With the exception of Ramanujan, the Swiss mathematician Leonhard Euler was unrivalled in the manipulation of infinite series. Euler laid the foundations of the theory of partitions where Ramanujan excelled by the use of identities for infinite series and products. After describing the life of Euler...
Pale, (from Latin palus, “stake”), district separated from the surrounding country by defined boundaries or distinguished by a different administrative and legal system. It is this definition of pale from which the phrase “beyond the pale” is derived
Speed-up of the arbitrary-precisionFFT, especially for the lengths with high prime factors. Overall, this release wraps up the 3-month work onFFTspeed optimization. Toolbox’s quadruple and arbitrary precisionFFTengines have been completely refactored and improved. Now: >>mp.Digits(100); >> A...
We remind of the history of the transportation (Kantorovich) metric and the Monge-Kantorovich problem. We also describe several little-known applications: the first one concerns the theory of decreasing sequences of partitions (tower of measures and iterated metric), the second one relates to Ornst...
Limited partitions support -nparts arg ducky64committedDec 16, 2013 76cbd30 More instruomentation ducky64committedDec 16, 2013 947b733 Commits on Dec 15, 2013 Parallel scheduling, in theory ducky64committedDec 16, 2013 eec5e85 Commits on Dec 12, 2013 Remove dead code ducky64committed...
documented, e.g., the variational approach and quasilinear approach, which derive scaling laws embedded in penetrative turbulence. Exploring these scaling laws in penetrative convection can improve our understanding of large-scale geophysical and astrophysical motions. To better the model of penetrative ...
partitions the market into consumer segments differing in both brand preference and price sensitivity. The result is a unified description of market structure that links the pattern of brand switching to the magnitudes of own- and cross-price elasticities. The approach is applied in a study of ...
1.1. Partitions, generalized Vandermonde determinants and representation theory. 5 1.2. The Frobenius character formulae. 8 T Ernst 被引量: 261发表: 2000年 Book Review: A history of the calculus of variations from the 17th through the 19th century. The calculus of variations is a subject whose...
hypothesis, we can connect the phenomena of magnetic attraction with electromagnetic phenomena and with those of induced currents, we shall have found a theory which, if not true, can only be proved to be erroneous by experiments which will greatly enlarge our knowledge of this part of physics....
Germ-plasm theory, concept of the physical basis of heredity expressed by the 19th-century biologist August Weismann (q.v.). According to his theory, germ plasm, which is independent from all other cells of the body (somatoplasm), is the essential elemen