• Journal of applied mathematics & informatics
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• 제39권3_4호
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• pp.541-552
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• 2021

In this paper, we introduce q-sigmoid polynomials combining q-cosine function. We find several properties and identities of these polynomials which are related to sigmoid function using deep learning.

• Journal of applied mathematics & informatics
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• 제37권1_2호
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• pp.97-103
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• 2019

In this paper, we give some interesting symmetric identities of the (p, q)-Hurwitz zeta function. We also give some new interesting properties, explicit formulas, a connection with (p, q)-Bernoulli numbers and polynomials.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.1117-1128
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• 2022

We find several q-differential equations of higher order that has q-tangent polynomials as the solution and obtain its associated symmetric properties.

• Journal of Applied and Pure Mathematics
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• 제5권3_4호
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• pp.165-186
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• 2023

In this paper we give some prperties of the (p, q)-poly-cosine tangent polynomials and (p, q)-poly-sine tangent polynomials.

• Journal of the Korean Association of Oral and Maxillofacial Surgeons
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• 제26권3호
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• pp.245-253
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• 2000

The development and progression of oral cancer is associated with an accumulation of multiple genetic alterations through the multistep processes. Comparative genomic hybridization(CGH), newly developed cytogenetic and molecular biologic technique, has been widely accepted as a useful method to allow the detection of genetic imbalance in solid tumors and the screening for chromosome sites frequently affected by gains or losses in DNA copy number. The authors examined 19 primary oral squamous cell carcinomas using CGH to identify altered chromosome regions that might contain novel oncogenes and tumor suppressor genes. Interrelationship between these genetic aberrations detected and major oncogenes and tumor suppressor genes previously recognized in carcinogenesis of oral cancers was studied. 1. Changes in DNA copy number were detected in 14 of 19 oral cancers (78.9%, mean: 5.58, range: $3{\sim}13$). High level amplification was present in 4 cases at 9p23, $12p21.1{\sim}q13.1$, 3q and $8q24{\sim}24.3$. Fourteen cases(78.9%, mean: 3.00, range: $1{\sim}8$) showed gains of DNA copy number and 12 cases(70.5%, mean: 2.58, range: $1{\sim}9$) revealed losses of DNA copy number. 2. The most common gains were detected on 3q(52.6%), 5p(21.0%), 8q(21.0%), 9p(21.0%), and 11q(21.0%). The losses of DNA copy number were frequently occurred at 9p(36.8%), 17q(36.8%), 13q(26.3%), 4p(21.0%) and 9p(21.0%). 3. The minimal common regions of gains were repeatedly observed at $3q24{\sim}26.7$, $3q27{\sim}29$, $1q22{\sim}31$, $5p12{\sim}13.3$, $8q23{\sim}24$, and 11q13.1-13.3. The minimal common regions of losses were detected at $9q11{\sim}21.3$, 17p31, $13q22{\sim}34$, and 14p16. 4. In comparison of CGH results with tumor stages, the lower stage group showed more frequent gain at 3q, 5q, 9p, and 14q, whereas gains at 1q($1q22{\sim}31$) and 11q($11q13.1{\sim}13.3$) were mainly detected in higher stage group. The loss at $13q22{\sim}34$ was exclusively detected in higher stage. The results indicate that the most frequent genetic alterations in the development of oral cancers were gains at $3q24{\sim}26.3$, $1q22{\sim}31$, and $5p12{\sim}13.3$ and losses at $9q11{\sim}21.3$, 17p31, and 13q. It is suggested that genetic alterations manifested as gains at $3q24{\sim}26.3$, $3q27{\sim}29$, $5p12{\sim}13.3$ and 5p are associated with the early progression of oral cancer. Gains at $1q22{\sim}31$ and $11q13.1{\sim}13.3$ and loss at 13q22-34 could be involved in the late progression of oral cancers.

