22 papers · ranked by Valyu relevance
Sayan Goswami, Sourav Kanti Patra, Lorenzo Luperi Baglini
In this article, we show that the partition regularity of exponential triples admits a simple proof by means of the Hales-Jewett theorem. By adapting this proof, we extend in several directions (including polynomial extension) many celebrated results about the partition regularity of finite and infinite exponential…
Ahmed Z. Afify, Ahmed M. Gemeay, Nada M. Alfaer, Gauss M. Cordeiro + 2 more
'Eslam H. Hafez' 'Éloi Bossé'] We introduce here a new distribution called the power-modified Kies-exponential (PMKE) distribution and derive some of its mathematical properties. Its hazard function can be bathtub-shaped, increasing, or decreasing. Its parameters are estimated by seven classical methods. Further…
Jean-Louis Loday
For a commutative algebra which comes from a Zinbiel algebra the exponential series can be written without denominators. When lifted to dendriform algebras this new series satisfies a functional equation analogous to the Baker-Campbell-Hausdorff formula. We make it explicit by showing that the obstruction series is the…
Robert Kropholler, Rylee Alanza Lyman, Thomas Ng
We introduce a quantitative characterization of subgroup alternatives modeled on the Tits alternative in terms of group laws and investigate when this property is preserved under extensions. We develop a framework that lets us expand the classes of groups known to have locally uniform exponential growth to include…
Govinda Prasad Dhungana, Vijay Kumar, Robert Jeenchen Chen
This study suggested a new four-parameter Exponentiated Odd Lomax Exponential (EOLE) distribution by compounding an exponentiated odd function with Lomax distribution as a generator. The proposed model is unimodal and positively skewed whereas the hazard rate function is monotonically increasing and inverted bathtubs.…
Mary Pickering, Lauren Nicole Hollis, Edridge D’Souza, Nicholas Rhind
How the rate of cell growth is influenced by cell size is a fundamental question of cell biology. The simple model that cell growth is proportional to cell size, based on the proposition that larger cells have proportionally greater synthetic capacity than smaller cells, leads to the predication that the rate of cell…
J. M. Almira, László Székelyhidi
In this paper N, Z, R, C denote the set of natural numbers, integers, reals, and complex numbers, respectively. We note that 0 is in N. We use the following standard multi-index notation: for each natural number d the elements of N d are called multi-indices. Whenever α, β are multi-indices, and x is in C d , then we…
Ricardo Pérez-Marco
We define transalgebraic functions on a compact Riemann surface as meromorphic functions except at a finite number of punctures where they have finite order exponential singularities. This transalgebraic class is a topological multiplicative group. We extend the action of the e˜ne product to the transcendental class on…
Usman Rashid, Nitika Kumari, Nada Signal, Denise Taylor + 1 more
'Alain C. Vandal'] Single and double exponential models fitted to step length symmetry series are used to evaluate the timecourse of adaptation and de-adaptation in instrumented split-belt treadmill tasks. Whilst the nonlinear regression literature has developed substantially over time, the split-belt treadmill…
Adele Padgett
We adapt the construction of the field of logarithmic-exponential transseries of van den Dries, Macintyre, and Marker to build an ordered differential field of sublogarithmictransexponential series. We use this structure to build a transexponential Hardy field closed under composition. Specifically, we prove that the…
A. Acus, A. Dargys
Closed form expressions in a coordinate-free form in real Clifford geometric algebras (GAs) Cl0,3, Cl3,0, Cl1,2 and Cl2,1 are found for exponential function when the exponent is the most general multivector (MV). The main difficulty in solving the problem is connected with an entanglement or mixing of vector and…
James M. Chappell, Azhar Iqbal, Lachlan J. Gunn, Derek Abbott + 1 more
'Cheng-Yi Xia'] As is well known, the common elementary functions defined over the real numbers can be generalized to act not only over the complex number field but also over the skew (non-commuting) field of the quaternions. In this paper, we detail a number of elementary functions extended to act over the skew field…
Charles Eads
This report describes and illustrates a set of automatable multicomponent exponential relaxation analysis protocols that are model-agnostic and suited to extracting information under circumstances when little prior knowledge about the underlying system is used. Methods are illustrated and mathematical and physical…
Joshua Horton, Simon Boothroyd, Pavan Behara, David Mobley + 1 more
The Lennard-Jones potential is the most widely-used function for the description of non-bonded interactions in transferable force fields for the condensed phase. This is not because it has an optimal functional form, but rather it is a legacy resulting from when computational expense was a major consideration and this…
Martin Schonger, Daniela Sele
Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where treatments differ in the parameterization of growth: Exponential growth is communicated to one group in terms of growth rates, and in terms of doubling times to the other.…
harry gray
The matrix exponential method as implemented in MATLAB is demonstrated as a facile tool for solving the time-dependent concentrations of an arbitrary chemically reactive network modelled as a coupled linear system of first-order differential equations. The method is used to verify a 10 species network incorporating…
Ana-Hermina Ghenu, Loïc Marrec, Claudia Bank
After more than 100 years of generating monoculture batch culture growth curves, microbial ecologists and evolutionary biologists still lack a reference method for inferring growth rates. Our work highlights the challenges of estimating the growth rate from growth curve data and shows that inaccurate estimates of…
Prathitha Kar, Sriram Tiruvadi-Krishnan, Jaana Männik, Jaan Männik + 1 more
Collection of high-throughput data has become prevalent in biology. Large datasets allow the use of statistical constructs such as binning and linear regression to quantify relationships between variables and hypothesize underlying biological mechanisms based on it. We discuss several such examples in relation to…
Bahar Acay, Mustafa Inc, Yu-Ming Chu, Bandar Almohsen
We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by employing the local proportional derivative defined by the proportional derivative (PD) controller. Under some…
Carsten Schneider
A summation framework is developed that enhances Karr's difference field approach. It covers not only indefinite nested sums and products in terms of transcendental extensions, but it can treat, e.g., nested products defined over roots of unity. The theory of the so-called $RΠΣ⁎$-extensions is supplemented by…
Arianna Cylke, Shiladitya Banerjee
Bacterial populations typically exhibit exponential growth under resource-rich conditions, yet individual cells often deviate from this pattern. Recent work has shown that the elongation rates of Escherichia coli and Caulobacter crescentus increase throughout the cell cycle (super-exponential growth), while Bacillus…
Authors not listed
This work presents the LabIMotion extension for the Chemotion Electronic Lab Notebook (ELN), expanding its capabilities from organic chemistry to support interdisciplinary research and enabling the description of workflows. LabIMotion enhances documentation by introducing customizable components structured across three…