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Search · four archives
24 papers · ranked by Valyu relevance
Saima Arshed, Ghazala Akram, Maasoomah Sadaf, Komal Saeed + 1 more
'Shou-Fu Tian'] Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications. In this paper, the KdV-CDG equation is analyzed via two reliable and efficient…
Ayyaz Ali, Muhammad Asad Iqbal, Qazi Mahmood UL-Hassan, Jamshad Ahmad + 1 more
'Jamshad Ahmad' 'Syed Tauseef Mohyud-Din'] In this study, we establish exact solutions of fractional Kawahara equation by using the idea of $\exp \,\left{- \varphi \left \eta \right}\right$-expansion method. The results of different studies show that the method is very effective and can be used as an alternative for…
S. M. Abrarov, Brendan M. Quine, Rajinder K. Jagpal
It should be noted that application of the Poisson summation formula to the functions of kind exp (−t 2 ) and exp (−t 2 ) /(t−α) such that α ∈ C\{0} , is a very efficient method in numerical integrations that was used, for example, in approximations of the Dawson's integral [3]
Gerlind Plonka, Yannick Riebe, Annie Cuyt
We present new short exponential sum approximations of length $N$ for $f_1(x)=\frac{1}{a+x}$ with $a>0$ on $[0, \infty)$ and for $f_2(x)= {\mathrm e}^{-x^2/2σ}$ with $σ>0$ on ${\mathbb R}$ with geometric error decay $ρ^{-2N}$ for user-defined $N \ge 2$ and $ρ>1$. The approximations are built over consecutive intervals…
Siamak Shams Es-haghi, Douglas J. Gardner, Ramon Artiaga, Jorge López-Beceiro + 1 more
'Jorge López-Beceiro' 'Cristina Achim'] This paper shows that using the Padé-Laplace (PL) method for deconvolution of multi-exponential functions (stress relaxation of polymers) can produce ill-conditioned systems of equations. Analysis of different sets of generated data points from known multi-exponential functions…
Hugo G.J. Damstra, Boaz Mohar, Mark Eddison, Anna Akhmanova + 2 more
Expansion microscopy (ExM) is a powerful technique to overcome the diffraction limit of light microscopy that can be applied in both tissues and cells. In ExM, samples are embedded in a swellable polymer gel to physically expand the sample and isotropically increase resolution in x, y and z. The maximum resolution…
Kamruzzaman Khan, M Ali Akbar
In this paper, we have been acquired the soliton solutions of the Variant Boussinesq equations. Primarily, we have used the enhanced (G′/G)-expansion method to find exact solutions of Variant Boussinesq equations. Then, we attain some exact solutions including soliton solutions, hyperbolic and trigonometric function…
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…
A. Abdurrahman
We show that an iterative method for computing the center of mass (CM) of q units of mass, placed on a unit interval [0, 1] along the xaxis, give rise to a simple procedure for expanding rational numbers less than unity in powers of r/s < 1, with r, s, integers larger than 0. The method is then extended to all numbers…
Yuan Xu, Kylie Chen, Dong Xie, Alexei J Drummond + 1 more
Bayesian phylodynamic models have become essential for reconstructing population history from genetic data, yet their accuracy depends crucially on choosing appropriate demographic models. To address uncertainty in model choice, we introduce a Bayesian model averaging (BMA) framework that integrates multiple parametric…
Kevin L. Cox, Sarah A. Pardi, Lily O’Connor, Anastasiya Klebanovych + 4 more
Expansion microscopy (ExM) achieves nanoscale imaging by physical expansion of fixed biological tissues embedded in a swellable hydrogel, enhancing the resolution of any optical microscope several-fold. While ExM is commonly used in animal cells and tissues, there are few plant specific protocols. Protoplasts are a…
Md Nur Alam, M Ali Akbar
The new approach of the generalized (G′/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G′/G)-expansion method is…
Arezoo Khatibi, Omid Khatibi
The double exponential formula was introduced for calculating definite integrals with singular point oscillation functions and Fourier-integrals. The double exponential transformation is not only useful for numerical computations but it is also used in different methods of Sinc theory. In this paper we use double…
Solomon F Duki, T P Doerr, Yi-Kuo Yu
A simple and easy to implement method for improving the convergence of a power series is presented. We observe that the most obvious or analytically convenient point about which to make a series expansion is not always the most computationally efficient. Series convergence can be dramatically improved by choosing the…
Wadhawan, Narinder Kumar
Purpose of writing this paper is to solve a transcendental function containing a product of a variable and its double exponential by a unique method of approximation. If the value of the said product is given, then its inverse function is approximated by use of linear expression in place of natural logarithm of a…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
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…
Magali S. Grison, Guillaume Maucort, Amandine Dumazel, Dorian Champelovier + 3 more
Expansion microscopy (ExM) has revolutionized biological imaging by physically enlarging samples, surpassing the light diffraction limit and enabling nanoscale visualization using standard microscopes. While extensively employed across a wide range of biological samples, its application to plant tissues is sparse. In…
Hugo G.J. Damstra, Josiah B. Passmore, Albert K. Serweta, Ioannis Koutlas + 4 more
Expansion microscopy (ExM) is a powerful technique to overcome the diffraction limit of light microscopy by physically expanding biological specimen in three dimensions. Nonetheless, using ExM for quantitative or diagnostic applications requires robust quality control methods to precisely determine expansion factors…
Mohammadreza Iman, John A. Miller, Khaled Rasheed, Robert Maribe Branch + 1 more
'Robert Maribe Branch' 'Hamid R. Arabnia'] Deep transfer learning (DTL) techniques try to tackle the limitations of deep learning, the dependency on extensive training data and the training costs, by reusing obtained knowledge from source data for target data. However, the current DTL techniques suffer from either…
Madeleine Leger, Jiangfeng Guo, Bryce MacMillan, Hatem Titi + 3 more
We present a new methodology for real-time observation of mechanochemical transformations, based on a magnetic resonance method in which T1-T2 relaxation time correlation maps are used to track the formation of the popular metal-organic framework (MOF) materials Zn-MOF-74 and ZIF-8. This two-dimensional (2D) relaxation…
Ewa Langner, Pongpratch Puapatanakul, Rachel Pudlowski, Dema Yaseen Alsabbagh + 7 more
Ultrastructure expansion microscopy (U-ExM) involves the physical magnification of specimens embedded in hydrogels, which allows for super-resolution imaging of subcellular structures using a conventional diffraction-limited microscope. Methods for expansion microscopy exist for several organisms, organs, and cell…
Po-Shen Loh
Various proofs for all of the mathematical facts in this article have been well-known for years. This exposition contributes a short, conceptual, intuitive, and visual proof (comprehensible to Pre-Calculus students) of the equivalence of two of the most commonly-known properties of e, connecting the…