- Isomorphic Local Hardness and Possible Local Version of Hard–Soft Acids–Bases Principle

Keyword(s):  
2000 ◽  
pp. 60-67
Author(s):  
M. M. Nikitenko

The inclusion of Eastern Slavs in the sphere of religious and cultural influences of Byzantium was a tremendous event both in national and in world history. Since then, the main center of the culture of Kievan Rus, incorporating a complex of ideas and functions of the spiritual, public and private life of ancient Russian society, became the Eastern Christian temple in its local version


2020 ◽  
Vol 32 (4) ◽  
pp. 919-936 ◽  
Author(s):  
Jiao Chen ◽  
Wei Ding ◽  
Guozhen Lu

AbstractAfter the celebrated work of L. Hörmander on the one-parameter pseudo-differential operators, the applications of pseudo-differential operators have played an important role in partial differential equations, geometric analysis, harmonic analysis, theory of several complex variables and other branches of modern analysis. For instance, they are used to construct parametrices and establish the regularity of solutions to PDEs such as the {\overline{\partial}} problem. The study of Fourier multipliers, pseudo-differential operators and Fourier integral operators has stimulated further such applications. It is well known that the one-parameter pseudo-differential operators are {L^{p}({\mathbb{R}^{n}})} bounded for {1<p<\infty}, but only bounded on local Hardy spaces {h^{p}({\mathbb{R}^{n}})} introduced by Goldberg in [D. Goldberg, A local version of real Hardy spaces, Duke Math. J. 46 1979, 1, 27–42] for {0<p\leq 1}. Though much work has been done on the {L^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} boundedness for {1<p<\infty} and Hardy {H^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} boundedness for {0<p\leq 1} for multi-parameter Fourier multipliers and singular integral operators, not much has been done yet for the boundedness of multi-parameter pseudo-differential operators in the range of {0<p\leq 1}. The main purpose of this paper is to establish the boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} for {0<p\leq 1} recently introduced by Ding, Lu and Zhu in [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380].


Author(s):  
Yeong-Kwan Jo ◽  
Yeong-Wook Gil ◽  
Do-Sik Shim ◽  
Young-Sik Pyun ◽  
Sang-Hu Park

AbstractWe propose an effective method to control the local hardness and morphology of a metal surface by tilting the incident angle of a horn during ultrasonic nanocrystal surface modification (UNSM). In this study, surface treatment using UNSM was performed on an S45C specimen and a parameter study was conducted for optimization. The process parameters were the feeding rate, static load, striking force, and processing angle (Ф). In particular, the Ф was analyzed by tilting the horn by 0°, 10°, 20°, 30°, 40°, and 45° to understand its effect on surface hardness and changes in the morphology. From fundamental experiments, some important phenomena were observed, such as grain-microstructure changes along the processing and thickness directions. Furthermore, to verify the practical usefulness of this study, a flat and a hemispherical specimen of S45C material were treated using UNSM with various values of Ф. A significant change in hardness (an increase from 2–45%) and a gradual hardness gradient on the tested specimens could be easily realized by the proposed method. Therefore, we believe that the method is effective for controlling the mechanical hardness of a metal surface.


2019 ◽  
Vol 19 (1) ◽  
Author(s):  
María Urtasun ◽  
Federico Manuel Daray ◽  
Germán Leandro Teti ◽  
Fernando Coppolillo ◽  
Gabriela Herlax ◽  
...  

Abstract Background The Patient Health Questionnaire-9 (PHQ-9) is a brief tool to assess the presence and severity of depressive symptoms. This study aimed to validate and calibrate the PHQ-9 to determine appropriate cut-off points for different degrees of severity of depression in Argentina. Methods We conducted a cross-sectional study on an intentional sample of adult ambulatory care patients with different degrees of severity of depression. All patients who completed the PHQ-9 were further interviewed by a trained clinician with the Mini International Neuropsychiatric Interview (MINI) and the Beck Depression Inventory-II (BDI-II). Reliability and validity tests, including receiver operating curve analysis, were performed. Results One hundred sixty-nine patients were recruited with a mean age of 47.4 years (SD = 14.8), of whom 102 were females (60.4%). The local PHQ-9 had high internal consistency (Cronbach’s alpha = 0.87) and satisfactory convergent validity with the BDI-II scale [Pearson’s correlation = 0.88 (p < 0.01)]. For the diagnosis of Major Depressive Episode (MDE) according to the MINI, a PHQ-9 ≥ 8 was the optimal cut-off point found (sensitivity 88.2%, specificity 86.6%, PPV 90.91%). The local version of PHQ-9 showed good ability to discriminate among depression severity categories according to the BDI-II scale. The best cut off points were 6–8 for mild cases, 9–14 for moderate and 15 or more for severe depressive symptoms respectively. Conclusions The Argentine version of the PHQ-9 questionnaire has shown acceptable validity and reliability for both screening and severity assessment of depressive symptoms.


