×

zbMATH — the first resource for mathematics

Design of engineering systems in Polish mines in the third quarter of the 20th century. (English) Zbl 1437.01013
This paper concerns co-operation between mathematicians and engineers in Poland (specifically, in Wrocław) in the second half of the twentieth century over the analysis of the effectiveness of engineering systems used in mining. As the authors point out, this co-operation served to introduce new methods of engineering design, and also opened up research topics in the theory of stochastic processes and in graph theory. A detailed overview of the relevant mathematics in context is followed by a series of appendices featuring short biographies of the figures involved in these projects, and materials on the latter that appeared in the newspaper ‘Życie Warszawy’.

MSC:
01A60 History of mathematics in the 20th century
01A73 History of mathematics at specific universities
01A70 Biographies, obituaries, personalia, bibliographies
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] PN-EN 61165:2006. Zastosowanie procesów Markowa. Polski Komitet Normalizacyjny. Warszawa., 05-12-2006. Sektor Zagadnie« Podstawowych i Systemów Zarz¡dzania. KT 9. Niezawodno±ci: 70 p. Cited on p.286.
[2] W.J. Anderson. Continuous-time Markov chains. Springer Series in Statistics: Probability and its Applications. Springer-Verlag, New York, 1991. ISBN 0-387-97369-9.doi: 10.1007/978-1-46123038-0. An applications-oriented approach. Cited on p.260. · Zbl 0731.60067
[3] I. Bashmakova, B. Gnedenko, Z. Kuzicheva, F. Medvedev, E. Ozhigova, A. Parshin, A. Rudakov, E. Slavutin, O. Shejnin, and A. Yushkevich. XIXth century mathematics. Mathematical logic. Algebra. Number theory. Probability theory. (Matematika XIX veka. Matematicheskaya logika. Algebra. Teoriya chisel. Teoriya veroyatnostej). Ed. by A.N. Kolmogorov and A.P. Yushkevich. Moskva: Nauka. 255 p. R. 2.10 (1978), 1978. Cited on p.259. · Zbl 0523.01001
[4] J. Battek. Teczka przewodu doktorskiego. Archiwum Uniwersytetu Wrocªawskiego; Syg. Akt IV-40000/1961, Battek Jerzy, 1961-1963. Cited on p.276.
[5] J. Battek, S. Gªadysz, and J. Sajkiewicz. Proces awarii i wydajno±¢ systemu ta±moci¡gów. In Mi¦dzynarodow¡ Konferencj¦ Mechanizacji Robót Ziemnych, Warszawa, 21-28 IX 1965, volume 1, Ref. A-6, p. 24, 1965. Title trans. The failure process and performance of the band conveyor system. DONA: K84/1965/I-007. Cited on p.265.
[6] J. Battek, S. Gªadysz, and J. Sajkiewicz. Zarys teorii pracy systemów maszynowych z transportem ci¡gªym i nieci¡gªym. In Górnictwo. Niezawodno±¢ systemów maszynowych. Referaty na II Konferencj¦ Naukow¡., volume 10 of Prace Naukowe Instytutu Górnictwa Politechniki Wrocªawskiej, pages 330. Politechnika Wrocªawska, 1973. Title trans. The outline of the engine
[7] J. Bernstein. Bachelier. American Journal of Physics, 73(5):395 398, 2005.doi: 10.1119/1.1848117. Cited on p.260. · Zbl 1219.82003
[8] S. Bernstein. Sur l’extension du théorème limite du calcul des probabilités aux sommes de quantités dépendantes. Math. Ann., 97:1 59, 1926. ISSN 0025-5831; 1432-1807/e.doi: 10.1007/BF01447859. Zbl 52.0517.03. Cited on p.259. · JFM 52.0517.03
[9] Z. Birnbaum and S. Saunders. A new family of life distributions. J. Appl. Probability, 6:319327, 1969. ISSN 0021-9002. Cited on p.261. · Zbl 0209.49801
[10] Z. Birnbaum and S. Saunders. Estimation for a family of life distributions with applications to fatigue. J. Appl. Probability, 6: 328347, 1969. ISSN 0021-9002. Cited on p.261. · Zbl 0216.22702
[11] A. Boraty«ska.The concept of robustness in the sense of Ryszard Zieli«ski: robustness in parametric models. Matematyka Stosowana, 40(2):8392, 2012.ISSN 1730-2668.doi: 10.14708/ma.v40i2.372. Cited on p.254.
