Mathematica 2015

So the latitude

𝜑 (
 𝑖 ) = 90° − 𝛼 (
𝑖 ) + (
𝑖 𝑖)

= 90° − 50.308244597° + 12.8333333 == 51.875088736° = 51°52′30"

And we can calculate the longitude too:

Time difference to Greenwich: 11:53:31-12:00:00=-00:06:29=- 0.10805555555556 hours

Angular difference to Greenwich= -0.10805555555556*15=- 1.620833333334°=-1°37’15”

Longitude= result + equation of time for 22 nd April 2015 = -1°37’15”-1’26”=- 1°38’41”

Hence, according to my calculations, the Lab’s coordinates are:

51°52'30" N; 1°38’41” W

Whereas the actual ones are: 51°26’23”N 0°5’2”W (Google Maps).

I located the Lab… somewhere north-west of Oxford! Sir Ernest Shackleton OA would not be proud of me…

Figure 6: The location of our Lab (right pin) against my predictions (left pin).

Puzzle No.2

Use the numerals 1, 9, 9 and 6 exactly in that order to make the following numbers: 28, 32, 35, 38, 72, 73, 76, 77, 100 and 1000 You can use the mathematical symbols +, -, ×, /, √, ^ (exponent symbol) and brackets. Example: 63 = 1×9+9×6

32

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