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The formative early ballets of West Side Story creators Leonard Bernstein and Jerome Robbins explored in detail for the very first time. Leonard Bernstein and choreographer Jerome Robbins stand as giants of the musical-theatre world, but it was ballet that launched their stage careers and established their relationship. With Fancy Free (1944), their triumphant debut collaboration produced by Ballet Theatre, Bernstein, Robbins, and set designer Oliver Smith - all only twenty-five years old - captured the spirit of wartime New York, created a defining ballet of the period still widely performed today, and became overnight sensations. The hit musical On the Town (1944) and a now largely forgotten ballet, Facsimile (1946), followed over the next two years. Drawing extensively on previously unpublished archival documents, Bernstein and Robbins: The Early Ballets provides a richly detailed and original historical account of the creation, premiere, and reception of Fancy Free and Facsimile. It reveals the vital and sometimes conflicting role of Ballet Theatre, explores how Bernstein composed the scores, sheds light on the central importance of Oliver Smith, and considers the legacy of these works for all involved. The result is a new understanding of Bernstein, Robbins, and this formative period in their lives.

Ballets. --- Ballet music --- Dance music --- Dramatic music --- Bernstein, Leonard, --- Robbins, Jerome --- Criticism and interpretation. --- Rabinowitz, Jerome Wilson --- Robbins, Jerry, --- Amber, Lenny, --- Bānsutain, Renādo, --- Bernshṭain, Leʼonard, --- Bernshtėĭn, Leanard, --- Bernstaĭn, Leonard, --- Bernstain, Leonarnt, --- Bernstayn, Leonard, --- Bernstein, L. --- Bernstein, Lenny, --- Bernstein, Leonardus, --- Bernstein, Louis, --- Bernsteins, Leonards, --- Boensitan, Lunnade, --- Bŭrnsteĭn, Lenard, --- Striboneen, Randel, --- Μπερνστάιν, Λέοναρντ, --- Бърнстейн, Ленард, --- Бернстайн, Леонард, --- Бернштэйн, Леанард, --- ברנשטיין, ליאונרד, --- バーンスタイン, レナード, --- レナード・バーンスタイン, --- 伦纳德·伯恩斯坦, --- 伯恩斯坦, 伦纳德, --- Ballets --- Ballet. --- History and criticism. --- Fancy free (Choreographic work : Robbins) --- Facsimile (Choreographic work : Robbins) --- Dance --- Pantomime

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Rosa Luxemburg lived a revolutionary life which determined her theoretical reflections about revolution and the role of the masses within it. The present study provides an analysis of Luxemburg’s thoughts about and experiences with revolutionary processes and shows how she further developed Marxist ideas about the path and methods to achieve a democratic socialism as the result of a successful revolution. Next to the theoretical debate with Eduard Bernstein and her experiences during the Russian Revolution of 1905, the book also takes a closer look at Luxemburg’s theoretical reflections about revolution in the years before and during the First World War, the Russian Revolution of 1917 as well as the German Revolution of 1918/19. The book therefore offers a concise analysis of Luxemburg’s life as well as her combination of revolution theory and revolutionary practice.

Political science. --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Politics --- Science, Political --- Social sciences --- State, The --- Rosa Luxemburg --- Socialism --- labor movement --- revolution --- revolutionary socialist --- biography --- Karl Liebknecht --- revolutionist --- revolutionary processes --- revolutionary practice --- revolutionary theory --- Marxism --- democratic socialism --- Eduard Bernstein --- Russian Revolution 1905, Russian Revolution 1917, German Revolution 1918/19

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The year 2021 marks the 150th anniversary of Rosa Luxemburg’s birth. Even though she met a violent death in the course of the 1918/19 revolution and much has subsequently been done to diminish her memory, her works remain an inspiration to this day for all those who seek to create a new, better, and more just world. This volume brings together works by German-speaking and international scholars who address Luxembourg’s aftermath from different perspectives and with different questions. In their entirety, they underscore the important significance that Luxemburg’s thoughts still have today. Im Jahr 2021 jährt sich Rosa Luxemburgs Geburtstag zum 150. Mal. Auch wenn sie im Zuge der Revolution von 1918/19 einen gewaltsamen Tod fand und in der Folge viel getan wurde, ihr Andenken zu schmälern, bleiben ihre Werke bis heute eine Inspiration für all diejenigen, die versuchen, eine neue, bessere und gerechtere Welt zu schaffen. Der Band versammelt Arbeiten von deutschsprachigen und internationalen Wissenschaftlerinnen und Wissenschaftlern, die sich aus unterschiedlichen Perspektiven und mit verschiedenen Fragestellungen dem Nachwirken Luxemburgs widmen. Sie unterstreichen in ihrer Gänze den bedeutenden Stellenwert, den Luxemburgs Gedanken bis heute besitzen.

