There are no numbers at the end of math, really? Look at calculus, these most basic concepts and formula definitions, and you can probably feel it. In the previous article, we introduced some basic differential contents, and calculus, as a whole and the basis of subsequent study and research, has been quite abstract (for many of us ordinary people). There are no more numbers.
Forget differential, let's talk about simple integral. Integral can be divided into indefinite integral and definite integral. Indefinite integrals also involve primitive functions and primitive function families. For example, in its concept, the function f(x) is a function defined on an interval. If a function f(x) can have dF'(x)=f(x)dx at any point in the interval, then this function F(x) is the original function of the function F(x) in this interval.
Listen, with a simple mathematical definition, there are no numbers. This definition contains the knowledge of differential derivatives, which we introduced in previous articles. Moreover, the original function of a function is not one, so there is a concept definition of the original function family. The indefinite integral is the whole original function of the function called the indefinite integral of the function. Use the special symbol ∫f(x)dx for recording.
With these basic knowledge, we can begin to introduce and learn the basic formula of integral (of course, the implied premise needs to know its nature). It is described here in the form of screenshots and pictures. Anyway, the typing format is more troublesome, unlike ordinary Chinese characters. And these are simple entry-level advanced mathematics, with no numbers. while
However, there are many branches of mathematics or related sciences, such as probability statistics, fuzzy mathematics, information theory, graph theory and so on. Every specific function derivation or formula calculation is actually a large number of symbols, and it does not involve numbers at all, because everything is highly abstract and everything is replaced by symbols. If you look through advanced mathematics or mathematics related to machine learning, it is estimated that you will have a sense of wit. There are no numbers in the mathematical formula, everything is a symbol. So you see, for us white people, we are treated as human beings. Indeed, as some netizens laughed at themselves in the short video comment area, Shen Wei looked at me the same way as I looked at my Hal.