Given following recursive equation:
$$T(n) = T(n-3) + \Theta(1)$$
Is it correct that this equation is O(1)?
2026-03-30 11:10:01.1774869001
Correctness of complexity analysis of recursive algorithm
89 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ALGORITHMS
- Least Absolute Deviation (LAD) Line Fitting / Regression
- Do these special substring sets form a matroid?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Correct way to prove Big O statement
- Product of sums of all subsets mod $k$?
- (logn)^(logn) = n^(log10+logn). WHY?
- Clarificaiton on barycentric coordinates
- Minimum number of moves to make all elements of the sequence zero.
- Translation of the work of Gauss where the fast Fourier transform algorithm first appeared
- sources about SVD complexity
Related 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 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 RECURSIVE-ALGORITHMS
- Designing an algorithm for integer multiplication
- Pre - calc problem turned hard, easier method for this formula?
- Simple recursive algorithms to manually compute elementary functions with pocket calculators
- Divide set into two subsets of equal sum and maximum this sum
- How many times can I do (n-1)/2 and get a whole number, recursive to formula
- Solving $A_{n+1}=3A_n+2^n$
- How to get QuickSort algorithm to run in any time between $n\log n$ and $n^2$
- Counting the number of binary heaps created with N elements with duplicite numbers
- Computation of compositions of ceilings and divisions
- How do I fight loss of significance and/or improve convergence for this recursive algorithm?
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?
You apply the recursive equation approximately $n/3$ times to get down to the base case, and each time you apply the equation you get a $\Theta(1)$ contribution. Thus the complexity is $T(n) = \Theta(n)$.