- Logarithm (Wikipedia)
In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10^3, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.
- Piano Concerto No. 1 (Tchaikovsky) (Wikipedia)
The Piano Concerto No. 1 in B♭ minor, Op. 23, was composed by Pyotr Ilyich Tchaikovsky between November 1874 and February 1875. It was revised in 1879 and in 1888. It was first performed on October 25, 1875, in Boston by Hans von Bülow after Tchaikovsky’s desired pianist, Nikolai Rubinstein, criticised the piece. Rubinstein later withdrew his criticism and became a fervent champion of the work. It is one of the most popular of Tchaikovsky’s compositions and among the best known of all piano concerti.