Shardchandra mathematecian passes away

[kakatiya]

Sharadchandra Shankar Shrikhande, who along with his mentor and an American colleague disproved in 1959 what had been an unsolved 177-year old mathematical conjecture, passes away at 103.

UPDATED ON: MAY 8, 2020, 2:13 PM IST

Jaideep Hardikar

For the tribe of mathematicians, the tall and deeply thoughtful Shrikhande was a doyen, who spent a century dedicated to the cause of his discipline – in path-breaking research and teaching

Nagpur: The youngest of the ‘Euler’s Spoilers’ is no more. He was 103. Indian mathematical genius, Sharadchandra Shankar Shrikhande, who along with his mentor late RC Bose and their colleague late ET Parker disproved way back in 1959 an 18th century mathematical conjecture, passed away at Vijaywada on April 21, bringing curtains to a glorious chapter from the world of statistics and mathematics.

[kakatiya]

 humble man shot into fame six decades ago along with Bose and Parker at the University of North Carolina (UNC) when they disproved the 18th century Swiss mathematician Leonard Euler’s conjecture, showing orthogonal Latin squares corresponding to “oddly even numbers” (except 6) — numbers such as 10, 14… that, like 6, left a remainder of two when divided by four — did exist.

For that, the trio came to be known as ‘Euler’s Spoilers’.

It took 177 years for the conjecture to be falsified, a development that found its way on the front page of the New York Times on Sunday, April 26, 1959, exactly 61 years ago.

[kakatiya]

Legend is that the Czar of Russian asked Leonard Euler, a Swiss mathematician, this question: Six different regiments have six officers, each one holding a different rank. Can these 36 officers be arranged in a square formation on the parade ground so that each row and column contains one officer of each rank and one from each regiment?

The mathematical inquiry was, whether the orthogonal Latin squares of the order 6 existed. For years, the prodigious mathematician pondered over the puzzle and said “no”.

A Latin square is a Sudoku-like rectangle with equal number of rows and columns with symbols or numbers occurring only once in each row and column. It had been around for ages. For instance, Choi Seok-Jeong (1646-1715), a Korean mathematician, used orthogonal Latin squares of order 9 to construct magic squares – where the entries in rows and columns add up to the same number.

When superimposed on one another, the Mutually Orthogonal Latin Squares or MOLS give rise to a grid of order-pairs in which every order-pair appears exactly once in the whole grid.

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Rest in Peace Sir !!!