• Journal of the Semiconductor & Display Technology
• /
• v.14 no.4
• /
• pp.1-7
• /
• 2015

People are always pursuing the aesthetic feeling relentlessly. But some people have such problems with their hairs like alopecia, cancer chemotherapy, burns, and scalp injury. So the synthetic hair has played a very important role to make up for these deficiencies. But long term use can lead to adverse reactions or uncomfortable feeling. This is primarily caused by its properties differ with human hair. In particular, nanotribological characterizations (roughness, friction force and adhesive force) of synthetic hair surface are dissatisfy with the needs of normal hairs. This paper presents the experiments on nanotribological characterizations measurements of human hairs (coloring hair, permed hair and common hair) in shampooing condition or without shampooing condition. Using atomic force microscopy (AFM) to find out a range of synthetic hair nanotribological characterizations which can correspond with natural hair. The measurements of nanotribological characterizations focus on surface roughness, friction force and adhesive force, and a new design of AFM probe was used for measuring the nanotribological characterizations.

• Communications of the Korean Mathematical Society
• /
• v.27 no.4
• /
• pp.835-842
• /
• 2012

Many researchers have studied the characterizations of probability distributions based on record values. It appears from literature that not much attention has been paid to the characterizations of the Pareto distribution. In this note, some new results on the characterizations of the Pareto distribution by upper record values have been established.

• Journal of applied mathematics & informatics
• /
• v.36 no.5_6
• /
• pp.429-433
• /
• 2018

In this paper, we obtain characterizations of the inverse Weibull distribution based on ratios of lower record values by the property of independence. Main Facts.

• East Asian mathematical journal
• /
• v.18 no.1
• /
• pp.155-162
• /
• 2002

Lajos([1-3]) gave the ideal-theoretical characterizations of some classes of semigroups without "order". The first author([4]) gave the ideal-theoretical characterization of some classes of po-semigroup with order $"{\leq}"$. In this paper we give the other characterizations.

• Bulletin of the Korean Mathematical Society
• /
• v.49 no.1
• /
• pp.89-98
• /
• 2012

In this paper we obtain some new characterizations of Besov spaces on the unit ball of $\mathbb{C}^n$. These characterizations are also completely new even in the settings of the unit disk.

• Journal of applied mathematics & informatics
• /
• v.17 no.1_2_3
• /
• pp.671-678
• /
• 2005

In this paper we shall give some characterizations of strongly cyclic and totally reachable (TR) automata when A = (M, X, $\delta$) is MinCR-automaton. Also we shall see that if an automaton A is strongly cyclic, then A is cyclic and a TR-automaton. When A is MinmaxCR-automaton, we shall give another characterizations for a strongly cyclic and cyclic TR-automaton.

• Journal of the Korean Mathematical Society
• /
• v.39 no.2
• /
• pp.163-191
• /
• 2002

We introduce Clapp-Puppe type generalized Lusternik-Schnirelmann (co)category in a Quillen model category. We establish some of their basic properties and give various characterizations of them. As the first application of these characterizations, we show that our generalized (co)category is invariant under Quillen modelization equivalences. In particular, generalized (co)category is invariant under Quillen modelization equivalences. In particular, generalized (co)category of spaces and simplicial sets coincide. Another application of these characterizations is to define and study rational cocategory. Various other applications are also given.

• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.2
• /
• pp.243-247
• /
• 2014

Let {$X_n$, $n{\geq}1$} be a sequence of i.i.d. random variables with absolutely continuous cumulative distribution function(cdf) F(x) and the corresponding probability density function(pdf) f(x). In this paper, we give characterizations of Pareto and Weibull distribution by considering conditional expectations of record values.

• Communications of the Korean Mathematical Society
• /
• v.31 no.2
• /
• pp.379-388
• /
• 2016

In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space $E^3$. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.4
• /
• pp.1277-1288
• /
• 2013

Wulan and Zhu [16] have characterized the weighted Bergman space in the setting of the unit ball of $C^n$ in terms of Lipschitz type conditions in three different metrics. In this paper, we study characterizations of the harmonic Bergman space on the upper half-space in $R^n$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range 0 < p < ${\infty}$. In addition, we provide the application of characterizations to showing the boundedness of a mapping defined by a difference quotient of harmonic function.