Results 21 to 30 of about 625,164 (340)
Exponents of indecomposability
The authors study the smallest power of a nonnegative primitive matrix that lacks zero blocks of a given size. An upper bound is given, involving also the smallest \(s\) with \(\text{tr} A^s>0\).
Stewart Neufeld +2 more
openaire +3 more sources
The main result of the paper is an very easy proof of an estimation of the Noether exponent of an ideal \(I\subset {\mathbf k}[X]= {\mathbf k}[X_1, \dots,X_n]\) without embedded components, where \({\mathbf k}\) is an algebraically closed field. Let us recall that the Noether exponent \(\mu_I\) of the ideal \(I\) is the smallest number \(\mu\in\mathbb ...
openaire +3 more sources
Recurrence and Lyapunov Exponents [PDF]
We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
openaire +5 more sources
On Khintchine exponents and Lyapunov exponents of continued fractions [PDF]
AbstractAssume that x∈[0,1) admits its continued fraction expansion x=[a1(x),a2(x),…]. The Khintchine exponent γ(x) of x is defined by $\gamma (x):=\lim _{n\to \infty }({1}/{n}) \sum _{j=1}^n \log a_j(x)$ when the limit exists. The Khintchine spectrum dim Eξ is studied in detail, where Eξ:={x∈[0,1):γ(x)=ξ}(ξ≥0) and dim denotes the Hausdorff dimension.
Fan, Ai-Hua +3 more
openaire +4 more sources
The level of emotional intelligence in students is different, and the learning outcomes obtained from the material are also different. This study was aimed to describe SMK Negeri 1 Mandau students' learning outcomes on the exponential material based on ...
Nur Rabiatul Adawiyah +2 more
doaj +1 more source
Decay of distance autocorrelation and Lyapunov exponents [PDF]
This work presents numerical evidences that for discrete dynamical systems with one positive Lyapunov exponent the decay of the distance autocorrelation is always related to the Lyapunov exponent.
Beims, M. W. +2 more
core +3 more sources
Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9
8 ...
openaire +4 more sources
Asymptotic tensor rank of graph tensors: beyond matrix multiplication [PDF]
We present an upper bound on the exponent of the asymptotic behaviour of the tensor rank of a family of tensors defined by the complete graph on $k$ vertices.
Christandl, Matthias +2 more
core +3 more sources
The Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model [PDF]
We present simulations of the 1-dimensional Oslo rice pile model in which the critical height at each site is randomly reset after each toppling. We use the fact that the stationary state of this sandpile model is hyperuniform to reach system of sizes $>
Dhar, Deepak +2 more
core +2 more sources
Building Student’s Understanding of Exponent Concept Using the Growth of the Human
This research is aimed to create a learning trajectory of exponential concept using the context of cell division in the human body. Design research was chosen as the research method consisting of three main phases. This research was conducted in class IX
Eka Susanti +2 more
doaj +1 more source

