• Journal of the Chungcheong Mathematical Society
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• v.37 no.1
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• pp.27-40
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• 2024

In this paper, we consider the higher-order HartreeFock equations. The higher-order linear Schrödinger equation was introduced in [5] as the formal finite Taylor expansion of the pseudorelativistic linear Schrödinger equation. In [13], the authors established global-in-time Strichartz estimates for the linear higher-order equations which hold uniformly in the speed of light c ≥ 1 and as their applications they proved the convergence of higher-order Hartree-Fock equations to the corresponding pseudo-relativistic equation on arbitrary time interval as c goes to infinity when the Taylor expansion order is odd. To achieve this, they not only showed the existence of solutions in L² space but also proved that the solutions stay bounded uniformly in c. We address the remaining question on the convergence of higherorder Hartree-Fock equations when the Taylor expansion order is even. The distinguished feature from the odd case is that the group velocity of phase function would be vanishing when the size of frequency is comparable to c. Owing to this property, the kinetic energy of solutions is not coercive and only weaker Strichartz estimates compared to the odd case were obtained in [13]. Thus, we only manage to establish the existence of local solutions in H^s space for s > $\frac{1}{3}$ on a finite time interval [-T, T], however, the time interval does not depend on c and the solutions are bounded uniformly in c. In addition, we provide the convergence result of higher-order Hartree-Fock equations to the pseudo-relativistic equation with the same convergence rate as the odd case, which holds on [-T, T].

• Monthly Notices of the Royal Astronomical Society
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• v.480 no.3
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• pp.4183-4198
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• 2018

Rings have recently been discovered around the trans-Neptunian object (TNO) 136108 Haumea and the Centaur 10199 Chariklo. Rings are also suspected around the Centaur 2060 Chiron. As planetary close encounters with ringed small bodies can affect ring longevity, we previously measured the severity of such encounters of Chariklo and Chiron using the minimum encounter distance, d_min. The value of d_min that separates noticeable encounters from non-noticeable encounters we called the 'ring limit', R. R was then approximated as 10 tidal disruption distances, 10R_td. In this work, we seek to find analytical expressions for R that fully account for the effects of the planet mass, small body mass, m_s, ring orbital radius, r, and velocity at infinity, v_∞, for fictitious ringed Centaurs using ranges 2 × 10²⁰ kg ≤m_s≤ 1 Pluto mass and 25 000 ≤r ≤ 100 000 km. To accomplish this, we use numerical integration to simulate close encounters between each giant planet and ringed Centaurs in the three-body planar problem. The results show that R has a lower bound of approximately 1.8R_td. We compare analytical and experimental R values for a fictitious Haumea, Chariklo, and Chiron with r= 50 000 km. The agreement is excellent for Haumea, but weaker for Chariklo and Chiron. The agreement is best for Jupiter and Saturn. The ring limits of the real Haumea, Chariklo, and Chiron are <4R_td. Experimental R values for the fictitious bodies make better approximations for the R values of the real bodies than does 10R_td. Analytical values make good first approximations.

• Biomolecules & Therapeutics
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• v.32 no.5
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• pp.601-610
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• 2024

Tofacitinib, a Janus kinase (JAK) inhibitor used to treat rheumatoid arthritis, is metabolized through hepatic cytochrome P450 (CYP), specifically CYP3A1/2 and CYP2C11. Prolonged administration of rheumatoid arthritis medications is generally associated with an increased risk of renal toxicity. Loganin (LGN), an iridoid glycoside, has hepatorenal regenerative properties. This study investigates the potential of LGN to mitigate acute kidney injury (AKI) and its effects on the pharmacokinetics of tofacitinib in rats with cisplatin-induced AKI. Both intravenous and oral administration of tofacitinib to AKI rats significantly increased the area under the plasma concentration-time curve from time 0 to infinity (AUC) compared with control (CON) rats, an increase attributed to the decelerated non-renal clearance (CL_NR) and renal clearance (CL_R) of tofacitinib. Administration of LGN to AKI rats, however, protected kidneys from severe impairment, restoring the pharmacokinetic parameters (AUC, CL_NR, and CL_R) of tofacitinib to those observed in untreated CON rats, with partial recovery of kidney function, as evidenced by an increase in creatinine clearance. Possible interactions between drugs and natural components should be considered, especially when co-administering both a drug and a natural extract containing LGN or iridoid glycosides to patients with kidney injury.