[12] P. Brémaud. Markov chains, volume 31 of Texts in Applied Mathematics. Springer-Verlag, New York, 1999. ISBN 0-38798509-3. Gibbs elds, Monte Carlo simulation, and queues.doi: 10.1007/978-1-4757-3124-8;MR 1689633. Cited on p.259.
[13] K. Broberg. Encounters with Professor Waloddi Weibull. In H.P. Rossmanith, editor, Fracture Research in Retrospect: An anniversary volume in honour of G.R. Irwin’s 90th birthday, pages 141 148. CRC Press, 1997. ISBN 9054106794. Cited on p.286.
[14] E. Brockmeyer, H.L. Halstrøm, and A. Jensen. The life and works of A.K. Erlang. Acta Polytechnica Scandinavia, 287:277, 1960.MR 0112810. Cited on p.262. · Zbl 0089.34302
[15] H. Bruns. Wahrscheinlichkeitrechnung und Kollektivmaÿlehre. Leipzig: B. G. Teubner. VIII u. 310 S.8◦nebst 18 S. Tafeln (1906)., 1906. Cited on p.259. · JFM 37.0262.02
[16] T. Byczkowski, W. Kasprzak, M. Król, Z. Romanowicz, and A. Weron. Stanisªaw Gªadysz (19202001). Roczniki Polskiego Towarzystwa Matematycznego, Ser. II, Wiadomo±ci Matematyczne, 39:205211, 2003. ISSN 2080-5519.doi: 10.14708/wm.v39i01.4957. MR 2043782;Zbl 1242.01026. Cited on p.253.
[17] S. Chapman. On the brownian displacements and thermal diusion of grains suspended in a non-uniform uid. Proceedings of the Royal Society of London, 119:3460, 1928. Cited on p.260. · JFM 54.0922.06
[18] J.W. Cohen. Felix Pollaczek, 18921981. Journal of Applied Probability, 18(4):958963, 1981. ISSN 0021-9002. Cited on p.263.
[19] T.G. Cowling. Sydney Chapman 18881970. In Biographical Memoirs of Fellows of the Royal Society, volume 17, pages 53 89. The Royal Society, 1971.doi: 10.1098/rsbm.1971.0003. Cited on p.260.
[20] H. Cramér. Half a century with probability theory: some personal recollections. Annals of Probability, 4(4):509546, 1976. Cited on pp.259and260. · Zbl 0351.60001
[21] J. Czaplicki. Reliability of a system: loader-crusher-belt conveying for surface mining. Górnictwo Odkrywkowe, L(45):35 39, 2009. YADDA: bwmeta1.element.baztech-article-BSL2-00190031. Cited on p.255.
[22] J. Czaplicki. Znaczenie niezawodno±ci w in»ynierii górniczej - rys historyczny. Przegl¡d Górniczy, 67(6):97100, 2011. ISSN 0033216X. Title trans. The meaning of reliability in mining engineering - a historical trait. YADDA: bwmeta1.element.baztecharticle-AGH8-0014-0065. Cited on pp.252and263.
[23] J.M. Czaplicki. Shovel-Truck Systems: Modelling, Analysis and Calculations. CRC Press, 2008. ISBN 9780415481359, 9781134018031(e). URLhttp://ebookcentral.proquest.com/lib/pwr/detail. action?docID=1449694. Cited on p.263.
[24] J.L. Doob. William Feller and twentieth century probability, pages xvxx. Univ. California Press, Berkeley, Calif., 1972. Cited on p. 260. · Zbl 0251.01009
[25] E. Dornfeld and E. Glibowski. Analiza mo»liwo±ci badania ukªadów technologicznych na maszynach cyfrowych. W¦giel Brunatny, R. 8(3):197201, 1966. Title trans. Analysis of the possibilities of testing technological systems on digital machines. DONA: K84/1966/I-017. Cited on pp.265and280.
[26] R. Duda and A. Weron. Wrocªaw mathematical school. Wiadomo±ci Matematyczne, 42:73101, 2006. ISSN 0373-8302.MR 2395990. Cited on p.276.
