BARS::4 Miles From Catalina on AZ Hwy-77 in Arizona

This road sign is on southbound AZ Hwy-77 (at its junction with AZ Hwy-79) in Arizona. The picture was taken on 15 March 2013 as part of MathBabber's Pi Day 2013 road trip.

The road sign says...

   +----------------+
   | Catalina     4 |
   | Oro Valley  11 |
   | Tucson      25 |
   +----------------+
   the numbers are:  4  11  25

   number system math:  114 = sqrt(25)

   rsPiEval:  (sqrt(11 + 25)! / 4) degrees = Pi radians
   * pi = 3.1415926535897932384626+

   rsCardinalityEval:  25 - 11 * sqrt(4) = 3
   * This road sign has three numbers.

   rsCardinalityEval:  sqrt(11 + 25) / sqrt(4) = 3
   * This road sign has three numbers.

   rsAgeEval:  sqrt(11 * sqrt(25))^sqrt(4) = 55
   * RoadHacker was 55 years young when he found this road sign.

   off-by-one rsStateEval:  sqrt(4) * 11 + 25 = 48-1
   * Arizona was the 48th state admitted to the Union.

   BARSfunc rsStateEval:  sqrt(4) * 25 - sum_digits(11) = 48
   * Arizona was the 48th state admitted to the Union.
   * sum_digits(n) = sum the digits of n
     domain:  n must be a prime number
   * 11 is prime; sum_digits(11) = 1+1 = 2

   BARSfunc math:  log(25 * 4) = sum_digits(11)

   BARSfunc math:  sqrt(25) - 4 = mult_digits(11)
   * mult_digits(n) = product of the digits of n
     domain:  n must be a prime number
   * 11 is prime; mult_digits(11) = 1*1 = 1

   BARSfunc math:  log(sqrt(25 * 4)) = mult_digits(11)

   This road sign is on AZ Hwy-77 and to date no rsHwyEval
   has been found. RoadHacker encountered this road sign after turning
   left on AZ Hwy-79 onto southbound AZ Hwy-77.

   pseudo-rsHwyEval:  4! + 11 * sqrt(25) = 79

This road sign resulted in the creation of the PrimeAndSquareRS categorization.

   PrimeAndSquareRS: 11 is a prime number; 4 & 25 are square numbers

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 22 March 2013

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