S = k. log W is carved on whose tombstone? The Weekend quiz

The questions

1 S = k. log W is carved on whose tombstone?
2 What was the first all-colour film to win the best picture Oscar?
3 Who are the recipients of the letters of last resort?
4 Dorothy Ashby was the pioneer of which instrument in jazz?
5 Who were the parents of Zeus, Hera, Poseidon and Hades?
6 What dog breed is named after a German tax collector?
7 What was planned by Gosplan?
8 What is a shaving horse used for?
What links:
9 Preston North End; Arsenal; Ajax; Porto; AC Milan; Juventus?
10 Large and Small Magellanic Clouds; Sagittarius Dwarf; Crater 2?
11 Philippe Junot; Stefano Casiraghi; Ernst August of Hanover?
12 Pamela; The Moonstone; Frankenstein; Les Liaisons Dangereuses; The Color Purple?
13 Puerto Rico; Carcassonne; Tigris and Euphrates; Cartagena?
14 Perry Como; Cilla Black; Sandie Shaw; Bobbie Gentry; Walker Brothers?
15 Garret Hostel; Kitchen; Magdalene; Mathematical; Sighs?

The answers

1 Ludwig Boltzmann (equation/entropy formula).
2 Gone With The Wind (in 1939).
3 Ballistic missile submarine commanders.
4 Harp.
5 Titans Cronus and Rhea.
6 Doberman Pinscher.
7 Soviet Union’s economy.
8 Woodworking.
9 Won domestic football league without losing a game.
10 Satellite galaxies of the Milky Way.
11 Husbands of Princess Caroline of Monaco.
12 Epistolary novels.
13 “German-style” board games.
14 UK No 1s with Bacharach and David songs.
15 Bridges in Cambridge.