21 Since this discussion took place Professor Pickering has posited from the perturbations of Uranus, two other outer planets beyond Neptune: P and S. [↩︎]
22 Colonel Benjamin Hanlon, commanding officer of the Detective Division attached to the District Attorney’s office. [↩︎]
23 “Louise” was Vance’s favorite modern opera, but he greatly preferred Mary Garden to Farrar in the title rôle. [↩︎]
24 It may be recalled that the World’s accounts of the Bishop case were the envy of the other metropolitan newspapers. Sergeant Heath, though impartial in his statements of facts to the press, nevertheless managed to save several picturesque bonnes-bouches for Quinan, and permitted himself certain speculations which, while having no news value, gave the World’s stories an added interest and color. [↩︎]
25 Guilfoyle, it may be remembered, was one of the detectives who shadowed Tony Skeel in the Canary murder case. [↩︎]
26 Hennessey had kept watch with Doctor Drumm over the Greene mansion from the Narcoss Flats, in the Greene murder case. Snitkin also had taken part in the Greene investigation, and had played a minor rôle in both the Benson and the Canary case. The dapper Emery was the detective who had unearthed the cigarette stubs from beneath the fire-logs in Alvin Benson’s living-room. [↩︎]
27 An important step toward the solution of these complex problems was taken a few years later by the de Broglie-Schrödinger theory as laid down in de Broglie’s “Ondes et Mouvements” and Schrödinger’s “Abhandlungen zur Wellenmechanik.” [↩︎]
28 For the benefit of the expert chess-player who may be academically interested I append the exact position of the game when Pardee resigned:—WHITE: King at QKtsq; Rook at QB8; Pawns at QR2 and Q2. BLACK: King at Q5; Knight at QKt5; Bishop at QR6; Pawns at QKt7 and QB7. [↩︎]
29 The final five unplayed moves for Black to mate, as I later obtained them from Vance, were:—45. RxP; KtxR. 46. KxKt; P—Kt8 (Queen). 47. KxQ; K—Q6. 48. K—Rsq; K—B7. 49. P—Q3; B—Kt7 mate. [↩︎]
30 I am obviously unable to set down Vance’s exact words, despite the completeness of my notes; but I sent him a proof of the following passages with a request that he revise and edit them; so that, as they now stand, they represent an accurate paraphrase of his analysis of the psychological factors of the Bishop murders. [↩︎]