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Keywords = Salah ad-Din

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20 pages, 1959 KiB  
Article
Richard the Lionheart and the Ferocious Saladin Face to Face in Arsuf: A Proteomic Study
by Gleb Zilberstein, Svetlana Zilberstein and Pier Giorgio Righetti
Heritage 2021, 4(4), 3382-3401; https://doi.org/10.3390/heritage4040188 - 14 Oct 2021
Cited by 3 | Viewed by 6179
Abstract
On 7 September 1191, a fierce battle took place in Arsuf (Palestine) between the Crusaders (marching south towards Jerusalem) led by King Richard the Lionheart and the Ayyubid army commanded by the sultan Saladin. The confrontation lasted for most of the day [...] Read more.
On 7 September 1191, a fierce battle took place in Arsuf (Palestine) between the Crusaders (marching south towards Jerusalem) led by King Richard the Lionheart and the Ayyubid army commanded by the sultan Saladin. The confrontation lasted for most of the day and terminated with a victory of the Crusaders, proving Richard’s courage as a soldier and his skill as a commander while denting Saladin’s reputation as an invincible warrior. The site (today known as Apollonia) holds the ruins of a Crusader castle perched on a cliff over the sea. We recovered plenty of pottery shards among which we could distinguish those of the Crusaders from those of the Ayyubid army. Extraction of food remnants confirmed that the Crusaders’ diet consisted mostly of pig and sheep meat (together with cheese), with a minimum of carbohydrates (what today would be termed a “ketogenic” diet), whereas the Muslim army consumed mostly carbohydrates (wheat, Triticum durum, Hordeum vulgare), together with fruits and vegetables, with minimal levels of sheep meat and cheese. As a result, the Crusaders’ diet had a positive effect on their slenderness and “cardio”. This might have been why the Ayyubid army lost ca. 10 times more soldiers in Arsuf. Shrewdness of leaders and soldiers’ equipment and willingness to fight are, of course, the main ingredients of victory, but diet too might not have a secondary role and help to tip the balance. Full article
(This article belongs to the Section Cultural Heritage)
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30 pages, 1230 KiB  
Article
Explicit Integrator of Runge-Kutta Type for Direct Solution of u(4) = f(x, u, u′, u″)
by Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail and Zarina Bibi Ibrahim
Symmetry 2019, 11(2), 246; https://doi.org/10.3390/sym11020246 - 16 Feb 2019
Cited by 8 | Viewed by 3501
Abstract
The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure [...] Read more.
The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure u ( 4 ) = f ( x , u , u , u ) and denoted as RKTF method. We presented the associated B-series and quad-colored tree theory with the aim of deriving the prerequisites of the said order. Depending on the order conditions, the method with algebraic order four with a three-stage and order five with a four-stage denoted as RKTF4 and RKTF5 are discussed, respectively. Numerical outcomes are offered to interpret the accuracy and efficacy of the new techniques via comparisons with various currently available RK techniques after converting the problems into a system of first-order ODE systems. Application of the new methods in real-life problems in ship dynamics is discussed. Full article
(This article belongs to the Special Issue Numerical Analysis or Numerical Method in Symmetry)
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