Seeming Unreasonable,Whereas Reasonable——the Aesthetic Features of Defamiliarization Theory;

On the irrationality of Cantor series;

This paper analyzes on the concrete reasons of the unreasonable comp laints in the management of the superhighway, probes into some effective ways of avoiding the unreasonable complaints, and points out that the related personnel should accept the unreasonable complaints with sincere attitude, uphold the smi ling service, and increase the level of the management and service of the superh ighway.

This paper attempts to popularize the two conclusions in elementary mathematics:the deduction of "2 is one of the irrational numbers" and "the thermo of internal bisector for triangle".

This article,according to the power series expansion and the Leibniz theorem,had proven,using the reduction to absurdity,when n is the non-vanishing integer,sin(l/n) is an irrational number.

A Taylor formula with integral form surplus term is deduced,by means of which e is simply proved to be an irrational number.

Sum of square roots of prime numbers is irrational;

The generalized Fibonacci sequence can prove that square roots of integer is either integer or irrational.

In the paper,I research into the relation between the recurring continued fraction and the quadratic irrational Firstly I prove any recurring continued faction is all the quadratic irrational,and then offer the general method changing the recurring continued fraction into the quadratic irrationa