- published: 20 Sep 2013
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A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.
Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. In general, mathematical models may include logical models. In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments. Lack of agreement between theoretical mathematical models and experimental measurements often leads to important advances as better theories are developed.
Alan Mathison Turing OBE FRS (/ˈtjʊərɪŋ/; 23 June 1912 – 7 June 1954) was a pioneering British computer scientist, mathematician, logician, cryptanalyst and theoretical biologist. He was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general purpose computer. Turing is widely considered to be the father of theoretical computer science and artificial intelligence.
During the Second World War, Turing worked for the Government Code and Cypher School (GC&CS) at Bletchley Park, Britain's codebreaking centre. For a time he led Hut 8, the section responsible for German naval cryptanalysis. He devised a number of techniques for breaking German ciphers, including improvements to the pre-war Polish bombe method and an electromechanical machine that could find settings for the Enigma machine. Turing played a pivotal role in cracking intercepted coded messages that enabled the Allies to defeat the Nazis in many crucial engagements, including the Battle of the Atlantic; it has been estimated that this work shortened the war in Europe by as many as two to four years.
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Mathematical modeling provides answers to real world questions like “Which recycling program is best for my city?” “How will a flu outbreak affect the US,” or “Which roller coaster is the most thrilling?” In math modeling, you’ll use math to represent, analyze, make predictions or otherwise provide insight into real world phenomena. This is the first episode in this new math modeling video series and introduces the modeling process, setting the stage for the next six videos which dive into the specific steps to modeling.
Finding a Mathematical Expression to Model a Situation - Basic Example. Here we find a simple expression to model a situation to find how long it would take to paint a fence.
All patterns in nature might be describable using this mathematical theory. How did Alan Turing influence how we see the natural world? Who Was Ada Lovelace, The World's First Computer Nerd? - http://bit.ly/290mnkb Sign Up For The Seeker Newsletter Here - http://bit.ly/1UO1PxI Read More: Alan Turing's Patterns In Nature, And Beyond http://www.wired.com/2011/02/turing-patterns/ "Once one starts to look, there seems to be no end to Turing patterns: their forms can be seen in weather systems, the distribution of vegetation across landscapes and even the constellations of galaxies." How The Zebra Got Its Stripes, With Alan Turing http://mosaicscience.com/story/how-zebra-got-its-stripes-alan-turing "In 1952 a mathematician published a set of equations that tried to explain the pa...
Hi, friends I had a project activity in my class and our subject was Maths Bargraph, so we had to to do a model project for that, I thought of sharing this project video for you.If this has helped do comment below so that we shall know, do like and share it with your friends. Do subscribe to our channel - www.youtube.com/channel/UCv6qDafgoQDHZYFmDfQKISQ
UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014) Lec 15. Intro to Mathematical Modeling in Biology: SIR Model View the complete course: http://ocw.uci.edu/courses/math_113b_intro_to_mathematical_modeling_in_biology.html Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 113B is intended for both mathematics and biology undergrads with a basic mathematics background, and it consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the ...
Process Control and Instrumentation by Prof.A.K.Jana,prof.D.Sarkar Department of Chemical Engineering,IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Math comes in handy for answering questions about a variety of topics, from calculating the cost-effectiveness of fuel sources and determining the best regions to build high-speed rail to predicting the spread of disease and assessing roller coasters on the basis of their "thrill" factor. How does math do all that? That is the topic of this free handbook published by the Society for Industrial and Applied Mathematics (SIAM): "Math Modeling: Getting Started and Getting Solutions." PDFs of the book are available for free download at http://m3challenge.siam.org/about/mm/. Print copies are available upon request for $15 per copy to cover the cost of printing and mailing. Please contact SIAM Customer Service at +1-215-382-9800 or toll-free 800-447-SIAM (US and Canada) to order a print copy...
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 This is the first video of a two-part episode. Model the physical systems of your racecar and learn about the variety of modeling methods that fit your needs. This is the first video of a two-part episode. Sebastian Castro and Christoph Hahn, of MathWorks, introduce a variety of modeling approaches and demonstrate them in Simulink®. Sebastian describes the differences between plant models and algorithmic models and how to decide which model is best for your situation. Plant models are a virtual prototype of a real physical system that you are trying to model, whereas an algorithmic model is where you can test your algorithms on your simulation. With Simulink you can combi...