Klu raises \$1.7M to empower AI Teams

# What is Big O notation?

by Stephen M. Walker II, Co-Founder / CEO

## What is Big O notation?

In computer science, big O notation is used to classify algorithms according to how their running time or space requirements grow as the input size grows.

Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity.

## What is the time complexity of an algorithm?

The time complexity of an algorithm is the amount of time it takes to run an algorithm. The time complexity of an algorithm is affected by the input size, the number of operations, and the speed of the processor.

## What is the space complexity of an algorithm?

The space complexity of an algorithm is the amount of memory required to run the algorithm. In AI, the space complexity of an algorithm is often related to the size of the problem being solved. For example, a simple algorithm for solving a Sudoku puzzle might require only a few kilobytes of memory, while a more complex algorithm for solving a Rubik’s Cube might require several megabytes of memory.

## What are the most common time complexity classes?

There are four common time complexity classes in AI: * Constant time: An algorithm is said to be in constant time if the time it takes to run is independent of the size of the input. * Logarithmic time: An algorithm is said to be in logarithmic time if the time it takes to run is proportional to the logarithm of the size of the input. * Linear time: An algorithm is said to be in linear time if the time it takes to run is proportional to the size of the input. * Polynomial time: An algorithm is said to be in polynomial time if the time it takes to run is proportional to a polynomial of the size of the input.

## What are the most common space complexity classes?

There are four common space complexity classes in AI: * Constant * Logarithmic * Linear * Polynomial

Constant space complexity is the simplest, and it means that the algorithm only uses a constant amount of space, regardless of the size of the input. Logarithmic space complexity is only slightly more complex, and it means that the algorithm uses a logarithmic amount of space, meaning that the space used grows logarithmically with the size of the input.

Linear space complexity is more common, and it means that the algorithm uses a linear amount of space, meaning that the space used grows linearly with the size of the input. Polynomial space complexity is the most complex, and it means that the algorithm uses a polynomial amount of space, meaning that the space used grows exponentially with the size of the input.

## More terms

### Red Teaming

Red teaming is a process where a group of security professionals, known as the red team, simulate attacks on an organization’s systems to identify vulnerabilities and test its defenses.