• Kyungpook Mathematical Journal
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• v.50 no.4
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• pp.473-482
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• 2010

In the present paper we define a q-extension of the Leibniz rule for q-derivatives via Weyl type q-derivative operator. Expansions and summation formulae for the generalized basic hypergeometric functions of one and more variables are deduced as the applications of the main result.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.58 no.1
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• pp.50-56
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• 2013

For accurate analysis of low molecular peptides using SELDI-TOF MS (surface enhanced laser desorption/ionization time of flight mass spectrometry), the optimized analytical conditions should be established for a specific biological sample. This study was conducted to optimize SELDI-TOF MS analytical conditions for profiling low molecular peptide below 10 kDa presented in sorghum seeds. Analytical conditions were as follows; (1) protein chips: CM10 (weak cation exchanger) and Q10 (strong anion exchanger), (2) dilution factors of binding buffer: 1/2, 1/5, 1/10, 1/20, 1/50, 1/100, and 1/200, (3) the stringency of Q10 binding buffer: 10 mM and 100 mM, and (4) protein extraction buffers: sodium borate, sodium borate + acetone, phenol, and TCA buffers. Optimum dilution factors were selected as 1/20 and 1/50 in both protein chips, CM10 and Q10. Low stringency of Q10 binding buffer (10mM) detected more peptide peaks than high stringency (100 mM). Selected protein extraction buffers of sorghum seed for SELDI-TOF MS analysis was the sodium borate buffer in the range of 2~10 kDa, while the phenol buffer was more suitable in the range of 10~20 kDa.

• Journal of the Korean Geotechnical Society
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• v.24 no.6
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• pp.5-16
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• 2008

This study investigated the existing theoretical backgrounds in order to examine the stability control method of lateral flow caused by the Plasticity of soils when unsymmetrical surcharge works on polluted soils and then compared and analyzed the results measured through model tests. Ultimate bearing power of ML and $ML_{p1}$ and $ML_{p2}$ obtained at surcharge(q)-settlement$(S_v)$ curve showed similar trends to ultimate bearing power obtained from control chart of deflection $(S_v-Y_m)$ by Tominaga.Hashimoto, that of $S_v-(Y_m/S_v)$ by Matsuo.Kawamura and that of $(q/Y_m)-q$ by Shibata.Sekiguchi and so it is considered that it has no problem in actual applicability. ${S_v-(Y_m/S_v)}$ of control chart of $ML_{p1}$ by Matsuo.Kawamura showed smaller value than ultimate bearing capacity value from surcharge-settlement curve $(q-S_v)$. Expression of ML of fracture baseline at stability control charge by Matsuo Kawamura is ${S_v=3.21exp}\{-0.48(Y_m/S_v)\}$ and expression of $ML_{p1}$ is ${S_v=3.26exp}\{-0.96(Y_m/S_v)\}$ and expression of $ML_{p2}$ is ${S_v=6.33exp}\{-0.45(Y_m/S_v)\}$.

• Korean Journal of Environment and Ecology
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• v.28 no.5
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• pp.574-587
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• 2014

In this study, vertical distribution patterns of Quercus mongolica Fisch. ex Ledeb. and Q. serrata Murray in Korea were recognized and possibility of introgressive hybridization and gene flow between Q. mongolica and Q. serrata in Mt. Jiri was inferred by flavonoid analyses. The most critical factor on distribution patterns was the altitude in accordance with temperature condition. A zonal distribution was recognized: Quercus mongolica zone in the upper area and Q. serrata zone in the lower area. In Central Korea, the range of vertical distribution of Q. mongolica was above alt. 100m, almost everywhere, whereas that of Q. serrata was from alt. 0 m to alt. 500(-700) m, and the species is rare above that altitude. But in Southern Korea, Q. serrata is found up to above alt. 1,000 m, whereas frequency of Q. mongolica reduces as elevation in decline and the species is rare below alt. 300 m, even though pure stands being formed on higher mountain slope. Altitudinal distribution of the two species, however, overlaps, where the two species occur together. Thirty-seven individuals of Q. mongolica and Q. serrata in Mt. Jiri and other area were examined for leaf flavonoid constituents. Twenty-three flavonoid compounds were isolated and identified; they were glycosylated derivatives of the flavonols kaempferol, quercetin, isorhamnetin, myricetin, and four compounds among the flavonoid compounds were acylated. Kaempferol 3-O-glucoside, quercetin 3-O-glucoside, quercetin 3-O-galactoside and its acylated compounds were major constituents and present in all individuals. Quercus mongolica is distinguished from Q. serrata by the presence of quercetin 3-O-arabinosylglucoside and by high concentration of three acylated compounds, acylated kaempferol 3-O-glucoside, quercetin 3-O-glucoside, quercetin 3-O-galactoside, and by relatively low concentration or lacking of rhamnosyl flavonol compounds. There are intraspecific variations in flavonoid profiles for Q. mongolica and Q. serrata, the flavonoid profiles for individuals of two species in hybrid zone (sympatric zone) tend to be similar to each other, qualitatively and quantitatively. These findings strongly suggest that gene exchange or gene flow occurs through the introgressive hybridization between Q. mongolica and Q. serrata in Mt. Jiri. Therefore, Quercus crispula, occupying morphologically intermediate position between Q. mongolica and Q. serrata, is suspected of being a hybrid taxon of two putative parental species.

