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Summarizes the contents of the volume, focusing on cross-cutting themes: the reality of the premiere; the synthesis of the arts; avant-garde currents of the early twentieth century; Russian folklore and national identity; and the legacy and afterlife of Stravinsky’s score.
One of life’s most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
In this paper, we investigate the relation between head movement and the synthesis-periphrasis distinction in the verbal domain. We use the term synthesis to refer to verbal expressions in which the lexical verb bears all the verbal inflection in a clause (e.g. rode in English). In contrast, a periphrastic verbal expression additionally contains an auxiliary verb (specifically, be or have), and verbal inflection is distributed between the lexical verb and the auxiliary (e.g. had ridden). We argue for two crosslinguistic generalizations: AfTonomy and *V-Aux. According to AfTonomy, affixal Ts vary as to whether they are in a head movement relation with a verb. *V-Aux states that in periphrasis, the lexical verb and the auxiliary cannot be related by head movement. Existing analyses of periphrasis can account for one or the other generalization, but not for both. We further argue that this tension between the two generalizations is resolved if we adopt the hypothesis that both head movement and periphrasis are tied to selection. More specifically, we propose that head movement is parasitic on a selectional relation (following Svenonius 1994, Julien 2002, Matushansky 2006, Pietraszko 2017, Preminger 2019) and that auxiliaries are merged as specifiers selected by functional heads such as T (Pietraszko 2017, 2023).
The art of image restoration and completion has entered a new phase thanks to digital technology. Indeed, virtual restoration is sometimes the only feasible option available to us, and it has, under the name 'inpainting', grown, from methods developed in the mathematics and computer vision communities, to the creation of tools used routinely by conservators and historians working in the worlds of fine art and cinema. The aim of this book is to provide, for a broad audience, a thorough description of imaging inpainting techniques. The book has a two-layer structure. In one layer, there is a general and more conceptual description of inpainting; in the other, there are boxed descriptions of the essentials of the mathematical and computational details. The idea is that readers can easily skip those boxes without disrupting the narrative. Examples of how the tools can be used are drawn from the Fitzwilliam Museum, Cambridge collections.
Chapter 3 provides a historical view of non-local inpainting methods, also called examplar-based or patch-based methods. These approaches rely on the self-similarity principle, i.e. on the idea that the missing information in the inpainting domain can be copied from somewhere else within the intact part of the image. Over the years. many improvements and algorithms have been proposed, enabling us to offer visually plausible solutions to the inpainting problem, especially for large damages and areas with texture.
The Afterword provides an overview of the different cases and identifies points of convergence and divergence, or of “lumping” and “splitting.” It offers a second reading of the book, one that does not get bogged down in rehashing each case but rather offers a consideration of the whole, providing new ways of thinking about the lessons that can be derived from the previous chapters. It explores the advantages and shortcomings of the various approaches, and helps the reader take away from the volume big and challenging questions for further research.
Becoming a subject to oneself is a challenge. To make the task somewhat more meaningful, I have presented a narrative that builds on experiences that are likely to resonate with other scholars from the Global South. In the academic journey from separation to synthesis, I have had the good fortune of collaborating with scientists from young students to renowned scholars, to whom I owe immense gratitude. I chose to modify the given metaphor of a pillar to better suit my orientation both to my inner self and to the outside world.
Becoming a subject to oneself is a challenge. To make the task somewhat more meaningful, I have presented a narrative that builds on experiences that are likely to resonate with other scholars from the Global South. In the academic journey from separation to synthesis, I have had the good fortune of collaborating with scholars from young students to renowned scholars, to whom I owe immense gratitude. I chose to modify the given metaphor of a pillar to better suit my orientation both to my inner self and to the outside world.
My early intellectual development was nurtured by liberal-minded English parents, a French lycée and a Western “classics” curriculum to approach communication through literature and history. But my university introduction to psychology was framed as experimental science. Personal relationships and political awakening in early adulthood prompted me to migrate to a newly decolonized African nation, where all my children were raised. My early publications focused on explaining the performance of African children on Western measures of cognition in terms of measurement bias. In the 1970s my personal agenda of integration into Zambian society motivated closer attention to ways in which sociocultural context influences plurilingual discourse and conceptualization of intelligence. As a sojourner in the USA in the 1990s, I collaborated with American colleagues in a multi-method study of early literacy development in an ethnically diverse city. We theorized that the intimate culture of a child’s family filters wider cultural influences on individual development. Application of science to policy for support of children’s development needs to engage with their families’ ethnotheories.
