• Bulletin of the Korean Mathematical Society
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• v.52 no.3
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• pp.1007-1025
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• 2015

Let $\mathbb{N}_0$ be the set of non-negative integers, and let P(n, l) denote the set of all weak compositions of n with l parts, i.e., $P(n,l)=\{(x_1,x_2,{\cdots},x_l){\in}\mathbb{N}^l_0\;:\;x_1+x_2+{\cdots}+x_l=n\}$. For any element $u=(u_1,u_2,{\cdots},u_l){\in}P(n,l)$, denote its ith-coordinate by u(i), i.e., $u(i)=u_i$. A family $A{\subseteq}P(n,l)$ is said to be t-intersecting if ${\mid}\{i:u(i)=v(i)\}{\mid}{\geq}t$ for all $u,v{\epsilon}A$. A family $A{\subseteq}P(n,l)$ is said to be trivially t-intersecting if there is a t-set T of $[l]=\{1,2,{\cdots},l\}$ and elements $y_s{\in}\mathbb{N}_0(s{\in}T)$ such that $A=\{u{\in}P(n,l):u(j)=yj\;for\;all\;j{\in}T\}$. We prove that given any positive integers l, t with $l{\geq}2t+3$, there exists a constant $n_0(l,t)$ depending only on l and t, such that for all $n{\geq}n_0(l,t)$, if $A{\subseteq}P(n,l)$ is non-trivially t-intersecting, then $${\mid}A{\mid}{\leq}(^{n+l-t-l}_{l-t-1})-(^{n-1}_{l-t-1})+t$$. Moreover, equality holds if and only if there is a t-set T of [l] such that $$A=\bigcup_{s{\in}[l]{\backslash}T}\;A_s{\cup}\{q_i:i{\in}T\}$$, where $$A_s=\{u{\in}P(n,l):u(j)=0\;for\;all\;j{\in}T\;and\;u(s)=0\}$$ and $$q_i{\in}P(n,l)\;with\;q_i(j)=0\;fo\;all\;j{\in}[l]{\backslash}\{i\}\;and\;q_i(i)=n$$.

• Journal of Sasang Constitutional Medicine
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• v.18 no.1
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• pp.22-29
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• 2006

1. Objectives and Methods The original insect of $Q\'{\i}C\'{a}o$ is described as the larvae of Holotrichia diomphalia Bates (Scarabaeidae) in oriental medicine literatures. Traditionally $Q\'{\i}C\'{a}o$ inhabit on rotting wood, compost, and organic debris of soil or thatched roofs. They have the very important distinguishing mark that wriggle along on their back through rotting wood, compost etc. and they never do inflict the living crops. but, Holotrichia diomphalia Bates as the $Q\'{\i}C\'{a}o$ is not right because of many questions, such as Holotrichia are the harmful insects eat into farm products, and those don't match well with korean farmers' moods if their cultivated lands are turned over for collecting $Q\'{\i}C\'{a}o$ larvae, and especially they don't go on using their back. 2. Results and Conclusions Accordingly, in the conclusion of this subject it is reported that the original insect of $Q\'{\i}C\'{a}o$ is the larvae of Korean Cetoniidae(Coleoptera; Scarabaeoidea) insects including Genus Protaetia Burmeister(Protaetia orientalis submarmorea Burmeister, P.brevitarsis seulensis Kolbe, etc.) and the larvae of Korean Cetoniinae insects. Also, those were the original larvae of $Q\'{\i}C\'{a}o$ that were applied to not only 'DongEuiBoGam' but also 'Dongyi Suse Bowon prescriptions'. Those feed on rotting wood, compost, and organic debris of soil or thatched roofs.

• Proceedings of the Korean Geotechical Society Conference
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• 2008.03a
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• pp.14-21
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• 2008

In this study, a series of CID tests were performed on gypsum-cemented specimens to determin the cohesion intercept and the confined stress start to break the cementation bonds (${q_i}'_{(BP)}$). And the relationships between the unconfined compressive strength ($q_{ucs}$) and cohesion intercept or ${q_i}'_{(BP)}$ were investigated. From the experiments, it was concluded that the friction angle of cemented sands is not affected by cementation while the cohesion intercept of cemented sands significantly influenced by cementation and is constant before ${q_i}'_{(BP)}$. By an analytical interpretation, the failure strength of cemented specimen could be represented by summation of the failure strength of uncemented specimen and the unconfined compressive strength of cemented one. And the cohesion intercept of cemented specimen was represented as a linear relation with the unconfined compressive strength. Those analytical values of failure strength and cohesion intercept almost coincided with the experimental values of those. In addition, the ${q_i}'_{(BP)}$ also could be related with unconfined compressive strength linearly.

