Applications of Mathematics in Real Life

Applications of Mathematics in Real LifeApplications of Mathematics in Real Life Situations1.0 Application of MatricesMatrix concepts can be apply in various works such asQuantum Mechanics3D GamesAnimationsCryptography and Others.We shall analyze the last one which is encryption in further details.Encryption is indeed an important measure of security when there are transactions of selective information between parties.Firstly, we shall make employ of the AB = X and B = A-1X concept, where the ground substance A is the Encoder and the inverse of A is the Decoder.As messages are mainly sent in earn, we overhear a go by a relationship between letters from the message and total in our matrix.For our example we will take the following relationship.ABCDEFGHIJKLMN23456789101112131415OPQRSTUVWXYZSpace161718192021222324252610Now lets encode our message which is BAD.Referring to our relationship carry over, it becomes 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) using 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 w so we can allocate a 0 for itThe coding matrix as well as the number letter relationship is independent that is for some some other encryption A can be 3 while B is 4 and so on. purpose Matrices do play a major procedure in not only Encryption of Messages to avoid misuse of entropy, but in other fields mentioned above as well.2.0 Application of StatisticsWe live in the Information Age is a common sayin g in todays world. It is a true fact as in our era as we make use of information in every field to be able to get an idea of what is actually happening and what we can do to not only to reduce problems of the past but devise ways and techniques for much proper less time consuming, less complicated, less costly and more safe processes to declare outputStatistics are the ways we can achieve the above by manipulating the data in their bear ways to obtain a set of conclusions which will help us take many crucial decisions.We can also agree to the fact that indeed statistics are being used in many vast and important fields which will be illustrated belowWeather Forecast/Emergencies PrecautionsWe make use of statistics to a very great end in weather forecasting. This is so as almost every forecasting is establish on data and information gathered from previous ones and in auxiliary with other related data.For example In reference to the amount of rainfall or cyclones obtained from prev ious twelvemonths, we can have a close overview for the current year and therefore take necessary precautionsMedical Studies/Prediction of Diseases/GeneticsStatistics have a huge role in medical fields nowadays. By referring to data and information on other past patients, we can learn more and extract new remedies and treatment 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 expected children hence can prevent the possible problems accordingly.For example Using information recorded from past patients suffering from a finicky disease in a particular season, expected patients with the same disease can be protected using vaccinations well before.PoliticsTo achieve a well organized political body structure for the countrys well being, the potential people needs 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 Market/Quality Testing umteen wholesalers, retailers and even small scaled businessmen nowadays do remark tracks of both their purchases and sales which constantly being referred to be able to extract many important conclusions for better decision making and productivity.For example If a authentic 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 blessing here also as it gives us feedback and predictions for the future.Companies too use statistics to test whether their products are as per their customers wants and needs. To do so, they make use of product batches and hence 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 merely predictions hence we cannot rely completely on statistics. However, they pass on us to have better overviews of what is expected and hence we prepare accordingly to eliminate errors and mistakes.3.0 Application of relapsing and correlation coefficient retroflection and Correlation is used with sets of data, most commonly 2 sets of data to conclude active one main point, the relationship between the data.Regression deals mainly with the graphs of surmount fits for the data to be able to obtain the Correlation between them.ExampleThe Correlation Positive Linear CorrelationThe study also includes the Correlation degree or measure namely the Pearson Product Moment Correlation Coefficient, which lies between -1 and 1.Regression and Correlation is used in everyday life in various situations namelyIn BusinessesFirstly, to compare the previous sale figures such as to have better understandings for future sales.Moreover, companies are able to see how the varied prices on comm odities have an effect on sales and clients requirements.Also, also the regression 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 existing functionality of the application and works within the requirements of the system.Therefore, it is a much easier and quicker way to attend 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 non-disease group was assumed.In pregnancy cases, the IQ of the unborn child is mainly based on predictions from regressions.Hence it is clear that r egression played an important part in medical fields.In Education / Candidates 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 sweet 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 Available from http//www.austincc.edu/lrosen/1314/webact2/webact2.htm Accessed twenty-sixth 29th November 2014.Maths Worksheet Center Online Available from http//www.mathworksheetscenter.com/mathtips/statsareimportant.html Accessed 30th November 3rd December 2014What Are So me Ways Linear Regression Can Be employ 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 Numerical Methods For Bioscience Students Online Available from http//web.anglia.ac.uk/numbers/graphsCharts.html Accessed 7th December 2014Testing Basic 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 2014Paul I. M. Schmitz. (1970-1986) Developments In logistic Regression Methodology. 1.p.2.1 Online Available from file///C/Users/User/Downloads/860423_SCHMITZ,% 20Paulus%20Ignatius%20Maria.pdf Accessed 7th December 2014