• The Pure and Applied Mathematics
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• v.25 no.1
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• pp.1-5
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• 2018

It is proved that 'maximum' is actually attained in the following risk measure representation $${\rho}_m(X)={max \atop Q{\in}Q_m}E_Q[-X]$$.

• Biotechnology and Bioprocess Engineering:BBE
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• v.11 no.1
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• pp.61-66
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• 2006

The simple Langmuir isotherm is frequently employed to describe the equilibrium behavior of protein adsorption on a wide variety of adsorbents. The two adjustable parameters of the Langmuir isotherm - the saturation capacity, or $q_m$, and the dissociation constant, $K_d$ - are usually estimated by fitting the isotherm equation to the equilibrium data acquired from batch equilibration experiments. In this study, we have evaluated the possibility of estimating $q_m$ and $K_d$ for the adsorption of bovine serum albumin to a cation exchanger using batch kinetic data. A rate model predicated on the kinetic form of the Langmuir isotherm, with three adjustable parameters ($q_m,\;K_d$, and a rate constant), was fitted to a single kinetic profile. The value of $q_m$ determined as the result of this approach was quantitatively consistent with the $q_m$ value derived from the traditional batch equilibrium data. However, the $K_d$ value could not be retrieved from the kinetic profile, as the model fit proved insensitive to this parameter. Sensitivity analysis provided significant insight into the identifiability of the three model parameters.

• Journal of applied mathematics & informatics
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• v.37 no.3_4
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• pp.219-234
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• 2019

We use the definition of Euler polynomials of the second kind with (p, q)-numbers to identify some identities and properties of these polynomials. We also investigate some relationships between (p, q)-Euler polynomials of the second kind, (p, q)-Bernoulli polynomials, and (p, q)-tangent polynomials by using the properties of (p, q)-exponential function.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.19 no.3
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• pp.418-424
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• 1994

Like the Hermitian function field over GF(q), those subfields defined by y +y=x where s divides q+1 are also maximal, having the maximum number os places of degree one permissible by the Hasse-Weil bound. Geometric Goppa codes(or algebraic geometric codes) arising from these subfields of the Hermitian function field are studied in this paper. Their dimension and minimum distance are explicilty and completely presented for any m with m

• Kyungpook Mathematical Journal
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• v.61 no.1
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• pp.99-110
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• 2021

In the present paper, we determine new characterisations of the subclasses ����∗��(α, β; γ) and ������(α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi}^m_q(z)=z-{\sum_{n=2}^{\infty}}(^{n+m-2}_{m-1})q^{n-1}(1-q)^mz^n$. Further, we give necessary and sufficient conditions for an integral operator related to Pascal distribution series ${\mathcal{G}}^m_qf(z)={\int_{0}^{z}}{\frac{{\Phi}^m_q(t)}{t}}dt$ to belong to the above classes. Several corollaries and consequences of the main results are also considered.

• The Korean Journal of Ecology
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• v.14 no.3
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• pp.231-241
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• 1991

The analyses of correlation, enviromental gradient, continuum and polar ordination methods were used for studing on relationships between forest vegetation and their habitats in Mt. changan, chagsu-gun, korea. influencing correlation of moisture index to the main 41species from the study area they were composed of several groups by leading species of quercus mongoulica, that of carpinus tschonoskii and that of fraxinus mandshurica. On the other hand, it was found three communities in different habitats by environmental gradient i.e. each community of f. mandshurica, mangnolia sieboldii and hydrangea serrata for. acuminata have occurred in moist place, that of c. teschonoskii and q. serrata, in mesic and that of q. mongolica, q.variabilis, rhododendron schlippenbachii, in dry. in addition an occupied distribution area was investigated according to continuum index e.g. cornus controversa,betula costata,q. variabilis, q. serrata and q. mongolica over altitudinal 800m were distributed to a habitat were forming climax by q. mongolica, and/or c. controversa, f. mandshurica, q. serrata and c. tschonoskii under altitudinal 800m were done, by g. tschonoskii. while the forest vegetation of the area was classified into 6 communities such as q. mongolica community, q. variabilis community,q. serrata community, g. tschonoskii community,c. controversa community and f. mandshurica community by means of polar ordination analysis and these have come under the influence of environmental factors.