Matrix models for $$\varvec{\varepsilon }$$-free independence

We investigate tensor products of random matrices, and show that independence of entries leads asymptotically to $$\varepsilon $$ ε -free independence, a mixture of classical and free independence studied by Młotkowski and by Speicher and Wysoczański. The particular $$\varepsilon $$ ε arising is prescribed by the tensor product structure chosen, and conversely, we show that with suitable choices an arbitrary $$\varepsilon $$ ε may be realized in this way. As a result, we obtain a new proof that $$\mathcal {R}^\omega $$ R ω -embeddability is preserved under graph products of von Neumann algebras, along with an explicit recipe for constructing matrix models.

The Effect of Independence, Learning Quality, And Learning Motivation on Swimming Learning Outcomes

The purpose of this study was to determine the effect of independence, learning quality and learning motivation on swimming learning outcomes. The research sample was 30 participants in the Telaga Bestari Swimming Pool Course at Cikupa, Tangerang. The research approach used in this study is a multivariate associative approach, with survey methods and non-test techniques by distributing questionnaires. The technique used is the path analysis technique at a significance level of 0.05. In general, the results of research based on the results of path analysis testing for each hypothesis obtained P-value <0.05 significance level, which means that each research hypothesis (H1) is accepted. Which means that the conclusion of each research finding shows (1) there is a direct influence between each independent variable (Independence (X1), Learning Quality (X2), and Learning Motivation (X3)), (2) and there is a positive direct effect of each variable. free {Independence (X1), Learning Quality (X2), and Learning Motivation (X3) on Swimming Learning Outcomes (Y). Thus the results of learning swimming can be influenced through increased independence, learning quality and learning motivation.

Schwinger’s picture of quantum mechanics IV: Composition and independence

The groupoid description of Schwinger’s picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their independence. Physical subsystems have a neat algebraic description as subgroupoids of the Schwinger’s groupoid of the system. The groupoid picture offers two natural notions of composition of systems: Direct and free products of groupoids, that will be analyzed in depth as well as their universal character. Finally, the notion of independence of subsystems will be reviewed, finding that the usual notion of independence, as well as the notion of free independence, find a natural realm in the groupoid formalism. The ideas described in this paper will be illustrated by using the EPRB experiment. It will be observed that, in addition to the notion of the non-separability provided by the entangled state of the system, there is an intrinsic “non-separability” associated to the impossibility of identifying the entangled particles as subsystems of the total system.

The Sky in an Ant’s Egg: Ġhālib’s Structural Poetics

Some of the most important structural patterns and devices used in individual ghazal verses by the famous poet Mirza Asadullah Khan ‘Ghalib’ are identified and analyzed; their literary effectiveness is illustrated with examples and discussion. In particular, the paper considers two such patterns. One set of verses have a ‘twist’ to them, such that the reader (or, ideally, hearer) is first misled or confused, then at the last possible moment is suddenly and almost explosively enlightened. Another set of verses create an inherently unresolvable ‘tangle’ of several possible meanings which cannot be either affirmed or rejected on any non-arbitrary grounds. The context-free independence of such small ghazal verses, together with their division into two formally distinct and performatively separated lines, makes for unusual poetic constraints and opportunities. The author has prepared an extensive commentarial website on the poetry of Ghalib and Mir.

PENELITIAN LAKUAN BAHASA PUJIAN DALAM KOMUNIKASI SILANG BUDAYA PELANCONGAN MALAYSIA[EXAMINING THE COMPLIMENTARY SPEECH ACT IN INTERCULTURAL COMMUNICATION DURING MALAYSIAN TOURISM]

