Articles

On McShane’s Invitation to the Academy and the Economy, Divyadaan: Journal of Philosohy and Education, vol. 34, no.2, 2023: 117-146.

Method in Theology, chapter 5, “Functional Specialties,” Journal of Macrodynamic Analysis 16 (2022): 110–132.

Beginnings with Philip McShane: A Progress-Oriented Tribute, Divyadaan: Journal of Philosophy and Education: 33/1: 141-146. Courtesy of editors, also available at Journal of Macrodynamic Analysis, vol. 15 (2022): 141 – 146.

Editors’ Introduction (with James Duffy), Philip McShane, Randomness, Statistics and Emergence, 2nd ed. (Vancouver: Axial Publishing, 2021).

The notion of a thing (with Meghan Allerton), Journal of Macrodynamic Analysis, 14 (2020): 95–109.

Heuristic Notions of Space and Time (with James Duffy and Robert Henman), Journal of Macrodynamic Analysis, 14 (2020): 65-94.

Assembling the Meaning of Probability (with J. Duffy and C. Maloney), Journal of Macrodynamic Analysis, 13 (2020): 84-118.

Effective Dialectic Analysis (with James Duffy, Alessandra Gillis, Robert Henman and William Zanardi), Journal of Macrodynamic Analysis, 13 (2020): 21-44.

Searching for a Philosophy of History, Divyadaan: Journal of Philosophy and Education, 30/2, 2019: 1-22.

Toward the Positive Anthropocene Age: Closing the Gap, Divyadaan: Journal of Philosophy and Education. Vol. 28, No. 2, 2017: 299-320.

Review of Robert Henman’s Global Collaboration: Neuroscience as Paradigmatic (Vancouver: Axial Publishing, 2016), in Method: Journal of Lonergan Studies, n.s., Vol. 7, No. 2, Fall, 2016: 73-81.

Lonergan’s Core Shift in Theological Method, Divyadaan: Journal of Philosophy and Education, Vol. 27, No. 2, 2016: 123-144.

Interpreting Lonergan’s 5th Chapter of Insight, “Space and Time,” in P. Brown and J. Duffy, eds., Seeding Global Collaboration (Vancouver: Axial Publishing, 2016): 29-44.

Reaching for Collaboration in Insight, Journal of Macrodynamic Analysis, Vol. 8 (2014): 11-29.

Generalized Empirical Method in the Biological Sciences, Dialogues in Philosophy, Mental and Neurosciences, Volume 7, Issue 1 (2014): 31.

Fledgling functional foundations for the biology of the adult pigeon, Revista de Filosofía Año 45 #135, Universidad Iberoamericana, México, 2013: 123-152.

Community Climbing: Toward Functional Collaboration, Community Climbing: Toward Functional Collaboration, Journal of Macrodynamic Analysis, Vol. 8 (2014): 45-66; also, in The Second Latin American Lonergan Workshop, The Human Good, tr. into Spanish by Benjamin Luján, “La Escalada Comunitaria: Hacia una Colaboración Funcional,” Segundo Taller Latinoamericano, El Bien Humano, 13-14 Junio 2013, UIA Ciudad de México, Bernard Lonergan Latinoamérica, Online Publications.

Invitation to functional collaboration: Dynamics of progress in the sciences, technologies and arts, Journal of Macrodynamic Analysis, Vol. 7, 2012: 94-122.

The twin paradox (in special relativity) – Working toward functional interpretation, Journal of Macrodynamic Analysis, Vol. 4, 2004: 1-25.

Reflections on progress in mathematics, Journal of Macrodynamic Analysis, Festchchrift edition, Vol. 3, 2003: 97-116.

From Schrödinger to Dirac: On relations and statistics, B.N. Prasad Centenary, Commemoration, Bulletin Allahabad Math. Soc., Vol. 15, 2000: 69-100.

An Emergent Transdisciplinary Methodology for Effective Collaboration in Ecological Economics, Sustainability, 2023, 15(9), 7522.

Regarding Oslington’s Assessment of Lonergan’s Economics, Method: Journal of Lonergan Studies, to appear.

Two Sample Lessons for Introducing Two-Circuit Economics, Bent on Futurology, 2022.

On the Operative Presence of Eight Tasks in Economics, Method: Journal of Lonergan Studies, to appear.

Consumer surplus, and static (s.v.), contributor, Dictionary of Ecological Economics, Terms for the New Milliennium, eds. Brent M. Haddad and Barry D. Solomon. Cheltenham, UK: Edward Elgar Publishing, 2023.

Lonergan’s Contribution to Ecological Economics, Ecology, Economy and Society — the INSEE Journal, vol. 4, no. 1 (2021): 45- 58.

Book Review: Komlos, John (2019). Foundations of Real-World Economics, What Every Economics Student Needs to Know, 2nd edition. New York, NY: Routledge. xiii + 292 pp. $140.00. ISBN: 978-1-138-29652-7 (hbk), 978-1- 138-29654-1 (pbk), 978-1-315-09997-2 (ebk). The American Economist, June 19, 2020.