• Cartoon and Animation Studies
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• s.50
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• pp.75-99
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• 2018

Makoto Shinkai, an animated film maker in Japan, has been featured as a one-person production system and as a 'writer of light', but his 2016 release of "Your Name" was a departure from the elements that characterize his existing works. At the same time, by the combination of the traditional musubi(むすび) story, ending these, it was a big hit due to its rich narratives and attraction of open interpretation possibility. As it can be guessed from the title of this work, this work shows the encounter between the Japanese ancient language and the modern language in relation to the 'name', and presents the image that the role of the name(language) is repeatedly emphasized with various variations in events for the perfect 'encounter'. In this work, the interpretations of $Signifi\acute{e}$ for characters and objects are extended and reserved as a metaphorical role of the similarity, depending on the meaning of the subject which they touch. The relationship between words and objects analyzed through the structure of Signifiant and $Signifi\acute{e}$ is an epoch-making ideological discovery of modern times revealed through F. Saussure. Focusing on "the difference" between being this and that from the notion of Saussure, Derrida dismissed logocentrism, rationalism that fully obeyed the order of Logos. Likewise, dismissing the center, or dismissing the owner had emerged after the exclusive and closed principle of metaphysics in the west was dismissed. Derrida's definition of 'deconstruction' is a philosophical strategy that starts with the insight on the nature of language. 'Dissemination,' a metaphor that he used as a methodological concept to read texts acts as interpretation and practice (or play), but does not pursue an ultimate interpretation. His 'undecidability' does not start with infinity, but ends with infinity. The researcher testifies himself and identifies that we can't be an interpreter of the world because we, as a human are not the subject of language but a user. Derrida also interpreted the world of things composed of Signifiant and $Signifi\acute{e}$ as open texts. In this respect, this study aimed to read Makoto's works telling about the meeting of a thing and a thing with name as a guide, based on Derrida's frame of 'deconstruction' and 'dissemination.' This study intends to re-consider which relationship the Signifiant and $Signifi\acute{e}$ have with human beings who live in modern times, examine the relationship between words and objects presented in this work through Jacques Derrida's destruction and dissemination concepts, and recognize that we are merely a part of Signifiant and $Signifi\acute{e}$. Just as Taki and Mitsuha confirm the existence by asking each other, we are in the world of things, expecting musubi that a world of names calls me.

• Sim-seong Yeon-gu
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• v.37 no.2
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• pp.149-183
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• 2022

The oracle of the I Ching, divination can be understood as 'synchronicity phenomenon' in analytic psychology. In order to experience divination actually, it requires a religious attitude that asks questions with a serious mind when a person is in trouble that consciousness reaches its limit. It is not just a passive attitude, but a modest, active attitude to ask what I can do now. The experience of the oracle of the I Ching connected to supra-consciousness is similar to 'active imagination'-talking with the archetype of collective unconsciousness-and is 'the process of finding the rhythm of Self-archetype, the absolute wisdom of unconsciousness.' One month before my father's death, I took care of him who couldn't communicate verbally and I divination with a question 'What can I do for my father and me now?' The I Ching's answer was hexagram 19 Lin 臨, nine at the beginning. It's message was '咸臨貞吉 joint approach. perseverance brings good fortune.' 志行正也 we must adhere perseveringly to what is right.' Through this phrase, I learned the attitude of waiting for life after death as if 'joyful obedient' to the providence of nature that spring comes after winter. And I found that keeping the touching emotion of meeting infinity (in analytical psychological terms, 'Self') with perseveration is to do the true meaning of life beyond popular money-mindedness. And six months before my father's death, I had a dream about the afterlife. In the process of interpreting that dream, I learned not only from the shock of the direct message that 'it is a truth that there is something after death,' but also the regeneration of the mind through introversion from the similarity between the closed ward and '黃泉'-chinese underworld through amplification. And I learned the importance of an open attitude to accept new things through the 'window to eternity' symbolized by the white iron gate. In my father's catholic funeral ritual, I had hope that the catholic doctrine 'Communio Sanctorum'-A spiral cycle in which the living and the dead help each other may be real as well as a symbol of the individuation process in which consciousness and unconsciousness interact in our minds. Through the consolation received through the funeral visit of many people I met in my life, I found the answer that the path to contact with infinity begins with loving the beings in front of me. I tried to understand this continuous experience by the perspective of analytical psychology.

• The Korean Journal of Applied Statistics
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• v.23 no.1
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• pp.189-196
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• 2010

It is never an easy task to physically randomize the sequence of cards. For instance, US 1970 draft lottery resulted in a social turmoil since the outcome sequence of 366 birthday numbers showed a significant relationship with the input order (Wikipedia, "Draft Lottery 1969", Retrieved 2009/05/01). We are motivated by Laplace's 1825 book titled Philosophical Essay on Probabilities that says "Suppose that the numbers 1, 2, ..., 100 are placed, according to their natural ordering, in an urn, and suppose further that, after having shaken the urn, to shuffle the numbers, one draws one number. It is clear that if the shuffling has been properly done, each number will have the same chance of being drawn. But if we fear that there are small differences between them depending on the order in which the numbers were put into the urn, we can decrease these differences considerably by placing these numbers in a second urn in the order in which they are drawn from the first urn, and then shaking the second urn to shuffle the numbers. These differences, already imperceptible in the second urn, would be diminished more and more by using a third urn, a fourth urn, &c." (translated by Andrew 1. Dale, 1995, Springer. pp. 35-36). Laplace foresaw what would happen to us in 150 years later, and, even more, suggested the possible tool to handle the problem. But he did omit the detailed arguments for the solution. Thus we would like to write the supplement in modern terms for Laplace in this research note. We formulate the problem with a lottery box model, to which Markov chain theory can be applied. By applying Markov chains repeatedly, one expects the uniform distribution on k states as stationary distribution. Additionally, we show that the probability of even-number of successes in binomial distribution with trials and the success probability $\theta$ approaches to 0.5, as n increases to infinity. Our theory is illustrated to the cases of truncated geometric distribution and the US 1970 draft lottery.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.11
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• pp.5452-5457
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• 2012

