Soviet grandmasters hold a virtual lock on the top 10 positions in the world chess rankings, according to the International Chess Federation ratings just published in Lucerne, Switzerland.

World champion Gary Kasparov remained at the top of FIDE's twice-annual rating list with 2,800 points, 75 points ahead of his perennial challenger, Anatoly Karpov.Boris Gelfand and Vassily Ivanchuk followed in third and fourth places.

Five Soviet grandmasters occupied the next slots in the rankings. Only the Swede Ulf Andersson and Gata Kamsky, who plays for the United States, broke into the top circle, tying for 10th with two Soviets.

In the women's rankings, Hungary's Judit Polgar remained top with 2,540 points. Her sister, Zszuzse, is second with 2,510 points. A third sister, Sofia, fell from eighth to 11th place.

Top men:

1. Gary Kasparov, Soviet Union, 2,800

2. Anatoly Karpov, Soviet Union, 2,725

3. Boris Gelfand, Soviet Union, 2,700

4. Vassily Ivanchuk, Soviet Union, 2,695

5. (tie) Evgeny Bareev, Soviet Union, 2,650

Mikhail Gurevich, Soviet Union, 2,650

Jann Ehlvest, Soviet Union

8. (tie) Leonid Yudasin, Soviet Union, 2,654

Valery Salov, Soviet Union, 2,645

10. (tie) A. Beliavsky, Soviet Union, 2,640

Ulf Andersson, Sweden, 2,640

A. Khalifman, Soviet Union, 2,640

Gata Kamsky, United States, 2,640

Top women:

1. Judit Polgar, Hungary, 2,540

2. Zszuzse Polgar, Hungary, 2,510

3. Maya Chiburdanidze, Soviet Union, 2,485 (women's world champion)

4. (tie) Pia Cramling, Sweden, 2,470

Nana Ioseliani, Soviet Union, 2,470

6. Jun Zie, China, 2,460

7. N. Gaprindashvili, Soviet Union, 2,450 (former women's champion)

8. K. Arakhamia, Soviet Union, 2,440

9. Alisa Galliamova, Soviet Union, 2,435

10. Alisa Marie, Yugoslavia, 2,425

And where do these "rating" numbers come from?

"Rating" is a numerical evaluation of the strength of a player based upon his results against other graded, or rated, players.

The initial rating is revised by adding or deducting a number, weighted by the opponent's rating, after the win or loss.

Few rating systems existed before World War II. The first in England, the BCF, did not appear until March 1954.

At about the same time, the United States Chess Federation (USCF) introduced a rating system of its own.

But by the 1960s it had begun to show serious inaccuracies.

It was replaced by the Elo System named after Professor Arpa E. Elo, who was principally responsible for devising it.

This is the international rating system existing now.

Britain continues to use its own British Chess Federation (BCF) system, and in Germany a bit different mathematical system, called the "Ingo System" named after Herr Hoesslinger of Ingostadt. It can be converted to the BCF rating system by the formula: Ingo equals 280 minus BCF. There is also a complicated formula for converting the BCF into the Elo System. Please don't ask for an explanation, but here is the formula: Elo equals 8 BCF + 600 so that: BCF equals 1/2 Elo minus 75. It has been estimated that a grandmaster with an Elo rating of 2,500 would have a BCF rating of 238. (Clear as mud? Class dismissed!)

- CONGRATULATIONS TO THE SOLVERS! - Gordon Green, Alison Hermance, Jim Reed, Edwin O. Smith, Stanley Hunt, Aaron T. Kennard, Nathan Kennard, Raeburn Kennard, Russell Anderson, William DeVroom, Kim Barney, Jack Crandall, Eugene Wagstaff, Kay Lundstrom, Ashley Ann Graves, Hal Harmon, Hal Knight, Ted Pathakis, David Moody, Robert W. Lee, Ardean Watts and Ramon Bassett.

White to move and mate in two. Solution to Problem No. 2,761: 1. Q-K5 (Qe5).headline byline2 ~

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