• Journal of the Korean Crystal Growth and Crystal Technology
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• v.19 no.5
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• pp.215-222
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• 2009

Many concepts of external magnetic field applications in crystal growth processes have been developed to control melt convection, impurity content and growing interface shape. Especially, travelling magnetic fields (TMF) are of certain advantages. However, strong shielding effects appear when the TMF coils are placed outside the growth vessel. To achieve a solution of industrial relevance within the framework of the $KRISTMAG^{(R)}$ project inner heater-magnet modules(HMM) for simultaneous generation of temperature and magnetic field have been developed. At the same time, as the temperature is controlled as usual, e.g. by DC, the characteristics of the magnetic field can be adjusted via frequency, phase shift of the alternating current (AC) and by changing the amplitude via the AC/DC ratio. Global modelling and dummy measurements were used to optimize and validate the HMM configuration and process parameters. GaAs and Ge single crystals with improved parameters were grown in HMM-equipped industrial liquid encapsulated Czochralski (LEC) puller and commercial vertical gradient freeze (VGF) furnace, respectively. The vapour pressure controlled Czochralski (VCz) variant without boric oxide encapsulation was used to study the movement of floating particles by the TMF-driven vortices.

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1265-1279
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• 2017

In order to study the structure of arbitrary split Leibniz triple systems, we introduce the class of split Leibniz triple systems as the natural extension of the class of split Lie triple systems and split Leibniz algebras. By developing techniques of connections of roots for this kind of triple systems, we show that any of such Leibniz triple systems T with a symmetric root system is of the form $T=U+{\sum}_{[j]{\in}{\Lambda}^1/{\sim}}I_{[j]}$ with U a subspace of $T_0$ and any $I_{[j]}$ a well described ideal of T, satisfying $\{I_{[j]},T,I_{[k]}\}=\{I_{[j]},I_{[k]},T\}=\{T,I_{[j]},I_{[k]}\}=0 \text{ if }[j]{\neq}[k]$.

• Safety and Health at Work
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• v.2 no.4
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• pp.355-364
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• 2011

Objectives: Though sulfur dioxide (SO2) is used widely at workplaces, itseffects on humans are not known. Thresholds are reportedwithout reference to gender or age and occupational exposure limits are basedon effects on lung functioning, although localized effects in the upper airways can be expected. This study's aim is to determine thresholds with respect to age and gender and suggests a new approach to risk assessment using breathing reflexes presumably triggered by trigeminal receptors in the upper airways. Methods: Odor thresholds were determined by the ascending method of limits in groups stratified by age and gender. Subjects rated intensities of different olfactory and trigeminal perceptions at different concentrations of $SO_2$. During the presentation of the concentrations, breathing movements were measured by respiratory inductive plethysmography. Results: Neither age nor gender effects were observed for odor threshold. Only ratings of nasal irritation were influenced bygender. A benchmark dose analysis on relative respiratory depth revealed a 10%-deviation from baseline at about 25.27 mg/$m^3$. Conclusion: The proposed new approach to risk assessment appearsto be sustainable. We discuss whether a 10%-deviation of breathingdepth is relevant.

• East Asian mathematical journal
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• v.39 no.3
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• pp.299-303
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• 2023

The aim of this note is to provide three derivations of the well-known Gregory-Leibniz series for π via a hypergeometric series approach.

• Journal for History of Mathematics
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• v.18 no.3
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• pp.67-78
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• 2005

In this paper we deals with Leibniz's definition of infinite and infinitely small quantities, infinite quantities and theory of quantified indivisibles in comparison with Galileo's concept of indivisibles. Leibniz developed 'method of indivisible' in order to introduce the integrability of continuous functions. also we deals with this demonstration, with Leibniz's rules of arithmetic of infinitely small and infinite quantities.

