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Engineering Management
 - Software Product Development
 - Technology Innovation

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Articles by Marc

  • A Five-Part Framework for Leaders of Innovation
    Aug 14, 2015

    A Five-Part Framework for Leaders of Innovation

    Leadership and Innovation There’s a lot of interest in innovation. Business and society recognizes the vital importance…

    6 Comments

Activity

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Experience & Education

  • Prometheus Sherpas

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Licenses & Certifications

  • Machine Learning

    Coursera Course Certificates

    Issued
    Credential ID https://coursera.org/share/3240e5acd80fd17a5b78d1132decc188

  • Certified Scrum Master

    CollabNet

Volunteer Experience

  • Plato Graphic

    Mentor - Engineering Leadership

    Plato

    - Present 5 years 10 months

    Plato (www.platohq.com) is a network of experienced engineering leaders, assembled to help other engineering leaders find their perfect mentor for their management/leadership challenges. As part of this, I mentor engineers, engineering leaders, Directors, VPs & CTOs from startups to mature companies on various leadership challenges.
    See https://www.platohq.com/mentors/Marc-LeBrun-4e223

  • Trustee & Vice President

    The OEIS Foundation Inc.

    - Present 17 years

    Science and Technology

    Trustee & Vice President for non-profit foundation to support the Online Encyclopedia of Integer Sequences Foundation, wiki and related activities.

    Welcome page on the OEIS wiki: https://oeis.org/wiki/Welcome

    The OEIS Foundation Inc. (OEISF) home page: http://oeisf.org/

    Portfolio of my attributed contributions to the OEIS:
    https://oeis.org/search?q=LeBrun&sort=created

  • Attendee / Steering Committee

    Hackers Conference

    - Present 42 years

    Arts and Culture

    "The Hackers Conference is an annual invitation-only gathering of designers, engineers and programmers to discuss the latest developments and innovations in the computer industry. The first Hackers Conference was organized in 1984" --Wikipedia

Publications

  • Carryless Arithmetic Mod 10

    College Mathematics Journal Jan 2012 / Mathematical Association of America

    [follow links on CMJ web site] Received 2013 George Polya Award
    What might arithmetic look like on an island that eschews carry digits? How would primes, squares and other number theoretical concepts play out on such an island?

    Other authors
    See publication

  • Dismal Arithmetic

    Journal of Integer Sequences

    Dismal arithmetic [since renamed "lunar" arithmetic] is just like the arithmetic you learned in school, only simpler: there are no carries, when you add digits you just take the largest, and when you multiply digits you take the smallest. This paper studies basic number theory in this world, including analogues of the primes, number of divisors, sum of divisors, and the partition function.

    Other authors
    See publication

  • Descending Dungeons and Iterated Base-Changing

    "The Mathematics of Preference, Choice and Order" / Springer

    For real numbers a,b>1 define the subscript notation a_b as the result of reinterpreting a in base b. We define subscript "dungeons" a_b_c_... of base changes (by analogy with "towers" of superscript exponents a^b^c^...). Among other things we show that sequences like 10_11_12_... grow like 10^10^(n log log n) and converge to "p-adic fixpoints". We also investigate the behavior of a_a_..._a with n a's as dynamical systems, and show they either converge (eg to the golden ratio when a=1.1)…

    For real numbers a,b>1 define the subscript notation a_b as the result of reinterpreting a in base b. We define subscript "dungeons" a_b_c_... of base changes (by analogy with "towers" of superscript exponents a^b^c^...). Among other things we show that sequences like 10_11_12_... grow like 10^10^(n log log n) and converge to "p-adic fixpoints". We also investigate the behavior of a_a_..._a with n a's as dynamical systems, and show they either converge (eg to the golden ratio when a=1.1) to a 2-cycle (eg when a=1.05 or else diverge (eg when a=100/99).

    Other authors
    See publication

  • Digital Waveshaping Synthesis

    Journal Audio Engineering Society

    Abstract: Waveshaping synthesis, a newly developed tool for the generation of musical sounds, is described. The method is well suited to implementation on a digital computer and is both economical and flexible. In addition it provides a unified conceptual framework for a number of nonlinear techniques, including frequency-modulation synthesis. Both the theory and practice of the method are developed fairly extensively, beginning with simple but useful forms and proceeding to more complex and…

    Abstract: Waveshaping synthesis, a newly developed tool for the generation of musical sounds, is described. The method is well suited to implementation on a digital computer and is both economical and flexible. In addition it provides a unified conceptual framework for a number of nonlinear techniques, including frequency-modulation synthesis. Both the theory and practice of the method are developed fairly extensively, beginning with simple but useful forms and proceeding to more complex and richer variations.

    See publication

  • A Derivation of the Spectrum of FM with a Complex Modulating Wave

    Computer Music Journal, MIT Press

    A brief exposition of a derivation of the spectrum that results when frequency modulation is performed using a complex signal as the modulating wave.

    See publication

  • Portfolio of attributed contributions to the On-line Encyclopedia of Integer Sequences (OEIS)

    The OEIS Foundation http://oeisf.org/

    Portfolio of attributed contributions to the On-line Encyclopedia of Integer Sequences (OEIS)

    See publication

Patents

Projects

  • seqweb.org

  • Keynote presentation: "Perspectives on Virtual Reality" at Silicon Valley Entrepreneurs Festival

    See project

  • Revolutionizing the Computing Experience

    - Present

    We prototyped the Mac in 1980. By Moore's Law we now have a MILLION times more computing power. What can we do with it to make the computing experience a MILLION times greater? There seems to be plenty of opportunities. This paper offers seven likely areas and calls for further progress.

    See project

  • Leadership and Innovation

    - Present

    This is a white paper about the role of leadership in successful innovation, drawn from my experience. Leaders are important because "Processes don't innovate, people do." Leaders provide an overall narrative, and useful lessons can be drawn from the arts of storytelling. The paper outlines a concrete framework of five key passages in the innovation lifecycle where leadership greatly contributes to success.

    See project

  • Computist Quiz

    -

    These days the computer industry seems enamored of inflicting puzzles on interview candidates, so a few years ago I thought I'd roll one of my own with more interesting questions. Try it! (Note: answers may entail research. Ben North wound up writing a 31 page paper! See: http://redfrontdoor.org/blog/wp-content/uploads/2012/11/triangular-numbers-20121105.pdf)
    Answer Guide here: http://fxpt.com/wp-content/uploads/2012/01/QuizAnswers.pdf

    Other creators
    See project

Honors & Awards

  • 2013 George Polya Award - Mathematical Association of America

    Mathematical Association of America

    MAA's 2013 George Polya Award for articles of expository excellence
    for "Carryless Arithmetic Mod 10" in the January 2012 issue of College Mathematics Journal
    (with co-authors David Applegate and Neil Sloane; awarded August 2013 at MathFest)

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