scholarly journals Locally Supported Orthogonal Wavelet Bases on the Sphere via Stereographic Projection

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Daniela Roşca ◽  
Jean-Pierre Antoine

The stereographic projection determines a bijection between the two-sphere, minus the North Pole, and the tangent plane at the South Pole. This correspondence induces a unitary map between the correspondingL2spaces. This map in turn leads to equivalence between the continuous wavelet transform formalisms on the plane and on the sphere. More precisely, any plane wavelet may be lifted, by inverse stereographic projection, to a wavelet on the sphere. In this work we apply this procedure to orthogonal compactly supported wavelet bases in the plane, and we get continuous, locally supported orthogonal wavelet bases on the sphere. As applications, we give three examples. In the first two examples, we perform a singularity detection, including one where other existing constructions of spherical wavelet bases fail. In the third example, we show the importance of the local support, by comparing our construction with the one based on kernels of spherical harmonics.

1930 ◽  
Vol 62 (11) ◽  
pp. 239-246
Author(s):  
W. J. Brown

Length 2.3-2.4 mm. ; width 1.1 mm. Elongate, suboval, moderately convex, fulvo-pubescent. Piceous with distinct aeneous lustre; each elytron with two yellow spots; the one as long as wide, including hunerus and basal margin and extending inwardly to the third interval; the other elongate oval and slightly oblique, extending from apical third to a point near apex.


1965 ◽  
Vol 16 (1) ◽  
pp. 78-87
Author(s):  
D. P. Erdbrink ◽  
H. R. Van Heekeren

Abstract. The first indications of the existence of fluviatile terraces in E. Anatolia were reported recently by Izbirak (1962) and Ketin (1962). The present authors have made a rapid and superficial exploration of a terrace system containing a maximum of five to seven different levels along the upper reaches of the great Kizil Irmak or Red River between Sivas and Kayseri in E. Anatolia. This region partly overlaps, but lies mostly to the North of the region described by Izbirak. It appears that the terrace levels are fairly constant along the mentioned stretch of the river. They disappear suddenly farther downstream. With Izbirak the present authors are of opinion that the formation of these terraces is probably due to tectonic activities in the first place and only secondarily to climatic influences. One terrace level, the third (counting from the lowest level) consistently contained a very limited number of what the authors suppose to be primitive artefacts, among which there are some pebble-tools. These are described in the paper; they may indicate the presence of hominids in Turkey during the earliest part of the Pleistocene. In one case a fossil molar of a Hipparion was found in this third level in situ, partly covered by the same petrified red loam which also enveloped some of the supposed artefacts. No exact dating of the terraces is as yet possible, but it may be inferred that the oldest and highest ones are Tertiary, the one containing the artefacts perhaps lowermost Pleistocene, and the lowest ones young Pleistocene or even Holocene. Some time ago Izbirak (1962) published a geomorphological study of part of the region along the upper reaches of the Kizil Irmak in Turkey. Without being aware of the results of this study, the present authors made some observations in almost the same area. Although of a different nature these coincide very well with Izbirak's conclusions. Thanks to a grant-in-aid assigned to one of us by the Wenner-Gren Foundation for Anthropological Research at New York, the voyage, and the collecting of material in Turkey, was made possible. We would like to thank the authorities of this Foundation for the rendering of this financial aid; the authorities of the Netherlands Embassy at Ankara, and Professor A. A. Cense at Istanbul, should receive our thanks and gratitude for the aid and advice given us during our stay The region visited by us was part of the upper valley of the Kizil Irmak, the Halys river of ancient times, lying between the cities of Sivas and Kayseri. Our observations began immediately downstream from Sivas at both sides of the river over a continuous stretch of approximately 20 kilometres. Lower downstream a number of traverses at right angles to the river valley's axis was made.


