The methods for expressing numerical ranges in Java are: 1. Closed interval [a, b]; 2. Open interval (a, b); 3. Semi-open interval [a, b) or (a, b ]; 4. Unbounded intervals (-∞, ∞). Closed intervals can be efficiently searched using Arrays.binarySearch(), and open/semi-open intervals can be sorted and binary searched using Arrays.sort().
##Representing a range of numbers in Java
There are many ways to represent a range of numbers in Java:
1. Use closed intervals:
Use [
and] to represent a closed interval, including endpoints:
int[] range = {1, 5}; // 表示范围 [1, 5]
2. Use open intervals:
Use (
and) to represent an open interval, excluding endpoints:
int[] range = (1, 5); // 表示范围 (1, 5)
3. Use half-open intervals:
Use [
and) or
( and
] to represent half-open intervals Open intervals, including one endpoint and excluding the other:
int[] range = [1, 5); // 表示范围 [1, 5) int[] range = (1, 5]; // 表示范围 (1, 5]
4. Use unbounded intervals:
Use -∞
and∞ represents an unbounded interval, including all numbers:
int[] range = (-∞, ∞); // 表示范围 (-∞, ∞)
Note:
For closed intervals, you can use
Arrays. The binarySearch()- method efficiently searches for an element.
-
For open intervals and semi-open intervals, you can use the
Arrays.sort() method to sort the array, and then use binary search to find the element. . Unbounded intervals are often used in theoretical mathematics and are rarely used in practical applications.
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