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BENSALEM Mohamed Abderrahmane·Nov 22, 2024Why the Straight Line is the Shortest Path: A Variational PerspectiveImagine connecting two points on a flat surface. Visually, it feels obvious that the shortest route between them is a straight line. This…
Ahmet Arduc·Jul 17, 2024The Brachistochrone Problem: A Marvel of Classical MechanicsThe Brachistochrone Problem is one of the most celebrated problems in the history of mathematics and physics. It embodies the elegance of…
InCantor’s ParadisebyDimitrios Koulialias PhD·May 6, 2024On the elegantly optimal behavior of nature: Hamilton’s Principle of Least ActionIntroductionA response icon5A response icon5
InCoinmonksbyUri Itai·Apr 15, 2024Ant Trail with Minimal EnergyHave you observed that ant trails often appear as straight lines? It might seem surprising, but it’s indeed the case. The intriguing…
Nawaf Al Balushi·Oct 24, 2022An Introduction to the Calculus of Variations and the Principle of Stationary ActionIn 1687, Newton published his Principia Mathematica, revealing his three laws of motion along with his development of calculus. After that…A response icon1A response icon1
Joshua Siktar·May 17, 2021First and Second VariationsIntroduction to Calculus of Variations and the notions of First and Second Variation
Naoki·Oct 18, 2020Calculus of Variations DemystifiedHow to derive the Euler-Lagrange equationA response icon2A response icon2
Pakhapoom Sarapat·Jun 8, 2018คณิตศาสตร์สำหรับการหาระยะทางที่สั้นที่สุดไม่รู้ว่าใครเป็นเหมือนกันมั้ยเวลาไปไหนมาไหนก็มักจะเลือกใช้เส้นทางที่สั้นที่สุดเพื่อให้ไปถึงที่หมายไวที่สุด…A response icon1A response icon1