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On a number of rational points on a plane curve of low degree
Cheon, Eun Ju,Homma, Masaaki,Kim, Seon Jeong,Lee, Namyong North-Holland Pub. Co 2017 Discrete mathematics Vol.340 No.6
<P><B>Abstract</B></P> <P>In Homma and Kim (2010), an upper bound of the number of rational points on a plane curve of degree d over <SUB> F q </SUB> is found. Some examples attaining the bound are given in Homma and Kim (2010), whose degrees are q + 2 , q + 1 , q , q − 1 , q − 1 (when q is a square), and 2 . In this paper, we consider an actual upper bound on such numbers for curves of low degree for q ≤ 7 . Also we give explicit examples of curves attaining the sharp bound for each d and q .</P>
HOMMA TOSHIMITSU,TOMITA KENICHI,HATO SHINJI Korean Nuclear Society 2005 Nuclear Engineering and Technology Vol.37 No.3
This paper addresses two types of uncertainty: stochastic uncertainty and subjective uncertainty in probabilistic accident consequence assessments. The off-site consequence assessment code OSCAAR has been applied to uncertainty and sensitivity analyses on the individual risks of early fatality and latent cancer fatality in the population outside the plant boundary due to a severe accident. A new stratified meteorological sampling scheme was successfully implemented into the trajectory model for atmospheric dispersion and the statistical variability of the probability distributions of the consequence was examined. A total of 65 uncertain input parameters was considered and 128 runs of OSCAAR with 144 meteorological sequences were performed in the parameter uncertainty analysis. The study provided the range of uncertainty for the expected values of individual risks of early and latent cancer fatality close to the site. In the sensitivity analyses, the correlation/regression measures were useful for identifying those input parameters whose uncertainty makes an important contribution to the overall uncertainty for the consequence. This could provide valuable insights into areas for further research aiming at reducing the uncertainties.
A VARIANT OF A BASE-POINT-FREE PENCIL TRICK AND LINEAR SYSTEMS ON A PLANE CURVE
Homma, Masaaki,Ohbuchi, Akira Korean Mathematical Society 1999 대한수학회지 Vol.36 No.3
We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proof, and apply them to the study of special divisors on a smooth plane curve involving a theorem of Max Noether.
The second largest number of points on plane curves over finite fields
Homma, Masaaki,Kim, Seon Jeong Elsevier 2018 Finite fields and their applications Vol.49 No.-
<P><B>Abstract</B></P> <P>A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curves of degree <I>d</I> over the finite field of <I>q</I> elements is also given for d ≥ q + 1 .</P>
Wide-field and two-photon imaging of brain activity with voltage- and calcium-sensitive dyes.
Homma, Ryota,Baker, Bradley J,Jin, Lei,Garaschuk, Olga,Konnerth, Arthur,Cohen, Lawrence B,Zecevic, Dejan Royal Society of London 2009 Philosophical transactions. Biological sciences Vol.364 No.1529
<P>This review presents three examples of using voltage- or calcium-sensitive dyes to image the activity of the brain. Our aim is to discuss the advantages and disadvantages of each method with particular reference to its application to the study of the brainstem. Two of the examples use wide-field (one-photon) imaging; the third uses two-photon scanning microscopy. Because the measurements have limited signal-to-noise ratio, the paper also discusses the methodological aspects that are critical for optimizing the signal. The three examples are the following. (i) An intracellularly injected voltage-sensitive dye was used to monitor membrane potential in the dendrites of neurons in in vitro preparations. These experiments were directed at understanding how individual neurons convert complex synaptic inputs into the output spike train. (ii) An extracellular, bath application of a voltage-sensitive dye was used to monitor population signals from different parts of the dorsal brainstem. We describe recordings made during respiratory activity. The population signals indicated four different regions with distinct activity correlated with inspiration. (iii) Calcium-sensitive dyes can be used to label many individual cells in the mammalian brain. This approach, combined with two-photon microscopy, made it possible to follow the spike activity in an in vitro brainstem preparation during fictive respiratory rhythms. The organic voltage- and ion-sensitive dyes used today indiscriminatively stain all of the cell types in the preparation. A major effort is underway to develop fluorescent protein sensors of activity for selectively staining individual cell types.</P>
Homma, Masaaki,Kim, Seon-Jeong,Yoo, Mi-Ja Korean Mathematical Society 2004 대한수학회보 Vol.41 No.1
In our previous paper (Bull. Korean Math. Soc. 37(2000), 493-505), we claimed a theorem on a certain subset of a projective space over a finite field (Theorem 3.1). Recently, however, Professor Kato pointed out that our proof does not work if the field consists of two elements. Here we give an alternative proof of the theorem for the exceptional case.
Homma, Shin,Maeda, Junji,Hanada, Naoya Techno-Press 2009 Wind and Structures, An International Journal (WAS Vol.12 No.4
Many tower-supported steel stacks have been constructed in Japan, primarily for economic reasons. However the dynamic behavior of these stacks under a strong wind is not well known and the wind load design standard for this type of a stack has not yet been formulated. In light of this situation, we carried out wind response observation of an operating tower-supported steel stack with and without a tuned-mass damper. The observation revealed the performance of the tuned-mass damper installed on the stack in order to control the wind-induced vibration. Based on the observed data, we performed a wind tunnel test of a specimen of the stack. In this paper we report the results of the wind tunnel test and some comparisons with the results of observation. Our findings are as follows: 1) the tuned-mass damper installed on the specimen in the wind tunnel test worked as well as the one on the observed stack, 2) the amplitude of the vortex-induced vibration of the specimen corresponded approximately to that of the observed stack, and 3) correlation between Scruton number and reduced amplitude, y/d, (y is amplitude, d is diameter) was confirmed by both the wind tunnel test and the observed results.