Zero point:
líng diǎn
English name: zero point
[Edit this paragraph]1 , twelve o'clock in the night.
[Edit this paragraph] 2. Zero Point Band.
Band members:
Lead singer: Zhou Xiaoou, with a razor-like voice and a child-like smile.
Guitarist: Da Mao, not good at words, steady and introverted.
Bass player: Wang Xiaodong, loves to show off, loves to play, is popular, and is a good housekeeper.
Keyboard player: Chao Luomeng, optimistic, gentle-tempered, always smiling.
Drummer: Ermao, respected as the second brother, a naughty boy and the king of jokes.
[Edit this paragraph] 3. Zero point in mathematics:
For the function y=f(x), the real number x such that f(x)=0 is called the function f(x ).
In this way, the zero point of the function y=f(x) is the real root of the equation f(x)=0, which is the intersection point of the graph of the function y=f(x) and the x-axis. The abscissa of > 〓The function y=f(x) has zero points
It can be seen that finding the real root of the equation f(x)=0 is to determine the zero points of the function y=f(x). Generally, for For the equation f(x)=0 whose root cannot be found using the formula method, we can connect it with the function y=f(x) and use the properties of the function to find the zero point to find the root of the equation.
For a holomorphic function f, the complex number a satisfying f(a) = 0 is called the zero point of f.
The fundamental theorem of algebra states that any polynomial with complex coefficients that is not a constant has at least one zero point in the complex plane. This is not the same as the case with real numbers: some polynomials with real coefficients have no real roots. An example is f(x) = x2 1.
The zero points of a holomorphic function have an important property: the zero points are all isolated. That is to say, for any zero point of a holomorphic function, there is a domain in which there are no other zero points.