The Mathematical Syntax of Binary Search
The Logic Binary search is the quintessential example of logarithmic time complexity. Instead of searching linearly, we divide the problem space in half at each step. The maximum number of comparisons required is defined by: $$ T(n) = \log_2(n) + 1 $$ The Implementation In JavaScript, we express this formal logic as follows: function binarySearch(arr, target) { let left = 0; let right = arr.length - 1; // Implementation logic... }