Anatomy of Economic Activity: There are Two Main Flows, Papers and Proceedings of the 2018 ICAPE Conference, American Review of Political Economy, Vol. 13, Issue 1, Spring, 2019.

Writings of Jesuit offer new thinking on economics, Tennessee Register, November 25, 2011: 14.

A direct method for computing extreme value (Gumbel) parameters for gapped biological sequence alignments (with Z. Sinkala), International Journal of Bioinformatics Research and Applications (IJBRA), Vol. 10, No. 2, 2014: 177-189.

A practical approach for computing the active site of the ribonucleoside hydrolase of E.coli encoded by rihC (with A. Farone, M. Farone, P. Kline and Z. Sinkala), Advances in Experimental Medicine and Biology, 1st Ed., Vol. 680, (Hamid, R. A., Ed.), Advances in Computational Biology, Springer, August 2010: 437-443.

Identifying the active site of ribonucleoside hydrolase of E. coli encoded by rihC (with A. Farone, M. Farone, A. Khaliq, P. Kline, Z. Sinkala), Proceedings of The 2009 International Conference on Bioinformatics & Computational Biology: BIOCOMP2009, Vol. I, Editors: H.R. Arabnia and M. Q. Yang, CSREA Press, USA, 2009: 216-218.

Dynamics of prostate cancer stem cells with diffusion and organism response (with Z. Sinkala), Biosystems, Volume 96, Issue 1, April 2009: 69-79.

Investigation of granular segregation in a horizontal rotating tube from an energy perspective [with Boles, W. (1st author); Robertson, W.; Martin, J.; Siebert, E.; Underwood, T.; Clayton, M.], Proceedings of the Earth and Space Conference, American Society of Civil Engineers, March 2008.

Natural networks and the GoogleTM search engine, Journal of the Tennessee Academy of Science, Vol. 82, Issue 1-2, January – April 2007.

Stability of multi-delay systems of differential equations: characteristic equations and applications, International Journal of Pure and Applied Mathematics (with. S. Rai), Vol. 18, No. 2, 2005.

A four dimensional system of functional differential equations for the dynamics of CD4+ T-cells and HIV-1 (with S. Rai), International Journal of Differential Equations and Applications, Vol. 9, No. 1, 2004.

A Solution of Ovsiannikov’s Reduction Problem (with S. Rai and C. C. A. Sastri), International Journal of Differential Equations, vol. 4., no. 2, 2002: 157-169.

Remarks on Partially Invariant Solutions of Differential Equations (with S. Rai and C. C. A. Sastri), Communications in Applied Analysis, vol. 4, no. 4, 2000: 475-480

Factorisation in approximately poly-normal C*-algebras: products of positive operators, Journal of Natural Geometry, Math. Res. Unit, University of London, Vol. 14, 1998: 93-132.

Factorisation of n-normal operators: products of positive operators, Proc. of the Roy. Irish Academy, Vol. 95A, 1995: 89-108.

Products of decomposable positive operators, Canadian Journal of Mathematics, Vol.46, No. 4, 1994: 854-871.

Supplement on Mathematical Understanding, in Terrance Quinn, Zine Boudhraa and Sanjay Rai, Basic Insights in Vector Calculus, with a Supplement on Mathematical Understanding (Hoboken, NJ: World Scientific, 2020), 189-225.

Variation of Parameters in Differential Equations – A Variation in Making Sense of Variation of Parameters (with S. Rai), Problems, Resources and Issues in Mathematics Undergraduate Studies (PRIMUS), 2013, 23(1): 25-44.

Discovering the Laplace transform in undergraduate differential equations (with S. Rai), Problems, Resources and Issues in Mathematics Undergraduate Studies (PRIMUS), Vol. 18, No.4, July, 2008: 309-324.

On Two Types of Learning (in mathematics) and Implications for Teaching, On Learning Problems in Mathematics, Research Council on Mathematics Learning, Mathematical Association of America, FOCUS, Fall 2004: 31-43.

Getting started in calculus, Problems, Resources and Issues in Mathematics Undergraduate Studies (PRIMUS), Volume 13, Issue 1, March, 2003: 55–74.

Pathways to Real Analysis (textbook, with S. Rai), New Delhi, India: Narosa Pub., 2009.

Archimedes to Lebesgue, Monograph, Project Portal to Success in Engineering, USA Fund for the Improvement of Postsecondary Education (FIPSE), Montgomery College, Rockville, Maryland, 2007–2009.

Introduction to Graph Theory and its Applications (from the Bridges of Königsberg to Non-Commutative Algebras), Mini-Courses in Mathematical Sciences, Division of Science, Engineering and Mathematics, Montgomery College, Rockville, MD, Fall 2004.