Curriculum Vitae
Contents:
 | Articles, Projects, and Related Links |
| Patents |
| Presentations |
| Professional Service |
| Publications |
| Multimedia |
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Event Verification System (EVS™/Vericam™, Patent No. 5,799,083) |
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Interior Mailbox Light (Postlite™, Patent No. 5,975,713) |
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Portable Ashtray (SmokeMate™, Patent No. 5,673,709) |
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Luminous Pull-Cord (Opticord™, Patent No. 5,454,056) |
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Household Safety Receptacle (Digisafe™, Patent No. 5,320,545) |
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H. J. Brothers, "Intervallic scaling in the Bach cello suites." Fractals, Vol. 17, No. 4, 2009; pages 537-545.
(Supplementary material can be found here.) |
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H. J. Brothers, "How to design your own pi to e converter." |
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H. J. Brothers, "Structural scaling in Bach’s cello suite no. 3." Fractals, Vol. 15, No. 1, 2007; (Supplementary material can be found here.) |
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H. J. Brothers, Improving the convergence of Newton's series approximation for e. College Mathematics Journal, Vol. 35, No. 1, 2004; (The above article appears with permission of CMJ. Supplementary material can be found here.) |
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J. A. Knox and H. J. Brothers, Novel series-based approximations to e. College Mathematics Journal, Vol. 30, No. 4, 1999; (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.) |
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H. J. Brothers and J. A. Knox, New closed-form approximations to the Logarithmic Constant e. The Mathematical Intelligencer, Vol. 20, No. 4, 1998; |
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Mandel-Bach Journey: A Marriage of Musical and Visual Fractals, Bridges Conference, Pecs, Hungary, July 28, 2010. |
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Fractals and Music, The MathScience Innovation Center, Richmond, VA, August 16, 2007. |
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Fractal Music Lab: A Modern Approach to the Mensuration Canon, Norwalk Community College, Norwalk, CT, March 28, 2006. |
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Fractal Music, Mathematical Association of Two-Year Colleges in Connecticut, North Haven, CT, April 29, 2005. |
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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. |
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Fractal Music Lab, Yale University Workshop on Fractal Geometry, New Haven, CT, August 17, 2004. |
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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. |
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Mandelbrot Zoom, produced for the feature length documentary BACH & Friends, January, 2010. |
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The Bach Project, interview with filmmaker Michael Lawrence for feature length documentary on Bach in the 21st century, December 5, 2008. |
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Mandelbrot's World of Fractals, Technical consultant for DVD by Nigel Lesmoir-Gordon, Gordon Films UK, in conjunction with Yale University and the National Science Foundation, December, 2003. |
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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. |
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Referee for The College Mathematics Journal, 2003. |
| Brothers Technology |
| See Harlan on YouTube for the Bach Project (Michael Lawrence) |
| Watch this new fractal animation, a Mandelbrot zoom Harlan produced for BACH & Friends |
| Listen to Harlan's original compositions on MySpace. |
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Science News (Ivars Peterson) |
| Mathematical Association of America (Ivars Peterson) |
| On-Line Encyclopedia of Integer Sequences: Rises & runs triangle |
| OEIS: Leibniz harmonic triangle (row products) |
| OEIS: Rises or runs of length 2 |
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NASA Goddard Institute for Space Studies (John Knox) |
| The Citizen Scientist (Forrest Mimms) |
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Wolfram Research (Eric Weisstein) |
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Science Magazine (Dana Mackenzie) |
| Fractal Geometry at Yale: Panorama of Uses (Michael Frame) |
| Harlan Brothers: Research on Fractal Music |
| Fractal Music Workshops |
| Yale Workshop on Fractal Music (mirror) |
| Introduction to Fractal Geometry |
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UAB Magazine (Dan Willson) |
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Wonders of Numbers (Clifford Pickover) |
| The Country School |