Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Stephen Kaczkowski"'
Autor:
Stephen Kaczkowski
Publikováno v:
Surveys in Mathematics and its Applications, Vol 16 (2021), Pp 259-274 (2021)
A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived. Included are forms involving the Gregory coefficients and the Hurwitz Zeta function,
Externí odkaz:
https://doaj.org/article/1989a2ba51bf4f16ad1042454f29b927
Autor:
Stephen Kaczkowski
Publikováno v:
Theory of Probability and Mathematical Statistics. 108:45-57
Concise and convenient bounds are obtained for the probability mass and cumulative distribution functions associated with the first success run of length k k in a sequence of n n Bernoulli trials. Results are compared to an approximation obtained by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31347db02ac2eea09cf4569aa7488a73
https://doi.org/10.1090/tpms/1186
https://doi.org/10.1090/tpms/1186
Autor:
Stephen Kaczkowski
Publikováno v:
American Journal of Physics. 91:425
The problem of determining minimal time trajectories in a plane constrained by an upper bound on the magnitude of the acceleration vector is reexamined. In the previous work [Am. J. Phys. 49(7), 685–688 (1981)], a stationary solution of a functiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::533b3834a168d6106d8184c9d2194ffe
https://doi.org/10.1119/5.0114235
https://doi.org/10.1119/5.0114235
Autor:
Stephen Kaczkowski
Publikováno v:
The Mathematical Gazette. 104:435-448
Probability and expectation are two distinct measures, both of which can be used to indicate the likelihood of certain events. However, expectation values, which are often associated with waiting times for success, may, at times, speak more clearly a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4b205c3647dc2cefdb4dc86a5672c26
https://doi.org/10.1017/mag.2020.98
https://doi.org/10.1017/mag.2020.98
Autor:
Stephen Kaczkowski
Publikováno v:
Mathematics Magazine. 93:47-53
It is known that velocity averaged over time is less than or equal to velocity averaged over distance. This inequality is illustrated with some routine applied mathematics problems involving simple...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81f124e0e1721dd2241789fb24d45217
https://doi.org/10.1080/0025570x.2020.1682744
https://doi.org/10.1080/0025570x.2020.1682744
Autor:
Stephen Kaczkowski
Publikováno v:
The College Mathematics Journal. 50:93-102
A problem of widespread appeal that has been solved in a variety of ways over the past two-and-a-half centuries is Buffon’s needle problem which first appeared in 1777 in his Essai d’Arithmetique M...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f740df1039355eda7ddd53385903d4e4
https://doi.org/10.1080/07468342.2019.1560206
https://doi.org/10.1080/07468342.2019.1560206
Autor:
Stephen Kaczkowski
Publikováno v:
The Mathematical Gazette. 102:428-434
Difference equations have a wide variety of applications, including fluid flow analysis, wave propagation, circuit theory, the study of traffic patterns, queueing analysis, diffusion theory, and many others. Besides these applications, studies into t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af787e77cb2cede0d148b96a1780507a
https://doi.org/10.1017/mag.2018.109
https://doi.org/10.1017/mag.2018.109
Autor:
Stephen Kaczkowski
Publikováno v:
The Mathematical Gazette. 101:412-423
Optimisation problems are among the most practical applications of calculus to everyday life, and a survey of exercises in various calculus textbooks will provide a teacher with many interesting scenarios for framing intriguing questions on this topi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6322d3d40374b3d88c58d0cc05ccda5
https://doi.org/10.1017/mag.2017.123
https://doi.org/10.1017/mag.2017.123
Autor:
Stephen Kaczkowski
Publikováno v:
The College Mathematics Journal. 48:162-169
SummaryGlobal mean sea level rise (GMSLR) is one consequence of global warming. We develop simple, deterministic, and concise models for GMSLR. We consider just two factors, ocean thermal expansion...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::927a33360febff68ffa9319089ca99bb
https://doi.org/10.4169/college.math.j.48.3.162
https://doi.org/10.4169/college.math.j.48.3.162
Autor:
Stephen Kaczkowski
Publikováno v:
Mathematics Magazine. 89:282-287
A sequence defined by a series of exponential terms was discussed by Spivey [Math.Mag. 79 (2006) 61–65] and Holland [Math. Mag. 83 (2010) 51–54]. In this paper, a simple variation of this sequence ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cb0456ad1dd40cce90b5cab2f47eba7
https://doi.org/10.4169/math.mag.89.4.282
https://doi.org/10.4169/math.mag.89.4.282