Search results
Results From The WOW.Com Content Network
Acta Mathematica Sinica (English series) is a peer-reviewed mathematics journal published quarterly by Springer.Founded in 1936 and split into a Chinese series and an English series in 1985, the journal publishes articles on all areas of mathematics, and allows submissions from researchers of all nationalities.
Acta Mathematicae Applicatae Sinica (English series) is a peer-reviewed mathematics journal published quarterly by Springer. Established in 1984 by the Chinese Mathematical Society, the journal publishes articles on applied mathematics. According to the Journal Citation Reports, the journal had a 2020 impact factor of 1.102. [1]
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
Acta Mathematica is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani , this journal is "considered by many to be the most prestigious of all mathematical research journals". [ 1 ]
The area of triangle OAD is AB/2, or sin(θ)/2. The area of triangle OCD is CD/2, or tan(θ)/2. Since triangle OAD lies completely inside the sector, which in turn lies completely inside triangle OCD, we have < < .
In mathematics, the values of the trigonometric functions can be expressed approximately, as in (/), or exactly, as in (/) = /. While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots .
For example, the cosine and sine of 2π ⋅ 5/37 are the real and imaginary parts, respectively, of the 5th power of the 37th root of unity cos(2π/37) + sin(2π/37)i, which is a root of the degree-37 polynomial x 37 − 1.
Sun Song (Chinese: 孙崧; pinyin: Sūn Sōng, born in 1987) is a Chinese mathematician whose research concerns geometry and topology.A Sloan Research Fellow, he was a professor in the Department of Mathematics of the University of California, Berkeley from 2018 until 2023.