# How to Calculate the Fibonacci Sequence in Logarithmic Time

How to Calculate the Fibonacci Sequence in Logarithmic Time. The naïve solution to the famous Fibonacci problem is exponential and most people can solve it in constant time. But can we do better?

The naïve solution to the famous Fibonacci problem is exponential and most people can solve it in constant time. But can we do better? Definitely.

## What is the Fibonacci problem?

This is a classic problem in which the nth term is the sum of the previous two terms. The first two terms are 1 and 1. The third is 2, the fourth is 3, then 5, 8, etc.

## How is it commonly solved?

Most commonly, people tend to employ a simple recursive solution that calls the function on the previous two terms. Obviously, this is incredibly inefficient and runs in exponential time (each function call branches into two separate function calls of size n-1 or n-2).

``````// calculates nth term of fibonacci, 1 indexed
Procedure Fib_Naive(int n):
if(n < 3):
return 1;
end_if
return Fib_Naive(n-1) + Fib_Naive(n-2)
end_Fib_Naive``````

## Fibonacci, improved

A better approach would be either to have a recursive function that can either memorize or keep a temporary variable holding the previous two terms.

Alternatively, we could just keep a temp variable and program this iteratively, which is preferable since recursion generally takes longer than iterative solutions (this is because calls being pushed onto the call stack require extra assembly code instructions).

## 50 Data Science Jobs That Opened Just Last Week

Data Science and Analytics market evolves to adapt to the constantly changing economic and business environments. Our latest survey report suggests that as the overall Data Science and Analytics market evolves to adapt to the constantly changing economic and business environments, data scientists and AI practitioners should be aware of the skills and tools that the broader community is working on. A good grip in these skills will further help data science enthusiasts to get the best jobs that various industries in their data science functions are offering.

## Applications Of Data Science On 3D Imagery Data

The agenda of the talk included an introduction to 3D data, its applications and case studies, 3D data alignment and more.

## 4 Linear Algebra topics you need to domain in Data Science

And where you can learn them. First and foremost, I want to apologise myself for the lack of stories and content in the lasts weeks…they have been hectic! Following the confirmation of our last 20M crowdfunding at Ravelin we have seen a wave of new clients coming in, which is always great news, but also quite a lot of work! But ok now, enough of all this rambling of mine

## Linear Algebra for Data Science: A new way to start — Part 1

Linear Algebra for Data Science: A new way to start Ideas and suggestions from Prof. Gilbert Strang’s Vision of Linear Algebra

## Correlation between Linear Algebra and Data Science

Since the start of my data science journey, I have always tried to visualize the importance of mathematics(linear Algebra in this case) in…