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In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number k {\displaystyle k} , there exist arithmetic progressions of primes with k {\displaystyle k} terms.
Tao was the youngest participant to date in the International Mathematical Olympiad, first competing at the age of ten; in 1986, 1987, and 1988, he won a bronze, silver, and gold medal, respectively. Tao remains the youngest winner of each of the three medals in the Olympiad's history, having won the gold medal at the age of 13 in 1988. [25]
Subtracting from both sides and dividing by 2 by two yields the power-reduction formula for sine: = ( ()). The half-angle formula for sine can be obtained by replacing θ {\displaystyle \theta } with θ / 2 {\displaystyle \theta /2} and taking the square-root of both sides: sin ( θ / 2 ) = ± ( 1 − cos θ ) / 2 ...
The "Alternatives to Detention" program is tracking more than 25,000 migrants using ankle and wrist-worn monitors, which costs taxpayers an average of nearly $80,000 each day, according to ICE data.
MOSCOW (Reuters) -The Kremlin praised U.S. President-elect Donald Trump on Friday for criticising Ukrainian missile strikes deep into Russian territory but said discussions about deploying ...
A Florida TikToker responsible for the death of six farmworkers has been sentenced to 12 years in prison for the 2022 Palm Beach fatal collision.
The Tao Te Ching [note 1] (traditional Chinese: 道德經; simplified Chinese: 道德经) or Laozi is a Chinese classic text and foundational work of Taoism traditionally credited to the sage Laozi, though the text's authorship, date of composition and date of compilation are debated. [7] The oldest excavated portion dates to the late 4th ...
Kevin O'Leary, known as "Mr. Wonderful" on the television series "Shark Tank," wants to help millionaire Frank McCourt purchase TikTok.