MathJoy

 (1) Give an option to allow seting the SUDO mode as a default setting (2) To learn form WinSCP to allow bookmarking some frequently used path as bookmarks, so users can access them conveniently. 

First, it is necessary to introduce the following definitions 1 , The function is said to be increasing at \(x_{0}\) if for all \(x\) -values in some interval about \(x_{0}\) it is true that when \(x_{0} < x\) then \(y_{0} < y\) , and when \(x_{0} > x\) then \(y_{0} > y\) . The function is said to be decreasing at \(x_{0}\) if for all \(x\) -val ues in some interval about \(x_{0}\) it is true that when \(x_{0} < x\) then \(y_{0} > y\) , and when \(x_{0} > x\) then \(y_{0} < y\) . Then the definition of “a function is non-decreasing at \(x_{0}\) ” is introduced by extend the definition of increasing above. The function is said to be non-decreasing at \(x_{0}\) if for all \(x\) -values in some interval about \(x_{0}\) it is true that when \(x_{0} < x\) then \(y_{0} \leq y\) , and when \(x_{0} > x\) then \(y_{0} \geq y\) . The intermediate value theorem states: If \(f\) is a continuous function on a closed interval \(\lbrack a,b\rbr...