedonic benefits, has increased dramatically. Despite these products' growing popularity, academic research has paid little attention to them, and there remains a gap between theory and the real world. Hence, our study was undertaken to understand consumers' perceptions about and behaviors toward mixed products, as well as factors affecting the evaluation and choice of these products. We divided mixed attribute products into two categories: mixed utilitarian products (utilitarian products adding hedonic attributes) and mixed hedonic products (hedonic products adding utilitarian attributes). We then showed how adding different attributes affects consumers' perception, willingness to pay (WTP), and the choice of mixed attribute products compared to pure utilitarian or pure hedonic products. We conducted an experiment using a within-subject design. A total of 160 office workers and college students participated in the study. The pure utilitarian product used in the study was orange juice, and the mixed utilitarian product was carbonated orange juice. The pure hedonic product was chocolate, and the mixed hedonic product was polyphenol enriched chocolate. Results showed that consumers perceived a mixed utilitarian product to be less utilitarian, less pleasurable and more guilty than a pure utilitarian product. On the other hand, a mixed hedonic product was perceived to be more utilitarian, less pleasurable and less guilty than a pure hedonic product. Also, WTP for a mixed hedonic product was higher than WTP for a pure hedonic product, but WTP was lower for a mixed utilitarian product than for a pure utilitarian product. Furthermore, mixed hedonic products were likely to be evaluated more favorably when they were presented together with pure hedonic products, more so than when they were presented alone. Finally, when compared to low self-control participants, high self-control participants chose mixed hedonic products more frequently. The present study contributes to the existing literature on utilitarian and hedonic consumption by adding to the sparse literature on the consumption of products that have both utilitarian and hedonic purposes. Also, our research findings provide several useful implications for practitioners in related fields. First, the current study provides marketers with a useful guide for understanding consumers' perceptions of these types of products, and helps to predict how adding different attributes influences these products. Second, this study has examined the conditions that may moderate the evaluation and choice of hedonic base products and this finding will serve as a good reference for marketers of mixed hedonic products in marketing communication strategy, in-store marketing and targeting. Specifically, comparative advertising with a pure hedonic product will be beneficial for a mixed hedonic product. Also, displaying mixed hedonic products near pure hedonic products may enhance the effectiveness of in-store marketing of mixed hedonic products.

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The Evaluation of Physical Properties and Hand of Bast/Man-Made Fiber Mixed Fabrics (마와 인조섬유 교직물의 물성 및 평가)

  • 김순심;양진숙;최종명
    • Journal of the Korean Society of Clothing and Textiles
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    • v.24 no.6
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    • pp.828-837
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    • 2000
  • The purpose of this study was to evaluate the physical properties and the hand of bast/man made fiber mixed fabrics compared to linen. The mixed fabrics were made by rayon, polyester and modal fiber as warp yarn, and ramie, flax, rayon/flax and cotton/flax as weft yarn. The crease resistance, drape, tensile strength/extension, water absorbancy and warmth retention were measured for test fabrics. The mechanical properties were measured by Kawabata system, and the hand value was calculated by previously developed equation. The results obtained from this study were as follows: The crease resistance and drape properties of bast/man made fiber mixed fabrics were improved compared to those of linen. The tensile strength of polyester/bast fiber mixed fabrics increased compared to those of linen, but rayon/bast and modal/bast fiber mired fabrics decreased. The extension of all mixed fabrics was increased compared to that of linen. The rayon/ramie and modal/ramie mixed fabrics showed lower warmth retention than linen. The mixed fabrics used rayon and modal as warp yarn showed higher water absorbancy than linen. The Koshi and Hari hand value of all mixed fabrics showed lower than those of linen. Fukurami hand value showed little difference between mixed fabrics and linen. Shari, Kishimi, and Shinayakasa hand value of rayon/bast and modal/bast fiber mixed fabrics showed higher than those of linen.

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