
Copyright 20112019. All Rights Reserved.
Twitter Updates
Error: Twitter did not respond. Please wait a few minutes and refresh this page.

Recent Posts
 September in Paris
 Talk on Alternative Factor Investing
 Bond Talk on May 23
 New Paper on Bond Portfolio Dynamics
 Spam Followers
 The Invisible RunOff
 My Letter to the Wall Street Journal
 Quarter the Cross: An Elegant Construction
 Quarter the Cross
 My FT Alphaville Commentary on Managing U.S. Treasury Debt
Top Posts & Pages
 Fast Formulas #1: Average Life of Mortgage (as Scheduled)
 Fast Formulas #3: Pool Average Life with CPR Prepayments
 Fast Formulas #2: Average Life of Mortgage (Amortizing with Balloon)
 Fast Formulas #3: The Spreadsheet
 Generating Sitemap Links with Excel
 Puzzle #2: Weighted Average LTV
 Fast Formulas #4: Geometric Series (One of the Tricks)
 Good Fences Make Good Spreadsheets, Part 1
 Good Fences Make Good Spreadsheets, Part 3
 Quasirandom Christmas Trees
Recent Comments
Categories
Archives
Tag Cloud
 Average Life Formula
 Benjamin T. Solomon
 Big Data
 Bond Math
 Bond Math Puzzle
 Bond Puzzle
 Brandeis University
 Brookings Institution
 Calculus
 Calendar Puzzle
 Callable Premium Bonds
 Carmen Reinhart
 Christmas Trees
 Closed Formula
 Conferences
 Cool Graphs
 Derivative
 Economics
 Excel Tables
 Fast Formulas
 Federal Reserve
 Finance Math Puzzle
 Financial Math
 Floating Rate Debt
 FRNs
 GARP
 Geometric Series
 Gravitation
 Halton Sequence
 Humor
 Innovations
 Interest Rate Risk
 Japan
 Johann Sebastian Bach
 Ken Rogoff
 Loan Average Life
 Marc Faber
 Math
 MATLAB
 Matt Henderson
 MortgageBacked Securities
 Municipal Bonds
 Municipal Finance Conference
 National Debt
 Optimization
 Physics
 Precious Metals
 Public Debt
 Pure Math
 Puzzle
 Puzzle #1
 Puzzle #2
 Puzzle #3
 QuasiGeometric Series
 Quasirandom
 Quotes
 QWAFAFEW
 Representing Numbers
 Seeking Alpha
 Space Travel
 Spreadsheet Tips
 Talks
 TED Talks
 The Bond Buyer
 Thomas Herndon
 Treasury Debt
 Treasury Floaters
 Tsunami
 U.S. Treasury
 U.S. Treasury Debt
 UC Denver
 volunteerAKITA
 Weighted Average Life
 Weighted Average LTV
 Weighted Average Maturity
Blogroll
Consultants
Father/Daughter Math Adventures
LinkedIn
Recommended Music
Tumblr
Meta
Tag Archives: Representing Numbers
Happy 5 2 0 1!
Last year, in Happy 0 0 1 0 0 1 0 0 0 0 1!, I discussed an interesting way to represent numbers based on their prime factorization. For example, 63 is represented by 0 2 0 1 because 63 = 20 … Continue reading
Happy 0 0 1 0 0 1 0 0 0 0 1!
Most systems for representing numbers are a combination of the visible and invisible. In the familiar baseten system, we represent numbers by linking visible digits to an invisible scaffold of powers of ten. For example, 534.08 implies the respective multiplication … Continue reading
Posted in Fast Formulas, Math, Music
Tagged Fundamental Theorem of Arithmetic, Prime Numbers, Pure Math, Representing Numbers, WellTempered
3 Comments
A New(?) Way to Visualize Numbers
After I saw Matt Henderson’s visual demonstration of how the geometric series 1/4 + 1/16 + 1/64 . . . adds to 1/3, I thought about how to generalize this for any geometric series. This led to a way to … Continue reading
Posted in Fun, Graphic Presentation, Math, Visualization
Tagged Georg Cantor, Matt Henderson, Pi, Pure Math, Representing Numbers, Visualizing Numbers
Leave a comment