“pi”的概念、定义、翻译、参考文献-科学参考

Physics

Symbol π‎. The ratio of the circumference of any circle to its diameter. It is a transcendental number with the value 3.141 592….

Mathematics

For any circle, the length of the circumference divided by the length of the diameter is the same, and this number is the value of π‎. It is equal to 3.14159265 to 8 decimal places. Sometimes π‎ is approximated as $\frac{22}{7}$ . In 1761 Lambert showed, using continued fractions, that π‎ is irrational. In 1882, Lindemann proved further that π‎ is transcendental. π‎ appears in some contexts that seem to have no connection with the definition relating to a circle, as in the Basel problem

$\frac{π^{2}}{6} = 1 + \frac{1}{2^{2}} + \frac{1}{3^{2}} + \frac{1}{4^{2}} + \dots$

and in Wallis’ product

$\frac{π}{2} = \frac{2}{1} \times \frac{2}{3} \times \frac{4}{3} \times \frac{4}{5} \times \frac{6}{5} \times \frac{6}{7} \times \dots .$

See also tau.

Statistics

The ratio of the circumference of a circle to its diameter; π=3.141 592 65….

Chemical Engineering

A transcendental number with a value of 3.141 592 . . . It is the ratio of the circumference of a circle to its diameter.

单词	pi
释义	pi Physics Symbol π‎. The ratio of the circumference of any circle to its diameter. It is a transcendental number with the value 3.141 592…. Mathematics For any circle, the length of the circumference divided by the length of the diameter is the same, and this number is the value of π‎. It is equal to 3.14159265 to 8 decimal places. Sometimes π‎ is approximated as $\frac{22}{7}$ . In 1761 Lambert showed, using continued fractions, that π‎ is irrational. In 1882, Lindemann proved further that π‎ is transcendental. π‎ appears in some contexts that seem to have no connection with the definition relating to a circle, as in the Basel problem $\frac{π^{2}}{6} = 1 + \frac{1}{2^{2}} + \frac{1}{3^{2}} + \frac{1}{4^{2}} + \dots$ and in Wallis’ product $\frac{π}{2} = \frac{2}{1} \times \frac{2}{3} \times \frac{4}{3} \times \frac{4}{5} \times \frac{6}{5} \times \frac{6}{7} \times \dots .$ See also tau. Statistics The ratio of the circumference of a circle to its diameter; π=3.141 592 65…. Chemical Engineering A transcendental number with a value of 3.141 592 . . . It is the ratio of the circumference of a circle to its diameter.
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