• Journal for History of Mathematics
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• v.19 no.4
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• pp.81-96
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• 2006

This paper aims to review Leibniz's analytic ideas in his philosophy, logics, and mathematics. History of analysis in mathematics ascend its origin to Greek period. Analysis was used to prove geometrical theorems since Pythagoras. Pappus took foundation in analysis more systematically. Descartes tried to find the value of analysis as a heuristics and found analytic geometry. And Descartes and Leibniz thought that analysis was played most important role in investigating studies and inventing new truths including mathematics. Among these discussions about analysis, this paper investigate Leibniz's analysis focusing to his ideas over the whole of his studies.

• Korean Journal of Logic
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• v.5 no.1
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• pp.147-157
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• 2001

In this study I try to show some numerical analogy between Leibniz's binary system anc I-ching's symbolic system of duo rerum principia, imagines quator, octo figurae am 64 hexagrams. But, there is really a formal logical accordance in their symbolic foundations, on which are based especially the Wittgenstein's 16 truth-tables in his Tractatus-logico-philosophicus(5.101) am 16 hexagrams, as long as we interpret with the binary values 0 am 1, i.e. the Bi-Polarity, the logical tradition from J. Boole, G. Frege through B. Russell and AN. Whitehead to R. Wittgenstein. So, I argue that the historical and theoretical root of that tradition goes back to the debate between Bouvet and Leibniz about the mathematical structure of I-ching' symbols and the Leibnizian binary arithmetic. In the letter on 4. 11. 1701 from Peking to Leibniz, Bouvet wrote that the I-Ching's symbolism has an analogous structure with Leibniz's binary arithmetic. Corresponding to his suggestion, but without exact knowledge, in the letter of 2. January 1967 to the duke August in Braunschweig-Lueneburg-Wolfenbuettel had Leibniz shown already an original idea for the creation of the world with imago Dei which comes from binary progression, dark and light on water.

• Journal of Korean Philosophical Society
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• no.94
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• pp.53-87
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• 2011

Leibniz regards a corporeal substance, which is composed of monads, as 'one substance' and tries to prove that it has a true unity. This position seems to be contradictionary to his Monadology. Therefore, many scholars have ignored Leibniz's stand that corporeal substance is 'one substance', or consider this only as a stand from his theory of substance in his early works, which has been discarded afterwards. This Research will show that Leibniz adheres to this position throughout his lifetime; that although Leibniz uses the concepts such as substantial form and substantial bond to explain his stand, but the concept of substancial bond doesn't fit in with his philosophical system; that to explain the unity of the corporeal substance, the concept of substancial form and the theory of preestablished harmony are sufficient; and that nevertheless the stand that the corporeal substance is 'one substance' inconsistent with the position that the monad is 'one substance'; and that if Leibniz abandons that stand, the theory of the corporeal substance is a good foundation of his panorganism.

• Journal of Ginseng Culture
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• v.1
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• pp.28-42
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• 2019

What is unknown about Leibniz (Gottfried Wilhelm Leibniz, 1646~1716), a great philosopher and mathematician, is that he inquired about ginseng. Why Leibniz, one of the leading figures of the Enlightenment, became interested in ginseng? This paper excavates Leibniz's references on ginseng in his vast amount of correspondences and traces the path of his personal life and cultural context where the question about ginseng arose. From the sixteenth century, Europe saw a notable growth of medical botany, due to the rediscovery of such Greek-texts as Materia Medica and the introduction of a variety of new plants from the New World. In the same context, ginseng, the renowned panacea of the Old World began to appear in a number of European travelogues. As an important part of mercantilistic projects, major scientific academies in Europe embarked on the researches of valuable foreign plants including ginseng. Leibniz visited such scientific academies as the Royal Society in London and $Acad{\acute{e}}mie$ royale des sciences in Paris, and envisioned to establish such scientific society in Germany. When Leibniz visited Rome, he began to form a close relationship with Jesuit missionaries. That opportunity amplified his intellectual curiosity about China and China's famous medicine, ginseng. He inquired about the properties of ginseng to Grimaldi and Bouvet who were the main figures in Jesuit China mission. This article demonstrates ginseng, the unnoticed subject in the Enlightenment, could be an important clue that interweaves the academic landscape, the interactions among the intellectuals, and the mercantilistic expansion of Europe in the late 17th century.

• 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.