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Problems, ideas and notions from the theory of finite-dimensional dynamical systems have penetrated deeply into the theory of infinite-dimensional systems and partial differential equations. From the standpoint of the theory of the dynamical systems, many scientists have investigated the evolutionary equations of mathematical physics. Such equations include the Navier-Stokes system, magneto-hydrodynamics equations, reaction-diffusion equations, and damped semilinear wave equations. Due to the recent efforts of many mathematicians, it has been established that the attractor of the Navier-Stokes system, which attracts (in an appropriate functional space) as t - ∞ all trajectories of this sys...
Kazimir Malevich’s painting Black Square is one of the twentieth century's emblematic paintings, the visual manifestation of a new period in world artistic culture at its inception. None of Malevich’s contemporary revolutionaries created a manifesto, an emblem, as capacious and in its own way unique as this work; it became both the quintessence of the Russian avant-gardist's own art—which he called Suprematism—and a milestone on the highway of world art. Writing about this single painting, Aleksandra Shatskikh sheds new light on Malevich, the Suprematist movement, and the Russian avant-garde. Malevich devoted his entire life to explicating Black Square's meanings. This process engend...
Hypothesis on MATTER is a revolutionary alternative concept, which attempts to explain all physical phenomena related to matter based on just one type of fundamental particle - the Quantum of matter. These particles form, what the author calls, 2D energy fields. Space is assumed to contain an infinite number of 2D Energy Fields extending in all directions. Nainan masterfully explains a wide array of physical phenomena, from the origin of matter to gravity and subatomic interactions to cosmological events, based on the simple mechanical interactions of quanta of matter. There is no more any need to envisage actions at a distance or to invoke irrational assumptions like diversity of forces, mass-energy equivalence, constancy of light's speed, dual nature of electric charge, singularities, big bang, etc. This new concept will radically alter our understanding of the physical universe and at the same time, explain complex physical phenomena with simple Cause and Effect relationships.
For over five hundred years the Russians wondered what kind of people their Arctic and sub-Arctic subjects were. "They have mouths between their shoulders and eyes in their chests," reported a fifteenth-century tale. "They rove around, live of their own free will, and beat the Russian people," complained a seventeenth-century Cossack. "Their actions are exceedingly rude. They do not take off their hats and do not bow to each other," huffed an eighteenth-century scholar. They are "children of nature" and "guardians of ecological balance," rhapsodized early nineteenth-century and late twentieth-century romantics. Even the Bolsheviks, who categorized the circumpolar foragers as "authentic prole...
Sergei Rachmaninoff—the last great Russian romantic and arguably the finest pianist of the late 19th and early 20th centuries—wrote 83 songs, which are performed and beloved throughout the world. Like German Lieder and French mélodies, the songs were composed for one singer, accompanied by a piano. In this complete collection, Richard D. Sylvester provides English translations of the songs, along with accurate transliterations of the original texts and detailed commentary. Since Rachmaninoff viewed these "romances" primarily as performances and painstakingly annotated the scores, this volume will be especially valuable for students, scholars, and practitioners of voice and piano.
Which authors were contemporaries of Charles Dickens? Which books, plays, and poems were published during World War II? Who won the Pulitzer Prize in the year you were born? Timetables of World Literature is a chronicle of literature from ancient times through the 20th century. It answers the question "Who wrote what when?" and allows readers to place authors and their works in the context of their times. A chronology of the best in global writing, this valuable resource lists more than 12,000 titles and 9,800 authors, includes all genres of literature from more than 58 countries, and covers 41 languages. It is divided into seven sections, spanning the Classical Age (to 100 CE), the Middle A...