performancebig-ocomplexity-theorydiscrete-mathematics
How to arrange the functions in the order of growth rate? So that f(n) is O(g(n))
I have the below functions that needs to be ordered in their growth rate. But how can we show that the function g(n) immediately follows function f(n) in the list, then it should be the case that f(n) is O(g(n))?
I tried by key-in some values for n (such as 10, 1000, 5000) and it is coming as 5 < 4 < 2 < 1 < 3, from 1000.
How can I prove this order asymptotically?
Solution
Please see the answer below, posting in an image due to functions and powers.
- Substring Without any Allocation Using Span<T>
- In the C if-else statement, should the condition which is more likely to be true come first?
- SQL PERFORMANCE - alternative to OR statement
- GitHub REST API: Get issue based only on title
- How to accelerate the cross-correlation computation of two 2D matrices in Python?
- Parse JSON efficiently
- ADB stopping at <waiting for devices>
- How to increase the performance of a Database?
- std::find_if vs manual loop, which one is better?
- Redundant/Better Performance Code VS Optimized/Less Performance Code
- A Faster way of Directory walking instead of os.listdir?
- How to prevent automatic handling of newlines killing performance in Perl text output?
- Efficiently count lists with certain properties
- How to explain pandas higher performances compared to numpy with 500k+ rows?
- Series of if vs else-if statements benchmarking
- Will the C++20 spaceship operator be used for equality/inequality comparisons?
- When you have an AMD CPU, can you speed up code that uses the Intel-MKL?
- Debug vs. Release performance
- C Program Runs Surprisingly Slow
- ConcurrentDictionary.AddOrUpdate method in C# how efficient is it?
- Generating all permutations efficiently
- How to efficiently count the number of keys/properties of an object in JavaScript
- Optimizing The Exact Prime Number Theorem
- Does a mutating struct function create a new copy of self?
- Best Practices for Multiple OnEdit Functions
- Identifying data frame rows in R with specific pairs of values in two columns
- Can I (and do I ever want to) set the maximum heap size in .net?
- Is it bad practice to instantiate an IConfidentialClientApplication within a class?
- Is there a way to simplify this python code?
- Which is faster - C# unsafe code or raw C++