2001 ◽  
Vol 05 (02) ◽  
pp. 43-45 ◽  

Medrad to Produce Syringes in China. China Domestic Milk Producer Acquires Kraft's Operations in Beijing. Two New Portals on Agriculture and Medicine Launched in China. Taiwanese Company Plans Chinese Herbs AIDS Trials. Nestle India to Expand Product Range. India to Market Local Version of Viagra Soon. Zydus Cadila Collaborates with Danish Biotech Firm. Korean Company Develops Cancer DNA Chip. Northwest Airlines Welcomes Australian Heart Monitor on Board.


2014 ◽  
Vol 57 (1) ◽  
pp. 17-82 ◽  
Author(s):  
TUOMAS P. HYTÖNEN ◽  
ANTTI V. VÄHÄKANGAS

AbstractWe extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, ‘vector-valued’ means ‘taking values in a function lattice with the UMD (unconditional martingale differences) property’. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory.


2020 ◽  
Vol 52 (5) ◽  
pp. 871-884
Author(s):  
Francesco Pediconi
Keyword(s):  

2021 ◽  
Vol 15 (2) ◽  
pp. 272-283
Author(s):  
Alexey Nikolaevich Rassykhaev

The article analyzes the local version of veneration of St. Stephen of Perm among the Nivshera’s Komi. The microlocal folklore tradition of the village Nischera (Komi Republic) is geographically far from the place of residence of the first bishop of Perm and the main area (Lower Vychegda and Vym) of the spread of traditions about a religious saint, who was called the “Zyryansky Apostle”. Meanwhile, the chapel (now lost) in honor of the saint and the saved life icon in the small village Rusanovskaya helped preserve the memory of a religious figure in popular culture. The post-temple life of the icon is amazing: relatives of the shrines who saved from death made a vow to hold home services. According to the established model in the Nivshera tradition off-temple services began to be held also before the reproduction of the icon Stefan Perm. The work attempted to compare scenarios and strategies for conducting home worship in two places. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. The cult veneration of Stefan Perm in the Nivshera folklore tradition is evidenced by recorded oral stories about a saint who visited the Vishera District, climbing a boat along the river, expelled rats for a long time, saved the village from fire, and provides general patronage to the village Rusanovskaya.


2021 ◽  
Vol 73 (4) ◽  
pp. 115-124
Author(s):  
Fedor S. Korandej ◽  

The article, based on the corpus of Soviet geographical poetry dedicated to the Urals and Western Siberia, examines the infrastructure set up to represent industrial projects. The adopted approach to studying geographical images of the Soviet industrial expansion of the 1950–1970s relies on the ideas of the “infrastructural turn” in the social sciences and uses as a research tool the methodology of “distant reading”. The author argues that the goals of the late Soviet representational project cannot be reduced to direct propaganda or mobilization. It was formed as a local version of modern boosterism — an expansionist ideology characteristic of the situation of forced creation of new territorialities and aimed at the formation of patriotic identities in new settlement centers. The Late Soviet geographical poetry was the product of this Soviet representational infrastructure, and the quintessence of its ideology, functioning within the framework of consolidating rhetoric, and giving rise to the figure of the poet, who was identified with poems dedicated to a certain infrastructure project. The Soviet boosterism implied placing the representations of industrial projects in a situational administrative-social context, while simultaneously producing indirect infrastructural effects that were crucial for the formation of urban “normality”, subjectivity and identity. The article outlines the main stages of the formation of the Soviet representational infrastructure, standard forms of its functioning in the late Soviet period; it describes historical geography of this network in the Urals and Western Siberia, which assumed different forms of dealing with the projects for representation of which it was created.


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