• The Pure and Applied Mathematics
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• v.23 no.4
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• pp.347-375
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• 2016

Let R be a 3!-torsion free noncommutative semiprime ring, U a Lie ideal of R, and let $D:R{\rightarrow}R$ be a Jordan derivation. If [D(x), x]D(x) = 0 for all $x{\in}U$, then D(x)[D(x), x]y - yD(x)[D(x), x] = 0 for all $x,y{\in}U$. And also, if D(x)[D(x), x] = 0 for all $x{\in}U$, then [D(x), x]D(x)y - y[D(x), x]D(x) = 0 for all $x,y{\in}U$. And we shall give their applications in Banach algebras.

• The Journal of the Korean life insurance medical association
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• v.4 no.1
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• pp.101-109
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• 1987

The present study was undertaken to establish the standard body weight by height in Korean adults by using the actually measured heights and weights of a total of 5,496 insured persons who were examined medically at the Honam Medical Room of Dong Bang Life Insurance Company, Ltd. from January, 1983 to January, 1986. The results were as follows: 1. The linear regression equations to establish the standard body weight of Korean adults were as follows: In male, for $18{\sim}19$ age group, $y=7.272{\times}10^{-6}{\times}x^3+23.560$ for $20{\sim}29$ age group, $y=8.187{\times}10^{-6}{\times}x^3+22.031$ for $30{\sim}39$ age group, $y=8.627{\times}10^{-6}{\times}x^3+23.169$ for $40{\sim}49$ age group, $y=9.561{\times}10^{-6}{\times}x^3+20.994$ and for $50{\sim}59$ age group, $y=8.604{\times}10^{-6}{\times}x^3+23.801$ In female, for $18{\sim}19$ age group, $y=8.252{\times}10^{-6}{\times}x^3+18.920$ for $20{\sim}29$ age group, $y=7.715{\times}10^{-6}{\times}x^3+22.409$ for $30{\sim}39$ age group, $y=8.808{\times}10^{-6}{\times}x^3+21.439$ for $40{\sim}49$ age group, $y=9.691{\times}10^{-6}{\times}x^3+21.940$ and for $50{\sim}59$ age group, $y=12.500{\times}10^{-6}{\times}x^3+11.031$ 2. The standard age, height, and weight tables by author were presented with the aid of linear regression equations. 3. The values of standard body weight by height established by author reveal to be a little higher than those of other Korean reports through all age groups of both sexes, and reveal to be considerably similar, compared with those of the reports in Japan for fourth and sixth decade of female group.

• Journal of the Korean Magnetics Society
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• v.5 no.5
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• pp.487-490
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• 1995

With the object of developing a new magnetic core materials for high frequency use, the crystallization behaviors and the soft magnetic properties of amorphous $F_{86-x}Al_{4}B_{10}Zr_{x}\;(5{\leq}x{\leq}10\;at%)$ alloys subjected to annealing treatment at wide temperature range were investigated. For optimally annealed $Fe_{86-x}Al_{4}B_{10}Zr_{x}$ alloys in amorphous state, rather good soft magnetic properties of ${\mu}_{e}=17000~25000,\;H_{c}=20~30$ mOe and $B_{10}{\geq}0.6$ T are obtained. However, as the alloys crystallize, the soft magnetic properties are largely dergely deteriorated, which is attributed principally to the narrow temperature gap between $T_{x1}$ and $T_{x2}$, which allows the nearly co-precipitation of bcc phase and Fe-B compounds in incipient crystallization stage.

• Journal of applied mathematics & informatics
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• v.32 no.5_6
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• pp.599-607
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• 2014

In this paper, we investigate the behavior of solutions of the difference equation $$x_{n+1}=\frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}},\;n=0,1,2,{\ldots}$$ where $k{\in}\{1,2\}$, $a{\geq}0$, and $x_{-j}$ > 0, $j=0,1,{\ldots},k$.

• Honam Mathematical Journal
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• v.29 no.4
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• pp.535-542
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• 2007

In this paper, for each natural number n, we construct a polynomial $p_n$(x) of degree n so that $p_n(x)\;\leq\;p_{n+1}(x)\;\leq\;e^x$ for $x\;\geq\;-1$. These polynomials are optimal in the sense that if p(x) is a polynomial of degree n with $p_{n-l}(x)\;\leq\;p(x)\;\leq\;e^x$, then $p(x)\;\leq\;p_n(x)$.

• Communications of the Korean Mathematical Society
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• v.18 no.4
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• pp.603-613
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• 2003

When X is a threefold of general type, it is well known h/sup 0/(X, O/sub X/(nK/sub X/)) ≥ 1 for a sufficiently large n. When X(O/sub X/) 〉 0, it is not easy to obtain such an integer n. A. R. Fletcher showed that h/sup 0/(X, O/sub X/(nK/sub X/)) ≥ 1 for n = 12 when X(O/sub X/)=1. We introduce a technique different from A. R. Fletcher's. Using this technique, we also prove the same result as he showed and have a new result.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.3
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• pp.609-616
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• 2011

Observing that $vX{\times}vY$ is a Wallman realcompactification of $X{\times}Y$ if $v(X{\times}vY)=vX{\times}vY$, we show that $v(X{\times}Y)=vX{\times}vY$ if and only if $X{\times}Y$ is z-embedded in $vX{\times}vY$ and $vX{\times}vY$ is a Wallman compactification of $X{\times}Y$.

• Bulletin of the Korean Mathematical Society
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• v.60 no.3
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• pp.733-746
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• 2023

Let (X, d) be a semimetric space. A permutation Φ of the set X is a combinatorial self similarity of (X, d) if there is a bijective function f : d(X × X) → d(X × X) such that d(x, y) = f(d(Φ(x), Φ(y))) for all x, y ∈ X. We describe the set of all semimetrics ρ on an arbitrary nonempty set Y for which every permutation of Y is a combinatorial self similarity of (Y, ρ).

• Journal of the Korean Magnetics Society
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• v.2 no.3
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• pp.239-243
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• 1992

It has been found that B is very effective for the increase of magnetization and Curie temperature in $NdFe_{11}TiN_x$-type compounds having $ThMN_{12}$-type structure. Experimental results have shown that magnetization and Curie temperature of $NdFe_{10.7}TiB_{0.3}N_x$ are 148 $Am^2$/kg and $560^{\circ}C,$ respectively, by about 20 $Am^2$/kg and $90^{\circ}C$ higher than those of $NdFe_{10.7}Ti_{1.3}N_x.$ On the other hand, Mo is effective for the increase of anisotropy field, and it seems to strongly inhibit the formation of ${\alpha}-Fe$ phase during the nitrification treatement. The anisotropy field of $NdFe_{10.7}TiMo_{0.3}N_x$ is about 7960 kA/m (100 kOe) which is about 1590 kA/m (20 kOe) higher than that of $NdFe_{10.7}Ti_{1.3}N_x$.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.4
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• pp.531-542
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• 2016

Let R be a 3!-torsion free noncommutative semiprime ring, and suppose there exists a Jordan derivation $D:R{\rightarrow}R$ such that [[D(x),x], x]D(x) = 0 or D(x)[[D(x), x], x] = 0 for all $x{\in}R$. In this case we have $[D(x),x]^3=0$ for all $x{\in}R$. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation $D:A{\rightarrow}A$ such that $[[D(x),x],x]D(x){\in}rad(A)$ or $D(x)[[D(x),x],x]{\in}rad(A)$ for all $x{\in}A$. In this case, we show that $D(A){\subseteq}rad(A)$.