It is saving material cost and construction cost by replacing conventional building materials, and It has advantages for aesthetic value. In the Europe, the United States, Japan and other country research about BIPV is actively being carried out and marketability is also being infinity expanding. Arch type PV systems efficiency characteristics is different depending on PV array's directly connection, parallel connection and arches angle, but is a lack of analysis on this nowadays. When the arch type PV system design up, they consider about aesthetic value and they didn't consider about generation efficiency. In this paper, we try to improve the efficiency through optimization of arch type PV system and estimation of the efficiency parameters of the arch type PV system, such as latitude, longitude, temperature, insolation, arch angle and each kind loss from system organization. For improving Arched PV system efficiency, proposed multiple control inverter system, and using simulation tool of Arched PV system "Solar pro", flat-plate type and many arch type PV system configuration the driving characteristics were compared and analyzed.

• School Mathematics
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• v.19 no.2
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• pp.319-343
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• 2017

In this study, we hope to reveal specialized content knowledge(SCK) and its features necessary to analyze student's errors and difficulties about the concept of irrational numbers. The instruments and interview were administered to 3 in-service mathematics teachers with various education background and teaching experiments. The results of this study are as follows. First, specialized content knowledge(SCK) were characterized by the fixation to symbolic representation like roots when they analyzed the concentration and overlooking of the representations of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations as the standard of judgment about irrational numbers. Thirdly, In-service teachers were influenced by content of students' error when they analyzed the error and difficulties of students. Lately, we confirmed that the content knowledge about the viewpoint of procept and actual infinity of irrational numbers are most important during the analyzing process.

• Journal of the Earthquake Engineering Society of Korea
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• v.14 no.3
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• pp.11-22
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• 2010

An analysis method is proposed for the transient linear or nonlinear analysis of dynamic interactions between a flexible dam body and reservoir impounding compressible water under earthquake loadings. The coupled dam-reservoir system consists of three substructures: (1) a dam body with linear or nonlinear behavior; (2) a semi-infinite fluid region with constant depth; and (3) an irregular fluid region between the dam body and far field. The dam body is modeled with linear and/or nonlinear finite elements. The far field is formulated as a displacement-based transmitting boundary in the frequency domain that can radiate energy into infinity. Then the transmitting boundary is transformed for the direct coupling in the time domain. The near field region is modeled as a compressible fluid contained between two substructures. The developed method is verified and applied to various earthquake response analyses of dam-reservoir systems. Also, the method is applied to a nonlinear analysis of a concrete gravity dam. The results show the location and severity of damage demonstrating the applicability to the seismic evaluation of existing and new dams.

• Progress in Medical Physics
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• v.28 no.4
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• pp.226-231
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• 2017

The aim is to investigate the spectra responsibilities of QD (Quantum Dot) for the innovation of new dosimetry application for therapeutic Megavoltage X-ray range. The unique electrical and optical properties of QD are expected to make it a good sensing material for dosimeter. This study shows the spectra responsibility of toluene based ZnCd QD and PPO (2.5-diphenyloxazol) mixed liquid scintillator. The QDs of 4 sizes corresponding to an emission wavelength (ZnCdSe/ZnS:$440{\pm}5nm$, ZnCdSeS:470, 500, $570{\pm}5nm$) were utilized. A liquid scintillator for control sample was made of toluene, PPO. The Composition of QD loaded scintillators are about 99 wt% Toluene as solvent, 1 wt% of PPO as primary scintillator and 0.05, 0.1, 0.2 and 0.4 wt% of QDs as solute. For the spectra responsibility of QD scintillation, they were irradiated for 30 second with 6 MV beam from a LINAC ($Infinity^{TM}$, Elekta). With the guidance of 1.0 mm core diameter optical fiber, scintillation spectrums were measured by a compact CCD spectrometer which could measure 200~1,000 nm wavelength range (CCS200, Thorlabs). We measured the spectra responsibilities of QD loaded organic liquid scintillators in two scintillation mechanisms. First was the direct transfer and second was using wave shifter. The emission peaks from the direct transfer were measured to be much smaller luminescent intensity than based on the wavelength shift from the PPO to QDs. The emission peak was shifted from PPO emission wavelength 380 nm to each emission wavelength of loaded QD. In both mechanisms, 500 nm QD loaded samples were observed to radiate in the highest luminescence intensity. We observed the spectra responsibility of QD doped toluene based liquid scintillator in order to innovate QD dosimetry applicator. The liquid scintillator loading 0.2 wt% of 500 nm emission wavelength QD has most superior responsibility at 6 MV photon beam. In this study we observed the spectra responsibilities for therapeutic X-ray range. It would be the first step of innovating new radiation dosimetric methods for radiation treatment.