• Journal of the Korean Mathematical Society
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• v.44 no.1
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• pp.55-107
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• 2007

Let k be an imaginary quadratic field, h the complex upper half plane, and let $\tau{\in}h{\cap}k,\;q=e^{{\pi}i\tau}$. In this article, we obtain algebraic numbers from the 130 identities of Rogers-Ramanujan continued fractions investigated in [28] and [29] by using Berndt's idea ([3]). Using this, we get special transcendental numbers. For example, $\frac{q^{1/8}}{1}+\frac{-q}{1+q}+\frac{-q^2}{1+q^2}+\cdots$ ([1]) is transcendental.

• Journal of Korean Academy of Nursing
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• v.50 no.2
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• pp.255-270
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• 2020

Purpose: This study explored experiences of mothers caring for children with precocious puberty. Methods: Q-methodology was used for analyzing individual subjectivity. Seventy Q-statements were selected and scored by 50 participants on an 11-point scale. The collected data were analyzed using the PC QUANL program. Results: The following eight types of care experiences of mothers of children with precocious puberty were identified: Type I-1: hypersensitive and best-result oriented, Type I-2: treatment burden, Type II-1: treatment-oriented, Type II-2: self-blame, Type III-1: accepting and compliant, Type III-2: treatment confused, Type IV-1: serious and engaged, and Type IV-2: naturalism-oriented. Conclusion: These results can help develop specific education programs based on types of care experiences for the promotion of care among mothers of children with precocious puberty.

• Korean Journal of Mathematics
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• v.30 no.4
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• pp.593-601
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• 2022

Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τ_m,n = {(s_i, t_j)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s₀ < s₁ < . . . < s_m = S and 0 = t₀ < t₁ < . . . < t_n = T, define a random vector X_τ : C(Q) → ℝ^mn by X_τ (x) = (x(s₁, t₁), . . . , x(s_m, t_n)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function X_τ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

• Korean Journal of Environmental Agriculture
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• v.25 no.2
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• pp.157-163
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• 2006

Investigation of Cd and Zn availability in four different soils as affected by the interactions of these two heavy metals was conducted using the metal desorption quantity-intensity (Q/I) isotherms. The soils were artificially contaminated with proper concentrations of Cd and Zn as $CdSO_4\;and\;ZnSO_4$ solutions. DTPA (diethylene triamine pentaacetic acid) - extractable and water-extiactable Cd or Zn from the soils were used as $Q_{Cd}\;or\;Q_{Zn}\;and\;I_{Cd}\;or\;I_{Zn}$ factors, respectively. The coefficient of determination for Cd and Zn desorption Q/I linear regression in the soils ranged from 0.947 to 0.999, which indicated that Q and I factors were closely correlated. The buffering capacity of Cd, $BC_{Cd}$, in the soils decreased with increasing Zn treatments, and the $BC_{Cd}$ values were ranged between 205.8 and 2255.6. The decreases of $BC_{Cd}$ values were mainly dependent upon the increases of $I_{Cd}$ factors. However, Zn buffering capacity. $BC_{Zn}$ decreased with increasing Cd treatments in acidic soils, and increased in neutral and calcareous alkaline soils. The $BC_{Cd}$ values were ranged from 143.2 to 6158.0. The values of $BC_{Zn}$ as influenced by the treatments of Cd were also controlled by the solubility of water-extractable Zn, $I_{Zn}$ factor. The solubility of water-extractable Cd and Zn was significantly dependent upon the changes of soil pH that were impacted by the treatment of Zn and Cd, respectively. Also, the availability of Cd was higher than Zn availability in the acidic and neutral soils, but Zn was higher than Cd in the calcareous alkaline soil.

• Journal of Biomedical Engineering Research
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• v.14 no.4
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• pp.315-320
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• 1993

This paper deals with a subject for implementation of L+ayer 1 and Layer 2(LAPD) of ISDN user-network interface on the basis of CCITT recommandation I.411, I.412, I.441 (Q.921), I.450(Q.930) and I.451 (Q.931) for ultrasonic image transfer. For the implementa tion of LAPD protocol of ISDN in this study. PC-CARD based hardware(TA :Terminal Adopt) is proposed and operating system (PC-XINU) supporting the Multiprocessing is transplanted to it. As the Service Access Point(SAP) is accessed by using the port of XINU and Layers which consist of transmitting and receiving part are independantly processed for each other in this proposed system. It can be easy and flexible to implement LAPD protocol for the message transfer.

