We know that log(n) = O(sqrt n ) I am wondering if is it valid to say that log(n) is theta( sqrt n ) . numerically , i proved that it is right ; yet i am not too sure about it . Would like some help
question regarding asymptotic runtime behavior
73 Views Asked by laur smith At
1
There are 1 best solutions below
Related Questions in RUNTIME
- Razor.RuntimeCompilation creates an error
- Runtime Error 5 in VBA: Invalid Procedure Call or Argument
- I get this message when I open (most) games on my PC
- How to download and add .class/.jar file dynamically in java runtime class path Spring Boot 3.x
- Subsetting a list of files within a folder to apply python function
- Unable to download CSV file from web URL with runtime using python
- Set button Height from a constant value defined in a class in WPF
- Set picklist Value as default value in a field on sales a engagement Runtime Object
- How to adjust differences of hardwares while executing code
- Published .NET 8 Application Includes Windows SDK for .NET 6
- Method definition and objects in Java
- How to save the JavaScript runtime state
- St_union function taking a long time to run (R)
- Pass python script directly to python -m timeit
- Showing only previous output
Related Questions in BIG-O
- Why is the runtime for this O(n)?
- What is the average and worst-case time complexity of my string searching algorithm?
- Complexity in Union of disjointed sets with lists
- Usage of merge in linux sort utility
- How to find big o of dependent loops and recursive functions?
- calculating number of operations in algorithm
- How to differentiate between O(n^2) and O(2^n) in dynamic programming with 2 parameters with memoization?
- Having confusion with calculating Big O complexity
- Write code to match a specific Big-O-Notation
- Error vs time complexity in big-O notation
- Time complexity of simultaneous iteration
- Time complexity for recursive binary search that also prints current subarray
- What's the Time Complexity of two separate inner loops nested in an outer loop?
- String manipulation & algorithmic complexity
- Big O notation of string permutation in Python
Related Questions in COMPLEXITY-THEORY
- Given partially sorted array of type x<y => first apperance of x comes before first of y, sort in average O(n)
- What's the complexity of `+=` for a string in Python
- How to find big o of dependent loops and recursive functions?
- Understanding Unary PCP Reduction to a Matching Problem (UPCP)
- How to determine the time complexity of a recursive function that has a loop enclosed in it?
- Does the square root of an input lie in the middle of that input?
- Hash Table creation runtime complexity
- Optimization - Algorithm for finding load set combination that returns the maximum Von Mises stress
- Time complexity of a divide and conquer algorithm that searches for a value in an n x m table, rows and columns are sorted
- Big O notation of string permutation in Python
- finding the time complexity of the program
- how do i find the time complexity (big O) of this triple loop?
- determine the big o running time of the method
- Reduction from Hamiltonian path to Tripartite decision problem
- How to implement the Sosic and Gu linear algorithm for the n-queens problem
Related Questions in ASYMPTOTE
- Proper Instructions to get Asymptote working in MikTeX LaTeX to create inline Graphs
- Issue with Asymptote Execution in LaTeX: "failed to create directory /.asy."
- I cannot produce svg images with asymptote
- Asymptote code doesn't generate triangle in a pictures
- How to create a regression function that predicts X values based on Asymptotic Regression using SciPy-optimize?
- How do I exclude certain values when drawing a graph?
- How do I render this Asymptote code into an image?
- If f(n) = Θ(g(n)) does that f(n) is asymptotically equal to g(n)?
- Asymptote compiled on Git Bash gives Cygwin Error
- Asymptote can not create label
- Fit a line (asymptotic?) forced through 0
- MiKTeX exception caught: Unknown MiKTeX exception with asymptote
- Math equation to find number of iterations in asymptotic loop?
- Why does f(n) and g(n) needs to be non-negative function while defining Θ
- How to find growth rate of function?
Trending Questions
- UIImageView Frame Doesn't Reflect Constraints
- Is it possible to use adb commands to click on a view by finding its ID?
- How to create a new web character symbol recognizable by html/javascript?
- Why isn't my CSS3 animation smooth in Google Chrome (but very smooth on other browsers)?
- Heap Gives Page Fault
- Connect ffmpeg to Visual Studio 2008
- Both Object- and ValueAnimator jumps when Duration is set above API LvL 24
- How to avoid default initialization of objects in std::vector?
- second argument of the command line arguments in a format other than char** argv or char* argv[]
- How to improve efficiency of algorithm which generates next lexicographic permutation?
- Navigating to the another actvity app getting crash in android
- How to read the particular message format in android and store in sqlite database?
- Resetting inventory status after order is cancelled
- Efficiently compute powers of X in SSE/AVX
- Insert into an external database using ajax and php : POST 500 (Internal Server Error)
Popular # Hahtags
Popular Questions
- How do I undo the most recent local commits in Git?
- How can I remove a specific item from an array in JavaScript?
- How do I delete a Git branch locally and remotely?
- Find all files containing a specific text (string) on Linux?
- How do I revert a Git repository to a previous commit?
- How do I create an HTML button that acts like a link?
- How do I check out a remote Git branch?
- How do I force "git pull" to overwrite local files?
- How do I list all files of a directory?
- How to check whether a string contains a substring in JavaScript?
- How do I redirect to another webpage?
- How can I iterate over rows in a Pandas DataFrame?
- How do I convert a String to an int in Java?
- Does Python have a string 'contains' substring method?
- How do I check if a string contains a specific word?
log nis NOT inTheta(sqrt n), sincesqrt nis asymptotically greater thanlog n, meaning thatlog nisn't inOmega(sqrt n). In other words,sqrt ncannot be an asymptotic lower bound forlog n.Refer to this definition of big theta. Substitute
sqrt nforg(n)andlog nforf(n)in the definition and you will see that you can easily find ak2andn0such that the definition is satisfied (which is whylog nis inO(sqrt n)), while finding a suitablek1will prove impossible (which is whylog nis NOT inOmega(sqrt n)).