It allowed the display of expressions of fractions, exponents, logarithms, powers and square roots etc. Exponentiation with integer exponents can be defined in any multiplicative monoid. The definition of ordinal exponentiation for finite exponents is straightforward. This equation introduces the relation between the characteristic exponents formula 64 and formula 67. These eigenvalues are also called local Lyapunov exponents. And the rule of exponents is still verified for all integers . The same idea allows fast computation of large exponents modulo a number. This approximation scheme is especially easy to use when working with exponents. This allowed the user to directly perform calculations involving roots and exponents. Among violinists, T. Chowdiah emerged as one of the most accomplished exponents of the time. However, there are generalizations of this formula valid for other exponents. His list replicated the known primes of his time with exponents up to 19. Another phenomenon which shows phase transitions and critical exponents is percolation. He was one of the leading exponents of the postmodern movement. He was also among the foremost exponents of the study of human capital.