1989 ◽  
Vol 26 (8) ◽  
pp. 1567-1573 ◽  
Author(s):  
P. H. Reynolds

40Ar/39Ar age spectrum data are presented for amphibole and biotite from four dykes representing the diabase swarm in the Mealy Mountains Terrane, Grenville Province, Labrador. An amphibole plateau age of ca. 1215 Ma is recorded by two of the dykes. A third amphibole records a younger age (ca. 1150 Ma) through an apparent veil of excess radiogenic argon. It is suggested that the ca. 1215 Ma age may closely approximate the time of dyke intrusion; the third amphibole, from a dyke relatively close to the terrane boundary, may have been significantly overprinted by heat associated with the Grenville Orogeny. Two of the four biotite age spectra are discordant; apparent ages range from ~980 to 1060 Ma. It is suggested that Grenvillian reheating caused gas loss from all four biotites, the loss having been complete in two, including the one closest to the terrane boundary.Mealy dyke B paleopoles plot on and about the Grenville Track close to the calibrated 980 Ma point. This observation is consistent with observed magnetic "unblocking" temperatures, taken in conjunction with the extent of Grenvillian reheating as estimated from the biotite data. It is suggested that the Mealy A magnetization is much older and cannot be used to define the eastern (descending) arm of the Grenville apparent polar wander track. A plausible structural correction (to compensate for Grenvillian thrusting) could bring the A paleopoles close to the ca. 1200–1250 Ma point on the North American polar wander track; the latter is considered to be the most likely age.


2004 ◽  
Vol 34 (136) ◽  
pp. 455-468
Author(s):  
Hartwig Berger

The article discusses the future of mobility in the light of energy resources. Fossil fuel will not be available for a long time - not to mention its growing environmental and political conflicts. In analysing the potential of biofuel it is argued that the high demands of modern mobility can hardly be fulfilled in the future. Furthermore, the change into using biofuel will probably lead to increasing conflicts between the fuel market and the food market, as well as to conflicts with regional agricultural networks in the third world. Petrol imperialism might be replaced by bio imperialism. Therefore, mobility on a solar base pursues a double strategy of raising efficiency on the one hand and strongly reducing mobility itself on the other.


2011 ◽  
Vol 13 (2) ◽  
pp. 201-171
Author(s):  
Nāṣir Al-Dīn Abū Khaḍīr

The ʿUthmānic way of writing (al-rasm al-ʿUthmānī) is a science that specialises in the writing of Qur'anic words in accordance with a specific ‘pattern’. It follows the writing style of the Companions at the time of the third caliph, ʿUthmān b. ʿAffān, and was attributed to ʿUthmān on the basis that he was the one who ordered the collection and copying of the Qur'an into the actual muṣḥaf. This article aims to expound on the two fundamental functions of al-rasm al-ʿUthmānī: that of paying regard to the ‘correct’ pronunciation of the words in the muṣḥaf, and the pursuit of the preclusion of ambiguity which may arise in the mind of the reader and his auditor. There is a further practical aim for this study: to show the connection between modern orthography and the ʿUthmānic rasm in order that we, nowadays, are thereby able to overcome the problems faced by calligraphers and writers of the past in their different ages and cultures.


EMPIRISMA ◽  
2008 ◽  
Vol 27 (2) ◽  
Author(s):  
Fathimatuz Zahra Dan Abdul Azis

Pati is a region on the north coast, according to the hypothesis of the researcher, the region is divided into three categories. The northern regions are more religious, the central is more plural, while the southern region is in the middle. In the central region there are many relics of tombs believed to be the those of the Muslim proselytizers in the area of Pati. The one that attracts the researcher is a tomb in the Gambiran area, where there are five local Muslim saints buried, one of them belons to mbah Hendro Kusumo, the son of Syech Ahmad Mutamakkin. This article attempts to trace back the spreading of Islam in Pati based on the existence of thetomb of Mbah Hendro Kusumo. It wants to answer question of whethere the existence of his tomb is due to his studying there or marital relationship, and how it relates to the spreading of Islam.Keywords: Mbah Hendro Kusumo, Traces of Islamic Dakwah, Islam


