about mathematics of the modern world, Assignments of Mathematical logic

Download about mathematics of the modern world and more Assignments Mathematical logic in PDF only on Docsity! Baron B. Marasigan BA2101 Technology “2021 Ask Media Group”, stated that digital processing is based on Boolean algebra, that is why it is indeed mathematical. A computer is also regarded as a calculator and a logic machine with various input and output mechanisms. Statistics are used for basic research, which fuels development of new technology. Math is indeed useful in technology, in a computer, its processors which powers the computer can also perform calculations quickly using Boolean algebra. Most of us generally solve math problems using the base-10 number system while Boolean algebra uses the base-2 math which all numbers are represented using ones and zeros. Computers can also use Boolean logic which is rooted in discrete mathematical principles that allows the computer to solve problems that require making logical decisions. When Boolean algebra and logic are combined, we can make incredible devices like self-moving cars, it can move on its own using input calculated from digital cameras to make decisions on how to navigate itself. Our modern technology depends on basic research to advance. Like the GPS devices that must know the speed of light to work, and this value is determined with math and experimentation using statistics. Advanced medical devices rely on studies supported by statistics. Even consumer devices, such as smart phones and tablet computers, are sold only when surveys and other forms of customer feedback, which rely on math, predict that they are profitable. Mathematics is useful when it comes to technology. Link: https://bit.ly/2YLl7OO Medicine/health Many of the technological advances were used by the physicians. One of the applications of mathematics in medicine is the use of probability and statistics in validating the effectiveness of new drugs, or procedures, or estimating the survival rate of cancer patients undergoing certain treatments. There are also important but less known applications of mathematics in medicine. The focus of this article is more on the role of mathematics in medical imaging in CT scans and MRI. CT scan, known as computed tomography scan. Medical imaging is about taking pictures and seeing inside of the human body without incisions or having to cut it to see what is inside. It is a digital image or a picture is a collection of points, called pixels and is usually denoted by two coordinates (x,y), and each pixel has light intensity, called gray level, ranging from white to black. A researcher named Cormack discovered that his research’s mathematical results were a special case of a more general result by the other researcher, in which the other researcher introduced an integral transform and its inverse and showed how one could construct a two- dimensional function f (x,y) from its line integrals. Even more, he showed how one can reconstruct an n-dimensional function from its integrals over hyper-planes of dimension n-1. That integral transform is now called the Radon transform. The transform and its inverse are the essence of the mathematical theory behind CT scans. MRI researchers wanted to speed up the scanning process of MRI. Even though they want to speed it up, they did not know how to do it. But mathematics of compressed sensing and high- dimensional geometry showed them how to do it. Recent advances in mathematics research have led to great improvements in the design of MRI scanners. In conclusion, mathematics plays a crucial role in the medicine field. With the help of mathematics there were machines that we can use for treating people and in medicine itself, we use probability to create medicines and other health related field.