The Rigveda, one of the four Vedas, contains hymns and verses that are believed to hold profound mathematical insights and principles.

The Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones, has been found in Indian architecture, art, music, and even in the rhythmic patterns of Sanskrit poetry.

Brahmagupta, a renowned Indian mathematician and astronomer, is widely recognized for introducing the concept of zero and its use in mathematical operations.

Indian mathematicians made significant contributions to trigonometry, including deriving trigonometric identities, developing sine and cosine functions, and establishing the concept of radians, which are still used in modern mathematics and AI.

The Chakravala method, an ancient Indian algorithm for solving indeterminate quadratic equations, exhibits striking similarities to the concept of neural networks in AI, involving iterative refinement and approximation.

Indian mathematics has influenced AI algorithms in various ways, including the development of optimization techniques, applications of number theory, and the incorporation of geometric and spatial reasoning.

The Baudhayana Sulba Sutra, an ancient Indian mathematical text, presents a systematic approach to solving linear equations, demonstrating the advanced mathematical knowledge of ancient India.

Indian mathematicians made significant contributions to probability theory, particularly in the development of the concept of permutations and combinations, which laid the foundation for modern probability and statistics.

Indian mathematical concepts such as Kolam patterns, Yantra diagrams, and Mandala art exhibit self-similarity and intricate patterns that are analogous to the idea of fractals in modern mathematics.

Indian mathematics has influenced AI in natural language processing through the development of Sanskrit-based NLP models, incorporation of Indian linguistic principles, and the integration of ancient Indian texts for language understanding.

The Nyaya philosophy, an ancient Indian school of thought, emphasizes the importance of logical reasoning and inference, which bears similarities to the concept of reinforcement learning in AI, where agents learn through trial and error.

Indian mathematics has contributed to computer vision in AI through the development of image processing algorithms, incorporation of geometric and spatial reasoning, and the utilization of ancient Indian art and patterns for object recognition.

Vedic astrology, an ancient Indian system of divination, involves the analysis of planetary positions and their influence on human life. This concept bears similarities to the idea of genetic algorithms in AI, where solutions are evolved through a process of selection and recombination.

Indian mathematics has influenced AI in robotics through the incorporation of Indian dance and movement principles, development of algorithms for path planning and navigation, and the utilization of ancient Indian texts for robot control.

Tarka philosophy, an ancient Indian school of thought, emphasizes the importance of logical reasoning and debate. This concept bears similarities to the idea of fuzzy logic in AI, where truth values are not binary but can be represented as a continuum of values.