I am reading an introductory text on Turing machines( https://en.wikipedia.org/wiki/Turing_machine) and I have some questions. The first one is the following: Prove that there is a single-tape Turing machine that doubles words of the form $1^n$ (result 1 to the 2n power), and works $O(nlogn)$ clock cycles. Could you please help me to solve this problem?
2026-03-30 00:53:01.1774831981
One tape Turing machine for doubling 1's
287 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated 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 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 TURING-MACHINES
- Has the effort to confirm $\Sigma(5)$ and the search for new champions with $6$ states been stopped?
- Pop-up cards Turing complete?
- How does a cellular automaton "know" when to halt?
- Is the halting problem also undecideable for turing machines always writing a $1$ on the tape?
- Proof of "Extension" for Rice's Theorem
- Do we need enumeration to find the maximal number of steps a special Turing machine can make?
- Deciding wether a language is regular, in the arithmetic hierarchy
- Can a machine exist making more steps than the current record, which is no busy beaver?
- Can the halting problem for bounded Turing machines be efficiently decided?
- Can we efficiently determine the function $f(n,s)$?
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?