Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability Presentation – Complete video for teachers and learners on Binomial Theorem. GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability Presentation – Complete video for teachers and learners on Binomial Theorem. GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

 Do you know? Polynomials have relevance to nearly all the sciences. Astrophysicists use them to calculate a star’s velocity and distance from another object in space. Likewise, they are important in determining pressure in applications of fluid dynamics.  Nursing, psychiatric and home-health aides use polynomials to determine schedules and keep records of patient progress.  Cost, Revenue, and Profit Polynomials.  Write a profit polynomial given revenue and cost polynomials. Find profit for given quantities produced.  * Presentation – Complete video for teachers and learners on Factors and Polynomials.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Factors and Polynomials  * Learner will be able to say authoritatively that I can:  Complete any polynomial question involving factor theorem.  Complete any polynomial question involving cubic expressions and equations.  Complete any polynomial question involving the remainder theorem.  Complete any polynomial question involving the four basic operators (+, -, /, ×).  I can apply polynomials functions to real life situations.

 Do you know? Polynomials have relevance to nearly all the sciences. Astrophysicists use them to calculate a star’s velocity and distance from another object in space. Likewise, they are important in determining pressure in applications of fluid dynamics.  Nursing, psychiatric and home-health aides use polynomials to determine schedules and keep records of patient progress.  Cost, Revenue, and Profit Polynomials.  Write a profit polynomial given revenue and cost polynomials. Find profit for given quantities produced.  * Presentation – Complete video for teachers and learners on Factors and Polynomials.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Factors and Polynomials  * Learner will be able to say authoritatively that I can:  Complete any polynomial question involving factor theorem.  Complete any polynomial question involving cubic expressions and equations.  Complete any polynomial question involving the remainder theorem.  Complete any polynomial question involving the four basic operators (+, -, /, ×).  I can apply polynomials functions to real life situations.

 Do you know? A traditional industrial application of Circular Measure includes robots with limited mobility. Architects often use the circle’s symmetrical properties when designing athletic tracks, recreational parks, buildings, roundabouts, Ferris-wheels, etc. Artists and painters find the circle almost indispensable in their work. Circular cylinders are used to print newspapers. Engineers exploit the circle’s symmetrical properties as seen by the use of the circle in making watches, clocks, bicycles, cars, trains, ships, airplanes, radios, telephones, trolleys, wheel-barrows, air-conditioners, rockets etc. Civilization has progressed dramatically because of the invention of the circular wheel…  * Presentation – Complete video for teachers and learners on Circular Measure.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Circular Measure Questions  * Learner will be able to say authoritatively that I can complete:  Any circular measure question.  Any circular measure question involving length of an arc, length of chord and other circle properties.  Any circular measure question involving area, perimeter and other derived quantities.

 Do you know? A traditional industrial application of Circular Measure includes robots with limited mobility. Architects often use the circle’s symmetrical properties when designing athletic tracks, recreational parks, buildings, roundabouts, Ferris-wheels, etc. Artists and painters find the circle almost indispensable in their work. Circular cylinders are used to print newspapers. Engineers exploit the circle’s symmetrical properties as seen by the use of the circle in making watches, clocks, bicycles, cars, trains, ships, airplanes, radios, telephones, trolleys, wheel-barrows, air-conditioners, rockets etc. Civilization has progressed dramatically because of the invention of the circular wheel…  * Presentation – Complete video for teachers and learners on Circular Measure.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Circular Measure Question  * Learner will be able to say authoritatively that I can complete:  Any circular measure question.  Any circular measure question involving length of an arc, length of chord and other circle properties.  Any circular measure question involving area, perimeter and other derived quantities.

Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other Physics Engines, Signal & Image Processing, Computer Vision, Information Theory In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and anti-derivative.  * Presentation – Complete video for teachers and learners on Integration by Part  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any Exam Style Integration by Part Questions  * Learner will be able to say authoritatively that:  I can complete any given problem on Integration by part: ranging from ‘O’-Level questions to the PhD level using the LIATE-principle.  LIATE is a guide to help you decide which term to differentiate and which term to integrate. L = Log, I = Inverse Trig, A = Algebraic, T = Trigonometric, E = Exponential. The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated.  I can apply my knowledge of calculus to any given function

 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Circle Theorems Questions  * Learner will be able to say authoritatively that:  I can solve any circle theorems questions involving all the 7 Theorems:  Circle Theorem 1 - Angle at the Centre.  Circle Theorem 2 - Angles in a Semicircle.  Circle Theorem 3 - Angles in the Same Segment.  Circle Theorem 4 - Cyclic Quadrilateral.  Circle Theorem 5 - Radius to a Tangent.  Circle Theorem 6 - Tangents from a Point to a Circle.  Circle Theorem 7 - Tangents from a Point to a Circle II.  I can apply all the circle theorems concepts in all fields of studies: Architects often use the circle’s symmetrical properties when designing athletic tracks, recreational parks, buildings, roundabouts, Ferris-wheels, etc. Artists and painters find the circle almost indispensable in their work.

