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 ...

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 ...

Implementing the Fibonacci Sequence in Three Different Methods (Python Algorithms): Write three different Python functions to generate the Fibonacci sequence: using ...

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 ...

The Fibonacci numbers are generated by setting \\(F(0)=0, F(1)=1\\), and then using the recursive formula \\[ \\] to get the rest. Thus the sequence begins: \\(0, 1 ...

ABSTRACT: Recently the new unique classes of hyperbolic functions-hyperbolic Fibonacci functions based on the “golden ratio”, and hyperbolic Fibonacci l-functions based on the “metallic proportions” ...

Dynamic programming is a method frequently applied to optimization problems, problems where we are looking for the best solution to a problem. A famous example of an optimization problem is the ...

The Columbia University Kermit Project website is frozen effective 1 October 2011, but remains available as a public resource. A new Kermit Project website has been established outside of Columbia at ...