May 



1883. 



KNOWLEDGE ♦ 



317 



Hence, by a little tedious multiplication and addition, we obtain 

 Ir 



\/0STlUvi7.,^,2s/2v/l7-v'17)('>/l7-l)-16v'2'/l7+Vi7j 

 S (10) 



Wc will selett the upper sign, for x + - 

 But .r + -= I- 



X 



.— rf + i- = i-— 1 



and '°2 2 



Eeleciing the upper sign we have 



X = i + '"~ wliere v is the function on the right hand side 



of equation (10). A. il. M. 



&m €l)fss Column. 



By Mephisto. 



THE TOURXAilEXT. 

 SCORE UP TO TUESDAY NIGHT. 



The first, round of the Tournament is all but finished, and the 

 second round was fixed to be(.'in on Tliursday, the 24th inst. The 

 players who had no draws to play off are enjoying a welcome holi- 

 day, while both Rosenthal and English will not have finished their 

 games by Thursday, as they still have three draws each to play off. 

 Theirs is by no means one of the best scores, and their position con- 

 firms the axiom that players whose play is of an undecisive cha- 

 racter, favourable to producing drawu games, will not take high 

 honours in a TournameRt. 



The following players have still games to play : — Steinitz 1 (against 

 Rosenthal, his only draw as yet), MasoD 1, English 3, Winawer 1, 

 Rosenthal 3, Makcnzio 2, Xoa 1. The quality of play has been highly 

 satisfactory on the whole, although by no means free from acci- 

 dental results, only less so than in other Tournaments. If we com- 

 pare the position of some of the players after the conclusion of the 

 first round at this Tournament with the Vienna Tournament of last 

 year, some very remarkable results are obtained. Thus, at Vienna, 

 Mackenzie stood at the head with a score of 12J, which put him 

 above Steinitz, Blackbume. and Zukertort, while here his score is 

 very low, and hardly half that of Zukertort, who, again, stood three 

 below Mackenzie at Vienna. 



The lion share of praise belongs to Zukertort. Taking the great 

 excellence of his fellow competitors into consideration, his noble 

 score of 12 out of a possible 13 is the finest score made in any 

 tourney. His play is vivacious and elegant, which is particularly 



refreshing in contrast to dulness practised in other quarters. His 

 firmness and steadiness is a proof of a sound body, as well as a 

 sound mind. If he keeps in the same good physical condition 

 throughout the next hot month he will carry off the first prize. 



Steinitz (9) has sacrificed too much in favour of certain openings, 

 and has, therefore, paid a jienalty which will materially injure his 

 chance for first prize. Everything proceeds forward with rapid 

 strides now-a-days, and the player, who through confidence in him- 

 self, engendered by former victories, thinks he may do without 

 keeping within the bounds marked out by the latest analysis of the 

 openings, will certainly meet with unexpected reverses. 



Tcshigorin (9) has not only proved himself a highly original and 

 inventive player, but as being possessed of those staying qualities 

 so valuable towards success in a tourney. He has, indeed, whatever 

 his final position may be, achieved high honours by his fine victories 

 over some of the best men, viz., Steinitz, Winawer, Blackbume, and 

 Mackenzie. 



Mason has gone on with his usual steadiness, and although he has 

 not exceeded himself, he is, nevertheless, in the foremost rank, his 

 present score being 8J. 



On Tuesday Rosenthal played the two Knights, to which Steinitz. 

 replied with 3. P to KKt3, as in his games with Blackbume and 

 Zukertort. The result of this perseverance in the wrong direction 

 was that Steinitz sustained a decisive defeat, placing him at & 

 against Zukertort's 12. 



POSITION' AFTER BLACK'S ICtii MOVE IX THE FIXAL. 

 GAME BETWEEN ZUKEUTORT AXD ENGLISH. 



English. 

 Black. 



■White. 

 Zukertort. 

 Zukertort finished the game in very elegant style by playirg- 



47. Q to Kto, Q takes Q (forced) 



48. P Queens (ch), K to B2 



49. Q takes Kt (ch) ! K takes Q 



50. Kt to B7 (ch), K to K4 



51. Kt takes Q, and White won after 68 moves. 



