37.
See the appendix, "The Law of Accelerating Returns Revisited," which provides a mathematical derivation of
why there are two levels of exponential growth (that is, exponential growth over time in which the rate of the
exponential growth—the exponent—is itself growing exponentially over time) in computational power as
measured by MIPS per unit cost.
38.
Hans Moravec, "When Will Computer Hardware Match the Human Brain?"
Journal of Evolution and
Technology
1 (1998), http://www.jetpress.org/volumel/moravec.pdf.
39.
See note 35 above.
40.
Achieving the first MIPS per $1,000 took from 1900 to 1990. We're now doubling the number of MIPS per
$1,000 in about 400 days. Because current priceperformance is about 2,000 MIPS per $1,000, we are adding
price-performance at the rate of 5 MIPS per day, or 1 MIPS about every 5 hours.
41.
"IBM Details Blue Gene Supercomputer,"
CNET News
, May 8, 2003, http://news.com.com/2100-1008_3-
1000421.html.
42.
See Alfred North Whitehead,
An Introduction to Mathematics
(London: Williams and Norgate, 1911), which
he wrote at the same time he and Bertrand Russell were working on their seminal three-volume
Principia
Mathematica
.
43.
While originally projected to take fifteen years, "the Human Genome Project was finished two and a half years
ahead of time and, at $2.7 billion in FY 1991 dollars, significantly under original spending projections":
http://www.ornl.gov/sci/techresources/Human_Genome/project/ 50yr/press4_2003.shtml.
44.
Human Genome Project Information,
http://www.ornl.gov/sci/techresources/Human_Genome/project/privatesector.shtml; Stanford Genome
Technology Center, http://sequence-www.stanford.edu/group/techdev/auto.html; National Human Genome
Research Institute, http://www.genome.gov; Tabitha Powledge, "How Many Genomes Are Enough?"
Scientist
,
November 17, 2003, http://www.biomedcentral.com/news/20031117/07.
45.
Data from National Center for Biotechnology Information, "GenBank Statistics," revised May 4, 2004,
http://www.ncbi.nlm.nih.gov/Genbank/genbankstats.html.
46.
Severe acute respiratory syndrome (SARS) was sequenced within thirty-one days of the virus being identified
by the British Columbia Cancer Agency and the American Centers for Disease Control. The sequencing from
the two centers differed by only ten base pairs out of twenty-nine thousand. This work identified SARS as a
coronavirus. Dr. Julie Gerberding, director of the CDC, called the quick sequencing "a scientific achievement
that I don't think has been paralleled in our history." See K. Philipkoski, "SARS Gene Sequence Unveiled,"
Wired News
, April 15, 2003, http://www.wired.com/news/medtech/0,1286,58481.00.html?tw=wn_story
_related.
In contrast, the efforts to sequence HIV began in the 1980s. HIV 1 and HIV 2 were completely sequenced
in 2003 and 2002 respectively. National Center for Biotechnology Information,
http://www.ncbi.nlm.nih.gov/genomes/framik.cgi?db=genome&gi=12171; HIV Sequence Database
maintained by the Los Alamos National Laboratory, http://www.hiv.lanl.gov/content/hiv-
db/HTML/outline.html.
47.
Mark Brader, "A Chronology of Digital Computing Machines (to 1952),"
http://www.davros.org/misc/chronology.html; Richard E. Matick,
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