[27] P. Ehrenfest and T. Ehrenfest. Über zwei bekannte Einwände gegen das BoltzmannscheH-Theorem. Phys. Z., 8:311314, 1907. · JFM 38.0931.01
[28] A. Erlang. Sandsynlighedsregning og Telefonsamtaler. Nyt Tidss. for Math., 20:3339, 1909.Zbl 40.0281.01Title trans. Probability and telephone calls. Cited on p.277. · JFM 40.0281.01
[29] A. Erlang.Telefon-ventetider.Mat. Tidsskr. B, 1920:2542, 1920. Zbl 47.0487.03Title trans. Telephone waiting time. Cited on pp.262and277. · JFM 47.0487.03
[30] W. Feller. An Introduction to Probability Theory and Its Applications. Vol. I. John Wiley & Sons, Inc., New York, N.Y., 1950. Cited on p.260. · Zbl 0039.13201
[31] W. Feller. William FellerSelected papers. I. Springer, Cham, 2015. ISBN 978-3-319-16858-6.doi: 10.1007/978-3-319-16859-3. Ed. by René L. Schilling, Zoran Vondra£ek and Wojbor A. Woyczy«ski. Cited on p.260.
[32] A. Fiszer. Metoda optymalnego programowania eksploatacji zªo»a w granicach nadania górniczego kopalni rud miedzi. Raport i11/1972/p-001, Instytutu Geotechniki (W06/I11), Politechnika Wrocªawska, 1972. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: The method of optimal planning of reservoir exploitation within the limits of the mining of the copper ore mines mine.. Cited on p.268.
[33] M. Fréchet. Sur la loi de probabilité de l’écart maximum. Annales de la Société Polonaise de Mathématique, 6:93116, 1927. Cited on p.261. · JFM 54.0562.06
[34] P.A. Gagniuc. Markov chains. From theory to implementation and experimentation. Hoboken, NJ: John Wiley & Sons, 2017. ISBN 978-1-119-38755-8/hbk; 978-1-119-38758-9/ebook.Cited on p. 258. · Zbl 1406.60001
[35] T. Galanc. O dystrybuantach jednowymiarowych pewnego stacjonarnego procesu stochastycznego sterowania procesem Markowa. Raport i18/1972/p-018, Instytut Matematyki i Fizyki Teoretycznej, Politechnika Wrocªawska, 1973. Promotor: prof. dr hab. Stanisªaw Gªadysz. Title trans.: On one-dimensional distributions of a Markov, stationary, stochastic control process.. Cited on p. 268.
[36] F. Galton. Problem 4001. Educational Times, page p. 17, 1873. 1 April. Cited on p.259.
[37] J. Gani. Problems in the probability theory of storage sysA. Antkowiak, M. Kaczmarz, K. Szajowski291
[38] G. Gigerenzer, Z. Swijtink, T. Porter, L. Daston, J. Beatty, and L. Krüger. The empire of chance. Ideas in Context. Cambridge University Press, Cambridge, 1989. ISBN 0-521-33115-3. URL https://doi.org/10.1017/CBO9780511720482. How probability changed science and everyday life. Cited on p.259.
[39] E. Glibowski. Teczka przewodu doktorskiego. Archiwum Uniwersytetu Wrocªawskiego; Syg. Akt IV-40000/1963, Glibowski Edmund, 1961-1963. Cited on p.278.
[40] S. Gªadysz. Teczka przewodu doktorskiego. Archiwum Uniwersytetu Wrocªawskiego; Syg. Akt IV-4010/1961 Gªadysz Stanisªaw, 19611963. Cited on p.280.
[41] S. Gªadysz. Proces awarii ukªadu technologicznego kopal« odkrywkowych. W¦giel Brunatny, R. 6(1):6274, 1964. Title trans. Process of technological breakdown of open pit mines. DONA: K84/1965/I-007. Cited on pp.252,264, and265.
[42] S. Gªadysz. Wpªyw rozdzielni (rozgaª¦zie«) ta±moci¡gów na prac¦ ukªadu technologicznego kopal« odkrywkowych. W¦giel Brunatny, R. 7(1):4351, 1965. Title trans. Inuence of switchboard (branch) of the band conveyor on the work of technological system of open pit mines. DONA: K84/1965/I-063.Cited on pp.264,266, and286.
[43] S. Gªadysz. Wydajno±¢ systemu ta±moci¡gów. W¦giel Brunatny, R. 7(3):199204, 1965. Title trans. Performance of the band conveyor system. DONA: K84/1965/I-066. Cited on pp.264and265.
