1- 1 chapter I common logical terms

1. 1 proposition and its relationship

The necessary and sufficient condition of 1.2

1.3 Simple logical connectives

1.4 Full name quantifier and existential quantifier

Elective course 1-2 chapter 1 statistical cases

The basic idea of 1. 1 regression analysis and its preliminary application

The basic idea of 1.2 independence test and its preliminary application

Elective courses 4-5

The first 1 lecture on inequality and absolute inequality

An inequality

Basic properties of 1. inequality

2. Basic inequality

3. Arithmetic geometric mean inequality of three positive numbers

Double absolute inequality

1. Absolute trigonometric inequality

2. The solution of absolute inequality

The second lecture explains the basic methods of inequality.

comparative law

Two synthetic methods and analytical methods

Three reduction to absurdity and scaling method

Lecture 3 Cauchy inequality and rank inequality

A two-dimensional Cauchy inequality

Two general forms of Cauchy inequality

Third-order inequality

The fourth lecture is about proving inequalities by mathematical induction.

complete induction

Second, prove the inequality by mathematical induction