2013 ◽  
pp. 32-47
Author(s):  
S. V. Osipov

Geobotanical mapping of the territory in riverheads Bureya of 4500 sq.km is carried out and the map of a actual vegetation cover of scale 1 : 200 000 is prepared. The legend of the map is presented in the form of the text with three-level hierarchy of classes. At the heart of structure of a legend of the map such regularities of a vegetation cover, as its latitudinal zonality / altitudinal belts, situation in a relief and dynamic series lie. The largest divisions of the legend reflect, first, change of large classes of mesocombinations of vegetation at the level of belts and, secondly, distinction in a boreal - forestry belt between a vegetation cover of tops and slopes of mountains, on the one hand, and the bottoms of river valleys, with another. Divisions of the legend of the second level reflect, first, vegetation changes in the form of high-rise and barrier changes of subbelts, secondly, distinctions of a vegetation cover in different geomorphological conditions (small and average river valleys, northern slopes, etc.). Divisions of the legend of the second level correspond to dynamic series of units of the third level. Essential addition to it are block diagrams of dynamics of a vegetation cover.


Author(s):  
Andrei Sokolov ◽  
Andrei Sokolov ◽  
Boris Chubarenko ◽  
Boris Chubarenko

Three dumping sites located at the south-eastern part of the Baltic Sea (Kaliningrad Oblast) at shallow depths are considered. The first one is located to the south of the Vistula Lagoon inlet in front of a permanently eroded open marine shore segment. The second one is located to the north of the Vistula Lagoon inlet, and is used now for disposing of dredged material extracted from the Kaliningrad Seaway Canal. The third dumping site is located near the northern shore of the Sambian Peninsula to the east of the Cape Gvardeijski and assigned for disposing the dredged material extracted from the fairway to the Pionerskij Port located nearby. The last site is planned to be used for disposing of dredged material from the future port that should be constructed there before the beginning of the FIFA World Cup 2018. All three dumping sites are located not far from the eroded segments of the shore. The question behind the study is: would it possible that disposed material will naturally transported from the damping site to the shore and accumulate there to protect it from erosion? A numerical hydrodynamic-transport 3D model (MIKE) was used to model sediment transport under different wind actions. The winds with the speed stronger than 15 m/s complete wash out disposed material from the dumping site and spreading it over the wide area with a negligible layer thickness. Winds of about 7-10 m/s transport material along the shore at a distance of few kilometers that may be useful for shore protection. The first location of the dumping site (to the south of the Vistula Lagoon inlet) looks very ineffective for potential protection the shore nearby. At the other hand, the second and especially the third locations are favorable for transport of disposed material to the shore, the most favorable conditions are at onshore or alongshore currents.


