216,932 research outputs found
Japanese foreign policy today : a reader / edited by Inoguchi Takashi and Purnendra Jain.
No full textInoguchi Takashi and Purnendra JainIntroduction: Japan and the Three Frameworks of Global Politics--Takashi Inoguchi and Purnendra Jain ;
Foreign Policy Actors :
Domestic Politics and Foreign Policy--Akihiko Tanaka ;
Subnational Governments and NGOs in Foreign Affairs--Purnendra Jain ;
Institution Building and Policy Issues: Japan and International Organizations--Edward Newman ;
Globalization and Regionalization in Japan’s Foreign Policy--Chung-in Moon and Hankyu Park ;
Defense and Disarmament Issues in Japan--Jitsuo Tsuchiyama ;
Changes in Japan's Official Development Assistance--Akiko Fukushima ;
Japan's Role in Peacekeeping Operations and Humanitarian Assistance--Caroline Rose ;
Japan’s Contribution to International Human Rights--Ian Neary ;
Japan’s Global Environmental Policy--Hiroshi Ohta ;
Regional and Bilateral Relations :
Japan and the United States--Tsuneo Akaha ;
Japan and East Asia--Matake Kamiya ;
Japan and Southeast Asia--Lam Peng Er ;
Japan and South Asia--Purnendra Jain ;
Japan and the European Union--Reihnard Drifte ;
The Waiting Game: Japanese-Russian Relations--Chris Braddick ;
Japan and Australia--Rikki Kerste
A Direct Product Theorem for One-Way Quantum Communication
No full textWe prove a direct product theorem for the one-way entanglement-assisted quantum communication complexity of a general relation f ⊆ ××. For any 0 < ε < δ < 1/2 and any k≥1, we show that
Q¹_{1-(1-ε)^{Ω(k/log||)}}(f^k) = Ω(k⋅Q¹_{δ}(f)),
where Q¹_{ε}(f) represents the one-way entanglement-assisted quantum communication complexity of f with worst-case error ε and f^k denotes k parallel instances of f.
As far as we are aware, this is the first direct product theorem for the quantum communication complexity of a general relation - direct sum theorems were previously known for one-way quantum protocols for general relations, while direct product theorems were only known for special cases. Our techniques are inspired by the parallel repetition theorems for the entangled value of two-player non-local games, under product distributions due to Jain, Pereszlényi and Yao [Rahul Jain et al., 2014], and under anchored distributions due to Bavarian, Vidick and Yuen [Bavarian et al., 2017], as well as message compression for quantum protocols due to Jain, Radhakrishnan and Sen [Rahul Jain et al., 2005]. In particular, we show that a direct product theorem holds for the distributional one-way quantum communication complexity of f under any distribution q on × that is anchored on one side, i.e., there exists a y^* such that q(y^*) is constant and q(x|y^*) = q(x) for all x. This allows us to show a direct product theorem for general distributions, since for any relation f and any distribution p on its inputs, we can define a modified relation f̃ which has an anchored distribution q close to p, such that a protocol that fails with probability at most ε for f̃ under q can be used to give a protocol that fails with probability at most ε + ζ for f under p.
Our techniques also work for entangled non-local games which have input distributions anchored on any one side, i.e., either there exists a y^* as previously specified, or there exists an x^* such that q(x^*) is constant and q(y|x^*) = q(y) for all y. In particular, we show that for any game G = (q, ×, ×ℬ, ) where q is a distribution on × anchored on any one side with constant anchoring probability, then
ω^*(G^k) = (1 - (1-ω^*(G))⁵) ^{Ω(k/(log(||⋅|ℬ|)))}
where ω^*(G) represents the entangled value of the game G. This is a generalization of the result of [Bavarian et al., 2017], who proved a parallel repetition theorem for games anchored on both sides, i.e., where both a special x^* and a special y^* exist, and potentially a simplification of their proof
A family of equivalent norms for Lebesgue spaces
No full textIf ψ: [0 , l] → [0 , ∞[is absolutely continuous, nondecreasing, and such that ψ(l) > ψ(0) , ψ(t) > 0 for t> 0 , then for f∈ L1(0 , l) , we have ‖f‖1,ψ,(0,l):=∫0lψ′(t)ψ(t)2∫0tf∗(s)ψ(s)dsdt≈∫0l|f(x)|dx=:‖f‖L1(0,l),(∗)where the constant in ≳ depends on ψ and l. Here by f∗ we denote the decreasing rearrangement of f. When applied with f replaced by | f| p, 1 < p< ∞, there exist functions ψ so that the inequality ‖|f|p‖1,ψ,(0,l)≤‖|f|p‖L1(0,l) is not rougher than the classical one-dimensional integral Hardy inequality over bounded intervals (0 , l). We make an analysis on the validity of (∗) under much weaker assumptions on the regularity of ψ, and we get a version of Hardy’s inequality which generalizes and/or improves existing results
Teleogryllus rohinae Jaiswara & Jain 2021, sp. nov.
