For a given positive integer $n$, what is the $O( )$ time complexity of computing $n^n$, that is, $n$ to the power $n$? I think I know the solution but wasn't sure if it was correct. My solution that I got was O(n log(n)).
2026-04-01 06:08:33.1775023713
What is the Big-O time complexity of n to the power n
1.9k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ASYMPTOTICS
- Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients
- How to find the asymptotic behaviour of $(y'')^2=y'+y$ as $x$ tends to $\infty$?
- Correct way to prove Big O statement
- Proving big theta notation?
- Asymptotics for partial sum of product of binomial coefficients
- Little oh notation
- Recurrence Relation for Towers of Hanoi
- proving sigma = BigTheta (BigΘ)
- What's wrong with the boundary condition of this $1$st order ODE?
- Every linearly-ordered real-parametrized family of asymptotic classes is nowhere dense?
Related Questions in COMPUTER-SCIENCE
- What is (mathematically) minimal computer architecture to run any software
- Simultaneously multiple copies of each of a set of substrings of a string.
- Ackermann Function for $(2,n)$
- Algorithm for diophantine equation
- transforming sigma notation into harmonic series. CLRS A.1-2
- Show that if f(n) is O(g(n) and d(n) is O(h(n)), then f(n) + d(n) is O(g(n) + h(n))
- Show that $2^{n+1}$ is $O(2^n)$
- If true, prove (01+0)*0 = 0(10+0)*, else provide a counter example.
- Minimum number of edges that have to be removed in a graph to make it acyclic
- Mathematics for Computer Science, Problem 2.6. WOP
Related Questions in COMPUTATIONAL-COMPLEXITY
- Product of sums of all subsets mod $k$?
- Proving big theta notation?
- Little oh notation
- proving sigma = BigTheta (BigΘ)
- sources about SVD complexity
- Is all Linear Programming (LP) problems solvable in Polynomial time?
- growth rate of $f(x)= x^{1/7}$
- Unclear Passage in Cook's Proof of SAT NP-Completeness: Why The Machine M Should Be Modified?
- Minimum Matching on the Minimum Triangulation
- How to find the average case complexity of Stable marriage problem(Gale Shapley)?
Related Questions in PROOF-EXPLANATION
- (From Awodey)$\sf C \cong D$ be equivalent categories then $\sf C$ has binary products if and only if $\sf D$ does.
- Help with Propositional Logic Proof
- Lemma 1.8.2 - Convex Bodies: The Brunn-Minkowski Theory
- Proof of Fourier transform of cos$2\pi ft$
- Total number of nodes in a full k-ary tree. Explanation
- Finding height of a $k$-ary tree
- How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?
- Inner Product Same for all Inputs
- Complex Derivatives in Polar Form
- Confused about how to prove a function is surjective/injective?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?