• Journal of the Korean Mathematical Society
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• v.50 no.3
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• pp.607-625
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• 2013

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.

• Korean Journal of Logic
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• v.13 no.1
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• pp.21-52
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• 2010

What van Fraassen calls 'Reflection Principle' is claimed to meet several counterexamples, one of which stands out in the form of the Sleeping Beauty problem. Adam Elga argues that what he believes is the correct answer to the Sleeping Beauty problem shows that Reflection is subject to counterexamples. David Lewis proposes a different answer which preserves Reflection intact. Recently, Nick Bostrom presents a hybrid view which is supposed to allow us to keep Reflection. In proposing his hybrid view Bostrom criticizes both Elga and Lewis while taking some 'good' parts from each. He claims that Elga's view is not entirely acceptable because it presupposes the 'Self-Indication Assumption'. I shall claim, however, that Elga could avoid Bostrom's criticisms by introducing Bostrom's notion of agent-part. I believe that several probability-related puzzles including the Sleeping Beauty problem indicate a promising view concerning the way we should regard our future selves' opinions. According to this view, whether one takes the outsider stance or insider stance makes a difference in an important way that one and the same proposition is associated with different degrees of belief by one agent.

• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1497-1530
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• 2016

External barrier options are two-asset options with stochastic variables where the payoff depends on one underlying asset and the barrier depends on another state variable. The barrier state variable determines whether the option is knocked in or out when the value of the variable is above or below some prescribed barrier level. This paper derives the explicit analytic solution of the chained option with an external single or double barrier by utilizing the probabilistic methods - the reflection principle and the change of measure. Before we do this, we examine the closed-form solution of the external barrier option with a single or double-curved barrier using the methods of image and double Mellin transforms. The exact solution of the external barrier option price enables us to obtain the pricing formula of the chained option with the external barrier more easily.

• Journal of Science Education
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• v.45 no.3
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• pp.326-335
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• 2021

In this study, we developed an experimental apparatus to study the principle of rainbow formation. The rainbow is formed through the dispersion, reflection, and refraction of light on water droplets. However, the rainbow cannot be made from a single drop of water. Thus, we devised an apparatus to observe the principle behind the rainbow formation caused by light rays on many water drops. This we deemed would help students understand the formation of the rainbow. We used glass beads as water drops to reproduce the rainbow phenomena. We also materialized the rainbow by changing various variables such as the position of the observer and the height of the light source, etc.

• 한국기계연구소 소보
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• s.10
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• pp.11-20
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• 1983

Photoelasticity is an experimental technique for stress and strain analysis that is particularly useful for members having complicated geometry, complicated loading conditions, or both. The principle and engineering applications of photoelastic stress analysis are briefly reviewed. Experimental stress analysis with Reflection Polariscope at KIMM Structural Mechanics Laboratory was applied to the following practices: Stress analysis of the crosshead of the structural fatigue testing machine; Experimental safety verification of domestic excavator.

• Journal of Electrical Engineering and Technology
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• v.11 no.6
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• pp.1754-1762
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• 2016

Finite difference analysis were applied to study the principle operation of monopole antenna for moisture determination in oil palm fruit at 2 GHz. The electromagnetic field interact with oil palm fruit on the interface between the antenna and oil palm fruit and cause a reflection. The reflection measurement is based on mismatch impedance or dielectric properties between two media. Reflection coefficient is used to quantify the level of reflection. The monopole antenna was made of RG405/U semi-rigid coaxial cable with an inner and outer diameter of 0.45 mm and 1.50 mm, respectively with 2.23 mm length of protruding conductor over 5.66 cm length of monopole antenna. This monopole antenna for moisture detection was compared with induced EMF method in terms of reflection coefficient at 2 GHz. The results show that the complex reflection coefficient measured using monopole antenna provides significant results to predict moisture content in oil palm fruit.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.29 no.9
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• pp.685-692
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• 2018

Using Babinet's principle and generalized sheet transition conditions(GSTCs), an analysis method for metascreens is proposed. First, the relation of a complementary screen between a metafilm and metascreen with the same dimensions was confirmed using Babinet's principle. These properties were verified by comparing the reflection coefficient of the patch and the transmission coefficient of the mesh. The patch and mesh are the basic structures of metafilms and metascreens, respectively. Based on these findings, it is also confirmed that the reflection coefficient of the patch surface calculated by GSTCs has the same value as the transmission coefficient of the mesh surface. It is expected that the proposed analysis methods can be applied to the magnitude, phase, and polarization of electromagnetic waves in the various unit structures of a given metasurface.

• Proceedings of the Korean Society of Agricultural Engineers Conference
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• 2001.10a
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• pp.505-508
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• 2001

Remote Sensing is one of effective methods for collecting, analyzing information and predicting the change of agricultural environments. The RS technique is based on the principle that the object reflects a peculiar radio wave according to types and environmental conditions. For collection RS base data, used spectroradiometer which measures reflection characteristics between $300{\sim}1,100nm$ and measured the reflection of Mi-ho stream's water resources which is located thong-won, Chung-buk province, Korea. The difference of reflectance represents the characteristic of bottom soil, water color and matters in water.

• Korean Journal of Logic
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• v.14 no.3
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• pp.27-59
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• 2011

This paper concerns several versions of conditionalization. In particular, I will examine the relationship between Jeffrey conditionalization and the second order conditionalization concerning updating higher order credences. In section 2, I suggest explicitly what Jeffrey conditionalization and the second order conditionalization are. I will argue in section 3 that Jeffrey conditionalization conflicts with van Fraassen's Reflection Principle while the second order conditionalization doesn't. And I will also argue in section 4 that under some situations, Jeffrey conditionalization may lead agents to Moorean absurdity while the second conditionalization may not. As a result, I will claim that Jeffrey conditionalization is better than the second order contionalization at updating our higher order credences.

• Communications of Mathematical Education
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• v.28 no.2
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• pp.219-234
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• 2014

Music and mathematics have a lot of structural similarities. Major and minor triads used importantly in music are in a relationship of inversion in which the sequence of the intervals is reversed, which is equivalent to reflection in mathematics. Geometrical expressions help understand structures in music as well as mathematics, and a diagram that shows tonal relationships in music is called Tonnetz. Relationships of reflection between major and minor triads can easily be understood by using Tonnetz, and also, transpositions can be expressed in translation. This study looks into existing Tonnetz and introduces S-Tonnetz newly formed by a mathematical principle.