• Journal of the Korean Mathematical Society
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• v.60 no.5
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• pp.1087-1107
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• 2023

Let E be an elliptic curve defined over ℚ of conductor N, c the Manin constant of E, and m the product of Tamagawa numbers of E at prime divisors of N. Let K be an imaginary quadratic field where all prime divisors of N split in K, P_K the Heegner point in E(K), and III(E/K) the Shafarevich-Tate group of E over K. Let 2u_K be the number of roots of unity contained in K. Gross and Zagier conjectured that if P_K has infinite order in E(K), then the integer c · m · u_K · |III(E/K)| $\frac{1}{2}$ is divisible by |E(ℚ)_tor|. In this paper, we prove that this conjecture is true if E(ℚ)_tor ≅ ℤ/2ℤ or ℤ/4ℤ except for two explicit families of curves. Further, we show these exceptions can be removed under Stein-Watkins conjecture.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1121-1124
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• 1993

We propose two-degree-of-freedom fuzzy neural network control systems. It has a hierarchical structure of two sets of control knowledge, thus it is easy to extract and refine fuzzy rules before and after the operation has started, and the number of fuzzy rules is reduced. In addition an example application of automatic vehicle operation is reported and its usefulness is shown simulation.

• Journal of Contemporary Eastern Asia
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• v.19 no.2
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• pp.40-60
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• 2020

Among Filipino entertainers in Japan, trans women (transgender women) or transpinay (Filipino trans woman) entertainers remain understudied compared to cisgender women. Though the number of entertainers has declined, transpinay entertainers remain relevant as transgender issues continue to be salient globally. This study explains the gendered experiences of the transpinay migrants, particularly in entertainment work and their relationships, which are different from cisgender Filipino women entertainers' experiences. Using grounded theory and drawing on concepts of performativity in interactions to analyze the narratives of transpinay entertainers, I delve into how transpinay entertainers negotiate their gender and migrant identities as they establish professional and personal relationships. Moreover, the transpinays' entertainment work is a significant contributing factor to their sense of belonging in Japan, as they form relationships with colleagues, clients, and partners who support them and, thereby, sustain their lifestyles as trans women. The transpinay entertainers' flows of migration between Japan and the Philippines reveal that they embrace various aspects of social remittances and use them to their advantage to create and enhance their transpinay identity in Japan. By examining the transpinays' migrant experiences, this study aims to elucidate the gendered experiences of transpinay entertainers, which involve significant negotiations in their migration pathways notably different from cisgender Filipino women entertainers, reveal resilience.