[44] S. Gªadysz, J. Battek, and J. Sajkiewicz. Proces awarii i wydajno±¢ systemu ta±moci¡gów. In IV Krajowy Zjazd Górniczy. Tychy, 1965., pages 3072, 1966. Title trans. The failure process and performance of the band conveyor system. DONA: K84/1966/I065. Cited on p.265.
[45] B.V. Gnedenko. Alexander Iacovlevich Khinchin. In Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, pages 115. (1 plate). Univ. California Press, Berkeley, Calif., 1961.MR 0131956. Cited on p.263. · Zbl 0099.24607
[46] F. Grabski. Semi-Markov Processes: Applications in System Re · Zbl 1326.60006
[47] G. Gra. Simple queuing theory saves unnecessary equipment. Ind. Eng., pages 1518, 1971.doi: 10.1007/BF01447859. Cited on p.264.
[48] C.M. Grinstead and J. Snell. Introduction to probability. 2nd rev. ed. Providence, RI: AMS, American Mathematical Society, 2nd rev. ed. edition, 1997. ISBN 0-8218-0749-8/hbk. Cited on p.259. · Zbl 0914.60004
[49] B. Hayes. First links in the Markov chain. AmSci, 101(2):9296, 2013. ISSN 0003-0996.doi: 10.1511/2013.101.92. Probability and poetry were unlikely partners in the creation of a computational tool. Cited on p.259.
[50] C.C. Heyde and E. Seneta. I. J. Bienaymé. Statistical theory anticipated. Springer-Verlag, New York-Heidelberg, 1977. ISBN 0-387-90261-9. Studies in the History of Mathematics and Physical Sciences, No. 3. Cited on p.259. · Zbl 0371.01010
[51] Z. Huzar. Jerzy Battek 19271991. In R. Grz¡±lewicz and E. Wacªawek-Grz¡±lewicz, editors, Almanach Wydziaªu Podstawowych Problemów Techniki 19682003, pages 6568. Dolno±l¡wskie Wydawnictwo Edukacyjne, Ojca Beyzyma 20/b, 53204 Wrocªaw, 2006. ISBN 83-7125-100-9. Cited on p.276.
[52] G. Irvin. Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics, 24:361364, 1957. Cited on p.260.
[53] Z. Iwulski. Metoda obliczania parametrów strzelania technologicznego w skaªach w¦glanowych w kopalniach LGOM. Raport i11/1976/p-135, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1976. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: The method of calculating technological ring parameters in carbonate rocks in LGOM mines. Defended: 16.10.1976. Cited on p.268.
[54] P. Jastrz¦bski.Witold Wierzbicki (18901965). In Sylwetki profesorów Politechniki Warszawskiej, number 30 in Prace Historyczne, page oai:bcpw.bg.pw.edu.pl:908. Biblioteka Gªówna Politechniki Warszawskiej, Warszawa, 1985. URLhttp://bcpw.bg.pw.edu. pl/Content/908/sylw_prof_087.pdf. Cited on p.263.
[55] A. Jermakowicz.Witold Pogorzelski (18951963). In Sylwetki profesorów Politechniki Warszawskiej, number 50 in Prace Historyczne, page oai:bcpw.bg.pw.edu.pl:867. Biblioteka Gªówna Po
[56] I. Jó¹wik and M. Terepeta.Teaching mathematics at lodz university of technology in the period of 19451970. Antiquitates Mathematicae, 9:329, 2016. ISSN 1898-5203;2353-8813e.doi: 10.14708/am.v9i0.630. URLhttp://wydawnictwa.ptm.org.pl/ index.php/antiquitates-mathematicae/article/view/630/ 830. Cited on pp.263and264.
[57] R. Kabat. Modelowanie cyfrowe eksploatacji podsystemu zªo»onego z koparki ªa«cuchowej na podwoziu szynowym i z obiektów z ni¡ wspóªpracuj¡cych na poziomie roboczym. Raport i11/1978/p-220, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1978. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Digital modeling of subsystem operation consisting of a chain excavator on a rail chassis and objects cooperating with it at the working level. Defended: 17.07.1978. Cited on p.268.
