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A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...

1 Actuarial Science Master Study Program, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Bandung, Indonesia 2 Industrial and Financial Mathematics Research Group, Faculty of ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

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Rectified flows for image inversion and editing. Our approach efficiently inverts reference style images in (a) and (b) without requiring text descriptions of the images and applies desired edits ...

Abstract: Many engineering problems are described using differential equations. The work presents the use of certain bio-inspired heuristic algorithms for solving ordinary differential equations, the ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...