Abstract: This paper studies the control-oriented recursive identification of finite impulse response systems with binary-valued observations. Inspired by the Maximum Likelihood method, a novel ...

Fibonacci sequences are sequences of numbers whose first two elements are 0, 1, and such that, starting from the third number, every element of the sequence is the sum of the previous two. They are of ...

Abstract: We observe that the computational inefficiency of branched recursive functions was not appropriately covered in almost all textbooks for computer science courses in the first three years of ...

To understand recursion, you must first understand recursion. You may think of recursion as a programming structure where a function calls itself. We call such a function a recursive function. Many ...

The Golden Ratio (GR), often denoted by the Greek letter phi (Φ), is a mathematical ratio commonly found in nature, art, and architecture. This irrational number, approximately equal to 1.618, has ...

Say you’re at a party with nine other people and everyone shakes everyone else’s hand exactly once. How many handshakes take place? This is the “handshake problem,” and it’s one of my favorites. As a ...

This Java program calculates Fibonacci numbers using two methods: a simple recursive approach and an optimized dynamic programming approach with memoization. It explores algorithm efficiency, ...

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...