Results 111 to 120 of about 528,533 (276)

Numerical simulations of the spread from the mean of the SLE and multiple SLE dynamics

open access: yesResearch in Statistics
The Schramm-Loewner Evolution (SLE) describes a family of fractal curves that arise in the study of the scaling limits of many planar Statistical Physics models.
Phillip Kim, Vlad Margarint
doaj   +1 more source

Justifying Euler's formula through motion in a plane

open access: yes, 2018
© 2018 The Author(s). In this paper we consider motion of an object in a plane to provide a mechanical interpretation of Euler's formula. We believe that this approach contributes to a deeper and more intuitive understanding of Euler's formula and can ...
Radović, Slaviša   +3 more
core  

Digging Deep: Dynamic Programming for Optimal Routing With Double‐Deep Autonomous Mobile Robot Picking

open access: yesNetworks, EarlyView.
ABSTRACT Multi‐tote autonomous mobile robots (MT‐AMRs) are an emerging warehousing technology in which a mobile drive unit carries a lift‐based storage‐and‐retrieval mechanism with an extendable fork and a multi‐tote onboard buffer. On autonomous picking tours, an MT‐AMR visits storage locations, extracts product totes from racks, stores them in its ...
Nils Boysen, Fabian Hennig, Tobias Kroll
wiley   +1 more source

The k-Beta Logarithmic Function: Theory, Fractional Derivative, and Spectral Numerical Method

open access: yesMathematics
A new generalization of the Logarithmic mean function and Euler’s Beta k-Logarithm function is proposed using the Mittag–Leffler k-function. We study their analytical properties, including functional relations, symmetry relation, inequalities, summation ...
Karima M. Oraby   +3 more
doaj   +1 more source

Dr. Euler's fabulous formula: Cures many mathematical ills

open access: yes, 2006
I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineer In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so ...
Nahin, Paul J
core  

Advertisements of follow-on formula and their perception by pregnant women and mothers in Italy

open access: yes, 2015
Objective To assess how follow-on formula milks for infants aged 6–12 months are presented to and understood by mothers. Design A quantitative and qualitative cross-sectional study including (1) an analysis of advertisements in three magazines for ...
Mutti, Valentina   +6 more
core   +1 more source

Solids Conveying in Injection Molding Machines—Analytical Model for Smooth and Grooved Feed Sections Derived From DEM Simulations

open access: yesPolymer Engineering &Science, EarlyView.
Understanding Solids Conveying in Injection Molding Machines – Dimensions. ABSTRACT Solids conveying is a key aspect for the design of polymer processing machines, especially for processes with high screw speeds, grooved feed sections, and material with low bulk density.
Jan Landgraeber   +4 more
wiley   +1 more source

Machine Learning for Thermodynamic States of Notional Nonideal Energetic Mixtures

open access: yesPropellants, Explosives, Pyrotechnics, EarlyView.
. ABSTRACT Currently, modeling the thermodynamic states in the reaction zone of a detonating energetic mixture entails iteratively solving a set of coupled differential equations that require detailed material property information or models whose empirical parameters must be physically measured.
Sangeeth Balakrishnan   +7 more
wiley   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida   +3 more
wiley   +1 more source

Exploring Extended Degenerate Bell-Based Appell Polynomials via Fractional Operators: Properties, Determinant Representations, and Numerical Illustrations

open access: yesMathematics
This paper introduces a new family of extended degenerate Bell-based Appell polynomials by applying Euler’s integral as a fractional operator to the Appell-type degenerate Bell polynomials.
Mohra Zayed   +4 more
doaj   +1 more source

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