Applications of Mathematics in Real Life

diligences of Mathematics in palpable LifeApplications of Mathematics in Real Life Situations1.0 Application of MatricesMatrix concepts dopeister be applied in various fields such asQuantum Mechanics3D GamesAnimations cryptograph and Others.We shall analyze the last one which is encryption in further details.Encryption is indeed an important measure of security when there atomic number 18 transactions of selective information between parties.Firstly, we shall make pulmonary tuberculosis of the AB = X and B = A-1X concept, where the matrix A is the Encoder and the inverse of A is the Decoder.As hearts are chiefly sent in letters, we have a set a kin between letters from the message and numbers in our matrix.For our example we result take the following relationship.ABCDEFGHIJKLMN23456789101112131415OPQRSTUVWXYZ seat161718192021222324252610 promptly lets encode our message which is BAD.Referring to our relationship table, it be suffers 3, 2, 5.We decide for a coding matrix A, which can be 5 2 46 1 02 7 2As it is a 3*3 matrix, we can encode 3 numbers at a time.Encrypting the first 3 numbers, 10, 0, 13 (Matrix B) utilise matrix multiplications5 2 4 3 396 1 0 2 = 202 7 2 5 3039, 20, 30 becomes the Encrypted Message which should be decoded now using inverse of matrix A.Inverse of A = 1/73 12/73 -2/73 39 3-6/73 1/73 12/73 20 = 220/73 -31/146 -7/146 30 5Decoding the message gives us back 3, 2, 5 which can be referred back to the relationship table to get the message sent.Note For this exampleWe need to have a matrix A which does have an inverse, we need to cater for the blank space hence we can allocate a 0 for itThe coding matrix as considerably as the number letter relationship is independent that is for some separate encryption A can be 3 while B is 4 and so on. result Matrices do play a major(ip) role in not only Encryption of Messages to avoid step of info, simply in some other fields mentioned above as well.2.0 Application of StatisticsWe live in the Information Age is a common verbalize in todays world. It is a true fact as in our era as we make use of information in all(prenominal) field to be able to get an idea of what is rattling happening and what we can do to not only to reduce problems of the prehistorical but devise right smarts and techniques for much proper less time consuming, less complicated, less costly and more beneficial processes to obtain returnStatistics are the ways we can achieve the above by manipulating the data in their own ways to obtain a set of conclusions which leave behind help us take many polar findings.We can in like manner agree to the fact that indeed statistics are organism used in many vast and important fields which will be illustrated down the stairsWeather Forecast/Emergencies PrecautionsWe make use of statistics to a very corking extent in weather forecasting. This is so as almost every forecasting is based on data and information gathered from precedent ones and in a ddition with other related data.For example In case to the amount of rainfall or cyclones obtained from previous years, we can have a close overview for the current year and hence take necessary precautions checkup Studies/Prediction of Diseases/GeneticsStatistics have a huge role in medical fields nowadays. By referring to data and information on other by patients, we can learn more and extract new remedies and preaching not only to make the medical field prospect but help needy peoples.Also, using genetic data, some parents might come to know well before the coming problems with their expect children hence can prevent the possible problems accordingly.For example Using information recorded from past patients suffering from a particular proposition disease in a particular season, expected patients with the same disease can be protected using vaccinations well before.PoliticsTo achieve a well organized semipolitical structure for the countrys well being, the potential people ca ll for to be elected and based on their contribution, their work and their reputation on previous data, the obtain their chances to be candidates in next elections.Consumer Goods/Stock merchandise/Quality TestingMany wholesalers, retailers and even small scaled businessmen nowadays do keep tracks of both their purchases and gross sales which constantly being referred to be able to extract many important conclusions for better stopping point making and productivity.For example If a certain commoditys sales rises during a particular festive season, the businessman will know from statistics that he should have the item in stock for his own profit.In addition, it is crucial acknowledge what is happening in the economy of the country, hence statistics is a favor here also as it gives us feedback and predictions for the incoming.Companies too use statistics to shield whether their products are as per their customers wants and needs. To do so, they make use of product batches and he nce it is time consuming for them to check for all the products.Conclusion In the light of the above, we have seen that statistics are me bank predictions hence we cannot rely completely on statistics. However, they allow us to have better overviews of what is expected and hence we prepare accordingly to rid of errors and mistakes.3.0 Application of retroversion and correlation coefficient relapsing and correlational statistics is used with sets of data, most commonly 2 sets of data to conclude about one main point, the relationship between the data.Regression deals mainly with the graphs of best fits for the data to be able to obtain the Correlation between them.ExampleThe Correlation Positive Linear CorrelationThe subscribe also includes the Correlation degree or measure namely the Pearson harvest-home Moment Correlation Coefficient, which lies between -1 and 1.Regression and Correlation is used in everyday life in various situations namelyIn BusinessesFirstly, to equivalenc e the previous sale figures such as to have better understandings for time to come sales.Moreover, companies are able to see how the varied prices on commodities have an marrow on sales and clients requirements.Also, also the regress predictions will allow the companies to eliminate future problems and risk hence obtaining better business models with proper decision makings.In Regression TestingAs defined by the Internet, Regression Testing is to verify that modified code does not break the alert functionality of the application and works within the requirements of the system.Therefore, it is a much easier and quicker way to find mistakes in systems to be able to implement new designed and modified ones.In Medical FieldsAccording to Paul I. M. Schmitz (1970-1986), in the biomedical field, data in binary form such as disease/no disease or survival/death are very common. In these applications a multivariate normal distribution for the x-variables in both the disease group and the n on-disease group was assumed.In pregnancy cases, the IQ of the unborn child is mainly based on predictions from regressions.Hence it is abstemious that regression played an important part in medical fields.In Education / poopdidates Selection / World WarMany institutions such as Harvard use regression models to be able to select the students that are eligible. Students also turn to counselors which uses the same techniques to predict the best school for the latter.For selecting best candidates for employment, companies do make use of regression methods. In the same way, during world wars, regression made it simple to pick the most capable soldiers to increase their gentle chances.Conclusion Like Statistics, Regression is of great importance when it comes to have predictions for the future to be able to make better decisions.4.0 ReferencesMatrix Encryption Online open from http//www.austincc.edu/lrosen/1314/webact2/webact2.htm Accessed 26th 29th November 2014.Maths Worksheet Cen ter Online Available from http//www.mathworksheetscenter.com/mathtips/statsareimportant.html Accessed 30th November third December 2014What Are Some Ways Linear Regression Can Be Applied in Business Settings? Online Available from http//smallbusiness.chron.com/ways-linear-regression-can-applied-business-settings-35431.html Accessed 26th 05th November 2014.Pearsons Product Moment Correlation Coefficient Online Available from http//en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Accessed 5th November 2014.Numbers numeral Methods For Bioscience Students Online Available from http//web.anglia.ac.uk/numbers/graphsCharts.html Accessed seventh December 2014Testing fundamental Interview Questions Online Available from http//testingbasicinterviewquestions.blogspot.com/2012/01/what-is-regression-testing-explain-it.html Accessed 7th December 2014Regression Models Online Available from http//www.psychstat.missouristate.edu/introbook/sbk16m.htm Accessed 7th December 2014 Paul I. M. Schmitz. (1970-1986) Developments In Logistic Regression Methodology. 1.p.2.1 Online Available from send///C/Users/User/Downloads/860423_SCHMITZ,%20Paulus%20Ignatius%20Maria.pdf Accessed 7th December 2014