No full textTeleogryllus rohinae Jaiswara & Jain, sp. nov. Figures 1, 4A–H, 5E, 6D, 7E, 8C, 9D, 10I–L, 11E–F & 12; Table 3 Type locality: India, Kerala, Nileshwar, Bekal Club, 5km from Nileshwar Railway Station. Type material: Holotype — INDIA: Kerala, Bekal Club, 8km from Nileshwar Railway Station, 1 male (MJO _ 1177), 7m asl, 12° 16′ 20. 3′′ N 75° 6′ 47.4′′ E, 24.i.2017, R. Jaiswara and M. Jain, ZSI Kolkata. Allotype — INDIA: Kerala, Bekal Club, 8km from Nileshwar Railway Station, 1 female (MJO _1169), 7m asl, 12° 16′ 20. 3′′ N 75° 6′ 47. 4′′ E, 24.i.2017, R. Jaiswara and M. Jain, ZSI Kolkata. Paratypes — INDIA: Kerala, Bekal Club, 12° 16′ 20.3′′ N 75° 6′ 47.4′′ E, 7m asl, 8km from Nileshwar Railway Station, 24.i.2017, 5 male (MJO _1175–1179) and 5 female (MJO _1159–1163), collected by R. Jaiswara and M. Jain, thereafter deposited in IISER Mohali. Distribution: Currently known only from the type locality. Etymology: This new species is named in honour of Professor Rohini Balakrishnan, Centre for Ecological Sciences, Indian Institute of Science, Bangalore, for introducing RJ and MJ to the cricket model system and in recognition of her significant contribution to the understanding of the behaviour and ecology of Indian crickets. Name in apposition—gender feminine. Habitat: T. rohinae Jaiswara & Jain sp. nov. was primarily found in Cucurbitaceae plantations and sometimes on open grassland areas having moist soil. Diagnosis: Very similar to T. occipitalis (Serville, 1838) in external morphology, but mainly differing in male (Fig. 10I–K) and female (Fig. 11E–F) genitalia structures. T. rohinae Jaiswara & Jain, sp. nov. also resembles T. emma (Ohmachi & Matsuura, 1951). Still, according to the morphological descriptions of T. emma by Libin et al. (2015), it differs mainly in the male genitalia (female genitalia not known for T. emma). Male. FW stridulatory apparatus: stridulatory file with 235 to 252 teeth (mean 242, n=3); harp with 4–6 usually (occasionally 3). Description: In addition to the characters of the genus: medium sized cricket very similar to T. occipitalis. Legs. TIII with 5–6 inner and 6–7 outer sub-apical spurs; basitarsomeres III with 3–4 inner and 5–7 outer spines. Color. Body, head and pronotum dark brown (Fig. 3A–B, 5E & 6D). Inner margins of eyes with a thick yellow band (Fig. 10L), sometimes wide enough to make vertex look yellowish. Male. FW covering the epiproct fully or slightly longer (Fig. 5E), HW always longer than abdomen; harp with 3–4 regularly spaced oblique veins with a horizontal middle part (sometimes 1–2 faint veins at the angle of 1 st anal vein) (Fig. 7E). Stridulatory file with 235 to 252 teeth (mean 242, n=3); teeth on the stridulatory vein as on Fig. 8C. Mirror longer than wide; apical field with 4–5 cell alignments; lateral field with 12–13 veins (Fig. 7E). Male genitalia. Pseudepiphallic sclerite rather square-shaped in dorsal view, posterior margin slightly pointed from the middle, vertex rounded and smooth with convex lateral margins and almost at the level of median structure (Fig. 10I). In lateral view: pseudepiphallic sclerite very similar to T. occipitalis and T. emma; pseudepiphallic apodeme as wide as its base (Fig. 10J–K). Female. Body size slightly bigger than males. FWs overlapping 2/3 rd of its width, length restricted up to 7 th abdominal tergite or extended slightly beyond epiproct; dorsal field with 11 diagonally parallel longitudinal veins; lateral field with 11–13 veins (Fig. 9D). HWs very long extended beyond the abdomen (Fig. 6D). Female genitalia. Copulatory organ sharply tapering anteroposterior and sclerotized posteriorly (Fig. 11E, F). Acoustic signal: Calls of T. rohinae consist of two kinds of chirps (long and short) interspersed with each other (Fig. 12A). The short chirps are 0.402 ± 0.024s while the longer chirps are more variable with a chirp duration of 0.677 ± 0.331s (mean SD). The short chirps consist of 6.35 0.93 syllables, while the longer chirps consist of 19.5 ± 8.6 syllables per chirp (mean ±SD). While T. rohinae Jaiswara & Jain s p. nov. and T. emma have similar call patterns with long and short calls, they vary in the number of syllables per chirp. Further, the dominant frequency for T. emma has been reported to be 3.7 kHz (Lu et al. 2018), whereas, for T. rohinae, we determined it to be at 5.3 ± 0.16 kHz (Fig. 12B).Published as part of Jaiswara, Ranjana, Desutter-Grandcolas, Laure & Jain, Manjari, 2021, Taxonomic revision of Teleogryllus mitratus (Burmeister, 1838) and T. occipitalis (Serville, 1838) in India, withthe description of Teleogryllus rohinae Jaiswara & Jain sp. nov. and a key for Teleogryllus species from India (Orthoptera: Gryllidae), pp. 81-106 in Zootaxa 5016 (1) on pages 91-93, DOI: 10.11646/zootaxa.5016.1.3, http://zenodo.org/record/522184
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