Author(s):  
Х.М. Хетагуров

Кленовники Северного Кавказа – особый тип лесных формаций. Особенность проявляется не только в структуре фитоценозов, но и в способах самовозобновления. Объект исследования – чистые и смешанные кленовники в нескольких урочищах РСО-Алания. Объекты расположены в различных условиях горного рельефа и на разной высоте над уровнем моря, от 1100 до 1900 м. Целью исследования является установление особенностей семенного возобновления кленовников, произрастающих в верхнем поясе распространения лесов на Северном Кавказе. Для достижения поставленной цели устанавливали время цветения и созревания семян по вертикальным поясам распространения кленовников. Обилие цветения и средний балл плодоношения устанавливали по В.Г. Капперу. Биометрические характеристики семян определяли по урочищам в трех повторностях. Учет подроста проводили на круговых учетных площадках по 10 м2, в соответствии с методикой А.В. Грязькина. Установлено, что цветение клена Траутфеттера начинается 10–14 мая и заканчивается в третьей декаде мая. Семена начинают созревать к концу августа – к началу сентября. Сроки опадения семян растянуты. Часть семян попадает на почву до начала листопада, поэтому они оказываются погребенными под опадом. Такие семена быстро теряют всхожесть, выпревают. Другая часть опадает вместе с листьями. Третья категория семян (самые легкие) держатся на деревьях до декабря и даже до весны. Естественное возобновление клена семенами под пологом материнского древостоя сильно затруднено из-за мощного травяного покрова. В древостое с сомкнутым пологом доля цветущих и плодоносящих деревьев составляет 2–3%, а средний балл плодоношения составляет 1,3. Освещенность на поверхности почвы не превышает 100 люкс, т. е. составляет 0,2–0,3% от освещенности на открытом месте; на высоте 1,3 м (над травостоем) освещенность несколько выше – от 1,2 до 1,6 тыс. люкс. Под пологом древостоя преобладает подрост вегетативного происхождения. У верхней границы кленового леса подрост семенного происхождения встречается в окнах, прогалинах и на открытых местах в количестве 430–630 экз./га. По высоте преобладает крупный подрост 50–60%, доля мелкого – 10–20%. The maple stands of the North Caucasus – a special type of forest formations. The peculiarity is manifested not only in the structure of phytocoenoses, but also in the ways of self-renewing. Object of research – pure and mixed maple stands in some areas of North Ossetia-Alania. The properties are located in various mountainous terrain and at different heights above sea level from 1100 to 1900 m. The aim of the study is to establish the characteristics of the seed the resumption of the maple stands growing in the upper belt of forests spread in the Northern Caucasus. To achieve this goal setting time of flowering and ripening of seeds on vertical zones distribution dominated. The abundance of flowering and the average score of fruiting was established by V.G. Capper. Biometric characteristics of the seeds was determined by the tracts in three replicates. Accounting for the undergrowth was carried out on a circular experimental plots at 10 m2, in accordance with the method of A.V. Grashkin. It is established that the flowering maple Trautvetter begins may 10–14 and ends in the third week of may. Seeds begin to ripen by late August – early September. The timing of subsidence of the stretched seed. Some of the seeds falls to the ground before the leaves, so they are trapped under the litter. These seeds quickly lose their germination, vypivaet. The other part falls along with the leaves. The third category of seeds (the light) stay on the trees until December and even till spring. Natural regeneration of maple seeds under the canopy of parent stand is very difficult due to the strong grass cover. In forest stands with dense canopy, proportion of flowering and fruit-bearing trees is 2–3%, and the average score of fruiting is 1.3. The illumination on the surface of the soil does not exceed 100 Lux, i. e. 0.2–0.3% of the light in the open, at a height of 1.3 m (on grass) the lighting is slightly higher, from 1.2 to 1.6 thousand Suite. Under the canopy of the forest the undergrowth is dominated by vegetative origin. At the upper boundary of the maple forest, saplings of seed origin occurs in Windows, clearings and open places in the number 430–630 ind./ha. In height dominated by large undergrowth of 50–60%, the share of small – 10–20%.


Author(s):  
Andrei Sokolov ◽  
Andrei Sokolov ◽  
Boris Chubarenko ◽  
Boris Chubarenko

Three dumping sites located at the south-eastern part of the Baltic Sea (Kaliningrad Oblast) at shallow depths are considered. The first one is located to the south of the Vistula Lagoon inlet in front of a permanently eroded open marine shore segment. The second one is located to the north of the Vistula Lagoon inlet, and is used now for disposing of dredged material extracted from the Kaliningrad Seaway Canal. The third dumping site is located near the northern shore of the Sambian Peninsula to the east of the Cape Gvardeijski and assigned for disposing the dredged material extracted from the fairway to the Pionerskij Port located nearby. The last site is planned to be used for disposing of dredged material from the future port that should be constructed there before the beginning of the FIFA World Cup 2018. All three dumping sites are located not far from the eroded segments of the shore. The question behind the study is: would it possible that disposed material will naturally transported from the damping site to the shore and accumulate there to protect it from erosion? A numerical hydrodynamic-transport 3D model (MIKE) was used to model sediment transport under different wind actions. The winds with the speed stronger than 15 m/s complete wash out disposed material from the dumping site and spreading it over the wide area with a negligible layer thickness. Winds of about 7-10 m/s transport material along the shore at a distance of few kilometers that may be useful for shore protection. The first location of the dumping site (to the south of the Vistula Lagoon inlet) looks very ineffective for potential protection the shore nearby. At the other hand, the second and especially the third locations are favorable for transport of disposed material to the shore, the most favorable conditions are at onshore or alongshore currents.


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