The label “cultural nationalist,” deployed by David Kimble in 1963 continues to be used by scholars to describe early Gold Coast intellectuals. Kimble and others like Kweku Larbi Korang assumed that nationalism in the Gold Coast was a continuum of anti-colonial “resentment and criticism.” Contrary to the theme of the early twentieth century as a period of cultural nationalism and of opposition to colonialism, it was a period of constructive criticism of an inchoate colonial system and advocacy for synthesis of local customs within a liberal imperial frame. Regarding the intellectuals as anti-colonial cultural nationalists proved difficult because of their apparent pro imperial statements and actions. Critics disparaged the intellectuals as motivated by self-preservation, blindly pro-colonial, deluded, or traitorous to their culture. So-called cultural nationalists can be more properly understood by not assuming Kimble’s unchanging problematic and recognising the British presence then, now homogenized as “colonialism,” as something less cogent.
Nineteenth and twentieth-century West African writer-intellectuals harnessed their Atlantic networks to explore ideas of race, regeneration, and nation-building. Yet, the ultimately cosmopolitan nature of these political and intellectual pursuits has been overlooked by dominant narratives of anti-colonial history. In contrast, Cosmopolitan Nationalism in Ghana uses cosmopolitanism as a primary theoretical tool, interrogating the anti-colonial writings that prop up Ghana's nationalist history under a new light. Mary A. Seiwaa Owusu highlights the limitations of accepted labels of nationalist scholarship and confirms that these writer-intellectuals instead engaged with ideas around the globe. This study offers a more complex account of the nation-building project, arguing for the pivotal role of other groups and factors in addition to Kwame Nkrumah's leadership. In turn, it proposes a historical account which assumes a cosmopolitan setting, highlights the centrality of debate, and opens a vista for richer understandings of Ghanaians' longstanding questions about thriving in the world.
Smectite growth is of importance across various fields due to its abundance on the surface of both Earth and Mars. However, the impact of the crystallinity of initial materials on smectite growth processes remains poorly understood. In this study, the kinetic processes of smectite growth were examined via experimental synthesis of trioctahedral Mg-Ni saponites. Mg-Ni saponites were synthesized using mixed precursors, specifically end-member Mg-saponite and Ni-saponite, which exhibit different crystallinities. The crystal chemistry and morphology of samples were analyzed using X-ray diffraction, Fourier-transform infrared spectroscopy, and high-angle annular dark-field scanning transmission electron microscopy. The experimental results converge towards these main conclusions: (i) the formation of Mg-Ni saponite solid solutions are promoted when the precursors are small particles, whereas large-particle precursors limit their own dissolution and do not yield Mg-Ni saponite solid solutions under the experimental conditions; (ii) because Ni exhibits a greater stability within the saponite structure compared to Mg, the Mg-Ni-saponite solid solutions formed more easily from the mixture of Ni-saponite germs and well-crystallized Mg-saponite precursors than from the mixture of Mg-saponite germs and well-crystallized Ni-saponite precursors; (iii) the dissolution extent (DE) of precursor mixtures increases with longer synthesis time, higher synthesis temperature, and larger gap between synthesis temperature of precursors and of samples, and stabilizes once it reaches a certain value. Thus DE can be used to estimate the kinetics of Mg-Ni saponite crystallization from precursor mixtures. These results obtained from the experimental Mg-Ni saponite system are useful for predicting the evolution processes of smectite in natural systems.
The presence of Al hydroxy species in solution during the synthesis of lepidocrocite had been previously found to influence the reaction towards goethite formation. However, under certain conditions, which are not unrealistic in terms of the natural soil environment, this influence does not occur, and Al appears to substitute for Fe(III) in the lepidocrocite structure. This substitution causes the unit-cell dimensions to decrease along the “a” direction and to increase along the “b.” From the differential line broadening of X-ray powder diffraction peaks, the incorporation of Al was found to inhibit crystal growth preferentially in the b-axis direction, the hkl peaks being more broadened the higher the value of k relative to h and l. Al-substituted lepidocrocites have been suggested to occur in soils, and although they can be synthesized under conditions approaching those expected in soils, it is considered that their formation in nature is unlikely or restricted to unusual environments.