[58] M. Kac. William Feller, in memoriam. In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. II: Probability theory, pages xxixxiii. Univ. California Press, Berkeley, Calif., 1972. Cited on p.260. · Zbl 0251.01010
[59] D.G. Kendall. Branching processes since 1873. J. London Math. Soc., 41:385406. (1 plate), 1966. ISSN 0024-6107. URLhttps: //doi.org/10.1112/jlms/s1-41.1.385. Cited on p.259. · Zbl 0154.42505
[60] D.G. Kendall. The genealogy of genealogy: branching processes before (and after) 1873. Bull. London Math. Soc., 7(3):225253, 1975. ISSN 0024-6093. URLhttps://doi.org/10.1112/blms/ 7.3.225. With a French appendix containing Bienaymé’s paper of 1845. Cited on p.259. · Zbl 0328.01007
[61] D.G. Kendall, G.K. Batchelor, N.H. Bingham, W.K. Hayman, J.M.E. Hyland, G.G. Lorentz, H.K. Moatt, W. Parry, A.A. Razborov, C.A. Robinson, and P. Whittle.Obituary: Andrei Nikolaevich Kolmogorov (19031987). Bull. Lond. Math. Soc., 22(1):31100, 1990. ISSN 0024-6093; 1469-2120/e.doi: 10.1112/blms/22.1.31. Cited on pp.259and260.
[62] J. Kingman. David George Kendall. 15 January 1918 23 October 2007. In Biographical Memoirs of Fellows of the Royal Society, volume 55, pages 121138. The Royal Society, 2009.doi: 10.1098/rsbm.2008.0017. Cited on p.263.
[63] A. Kolmogorov and A. Yushkevich, editors. Mathematics of the 19th century. Mathematical logic, algebra, number theory, probability theory. Transl. from the Russian. Basel etc.: Birkhäuser, 1992. ISBN 3-7643-2552-6/hbk. Cited on p.259. · Zbl 0749.01016
[64] I. Kopoci«ska. Mathematical models of cyclic queues. Inwestycje i Budownictwo, 18(2):2225, 1968. Cited on p.264.
[65] Kopoci«ski, Bolesªaw. Zarys teorii odnowy i niezawodno±ci. Biblioteka Naukowa In»yniera. [Science Library for the Engineer]. Wydawnictwa Naukowo-Techniczne, Warsaw, 1973. Title trans. Outline of renewal and reliability theory. Published in series: Science Library for the Engineer. Cited on p.264.
[66] M. Król. O pewnym wariancie liniowego procesu stochastycznego z barierami sterowanego procesem Markowa. Raport i18/1973/p101, Instytut Matematyki i Fizyki Teoretycznej, Politechnika Wrocªawska, 1973. Promotor: prof. dr hab. Stanisªaw Gªadysz. Title trans.: About a certain variant of the linear stochastic process with barriers controlled by the Markov process.. Cited on p.268.
[67] A. Lisnianski, I. Frenkel, and Y. Ding. Multi-state system reliability analysis and optimization for engineers and industrial managers. London: Springer, 2010. ISBN 978-1-84996-319-0/hbk; 9781-4471-5704-5/pbk; 978-1-84996-320-6/ebook.doi: 10.1007/978-184996-320-6. Cited on p.255. · Zbl 1304.90001
[68] P. Ma¢ków. Metoda badania procesu eksploatacji maszyn doªowych oraz oceny efektywno±ci ich pracy. Raport i11/1975/p-113, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1975. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: The method of testing the mining machinery operation process and assessment of their work eciency.. Cited on p.268.
[69] J. Malewski. Transformacja i synteza schematów pewnej klasy systemów maszynowych z transportem ci¡gªym i niezawodno±¢ tych systemów.Raport i11/1974/p-005, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1974. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Transformation and synthesis of schemes of a certain class of machine systems with continuous transport and reliability of these systems.. Cited on p. 268.
[70] A.A. Markov. An example of statistical investigation of the text Eugene Onegin concerning the connection of samples in chains. · Zbl 1155.01005
[71] Markov, Andre\(i Andreeviq.Rasprostranene zakona bolxih qisel na veliqiny, zaviswe drug ot druga. Izvesti fiziko-matematiqeskogo obwestva pri Kazanskom yniversitete, 15(4):135156, 1906. In [96] on pp. 339 361.Zbl 37.0265.01. Cited on pp.258and259\)
[72] P.A.P. Moran. The theory of storage. Methuen’s Monographs on Applied Probability and Statistics. Methuen& Co., Ltd., London; Wiley& Sons, Inc., New York, 1959. Cited on p.260.
