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Digital twins in manufacturing

Digital Twins in Manufacturing: Revolutionizing the Future of Production In today’s era of Industry 4.0, digital twins are reshaping the way manufacturing systems are designed, monitored, and optimized. A digital twin is a virtual replica of a physical system, process, or product, updated in real-time with data from sensors and IoT devices. By mirroring the real world in a digital environment, manufacturers gain valuable insights to improve efficiency, reduce costs, and drive innovation. What is a Digital Twin? A digital twin is more than just a 3D model or simulation. It integrates real-time data, artificial intelligence (AI), machine learning, and advanced analytics to simulate behavior, predict outcomes, and optimize operations. In manufacturing, digital twins can represent machines, production lines, supply chains, or even entire factories. Applications in Manufacturing Product Design and Development Engineers can test virtual prototypes before building physical ones, reducing des...

OPERATIONS ON NUMBERS

              OPERATION OF NUMBERS 1.NUMBERS :            We have ten digits, namely 0,1,2,3,4,5,6,7,8,9. A number is denoted by a group of digits, called numeral. A numeral can be written in words by Units, Tens, Hundreds, Thousands, Ten-thousands, Lakhs, Ten-lakhs, Crores, Ten-Crores. Eg: 581406099, can be written as fifty eight crores fourteen lakhs six thousand and ninety nine. 2. Face value and Place value of a Digit in Numeral: Ex: 8421, the face value of 8 is 8, the face value of 4 is 4, the face value of 2 is 2, and the face value of 1 is 1. Place value of 8 is (8*1000) Place value of 4 is ( 4*100) Place value of 2 is (2*10) Place value of 1 is (1*1) 3 . Types of Numbers : *Natural Numbers: Counting numbers are called natural numbers (1,2,3,4,5,6,7,8,9...) *Whole Numbers : Counting numbers and zero is a whole number (0,1,2,3,4,5,6,...) *Integers : All counting numbers, zero and negative of counting numbers togeth...

Mathematics

MATHEMATICS           Mathematics is the science that deals with shapes, quantities and arrangements. Archmedes is known as the father of Mathematics (287BC-212BC). Mathematics seek and use patterns to formulates new conjuctures.They resove truth or false by using mathematical proof. Mathematics developed by counting, calculation, Measurements, Shapes and motion of physical objects.  Definition Mathematics has no general accepted definition. Until 18th century Aristotle defined mathematics as "the science of quantity". Many mathematicans take no interest in definition they simply say "Mathematics is what Mathematican do". Three leading definition of mathematics today are logicist, intutionist, and formalist. Logicist - In terms of Benjamin peirce, the definition of mathematics in terms of logic are "the science that draws necessary conclusion" and also said that " All mathematics is symbolic logic" by Mathematician Rusell. Intutionist - L.E.J.Bro...