Francis J. O'Brien, Jr.
Applied Math., Engineering, Algonquian Studies
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About me
My docs were deleted inadvertently for about 2 weeks. They were restored on 4 June 13! |||| Scientist, inventor & writer. Employed by US Govt., Naval Station Newport. RI native. Veteran, USAF. Ph.D. Columbia. Former President, Aquidneck Indian Council. Website lists publications in (1) Algonquian Studies (2) math./stat. (3) poetry (4) essays. Latest books: (a) 500 Integrals (DocStore) and (b) A Cultural History of the Native Peoples of Southern New England (Bauu Press). Recent book is Understanding Indian Place Names in Southern New England (on Amazon) Cheers! e-mail: francis.j.obrien@navy.mil francis28@cox.net
My Stats:
Docs: 12
Views: 51871
Profile Visits: 14556
Professional Information:
company: US Navy
title: Scientist & Diversity Program Manager
industry: Defense & Space
city: Newport
state: RI, zip: 2840
country: United States
undergraduate: RI College
degree: B.A. (Philo)
year: 1973
graduate: Teachers College & Grad. Sch Arts & Sciences, Columbia
degree: M.A., M.Phil., Ph.D.
year: 1980

A general limit for exponentials
From: waabu | Date: 3/14/2013  | Views: 641

In this paper we demonstrate a general limit for exponential functions by elementary differential calculus methods (log differentiation and... ...  more>>

641 views language:
Integral x^m exp(-Bx^n) and Related integrals. 2nd ed
From: waabu | Date: 1/3/2013  | Views: 117

Four related algebraic exponential formulas in Gradshteyn and Rhyzik are derived. Shows method of deriving integrals by "inspired guessing" and... ...  more>>

117 views language:
Derivative of exp(x^n) by limit definition
From: waabu | Date: 11/27/2012  | Views: 1191

We seek to provide a plausible elementary proof outline of derivative by the limit definition. This demonstration is not available in standard... ...  more>>

1,191 views language: English
Proof that lim(n-> inf) x^n/n!=0 by Stirling’s Approximation for Factorials (Part II)
From: waabu | Date: 11/24/2012  | Views: 115

A Note is added to the original paper. An additional simpler proof of the limit is given. more>>

115 views language: English
Derivative of [ln(x)]^n by Limit Definition
From: waabu | Date: 11/14/2012  | Views: 273

The derivative of [ln(x)]^n id given by the limit definition. more>>

273 views language: English
Proof that lim(n->inf) x^n/n!=0 By Stirling’s Approximation for Factorials
From: waabu | Date: 11/14/2012  | Views: 430

A proof is given of the limit(n-->inf) x^n/n! = 0 by Stirling's approximation for factorials. See separate paper (Part II) which provides a simpler... ...  more>>

430 views language: English
Historic American Indian Place Names, Geographical Area and Density in New England: A Statistical Note
From: waabu | Date: 7/23/2012  | Views: 236

Description and statistical analysis of Indian place names distributed by language/dialect in John C. Huden's New England Indian place names text. ...  more>>

236 views language:
Neologisms: A Compilation of New Words Suggested for Incorporation into the Engliah Language
From: waabu | Date: 2/23/2010  | Views: 762

Neologisms A compilation of new words suggested for incorporation into the English language Moondancer ... ...  more>>

762 views language: English
A Peasant's Philosophy
From: waabu | Date: 6/28/2009  | Views: 157

The authors personal philosophy taught by peasants in the Olneyville Square section of Providence RI more>>

157 views language: English
Algonquian Prayer: Keihtanit-oom
From: waabu | Date: 6/24/2009  | Views: 137

A bilingual prayer created in 1998 in primitive Massachusett (now extinct American Indian langauge) more>>

137 views language: English
Algonquian Prayer: The Lord’s Prayer
From: waabu | Date: 6/24/2009  | Views: 95

The Lords Prayer translated by missionary Rev. John Eliot in 1669 into the Massachusett Indian language, now extinct Eliot is author of the Bible... ...  more>>

95 views language: English