-
Archives
- November 2024
- September 2024
- March 2024
- January 2024
- November 2023
- October 2023
- September 2023
- June 2023
- April 2023
- March 2023
- February 2023
- December 2022
- October 2022
- September 2022
- July 2022
- June 2022
- May 2022
- December 2021
- November 2021
- October 2021
- September 2021
- August 2021
- July 2021
- April 2021
- March 2021
- January 2021
- December 2020
- October 2020
- August 2020
- April 2020
- March 2020
- February 2020
- November 2019
- July 2019
- June 2019
- April 2019
- March 2019
- February 2019
- January 2019
- December 2018
- October 2018
- April 2018
- February 2018
- November 2017
- September 2017
- July 2017
- June 2017
- May 2017
- April 2017
- March 2017
- February 2017
- January 2017
- December 2016
- November 2016
- August 2016
- July 2016
- June 2016
- May 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- October 2015
- September 2015
- August 2015
- June 2015
- May 2015
- April 2015
- March 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- April 2014
- March 2014
- February 2014
- January 2014
- December 2013
- November 2013
- October 2013
- September 2013
- August 2013
- July 2013
- June 2013
- May 2013
- March 2013
- February 2013
- January 2013
- December 2012
- November 2012
- October 2012
- August 2012
- July 2012
- June 2012
- May 2012
- April 2012
- March 2012
- February 2012
- January 2012
- December 2011
- November 2011
- October 2011
- August 2011
- July 2011
- June 2011
- May 2011
- April 2011
- March 2011
- February 2011
- January 2011
- December 2010
- November 2010
- October 2010
- September 2010
- August 2010
- July 2010
- June 2010
- May 2010
- April 2010
- March 2010
- February 2010
- January 2010
- December 2009
- November 2009
- October 2009
- September 2009
- August 2009
- July 2009
- June 2009
- May 2009
- April 2009
- March 2009
- February 2009
- January 2009
- December 2008
- November 2008
- October 2008
- September 2008
- August 2008
- July 2008
- June 2008
- May 2008
- April 2008
- March 2008
- February 2008
- January 2008
- December 2007
- November 2007
- October 2007
- September 2007
- August 2007
- July 2007
- June 2007
- May 2007
- April 2007
- March 2007
- February 2007
- January 2007
- December 2006
- November 2006
- October 2006
- September 2006
- August 2006
- July 2006
- June 2006
- May 2006
- April 2006
- March 2006
- February 2006
- January 2006
- December 2005
- November 2005
- October 2005
- September 2005
- August 2005
- July 2005
- June 2005
- May 2005
- April 2005
- March 2005
- February 2005
- January 2005
- December 2004
- November 2004
- October 2004
- September 2004
- August 2004
- July 2004
- June 2004
- May 2004
- April 2004
- March 2004
- February 2004
- January 2004
- December 2003
- November 2003
- October 2003
- September 2003
- August 2003
- July 2003
- June 2003
- May 2003
- April 2003
- March 2003
- February 2003
- January 2003
- December 2002
- November 2002
- October 2002
- September 2002
- August 2002
- July 2002
- June 2002
- May 2002
- April 2002
- March 2002
- February 2002
-
Meta
Category Archives: sciences
Taylor series of integral of exponential of Fourier series
I have experimented with integrals of exp(i·f(t)) where ”f(t)” is a polynomial. I express these integrals as Taylor series, which are not hard to generate. Now I’d like to try f(t) = a·t + Σbk·sin(k·t) and I have a horrid … Continue reading
Posted in curve-fitting
Leave a comment
more bent frets
Some simplified meantone guitars (here showing only the first octave): pentatonic (GDAEB); seven naturals; three flats and two sharps; six flats and six sharps.
Posted in mathematics, music+verse
Leave a comment
31 frets
Here is the neck of a guitar that I’d like to have made someday, if I should ever develop the dexterity to make it worthwhile. The blue stripes show where standard frets would be, for comparison. The tuning is my … Continue reading
Posted in mathematics, music+verse
2 Comments
phase-packing
I just thought of a new kind of packing problem, a mutant extension of the Thomson problem. In this version, each particle has coordinates in two independent spaces; in each it is confined to a sphere (of some dimension). In … Continue reading
Posted in mathematics
1 Comment
O fairest of randomizers
On most numbered dice, opposite sides are complementary; on a cube, for example, they add to 7. As a result, if you have the skill to throw a die so that the {1,2,3} corner lands on the table, the upward … Continue reading
Posted in mathematics
4 Comments
shining eyes
Could an animal have eyes like a reflecting telescope, rather than with a lens? The back of the eyeball is a paraboloid mirror, and the retina is a small body on its focal plane. Because the retina must be small, … Continue reading
witness on Whidbey
I watched Behind the Curve (2018), a documentary about the Flat Earth movement. In the beginning, Mark Sargent says (I paraphrase), “I know the Earth is not round because I can see Seattle from here [Whidbey Island].” If I knew … Continue reading
Posted in astronomy, mathematics
Leave a comment