scholarly journals Properly embedded minimal annuli in $\mathbb{S}^2 \times \mathbb{R}$

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
L Hauswirth ◽  
M Kilian ◽  
M U Schmidt

Abstract We prove that every properly embedded minimal annulus in $\mathbb{S}^2\times\mathbb{R}$ is foliated by circles. We show that such minimal annuli are given by periodic harmonic maps $\mathbb{C} \to \mathbb{S}^2$ of finite type. Such harmonic maps are parameterized by spectral data, and we show that continuous deformations of the spectral data preserve the embeddedness of the corresponding annuli. A curvature estimate of Meeks and Rosenberg is used to show that each connected component of spectral data of embedded minimal annuli contains a maximum of the flux of the third coordinate. A classification of these maxima allows us to identify the spectral data of properly embedded minimal annuli with the spectral data of minimal annuli foliated by circles.

2018 ◽  
pp. 4-7
Author(s):  
S. I. Zenko

The article raises the problem of classification of the concepts of computer science and informatics studied at secondary school. The efficiency of creation of techniques of training of pupils in these concepts depends on its solution. The author proposes to consider classifications of the concepts of school informatics from four positions: on the cross-subject basis, the content lines of the educational subject "Informatics", the logical and structural interrelations and interactions of the studied concepts, the etymology of foreign-language and translated words in the definition of the concepts of informatics. As a result of the first classification general and special concepts are allocated; the second classification — inter-content and intra-content concepts; the third classification — stable (steady), expanding, key and auxiliary concepts; the fourth classification — concepts-nouns, conceptsverbs, concepts-adjectives and concepts — combinations of parts of speech.


2011 ◽  
pp. 143-147
Author(s):  
L. G. Naumova ◽  
V. B. Martynenko ◽  
S. M. Yamalov

Date of «birth» of phytosociology (phytocenology) is considered to be 1910, when at the third International Botanical Congress in Brussels adopted the definition of plant association in the wording Including Flaó and K. Schröter (Flahault, Schröter, 1910; Alexandrov, 1969). The centenary of this momentous event in the history of phytocenology devoted to the 46th edition of the Yearbook «Braun-Blanquetia», which began to emerge in 1984 in Camerino (Italy) and it has a task to publish large geobotanical works. During the years of the publication of the Yearbook on its pages were published twice work of the Russian scientists — «The steppes of Mongolia» (Z. V. Karamysheva, V. N. Khramtsov. Vol. 17. 1995), and «Classification of continental hemiboreal forests of Northern Asia» (N. B. Ermakov in collaboration with English colleagues and J. Dring, J. Rodwell. Vol. 28. 2000).


Molecules ◽  
2021 ◽  
Vol 26 (4) ◽  
pp. 915
Author(s):  
Diding Suhandy ◽  
Meinilwita Yulia

As a functional food, honey is a food product that is exposed to the risk of food fraud. To mitigate this, the establishment of an authentication system for honey is very important in order to protect both producers and consumers from possible economic losses. This research presents a simple analytical method for the authentication and classification of Indonesian honeys according to their botanical, entomological, and geographical origins using ultraviolet (UV) spectroscopy and SIMCA (soft independent modeling of class analogy). The spectral data of a total of 1040 samples, representing six types of Indonesian honey of different botanical, entomological, and geographical origins, were acquired using a benchtop UV-visible spectrometer (190–400 nm). Three different pre-processing algorithms were simultaneously evaluated; namely an 11-point moving average smoothing, mean normalization, and Savitzky–Golay first derivative with 11 points and second-order polynomial fitting (ordo 2), in order to improve the original spectral data. Chemometrics methods, including exploratory analysis of PCA and SIMCA classification method, was used to classify the honey samples. A clear separation of the six different Indonesian honeys, based on botanical, entomological, and geographical origins, was obtained using PCA calculated from pre-processed spectra from 250–400 nm. The SIMCA classification method provided satisfactory results in classifying honey samples according to their botanical, entomological, and geographical origins and achieved 100% accuracy, sensitivity, and specificity. Several wavelengths were identified (266, 270, 280, 290, 300, 335, and 360 nm) as the most sensitive for discriminating between the different Indonesian honey samples.


1902 ◽  
Vol 2 (9) ◽  
pp. 480-481
Author(s):  
V. Serbskiy

In the first part of his article, the author examines the current state of the issue of secondary dementia and proves that a group of psychoses, known under the name secondary dementia, should be left in the classification of mental illnesses. The second part is devoted to the analysis of Krpelin's scholarship on dementia praecox, and the author fundamentally disagrees with many of the provisions of the latter. In the third part, the ethiology, clinical course and recognition of premature dementia are analyzed.


Author(s):  
Ingars Gusāns

The aim of the study is to describe the titles of Latvian metal music albums, from the perspective of content, by identifying the common and distinctive character of the metallic music tradition, and perhaps even the local one. Of 241 album titles (data on Dec. 31, 2019), most are in English, some in French, Latin, Russian, some consisting of digits, and 69 titles in Latvian. These titles are the subject of the research. The main source is Encyclopaedia Metallum (www.metal-archives.com), which still does not reflect the current situation concerning Latvian metal music. Album titles in this study are viewed separately from album designs and song titles and are analysed from the perspective of content. The album title is an important part of the work that has been issued because it is an element that makes the audience/buyer pay attention to the album because it must not be forgotten that today the album is also an item that you want to sell. In general, it can be concluded that Latvian metal musicians, with their album titles in Latvian, are mostly following world trends, as evidenced by the integration in the researcher Deena Weinstein’s classification of Dionysian discourse and discourse on chaos. Most titles are more relevant to the discourse on chaos because the thematic circle of chaos is wider. Latvian mythology, along with history, is an up-to-date source for the creative work of bands that is responsible for the local feeling of the titles. A large enough number are titles that are difficult to fit in the Weinstein’s division and form the third group with philosophical titles and simply all sorts of titles. If the philosophical titles follow the world’s trends, the simple titles include the names of the events, tributes, and the titles of literary works, which give them a local character.


1972 ◽  
Vol os-19 (5) ◽  
pp. 214-218
Author(s):  
David Scorza

Folklore among the Au of Papua New Guinea takes three forms: Tipiitim Tipiir, tales told the ancestors by the spirits; Tipiitim Herwe, tales invented by the ancestors; and Him, tales invented by the older men. The first are basically etiological, the second provide emotional release and entertainment, and the third show attempts to cope with the cultural flux which followed the arrival of Europeans. Certain Scriptural parallels are explored, with their implications for crosscultural communication of the gospel.


2021 ◽  
Author(s):  
Ernan Santiesteban Naranjo ◽  
Kenia María Velázquez Avila ◽  
Niurka Góngora Mena

Teach reading is a book that is composed by six chapters. The fist, is devoted for the definition of text and its taxonomy. It concludes with the requirements for choosing a didactic text. The second, is dedicated for the definition, analysis and classification of reading. The third is devoted to associated disorders related to the reading process. The fourth, contrasts the traditionalist reading instruction against dynamic-participatory didactic for the teaching-learning process of reading, where it is emphasized on reading participatory methods and techniques. The fifth, is attentive to the generalized reading skill, invariant skill and reading competence. Finally, the sixth is committed to dynamic-participatory didactic strategy for teaching reading,


1993 ◽  
Vol 17 (1) ◽  
pp. 287-298 ◽  
Author(s):  
Bang-yen Chen ◽  
Susumu Ishikawa

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