Harlan J. Brothers: Curriculum Vitae

Patents:

Event Verification System
(EVS™/Vericam™, Patent No. 5,799,083)

Interior Mailbox Light
(Postlite™, Patent No. 5,975,713)

Portable Ashtray
(SmokeMate™, Patent No. 5,673,709)

Luminous Pull-Cord
(Opticord™, Patent No. 5,454,056)

Household Safety Receptacle
(Digisafe™, Patent No. 5,320,545)

Publications:

H. J. Brothers, "How to design your own pi to e converter." Accepted by the AMATYC Review.

H. J. Brothers, "Structural Scaling in Bach’s Cello Suite No. 3." Fractals, Vol. 15, No. 1, 2007; pages 89-95.

(Supplementary material can be found here.)

H. J. Brothers, Improving the convergence of Newton's series approximation for e. College Mathematics Journal, Vol. 35, No. 1, 2004; pages 34-39. [723KB]

(The above article appears with permission of CMJ. Supplementary material can be found here.)

J. A. Knox and H. J. Brothers, Novel series-based approximations to e. College Mathematics Journal, Vol. 30, No. 4, 1999; pages 269-275. [126KB]

(NOTE: The above paper was selected by mathematicians Ron Larson, Robert P. Hostetler, and Bruce H. Edwards as one of the fifty best articles on calculus from MAA periodicals. It is now a supplement to their textbook, Calculus with Analytic Geometry, Seventh Edition.)

H. J. Brothers and J. A. Knox, New closed-form approximations to the Logarithmic Constant e. The Mathematical Intelligencer, Vol. 20, No. 4, 1998; pages 25-29. [1,143KB]

Presentations:

Fractals and Music, The MathScience Innovation Center, Richmond, VA, August 16, 2007.

Fractal Music Lab: A Modern Approach to the Mensuration Canon, Norwalk Community College, Norwalk, CT, March 28, 2006.

Fractal Music, Mathematical Association of Two-Year Colleges in Connecticut, North Haven, CT, April 29, 2005.

Rubbing Shoulders With Newton: A New Look at a Fundamental Constant of Nature, Society for Amateur Scientists, 3rd Annual Meeting, Las Vegas, NV, January 14, 2005.

Fractal Music Lab, Yale University Workshop on Fractal Geometry, New Haven, CT, August 17, 2004.

Exponential Explorations: Inspiring Students With Their Own Contributions to Number Theory, Joint Meeting of the Mathematical Association of Two-Year Colleges in Connecticut and the Northeast Section of the Mathematical Association of America, Danielson, CT, May 5, 2000.

Multimedia:

Keys to Fractals, Technical consultant for DVD by Nigel Lesmoir-Gordon, Gordon Films UK, in conjunction with Yale University and the National Science Foundation, December, 2003.

Liquid Crystal Glass House, Cellular automata programming for Michael Silver’s design and exhibit at “Super-ficial: The Surfaces of Architecture in a Digital Age,” New Museum of Contemporary Art, Zenith Media Lounge, New York City, January 31 - April 6, 2003.