• Magazine of the Korean Society of Agricultural Engineers
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• v.18 no.2
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• pp.4116-4120
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• 1976

With the use of many rivers increased nearly to the capacity, the need for information concerning daily quantities of water and the total annual or seasonal runoff has became increased. A systematic record of the flow of a river is commonly made in terms of the mean daily discharge Since. a single observation of stage is converted into discharge by means of rating curve, it is essential that the stage discharge relations shall be accurately established. All rating curves have the looping effect due chiefly to channel storage and variation in surface slope. Loop rating curves are most characteristic on streams with somewhat flatter gradients and more constricted channels. The great majority of gauge readings are taken by unskilled observers once a day without any indication of whether the stage is rising or falling. Therefore, normal rating curves shall show one discharge for one gauge height, regardless of falling or rising stage. The above reasons call for the correction of the discharge measurements taken on either side of flood waves to the theoretical steady-state condition. The correction of the discharge measurement is to consider channel storage and variation in surface slope. (1) Channel storage As the surface elevation of a river rises, water is temporarily stored in the river channel. There fore, the actual discharge at the control section can be attained by substracting the rate of change of storage from the measured discharge. (2) Variation in surface slope From the Manning equation, the steady state discharge Q in a channel of given roughness and cross-section, is given as {{{{Q PROPTO SQRT { 1} }}}} When the slope is not equal, the actual discharge will be {{{{ { Q}_{r CDOT f } PROPTO SQRT { 1 +- TRIANGLE I} CDOT TRIANGLE I }}}} may be expressed in the form of {{{{ TRIANGLE I= { dh/dt} over {c } }}}} and the celerity is approximately equal to 1.3 times the mean watrr velocity. Therefore, The steady-state discharge can be estimated from the following equation. {{{{Q= { { Q}_{r CDOT f } } over { SQRT { (1 +- { A CDOT dh/dt} over {1.3 { Q}_{r CDOT f }I } )} } }}}} If a sufficient number of observations are available, an alternative procedure can be applied. A rating curve may be drawn as a median line through the uncorrected values. The values of {{{{ { 1} over {cI } }}}} can be yielded from the measured quantities of Qr$.$f and dh/dt by use of Eq. (7) and (8). From the 1/cI v. stage relationship, new vlues of 1/cI are obtained and inserted in Eq. (7) and (8) to yield the steady-state discharge Q. The new values of Q are then plotted against stage as the corrected steadystate curve.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.11 no.2
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• pp.9-14
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• 2007

A signed 3-partite graph is a 3-partite graph in which each edge is assigned a positive or a negative sign. Let G(U, V, W) be a signed 3-partite graph with $U\;=\;\{u_1,\;u_2,\;{\cdots},\;u_p\},\;V\;=\;\{v_1,\;v_2,\;{\cdots},\;v_q\}\;and\;W\;=\;\{w_1,\;w_2,\;{\cdots},\;w_r\}$. Then, signed degree of $u_i(v_j\;and\;w_k)$ is $sdeg(u_i)\;=\;d_i\;=\;d^+_i\;-\;d^-_i,\;1\;{\leq}\;i\;{\leq}\;p\;(sdeg(v_j)\;=\;e_j\;=\;e^+_j\;-\;e^-_j,\;1\;{\leq}\;j\;{\leq}q$ and $sdeg(w_k)\;=\;f_k\;=\;f^+_k\;-\;f^-_k,\;1\;{\leq}\;k\;{\leq}\;r)$ where $d^+_i(e^+_j\;and\;f^+_k)$ is the number of positive edges incident with $u_i(v_j\;and\;w_k)$ and $d^-_i(e^-_j\;and\;f^-_k)$ is the number of negative edges incident with $u_i(v_j\;and\;w_k)$. The sequences ${\alpha}\;=\;[d_1,\;d_2,\;{\cdots},\;d_p],\;{\beta}\;=\;[e_1,\;e_2,\;{\cdots},\;e_q]$ and ${\gamma}\;=\;[f_1,\;f_2,\;{\cdots},\;f_r]$ are called the signed degree sequences of G(U, V, W). In this paper, we characterize the signed degree sequences of signed 3-partite graphs.