Update index.md (#26274)

Edited algorithm efficiency paragraph to remove "be" from the sentence "Since the algorithms today..." 

I also adjusted the period spacing at the end of the algorithm efficiency paragraph.
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Kirsten 2018-11-23 11:48:50 -05:00 committed by Aditya
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@ -19,7 +19,7 @@ Some common types of algorithms include sorting algorithms, search algorithms, a
### Efficiency
Algorithms are most commonly judged by their efficiency and the amount of computing resources they require to complete their task. A common way to evaluate an algorithm is to look at its time complexity. This shows how the running time of the algorithm grows as the input size grows. Since the algorithms today, have to be operate on large data inputs, it is essential for our algorithms to have a reasonably fast running time .
Algorithms are most commonly judged by their efficiency and the amount of computing resources they require to complete their task. A common way to evaluate an algorithm is to look at its time complexity. This shows how the running time of the algorithm grows as the input size grows. Since the algorithms today, have to operate on large data inputs, it is essential for our algorithms to have a reasonably fast running time.
### Big O
To describe the running time and efficiency of algorithms, the standard language and metric used is called Big O notation and can be denoted as `O(running time)` for example the time taken to search an element using linear search (i.e to find an element by comparing it to all the other elements in an array of size n) is `O(n)`. The notation helps us to understand how fast a particular algorithm is by making sure that it is at least as fast as the denoted run-time. [Big_O - wikipedia](https://en.wikipedia.org/wiki/Big_O_notation)