[73] Q. Nguyen.Niezawodno±¢ pracy podwójnego systemu transportowego ci¡gªego ze zbiornikiem interwencyjnym.Raport i18/1973/p-110, Instytut Matematyki i Fizyki Teoretycznej, Politechnika Wrocªawska, 1973. Promotor: prof. dr hab. Stanisªaw Gªadysz. Title trans.: Operrational reliability of a continuous, double transportsystem with an intervention tank.. Cited on p. 268.
[74] W. Niedbala. Metoda identykacji procesu eksploatacji systemów maszynowych o nieci¡gªych strukturach technologicznych. Raport i11/1976/p-141, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1976. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Method for the identication of the operation process of machine systems with discontinuous technological structures. Defended: 30.09.1976. Cited on p.268.
[75] W. Niemiro. Professor Ryszard Zieli«ski’s contribution to the Monte Carlo method and random number generators: uniform asymptotics in statistics. Mat. Stosow., 40(2):93106, 2012. ISSN 1730-2668.URLhttps://doi.org/10.14708/ma.v40i2.369. Cited on p.254. · Zbl 1320.65002
[76] K. Pazdyka. Metoda analityczna ustalania optymalnych systemów urabiaj¡co-transportowych o nieci¡gªych strukturach technologicznych.Raport i11/1976/p-149, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1976. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Analytical method for
[77] H. Pham-Van. Wpªyw geometrycznych parametrów wyrobiska odkrywkowego na wybór ekonomicznie uzasadnionej gª¦boko±ci wybierania grubych pokªadów w¦gla kamiennego stromo zalegaj¡cego w skªadach zwi¦zªych dla przypadku ªadowania odstrzelonych skaª pªonnych koparkami ªy»kowymi. Raport i11/1974/p-078, Instytutu Geotechniki (W06/I11), Politechnika Wrocªawska, 1974. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Inuence of geometrical parameters of the open pit work on the selection of an economically justied depth of selecting thick hard coal deposits deposited in concise compositions for the case of loading discharged waste rocks with bucket excavators..Cited on p. 268.
[78] H. Poincaré. Calcul des probabilités. Rédaction de A. Quiquet. Gauthier-Villars, Paris, 2nd edition, 1912.AccessZbl 43.0308.04. Cited on p.259. · JFM 43.0308.04
[79] T. Regi«ska.Andrzej Wakulicz (1934-2010).Wiadomo±ci Matematyczne, 47(2):285294, 2011.ISSN 2543-991X.doi: 10.14708/wm.v47i2.67. Cited on p.254.
[80] P. Rosin and E. Rammler. Feinheit und structur des kohlanstaube. Zeitshrift des Vereines deutcher Ingenieure, 7:17, 1927. Cited on p.261.
[81] P. Rosin and E. Rammler. The laws governing the neness of powdered coal. Journal of the Institute of Fuel, 7:2936, 1933. Cited on p.261.
[82] T. Rychlik. The works of Ryszard Zieli«ski on nonparametric quantile estimators and their application to robust statistics. Mat. Stosow., 40(2):6582, 2012. ISSN 1730-2668. Cited on p.254. · Zbl 1327.01051
[83] J. Sajkiewicz. Teczka osobowa pracownika. Archiwum Politechniki Wrocªawskiej; Syg. Akt 163/1 15-D-207, Sajkiewicz Jan, 1973 1978. Cited on p.283.
[84] J. Sajkiewicz. Teczka osobowa pracownika. Archiwum Politechniki Wrocªawskiej; Syg. Akt 818/467a, Sajkiewicz Jan, 19731978. Cited on pp.283and284.
[85] J. Sajkiewicz. Teczka osobowa pracownika. Archiwum Politechniki Wrocªawskiej; Syg. Akt 217/86, Sajkiewicz Jan, 19731978. Cited
[86] Sajkiewicz, Jan. Zarys teorii eksploatacji systemów maszynowych. Skrypty. Politechnika Wrocªawska, Wrocªaw, 1979. Title trans. Outline of the theory of exploitation of machine systems. Cited on p.266.