• 한국가금학회지
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• 제49권2호
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• pp.115-124
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• 2022

Coenzyme Q10(CQ10)은 세포의 미토콘드리아 전자전달계의 산화적 인산화 작용에 중요한 역할을 하는 물질로서 최근 항산화제로서 가능성이 주목을 받고 있다. 따라서 본 시험은 산란 스트레스로서 지방간 현상이 다발하는 산란계(40주령)를 이용하여 대조군(CON), 분말 CoQ10 급여군(PCoQ, 100 mg/kg 사료) 및 유화 CoQ10 급여군(ECoQ, 100 mg/kg 사료) 등 3 처리군으로 설정하고 항산화 관련 지표를 조사하였다. 5주간의 시험 결과 분말 및 유화 CoQ10 급여는 산란계의 체중, 증체, 간 및 비장의 무게에는 영향은 미치지 않았다. CoQ10 급여 후 혈액의 전체 항산화력(total antioxidant power)을 조사한 결과 대조군과 비교 시 ECoQ 군에서 약 2배 정도 유의적으로(P<0.05) 증가하였다. PCoQ 군에서 수치상 약 1.5배의 TAP가 증가하였으나 대조군과 비교 시 유의적 차이는 없었다. 산란계의 간 조직에서 SOD, GPX 및 CAT 등 항산화 효소의 mRNA 발현은 분말 또는 유화 CoQ10 급여에 따른 유의적 효과가 없었다. 이들 항산화 효소들의 특이적 활성도를 조사한 결과 역시 분말 또는 유화 CoQ10 급여에 따른 유의적 차이가 없었다. 그러나 간 조직의 지질과산화(lipid peroxidation) 지표는 대조군과 비교 시 ECoQ에서 유의하게(P<0.05) 낮은 것으로 나타났다. 이상의 결과 유화형 COQ10 급여는 산란계에서 혈액의 전체 항산화력(TAP)을 증가시키고 간 조직에서 발생하는 활성산소를 효율적으로 제거하여 지질과산화도를 감소시키는 것으로 나타났다. 따라서 COQ10 급여는 과도한 산란 스트레스로부터 건강한 산란계를 사육할 수 있는 항산화 사료첨가제로써 이용 가능성이 높은 것으로생각된다.

• 대한수학회지
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• 제40권5호
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• pp.769-788
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• 2003

In this paper, we study the optimal control for the damped semilinear hyperbolic systems with unknown parameters (C(t)y')'＋ $A_2$(t, q)y'＋ $A_1$(t, q)y = f(t, q, y, u). We will prove the existence of weak solution of this system and is to find the optimal control pair (q, u) $\in$ $Q_{t}$ ${\times}$ $U_{ad}$ such that in $f_{u}$$\in$ $Q_{t}$/ J(q, u) = J(q, u).$_{t}$/ J(q, u) = J(q, u).

• 호남수학학술지
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• 제34권3호
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• pp.327-340
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• 2012

Gottlieb polynomials were introduced and investigated in 1938, and then have been cited in several articles. Very recently Khan and Akhlaq introduced and investigated Gottlieb polynomials in two and three variables to give their generating functions. Subsequently, Khan and Asif investigated the generating functions for the $q$-analogue of Gottlieb polynomials. Very recently, Choi defined a $q$-extension of the generalized two variable Gottlieb polynomials ${\varphi}^2_n({\cdot})$ and presented their several generating functions. Also, by modifying Khan and Akhlaq's method, Choi presented a generalization of the Gottlieb polynomials in m variables to give two generating functions of the generalized Gottlieb polynomials ${\varphi}^m_n({\cdot})$. Here, in the sequel of the above results for their possible general $q$-extensions in several variables, again, we aim at trying to define a $q$-extension of the generalized three variable Gottlieb polynomials ${\varphi}^3_n({\cdot})$ and present their several generating functions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권4호
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• pp.315-353
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• 2019

Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative (p, q)-𝜑 order, relative (p, q)-𝜑 type, and relative (p, q)-𝜑 weak type of meromorphic functions with respect to entire functions where p, q are any two positive integers and 𝜑 : [0, +∞) → (0, +∞) is a non-decreasing unbounded function.

• 대한수학회보
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• 제52권1호
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• pp.35-43
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• 2015

Let q > 1 be an odd integer and c be a fixed integer with (c, q) = 1. For each integer a with $1{\leq}a{\leq}q-1$, it is clear that the exists one and only one b with $0{\leq}b{\leq}q-1$ such that $ab{\equiv}c$ (mod q). Let N(c, q) denote the number of all solutions of the congruence equation $ab{\equiv}c$ (mod q) for $1{\leq}a$, $b{\leq}q-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b\bar{b}{\equiv}1$ (modq). The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the mean value properties of a summation involving $(N(c,q)-\frac{1}{2}{\phi}(q))$ and Kloosterman sums, and give a sharper asymptotic formula for it.