### Abstract

In fact, mathematics is applied everywhere. Literally, mathematics prevents chaos to make our life hassle free. It is fair to say that inheritance of mathematics inculcates qualities in human being that nurtures the power of reasoning, critical, creative and innovative thinking. It is the mathematics, which provides abstraction, spatial understanding and modeling of complex problems to find and analyze the solutions. Further, communication becomes better and powerful due the applications of mathematics.Human being is not only the creature, which applies mathematics. There are countless examples around us like formation of various mathematical patterns in nature’s fabrication. Birds flying patterns, animals’ movements, and formation of roots, trunks, twigs and leaves of trees has their well-established mathematical relationships. Snails make their shells, spiders design their webs, and bees build hexagonal combs are a few to strengthen our belief that even insects use mathematics in their everyday life for existence. In our day-to-day life whatever role we play be it a cook or a farmer, a carpenter or a mechanic, a shopkeeper or a doctor, an engineer or a scientist, a musician or a magician, every one of us needs mathematics. Hence, it is quite impossible to summarize the applications of mathematics even in a single field. Through this paper, it is intended to talk about the applications of mod theory in our ever day life. How mathematics is used in the fault tolerant systems to avoid hazards, accidents in industries by checking and correcting the errors. How mathematics helps in building reliable and dependable industrial systems. Some of the examples of such systems, which we use every day, will be demonstrated during the presentation.

Original language | English |
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Publication status | Published - Apr 9 2019 |