Luxemburg, Rosa, --- Luksemburg, Róża, --- Li︠u︡ksemburg, Roza, --- Luxemburgo, Rosa, --- Luxemburgová, Rosa, --- Junius, --- Luxembourg, Rosa, --- Louxempournk, Roza, --- Luksemburŭkʻŭ, Roja, --- Rukusenburugu, Rōza, --- לוקסמבורג, רוזה --- לוקסעמבורג, ראָזא, --- לוקסעמבורג, ראזא --- Lūksambūrgh, Rūzā, --- Lūksimbūrgh, Rūzā, --- لوكسمبورغ، روزا --- Revolutions, uprisings, rebellions --- Russian Revolution --- Revolutionary groups & movements --- Socialism & left-of-centre democratic ideologies --- Social & political philosophy --- Rosa Luxemburg --- Socialism --- labor movement --- revolution --- revolutionary socialist --- biography --- Karl Liebknecht --- revolutionist --- revolutionary processes --- revolutionary practice --- revolutionary theory --- Marxism --- democratic socialism --- Eduard Bernstein --- Russian Revolution 1905, Russian Revolution 1917, German Revolution 1918/19

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Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well

Shivley’s matrix polynomials --- Generating matrix functions --- Matrix recurrence relations --- summation formula --- Operational representations --- Euler polynomials --- higher degree equations --- degenerate Euler numbers and polynomials --- degenerate q-Euler numbers and polynomials --- degenerate Carlitz-type (p, q)-Euler numbers and polynomials --- 2D q-Appell polynomials --- twice-iterated 2D q-Appell polynomials --- determinant expressions --- recurrence relations --- 2D q-Bernoulli polynomials --- 2D q-Euler polynomials --- 2D q-Genocchi polynomials --- Apostol type Bernoulli --- Euler and Genocchi polynomials --- Euler numbers and polynomials --- Carlitz-type degenerate (p,q)-Euler numbers and polynomials --- Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials --- symmetric identities --- (p, q)-cosine Bernoulli polynomials --- (p, q)-sine Bernoulli polynomials --- (p, q)-numbers --- (p, q)-trigonometric functions --- Bernstein operators --- rate of approximation --- Voronovskaja type asymptotic formula --- q-cosine Euler polynomials --- q-sine Euler polynomials --- q-trigonometric function --- q-exponential function --- multiquadric --- radial basis function --- radial polynomials --- the shape parameter --- meshless --- Kansa method

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The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.

Research & information: general --- Mathematics & science --- OWA operator --- RIM quantifier --- maximum entropy --- minimax ratio --- generating function --- minimal variability --- minimax disparity --- solution equivalence --- fuzzy sets --- extended minimax disparity --- OWA model --- RIM quantifier problem --- extended degenerate r-central factorial numbers of the second kind --- extended degenerate r-central bell polynomials --- type 2 Bernoulli polynomials --- type 2 Euler polynomials --- identities of symmetry --- Laplace distribution --- Fibonacci polynomials --- Lucas polynomials --- sums of powers --- divisible properties --- R. S. Melham’s conjectures --- degenerate Bernoulli polynomials --- degenerate Bernstein operators --- extended r-central complete bell polynomials --- extended r-central incomplete bell polynomials --- complete r-Bell polynomials --- incomplete r-bell polynomials --- Fibonacci numbers --- Lucas numbers --- Chebyshev polynomials --- Legendre polynomials --- Jacobi polynomials --- Gegenbauer polynomials --- convolution formula --- Bernoulli polynomials --- random variables --- p-adic invariant integral on Zp --- integer power sums polynomials --- Stirling polynomials of the second kind --- degenerate Stirling polynomials of the second kind --- type 2 degenerate q-Bernoulli polynomials --- p-adic q-integral --- balancing numbers --- balancing polynomials --- combinatorial methods --- symmetry sums --- Chebyshev polynomials of the first kind --- power series --- polynomial identities --- polynomial inequalities --- Waring–Goldbach problem --- circle method --- exceptional set --- symmetric form --- type 2 degenerate Bernoulli polynomials of the second kind --- degenerate central factorial numbers of the second kind --- degenerate poly-Bernoulli polynomials --- degenerate poly-Genocchi polynomials --- stirling numbers --- Erdős-Ko-Rado theorem --- intersecting families --- polynomial method --- n/a --- polylogarithm functions --- poly-Genocchi polynomials --- unipoly functions --- unipoly Genocchi polynomials --- R. S. Melham's conjectures --- Waring-Goldbach problem --- Erdős-Ko-Rado theorem