• Korean Journal of Mathematics
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• v.22 no.4
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• pp.699-709
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• 2014

In the present paper, we investigate starlikeness conditions for q-differential operator by using the concept of quantum calculus in the unit disk.

• Communications for Statistical Applications and Methods
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• v.3 no.1
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• pp.189-193
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• 1996

In 1992. Boullion obtained the method of the calculus of the moments of discrete probability distributions using differential operator, and he published the method of calculus of the moments. The purpose of this paper is to introduce an idea that this method can be applied to calculate the moments of continuous probability distributions.

• East Asian mathematical journal
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• v.32 no.1
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• pp.35-41
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• 2016

We introduce formal symbols of product type and of minimum type and show that the formal power series representation for $e^p$ is a formal symbol of product type, where p is a formal symbol of minimum type.

• The Journal of the Korean dental association
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• v.16 no.10 s.113
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• pp.795-797
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• 1978

The author has observed a case of Pregnancy Tumor occurred in the gingival papilla between lower central incisors of a 26-year-old female. This patient was in the state of poor oral hygiene and severe calculus deposition. This case was treated by sugical excision and calculus was removed thoroughly.

• Bulletin of the Korean Mathematical Society
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• v.8 no.1
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• pp.9-15
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• 1971

The purpose of this note is to use primitive recursive functions and predicates similar to those presented by Davis [2] to show the well-known result first proved by Godel in [3] that the well-formed formulas of a pure functional calculus form a recursive set. The technique shown in this paper immediately suggests a unique approach to Theorem proving using a computer.

• Journal of the Korean Mathematical Society
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• v.41 no.1
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• pp.193-207
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• 2004

In this expository article we survey some recent developments on the construction of a holomorphic functional calculus for an infinite number of elements in a commutative unital Banach algebra.

• Honam Mathematical Journal
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• v.44 no.1
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• pp.26-35
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• 2022

In this paper we introduce two type of representations of the Pascal matrix via induced transformations of some q-derivatives as well as their some combinatorial applications.

• Journal of Applied and Pure Mathematics
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• v.5 no.5_6
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• pp.315-346
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• 2023

We present a variety of univariate and multivariate left and right side Hardy type fractional inequalities, many of them under convexity, and other also of L_p type, p ≥ 1, in the setting of generalized Hilfer and Prabhakar fractional Calculi.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• Journal of Korean Medicine for Obesity Research
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• v.11 no.2
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• pp.41-68
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• 2011

Objectives: After organizing segmentations related to obesity from classics and each studies, we would like to examine the value of wild ginseng, bovis calculus, ursi fel and moschus as a obesity medicine. Methods: We found out 4 drugs which are wild ginseng, bovis calculus, ursi fel and moschus from the classics, such as "Shin-Nong-Bon-Cho-Kyung", "Myoung-Eui-Byul-Lok", "Bon-Cho-Gang-Mok", "Bon-Cho-Jong-Shin", "Bon-Cho-Bi-Yo", "Bon-Cho-Gu-Jin" and "Deuk-Bae-Bon-Cho", we searched websites such as RISS, Korean traditional knowledge portal, the society of Korean medicine for obesity research, Korean pharmacopuncture institute, the Korean academy of oriental rehabilitation medicine and Korean acupuncture & moxibustion society as well. Results: 1. We couldn't find the contents related to the efficacy of improving obesity through wild ginseng, bovis calculus, ursi fel and moschus from the classics. 2. Wild ginseng had a study dealing with the efficacy of anticancer, obesity, toxicity, immunity, sulfation, diabetes, plasma proteins, depression, hypertension, endometriosis and hair loss. Especially among 6 studies related to obesity, apart from the study that treated extract of wild ginseng directly to the cell or oral administration to the animals, also have studies that had an efficacy of improving obesity through injecting pharmacopuncture to acupuncture point and vein, etc. 3. Bovis calculus had a study about efficacy related to arthritis, liver, inflammation of cornea, obesity, anticancer, immunity, antacid, heart, lumbar pain, hypertension, toxicity, a digestive organ and sasang constitution, especially in case of obesity, had each studies about oral administration of complex prescription and about cell unit experiment of pharmacopuncture. 4. Ursi fel had a study about efficacy related to liver, arthritis, inflammation of cornea, immunity, obesity, anticancer, antacid, lumbar pain, digestive organ, toxicity, cell protection, skin ailment, etc. Especially in case of obesity, had each studies about oral administration of animal experiment and about cell unit experiment of pharmacopuncture. 5. Moschus had a study about efficacy related to liver, the central nervous system, arthritis, inflammation of cornea, immunity, obesity, anticancer, hypertension, heart, lumbar pain, etc. Especially in case of obesity, had one study about oral administration of complex prescription. Conclusion: Through the result of probability as a obesity medicine of wild ginseng, bovis calculus, ursi fel and moschus, we could identify the possibility of each drug as a obesity medicine. Also in the future, it is considered that studies about one or complex prescription and pharmacopuncture as a obesity medicine will be needed.