Optical-Near Infrared Color Gradients of Elliptical Galaxies and Their Environmental Dependence

We have studied the environmental effect on optical-NIR color gradients of 273 nearby elliptical galaxies. Color gradient is a good tool to study the evolutionary history of elliptical galaxies, since the steepness of the color gradient reflects merging history of early types. When an elliptical galaxy goes through many merging events, the color gradient can be get less steep or reversed due to mixing of stars. One simple way to measure color gradient is to compare half-light radii in different bands. We have compared the optical and near infrared half-light radii of 273 early-type galaxies from Pahre(1999). Not surprisingly, we find that r$_{e}$(V)s (half-light radii measured in V-band) are in general larger than r$_{e}$(K)s (half-light radii measured in K-band). However, when divided into different environments, we find that elliptical galaxies in the denser environment have gentler color gradients than those in the less dense environment. Our finding suggests that elliptical galaxies in the dense environment have undergone many merging events and the mixing of stars through the merging have created the gentle color gradients.Comment: 3 pages, 2 figures. Proceedings of the 6th East Asian Meeting of Astronomy, held at Seoul National University, Korea, from October 18-22, 200

Uniform s-cross-intersecting families

In this paper we study a question related to the classical Erd\H{o}s-Ko-Rado theorem, which states that any family of $k$-element subsets of the set $[n] = \{1,\ldots,n\}$ in which any two sets intersect, has cardinality at most ${n-1\choose k-1}$. We say that two non-empty families are $\mathcal A, \mathcal B\subset {[n]\choose k}$ are {\it $s$-cross-intersecting}, if for any $A\in\mathcal A,B\in \mathcal B$ we have $|A\cap B|\ge s$. In this paper we determine the maximum of $|\mathcal A|+|\mathcal B|$ for all $n$. This generalizes a result of Hilton and Milner, who determined the maximum of $|\mathcal A|+|\mathcal B|$ for nonempty $1$-cross-intersecting families.Comment: This article was previously a portion of arXiv:1603.00938v1, which has been spli

Measuring γ\gamma in B±→K±(KK∗)DB^\pm \to K^\pm (K K^*)_D decays

We develop a method to measure the CKM angle $\gamma$ without hadronic uncertainties from the analysis of $B^\pm \to K^\pm D^0$ and K^\pm \D0bar followed by singly Cabibbo-suppressed $D$ decays to non CP-eigenstates, such as $K^\pm K^{*\mp}$. This method utilizes the interference between $b\to c\bar u s$ and $b\to u\bar c s$ decays, and we point out several attractive features of it. All the modes that need to be measured for this method are accessible in the present data.Comment: 8 page

A list of common expressions featuring the postposition ko.

The principal use of ko is to mark an object. In mE# ram ko btaËÅga “I’ll tell Ram”, ram is said to be the DIRECT object because the action of telling is done to him directly. In mE# yh toh¿Pa ram ko dUÅga “I’ll give this present to Ram”, ko means “to” and is used to mark the INDIRECT object ram; the direct object is yh toh¿Pa and does not take ko. Another use of ko is to pinpoint days of the week or times of day: gu<var ko “on Thursday”, subh ko “in the morning”, xam ko “in the evening”, rat ko “at night” (but idn me# “in the daytime”). So much for the primary uses of ko. The purpose of this handout is to list some of the very numerous constructions and expressions in which ko has a different function. While expressions such as “I have a cold” or “I like bananas” have “I” as subject in English, in Hindi this “logical subject” takes ko (muJko) and the cold or the banana becomes the grammatical subject, with which the verb agrees (¿jukam hE): muJko ¿jkam hE “I have a cold”, muJko kele psMd hE# “I like bananas”. Each of these expressions can refer to either a male or a female, because the pronoun has no gender. And muJko can of course be replaced by its synonym muJe. Familiarise yourself with this list by reading it aloud, and try some substitution exercises by changing the “I” to other pronouns and tenses — “She has a cold, they had a cold”, etc. Then read the note at the end.Asian Studie

LFV in semileptonic τ\tau decays and μ−e\mu-e conversion in nuclei in SUSY-seesaw

Here we review the main results of LFV in the semileptonic tau decays $\tau \to \mu PP$ ($PP = \pi^+ \pi^-, \pi^0 \pi^0, K^+ K^-, K^0 \bar{K}^0$), $\tau \to \mu P$ ($P = \pi, \eta, \eta^{\prime}$), and $\tau \to \mu V$ ($V = \rho, \phi$) as well as in $\mu-e$ conversion in nuclei within SUSY-seesaw scenarios, and compare our predictions with the present experimental boundsComment: Talk given by M. J. Herrero in SUSY08 conference, Seou