Glauconite has been synthesized at low temperature by precipitation of Fe-hydroxides from Si-, Fe-, Al-, and K-containing solutions under reducing conditions. The compositions favorable for the synthesis at 20°C and pH 8.5 are 1 ppm Fe, 0.15 ppm Al, 13 ppm Si02, 1000 ppm KC1, and 1000 ppm dithionite. The K-content of the solutions must be sufficiently high to fix K in the precipitate.
Under special early diagenetic conditions glauconite is formed in marine sediments, probably at the interface between reducing and oxidizing zones in the muddy sediments. The silica content of pore waters seems to control the formation of glauconite or chamosite rather than depth or temperatures of the bottom waters.
Noncrystalline aluminosilicate gels with Al2O3/(Al2O3 + SiO2) weight ratios from 0.3 to 0.5 were reacted in 0.1 N KOH at temperatures varying from 125° to 175°C. The pH of the solutions dropped sharply with increasing gel:solution ratios, indicating that the coordination number of Al in the products changed from IV to VI. The degree of hydrolysis appeared to be higher with KOH than with NaOH. X-ray powder diffraction and infrared spectroscopy showed that disordered kaolinite was the only crystalline product formed. Thermal data and surface area measurements indicated that the kaolinite was formed by a condensation process.
Thirty two boehmites, synthesized at temperatures ranging from room temperature to 300°C, were examined by scanning electron microscopy, transmission electron microscopy, electron diffraction, X-ray powder diffraction, differential thermal analysis, and infrared spectroscopy. The results show that boehmite exhibits a continuous gradation in crystallite size ranging from single octahedral layers or a few unit cells to about 65 unit cells in the y-direction. This conclusion suggests that the term pseudoboehmite is inappropriate for finely crystalline boehmite. Finely crystalline boehmite contains more sorbed water than coarsely crystalline boehmite; this water is commonly intercalated between octahedral layers, usually randomly but sometimes regularly. The regularly interstratified boehmite gives rise to a diffuse “long spacing” X-ray diffraction reflection. Calculated 020 X-ray diffraction peaks approximate closely those observed experimentally when a range of crystallite sizes is taken into account.
Hydrotalcite solid solutions were prepared by coprecipitation followed by hydrothermal treatment between 150° and 250°C. Based on the structural formula [Mg1−xAlx(OH)2]x+[(CO3)x/2 • mH2O]x−, pure solid solutions were formed in the range A1/(A1 + Mg) = 0.2 to 0.33, where m = (1 − 3x/2). Maximum crystallite size was achieved by hydrothermal treatment between 180° and 200°C, with x = 0.337 to 0.429. Crystal strain was also minimized at these values of x. The adsorption capacity for Naphthol Yellow S increased as x increased and reached a maximum (1.56 × 10−6 moles/m2) when x = 0.287, a value eight times larger than that of Mg(OH)2. A weak endothermic DTA peak at about 350°C is probably due to the loss of structural water in the main layer of the structure. On calcination between 400° and 700°C, only periclase was detected, probably containing Al in solid solution. Hydration of the calcined product resulted in the reconstruction of the original hydrotalcite structure.
The equilibrium diagrams developed for Al-hydroxide and for kaolinite by Garrels and Christ (1965) have been modified by taking into account the existence of gels. From the stability zones obtained, the “appropriate” concentrations can be deduced and utilized for synthesizing these species, provided the requirements to insure good crystal growth are observed. Among procedures to promote these crystallizations, homogeneous precipitation processes (La Iglesia et al., 1974, 1976) appear to be particularly adequate.
The theoretical considerations provide an explanation for most of the processes observed until now, both successful and unsuccessful syntheses, and also give an explanation for many field observations. The crystallizations, however, remain poorly reproducible, indicating that many factors are still poorly known. Some points requiring further investigation include (i) better values for ΔGr0, (ii) the influence of organic complexes, (iii) the effect of preexisting crystalline phases, (iv) those involving dehydration processes in these systems.