[87] E. Seneta. Markov and the birth of chain dependence theory. Int. Stat. Rev., 64(3):255263, 1996. ISSN 0306-7734; 1751-5823/e. doi: 10.2307/1403785.Zbl 0918.60008. Cited on pp.258and259. · Zbl 0918.60008
[88] E. Seneta. Early inuences on probability and statistics in the Russian empire. Arch. Hist. Exact Sci., 53(3-4):201213, 1998. ISSN 0003-9519; 1432-0657/e.doi: 10.1007/s004070050027. Cited on p.259. · Zbl 0917.01019
[89] O. Sheynin. On the prehistory of the theory of probability. Arch. Hist. Exact Sci., 12:97141, 1974. ISSN 0003-9519; 1432-0657/e. doi: 10.1007/BF00357269. Cited on p.258. · Zbl 0284.01002
[90] O. Sheynin. History of Statistics. NG Verlag, Berlin, 2012. ISBN 978-3-942944-20-5.http://sheynin.de/download/hist_stat.pdf. Cited on pp.258and259.
[91] R. Simic. Metoda doboru optymalnego zestawu wielonaczyniowych koparek do eksploatacji zªó». Raport i11/1974/p-082, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1974. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: A method of selecting the optimal set of multi-bucket excavators for the exploitation of deposits.. Cited on p.268.
[92] A.V. Skorokhod. Basic principles and applications of probability theory. Edited by Yu.V. Prokhorov. Translated from the Russian by B.D. Seckler. Berlin: Springer, 2005. ISBN 3-540-546863/hbk; 978-3-642-08121-7/pbk; 978-3-540-26312-8/ebook.doi: 10.1007/b137401. Cited on p.259. · Zbl 1048.60001
[93] H. Steinhaus.Mathematician for all seasonsrecollections and notes. Vol. 2 (19451968), volume 19 of Vita Mathematica. Birkhäuser/Springer, Cham, 2016. ISBN 978-3-31923101-3; 978-3-319-23102-0. URLhttps://doi.org/10.1007/ 978-3-319-23102-0. Translated from the Polish by Abe Shenitzer, Edited by R.G. Burns, I. Szymaniec and A. Weron. Cited on pp.252,255, and257.
[94] Stochastikon.Biography of (Ernst Hjalmar) Waloddi Weibull. Web pageEncyclopediaonStochastikon GmbH, 2013. Dost¦p:
[95] J. Szperkowicz. Matematyka na odkrywce. Miliardy z gªowy. ›ycie Warszawy: codzienne pismo dla wszystkich sfer., R. 21(176):str. 3, lipca 1964. ISSN 0137-9437. Cited on pp.255and269.
[96] Markov, Andre\(i Andreeviq.Teori cisel. Teori verotnoste\)i. In Y.V. Linnik, editor,Izbrannye trudy., page 719. Izdat. Akad. Nauk SSSR, Leningrad, 1951. Title trans. Selected works. Number theory. Probability theory. With commentaries by Yu.V. Linnik, N.A. Sapogov, O.V. Sarmanov and V.N. Timofeev.Zbl 0054.00305. Cited on p.295.
[97] Šukasz Stettner. Recollections of doc. Eugene Fidelis (19272014). Mathematica Applicanda, 42(2):175177, 2015. ISSN 2299-4009. doi: 10.14708/ma.v42i2.633. Cited on p.254.
[98] Šukasz Stettner. Eugeniusz Fidelis (1927-2014). Wiadomo±ci Matematyczne, 52(1):149152, 2016. ISSN 2543-991X. Cited on p.254.
[99] I. Ushakov. Reliability: Past, present, future. In N. Limnios and M. Nikulin, editors, Recent Advances in Reliability Theory. Statistics for Industry and Technology, pages 321. Boston, MA: Birkhäuser, 2000. ISBN 0-8176-4135-1.doi: 10.1007/978-1-46121384-0_1. Cited on p.263. · Zbl 0961.90025
[100] P.R. Vittal, V. Thangaraj, and V. Muralidhar. Stochastic dynamics for passage times and diusion approximations for nite capacity storage models with dierent kinds of barriers. Stoch. Anal. Appl., 31(4):574589, 2013. ISSN 0736-2994.doi: 10.1080/07362994.2013.800373. Cited on p.260. · Zbl 1280.60053
[101] W.Weibull. De dynamiska egenskaperna hos spiralfjädrar. Ingeniörs Vet. Akad. Handl. 70 (1927), 25 p. (1927), 1927. Cited on p.260. · JFM 57.1030.08
[102] W. Weibull.A statistical theory of the strength of materials. Ingeniörsvetenskapsakademienshandlingar.Generalstabens litograska anstalts förlag, Stockholm, 1939.Paul Barringer Memorial Website. Cited on pp.260and261.
