University. Mathematics & Physics 2021, 14(1), 12–20 DOI: 10.17516/1997-1397-2021-14-1-12-20 УДК 519.1+517.44+512.54 Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory Georgy P. Egorychev� Sergey G...
. In this paper we prove a series of combinatorial identities arising from computing the exponents of the commutators in P. Hall’s collection formula. We also compute a sum in closed form that arises from using the collection formula in Chevalley groups...

ɢɧɮɨɪɦɚɰɢɨɧɧɨɣ ɜɨɣɧɵ, ɩɨɫɤɨɥɶɤɭ ɫɱɢɬɚɟɬɫɹ ɷɮɮɟɤɬɢɜɧɵɦ ɢ ɦɚɫɫɨɜɵɦ ɫɪɟɞɫɬɜɨɦ ɜɥɢɹɧɢɹ ɧɚ ɫɨɡɧɚɧɢɟ ɨɛɳɟɫɬɜɟɧɧɵɯ ɦɚɫɫ. Ɏɟɧɨɦɟɧɭ ɢɧɮɨɪɦɚɰɢɨɧɧɨɝɨ ɜɛɪɨɫɚ ɩɨɫɜɹɳɟɧ ɫɥɟɞɭɸɳɢɣ ɩɭɧɤɬ ɪɚɛɨɬɵ, ɝɞɟ ɞɚɧɧɨɟ ɹɜɥɟɧɢɟ ɪɚɫɫɦɨɬɪɟɧɨ ɫ ɪɚɡɥɢɱɧɵɯ ɚɫɩɟɤɬɨɜ ɛɨɥɟɟ ɩɨɞɪɨɛɧɨ. 1...

emphasizing the contribution of W. Brown, J. Butler, I. Chambers, P. du Gay, P. Ricoeur, D. Zimmermann, G. Baumann, R. Schreiter, J. May and, above all, Stuart Hall, who introduced the concept of ‘identity’ and two approaches to its consideration...
or components which maintain intricate relations” (Machart 2013: 1). Stuart Hall, the principal theorist on ‘cultural identity’, has written extensively on this subject and literature in a postcolonial context. His work is particularly relevant to the topic...

Schneider m, 4 Kristina Seftigen o,p,g, David W. Stahle q, Ricardo Villalba r, Bao Yang s, Jan Esper t 5 6 a Department of History, Stockholm University, Stockholm, Sweden 7 b Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden 8...
highest in the category Sample Replication is the Northeastern 368 Tibetan Plateau including 837 measurement series (Yang et al., 2014), followed by Central 369 Europe (3124 series; Büntgen et al., 2011) and Colorado River (390 series; MacDonald et al...

, 1994. 12. High Performance Cluster Computing Volume 1: Architectures and Systems. Volume 2: Programming and Applications. (Red. Buyya R.) – Prentice Hall PTR, Prentice-Hall Inc., 1999. 13. Hockney R.W. The communication challenge for MPP: Intel...
, and Distributed Programming. – Reading.: Addison-Wesley, 2000. 3. Butenhof D.R. Programming with POSIX Threads. – Boston, MA: Addison- Wesley Professional., 1997. 4. Chandra, R. Parallel Programming in OpenMP / Chandra R., Dagum L., Maydan D., McDonald J...

with the Messaga-Passing Interface / Group W, Lusk E, Skjellum A. – MIT Press, 1994. 12. High Performance Cluster Computing Volume 1: Architectures and Systems. Volume 2: Programming and Applications. (Red. Buyya R.) – Prentice Hall PTR, Prentice-Hall Inc...
. Parallel Programming in OpenMP / Chandra R., Dagum L., Maydan D., McDonald J., Melon R. San-Francisco, CA: Morgan. – Kaufmann Publishers., 2000. 5. Cohen, Aaron Win32 Multithreaded Programming / Aaron Cohen, Mike Woodring. – O'Reilly Media, 1997. 6...

. In this connection, he also cited examples of McDonald and other similar firms in the fast food industry that follow the Tayloristic principles of scientific management in structuring and designing organization. At the same time, Gulick’s exponents...
in Russia (Fey & Denison, 2003). The most distinguishable feature of a successful organisation is its culture, and for that it may enjoy competitive advantage over other organizations. Companies like Coca-Cola, Disney, General Electric, Intel, McDonald...

Let G be a group, x,y∈G, and H is a normal closure in G of the subgroup generated by all commutators of x,y that include more than two occurrences of y. Our main result is a parametrization of the uncollected part of Hall’s collection formula...