Pujian merupakan salah satu lakuan bahasa yang dikenal pasti berupaya melancarkan komunikasi. Namun sekiranya diujarkan dalam komunikasi silang budaya, ianya bukan hanya berbeza dari pengaplikasiannya malah berbeza dari segi penyampaian, kekerapan dan fungsinya. Objektif kajian ialah meneliti lakuan bahasa pujian dalam bahasa Jepun oleh pemandu pelancong Malaysia berbahasa Jepun terhadap pelancong Jepun di sepanjang sesi lawatan pemanduan pelancongan. Kajian ini adalah kajian kualitatif daripada data rakaman audio, visual dan catatan pemerhatian terhadap interaksi empat orang pemandu pelancong berbangsa Melayu menggunakan bahasa Jepun semasa berinteraksi dengan 12 orang pelancong Jepun pada empat set sesi lawatan pemanduan pelancongan pakej Free Independence Travellers (FIT). Dapatan kajian menunjukkan pengujaran pujian dari segi fungsi, strategi dan penggunaan topik adalah bertepatan dengan budaya sasaran walaupun dalam konteks pertembungan budaya. Walau bagaimanapun, corak maklum balas terhadap pengujaran pujian oleh pelancong Jepun didapati melangkaui dan tidak menepati norma dan aturan sosial yang sepatutnya dalam budaya Jepun. Pengujaran pujian yang diaplikasikan dalam konteks silang budaya ini walaupun bercanggahan dengan norma budaya, ia tidak cenderung ke arah tercetusnya konflik. Kajian ini memberi pendedahan berkenaan pengujaran pujian yang seharusnya kepada para pemandu pelancong semasa mengendalikan sesi lawatan kerana dengan pengujaran pujian yang bersesuaian akan dapat meningkatkan lagi kelancaran komunikasi yang menggunakan medium bahasa Jepun. Kajian ini diharapkan akan menjadi rujukan kepada mereka yang terlibat dalam pendidikan bahasa Jepun untuk pelancongan dan menjadi panduan dalam meningkatkan penguasaan komunikasi silang budaya.Kata kunci: Lakuan bahasa pujian, pemanduan pelancongan, pemandu pelancong, pelancong Jepun, pujian. ABSTRACTA compliment is one of the speech acts that has been identified as being able to enhance communication fluency. However, if the compliment is uttered in the context of cross-cultural communication, it is not only different in its application, but also different in its way of delivery, frequency and function. This study examines the complimentary speech act used in the Japanese language of Japanese-speaking Malaysian tour guides when used towards Japanese tourists throughout their guided tour sessions. This study is a qualitative study and the data were collected through audio, visual and observational notes on the interaction of four Malay tour guides when using the Japanese language while interacting with 12 Japanese tourists during four sets of guided tours, as part of a Free Independence Travel (FIT) package. The findings show that the complimentary speech in terms of the function, strategy, and topic choice by the tour guides is accurate for the target culture. However, the response patterns by the Japanese tourists towards the complimentary speech in this cultural encounter were beyond and did not conform to the supposed norms and social rules of Japanese culture. Although the complimentary speech that was applied in this cross-cultural context was contradictory to or beyond the cultural norms, it nevertheless did not lead to conflicts. This study provides exposure on the utterance of complementary speech used by tour guides during the course of the tour visits because this will enhance the smoothness in the flow of cross-cultural communication using the medium of the Japanese language. This research is hoped to act as a reference in Japanese language education for tourism as a guide to enhance the cross-cultural communication skills of Japanese-speaking tour guides in Malaysia.Keywords: Compliments, compliment speech act, guided tour session, Japanese tourist, tour guide.Cite as: Abdul Rashid, R., Masutani, S., Mansor, N. R., Mamat, R., Chua Abdullah, N. A., & Zakaria, R. (2019). Penelitian lakuan bahasa pujian dalam komunikasi silang budaya pelancongan Malaysia. Journal of Nusantara Studies, 4(1), 23-48. http://dx.doi.org/10.24200/jonus.vol4iss1pp23-48

Quantum symmetries on noncommutative complex spheres with partial commutation relations

We introduce the notion of noncommutative complex spheres with partial commutation relations for the coordinates. We compute the corresponding quantum symmetry groups of these spheres, and this yields new quantum unitary groups with partial commutation relations. We also discuss some geometric aspects of the quantum orthogonal groups associated with the mixture of classical and free independence discovered by Speicher and Weber. We show that these quantum groups are quantum symmetry groups on some quantum spaces of spherical vectors with partial commutation relations.

Approximation of a free Poisson process by systems of freely independent particles

Let [Formula: see text] be a non-atomic, infinite Radon measure on [Formula: see text], for example, [Formula: see text] where [Formula: see text]. We consider a system of freely independent particles [Formula: see text] in a bounded set [Formula: see text], where each particle [Formula: see text] has distribution [Formula: see text] on [Formula: see text] and the number of particles, [Formula: see text], is random and has Poisson distribution with parameter [Formula: see text]. If the particles were classically independent rather than freely independent, this particle system would be the restriction to [Formula: see text] of the Poisson point process on [Formula: see text] with intensity measure [Formula: see text]. In the case of free independence, this particle system is not the restriction of the free Poisson process on [Formula: see text] with intensity measure [Formula: see text]. Nevertheless, we prove that this is true in an approximative sense: if bounded sets [Formula: see text] ([Formula: see text]) are such that [Formula: see text] and [Formula: see text], then the corresponding particle system in [Formula: see text] converges (as [Formula: see text]) to the free Poisson process on [Formula: see text] with intensity measure [Formula: see text]. We also prove the following [Formula: see text]-limit: Let [Formula: see text] be a deterministic sequence of natural numbers such that [Formula: see text]. Then the system of [Formula: see text] freely independent particles in [Formula: see text] converges (as [Formula: see text]) to the free Poisson process. We finally extend these results to the case of a free Lévy white noise (in particular, a free Lévy process) without free Gaussian part.