The crystal structure of a synthetic boehmite sample has been refined to an R of 0.047 in the space group Amam from X-ray powder diffraction data. Inclusion of hydrogen atoms and/or refinement in the space group A21am gave poorer results. Cell dimensions were determined as a = 3.6936 (± 0.0003), b = 12.214 (± 0.001), c = 2.8679 (± 0.0003) Å. All Al-O(OH) distances lie between 1.88 and 1.91 Å. Shared octahedral edges are 2.51–2.52 Å, and unshared octahedral edges are 2.86–2.87 Å, in excellent agreement with those for layered silicates. The O-H … O distance between contiguous octahedral sheets is 2.71 Å. The computed X-ray pattern matches closely with the experimental pattern, indicating the degree to which the crystal structure has been determined.
The low temperature synthesis of iron silicate minerals with clay structures is possible at surface temperatures only under reducing conditions. Under oxidizing conditions clay minerals could not be synthesized. Instead quartz and quartzine were found in these X-ray amorphous Fe III hydroxide-silica precipitates after 14 days at low temperatures (20° and 3°C) as well as geothite or X-ray amorphous iron hydroxides. Only from solutions containing Fe-II could the different iron-containing clay minerals be built up within days at low temperatures. The presence of Fe-II enables an octahedral layer of the brucite-gibbsite type to be formed. This is necessary for the bidimensional orientation of SiO4-tetrahedra leading to clay mineral formation. The presence of Fe2+- and/or Mg2+-ions is necessary for the formation of the Al3+- and Fe3+-containing octahedral layers. The reducing conditions were obtained in the experiments by addition of dithionite. With a high content of silica (ca. 20 ppm SiO2,7 ppm Fe) nontronite and lembergite, the di-Fe-III and tri-Fe-II octahedral, three-layer silicates, were built up in several days at low temperatures. With a lower silica content, that is, a lower Si/Fe ratio (15 ppm SiO2 and 20 ppm Fe), the two-layer silicate minerals greenalite and chamosite could be synthesized. A higher Mg content and more reducing conditions in the solutions favored the tri- as well as dioctahedral chamosite synthesis.
The conditions of formation of recent naturally formed nontronite fit well with the synthesis conditions. Chamosites in sedimentary iron ores are characterized by a low content of SiO2, between 15–30% SiO2. This low content of silica cannot be the result of primary precipitation from seawater. The iron and silica ratio in seawater or in river waters would lead to a precipitation of ~60% SiO2 in the iron hydroxide precipitates. A probable origin for chamosite iron ores, which explains the low SiO2 content, is diagenesis of the lateritic weathering crust. Indeed, investigations of recent tropical shoreline sediments and in particular their trace element content confirm that chamosite minerals have formed diagenetically from lateritic particles in reducing sediments.
Al-substituted goethites were prepared by rapid oxidation of mixed FeCl2-AlCl3 solutions at pH 6.8 in the presence of CO2 at 25°C. A combination of Al substitution and adsorption of CO2 reduced crystal size (except for an increase at small additions of Al) and produced unusual thin, porous particles. Product goethites had surface areas up to 283 m2/g and unit-cell expansions induced by hydration. Substitution of Al for Fe reduced the 111 spacing and increased infrared OH-bending vibrational frequencies. Al substitution split the goethite dehydroxylation endotherm during differential thermal analysis into a doublet and increased the temperature of all reactions. Both cold and hot alkali solutions dissolved Al from the goethite structure.
After drying the product in vacuo at 110°C. X-ray powder diffraction data indicated minimal deviation from Vegard's law for the goethite-diaspore solid solution up to about 30 mole % Al substitution. Goethite prepared in the presence of 40 mole % Al had a 111 spacing of 2.403 Å corresponding to 36 mole % structural Al if Vegard's law was obeyed. Rapid oxidation of mixed FeCl2-AlCl3 solutions appears to be conducive to a higher degree of Al substitution in goethite than alkaline aging of hydroxy-Fe(III)-Al coprecipitates.