[103] W. Weibull. A statistical distribution function of wide applicability. J. Appl. Mech., 18:293297, 1951. ISSN 0021-8936; 15289036/e. Cited on p.260. · Zbl 0042.37903
[104] W. Wierzbicki.Bezpiecze«stwo budowli jako zagadnienie prawdopodobie«stwa. Przegl¡d Techniczny, LXXV(24):690691,
[105] W. Wi¦sªaw.Pierwsze polskie teksty z rachunku prawdopodobie«stwa. In W. Wi¦sªaw, editor, Wokóª Bernoullich. XIX Ogólnopolska Szkoªa Historii Matematyki. Zamo±¢ 6-10 czerwca 2005, pages 99106. Katedra Matematyki Stosowanej Politechniki Lubelskiej, Lublin, 2006. Title trans. The First Polish Texts from the Probability Calculus. The extended versions of lecture delivered at the conference co-organized by Committee on Mathematical History of the Polish Mathematical Society. . Cited on p.258.
[106] W. Wi¦sªaw.Pocz¡tki rachunku prawdopodobie«stwa na ziemiach polskich.In W. Ostasiewicz, editor, Na ±cie»kach historii statystyki, pages 99131. Wydawnictwo Uniwersytetu Ekonomicznego, Wrocªaw, 2013. Title trans. The Origins of Probability Calculus in Polish Lands. The extended versions of lecture delivered at the conference dedicated to the centenary of the establishment of thePolish Statistical Association. Cited on p. 258.
[107] W. Wi¦sªaw.Pierwsza polska rozprawa z rachunku prawdopodobie«stwa. ‘l¡ski Przegl¡d Statystyczny (Silesian Statistical Review), 13(19):251281, 2015. ISSN 1644-6739; 2449-9765/e.doi: 10.15611/sps.2015.13.16. Title trans. The rst Polish dissertation on the probability calculus. Cited on p.258.
[108] T. Wo¹niak. Model reologiczny eksploatacji maszyn dla potrzeb sterowania zasobami materiaªowymi. Raport 11/1977/p-172, Instytutu Geotechniki(W06/I11), Politechnika Wrocªawska, 1977. Promotor: prof. dr hab. in». Jan Sajkiewicz. Title trans.: Rheological model of machine operation for the control of material resources. Defended: 19.12.1977. Cited on p.268.
[109] W.A. Woyczy«ski. Seeking Birnbaum. Wiadom. Mat., 33:137 154, 1997. ISSN 0373-8302. Cited on p.261. · Zbl 0958.01027
[110] W.A. Woyczy«ski. Seeking Birnbaum, or nine lives of a mathematician. Math. Intelligencer, 23(2):3646, 2001. ISSN 0343-6993. URLhttps://doi.org/10.1007/BF03026626. Translated from Wiadom. Mat. 33 (1997), 137154 [ MR1615839 (99g:01037)]. Cited on p.261.
[111] G. Wyªupek.Józef Šukaszewicz (19272013). Web pageIn memoriamonKomisja Statystyki Komitetu Matematyki Polskiej
[112] ›ycie Warszawy. Jeszcze o matematyce na odkrywce. ›ycie Warszawy: codzienne pismo dla wszystkich sfer. R.21(284) str. 3. Spóªdzielnia Dziennikarska Czytelnik, Warszawa., 1964. ISSN: 0137-9437; 26 listopada 1964. Cited on pp.252and256.
[113] ›ycie Warszawy. Do Redaktora ›ycia: Matematyce poza odkrywk¡..›ycie Warszawy: codzienne pismo dla wszystkich sfer. R.21(297) str. 3. Spóªdzielnia Dziennikarska Czytelnik, Warszawa., 1964. ISSN: 0137-9437; 11 grudnia 1964. Cited on pp.257and273.
[114] A.A. Youshkevitch. Markov. In C.C. Gillispie, editor, Dictionary of Scientic Biography, volume 9, pages 124130. Charles Scribner’s Sons, New York, 1974. Published under the auspices of the American Council of Learned Societies. Cited on p.259.
[115] W. Zieli«ski. Ryszard Zieli«ski (19322012). Mat. Stosow., 40(2): 4363, 2012. ISSN 1730-2668. Dual Polish-English text. Cited on p.254.
[116] W. Zieli«ski. Ryszard Zieli«ski (1 July 193230 April 2012). Mat. Stosow., 40(2):ix, 2012. ISSN 1730-2668. Dual EnglishPolish text. Cited on p.254.
[117] W.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.