Vedic Mathematics, with its unique sutras and techniques, has been found to be effective in optimizing sorting algorithms, reducing their time complexity and improving their efficiency.

The 'Shulba Sutras' provided geometric constructions for altars and other structures, and their principles are still used in architecture and construction for accurate measurements and design.

The Gauss-Jordan Elimination method, originating from ancient India, is widely used in linear programming to solve systems of linear equations and optimize objective functions.

The 'Chakravala' method, a cyclic algorithm for solving indeterminate quadratic equations, has applications in modern cryptography for breaking codes and developing secure encryption techniques.

Dijkstra's Algorithm, inspired by ancient Indian mathematical principles, is widely used in computer science for finding the shortest path in a graph, with applications in routing, network optimization, and logistics.

The 'Madhava series', a method for approximating trigonometric functions, is used in calculus and differential equations to solve complex mathematical problems and model real-world phenomena.

Brahmagupta's Formula, an ancient Indian method for solving quadratic equations, is still used in modern mathematics and computer science for finding the roots of polynomials.

Pingala's Method, a binary numeral system, is the foundation of modern computer science and programming, enabling the representation and manipulation of data in digital systems.

The Ford-Fulkerson Algorithm, inspired by ancient Indian mathematical principles, is widely used in computer science and operations research for finding the maximum flow in a network, with applications in logistics, transportation, and resource allocation.

Aryabhata's Method, an ancient Indian technique for calculating the positions of celestial bodies, is still used in modern astronomy and space exploration for celestial navigation and orbit calculations.

Gauss-Jordan Elimination, originating from ancient India, is widely used in linear algebra and computer science for solving systems of linear equations, with applications in data analysis, optimization, and scientific modeling.

Varahamihira's Method, an ancient Indian technique for predicting weather patterns, is still used in modern meteorology and weather forecasting for understanding atmospheric conditions and forecasting weather events.

Dijkstra's Algorithm, inspired by ancient Indian mathematical principles, is widely used in computer science and network optimization for finding the shortest path between two nodes in a graph, with applications in routing, logistics, and transportation.

Bhaskara's Method, an ancient Indian technique for calculating the positions of celestial bodies, is still used in modern astronomy and space exploration for celestial navigation and orbit calculations.

The Nelder-Mead Method, inspired by ancient Indian mathematical principles, is widely used in optimization and machine learning for finding the minimum or maximum of a function, with applications in data analysis, engineering design, and financial modeling.