This research work deals with the procedures for computing the presence of outliers using various distance measures and general detection performance for unsupervised machine learning, such as the K-Mean Clustering Analysis and Principal Component Analysis. A comprehensive evaluation of Data Mining Technique, Machine Learning and Predictive modeling for Unsupervised Anomaly Detection Algorithms on Electronic banking transaction dataset record for over a period of six (6) months, April to September, 2015 consisting of 9 variable data fields and 8,641 observations was used to carry out the survey on fraud detection. On completion of the underlying system, I can conclude that integrated techniques systems provide better performance efficiency than a singular system. Besides, in near real-time settings, if a faster computation is required for larger data sets, just like the unlabeled data set used for this research work, clustering based method is preferred to classification model.

Creating and Simulating a Binomial Distribution Density Function and Distribution Graph Model using Excel Package Teaching and learning and many opportunities for its application have yet to be explored. Spreadsheet software is one of the most-used technologies for collecting, computing, and displaying data. Spreadsheets contain a rectangular array of cells in rows and columns that can hold data. Users can create business models, graphs and charts, and reports for financial, statistical, or other data. Most spreadsheet software allows a user to access real-time data from Web sites and to collaborate across teams and workgroups. Suppose an experiment has the following characteristics:  the experiment consists of n independent trials, each with two mutually exclusive outcomes (success and failure)  for each trial the probability of success is p (and so the probability of failure is 1 – p) Each such trial is called a Bernoulli trial. Let x be the discrete random variable whose value is the number of successes in n trials. Then the probability distribution function for x is called the binomial distribution, B(n, p), and is defined as follows: Where, C(n, x) = and n! = n(n–1)(n–2)⋯3∙2∙1 as described in Combinatorial Functions. This Binomial Distribution Simulation Model is prepared by Aluko Sayo Enoch, as an opportunity to share my love for learning with an entire generation of thinkers and leaders; providing entrepreneurial platform via ICT based on the contemporary Technology Procedure: You can vary the value of p to generate new q, probability density function and equivalent distribution graph. For more info or comment, log on: https://alukosayoenoch.wixsite.com/selfcoding/blog www.unilag.academia.edu/SayoAluko/Papers https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/feed/my_videos

Do you know that, probability application areas includes: modeling of text and Web data, network traffic modeling, probabilistic analysis of algorithms and graphs, reliability modeling, simulation algorithms, data mining, and speech recognition More so, Probability means the mathematical chance that something might happen and this is used in numerous day- to-day applications, which includes: weather forecasts, Sports Strategies, Insurance Options, Games and Recreational Activities, Making Business. Tree diagrams are a way of showing combinations of two or more events. Each branch is labelled at the end with its outcome and the probability is written alongside the line. Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Tree Diagrams Questions  * Learner will be able to say authoritatively that, I can complete any question on: Listing All Outcomes. Expected Probability. The AND / OR Rule. Tree Diagrams. Probability from Venn Diagrams.

Do you know? You can liken algebra to an all-purpose tool or a magic wand that can help deal with everyday problems of life. Algebra can help you to measure your living room dimensions and determine the size of an electronic item like TV or refrigerator that’ll fit comfortably in the space. For examples, social inequality include income gap, gender inequality, health care, social class, Wages, Homelessness, Occupational Sex Segregation, and Racial Gaps in Education, Racial Discrimination, Child Poverty, Residential Segregation, and Health Insurance. Presentation – Complete video for teachers and learners on how to complete Quadratic, Inequality, Absolute Graphs and Functions IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Quadratic, Inequality, Absolute Graphs and Functions Topic based Questions Learner will be able to say authoritatively that: I can determine the roots of quadratic and modulus functions from its standard form I can graph quadratic functions in standard form I can graph quadratic functions in vertex form (using basic transformations). I can identify key characteristics on how to determine the nature of any given modulus inequalities and quadratic functions.

Do you know? You can liken algebra to an all-purpose tool or a magic wand that can help deal with everyday problems of life. Algebra can help you to measure your living room dimensions and determine the size of an electronic item like TV or refrigerator that’ll fit comfortably in the space. For examples, social inequality include income gap, gender inequality, health care, social class, Wages, Homelessness, Occupational Sex Segregation, and Racial Gaps in Education, Racial Discrimination, Child Poverty, Residential Segregation, and Health Insurance. Presentation – Complete video for teachers and learners on how to complete Quadratic, Inequality and Absolute Graph Functions. IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Quadratic, Inequality and Absolute Graph Functions Topic based Questions Learner will be able to say authoritatively that: I can determine the roots of quadratic and modulus functions from its standard form I can graph quadratic functions in standard form I can graph quadratic functions in vertex form (using basic transformations). I can identify key characteristics on how to determine the nature of any given modulus inequalities and quadratic functions.

Do you know? Initially the calculus of physics engines in video games was delegated to detecting collisions between in-game objects (such as player characters, rocks, and dust particles) and enacting appropriate responses. Similarly, Calculus is another important part of programming. Calculus problems show up practically all the time in machine learning. In any machine learning problem, the ultimate goal is to optimize the cost function.  * Presentation – Complete video for teachers and learners on Applications of Calculus.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Applications of Calculus Questions  * Learner will be able to say authoritatively that:  I can complete any question on Area of regions bounded by a line and a curve  I can solve any given question on Small increment and Approximation  I can apply my knowledge of calculus to any given function  I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.

Do you know? Initially the calculus of physics engines in video games was delegated to detecting collisions between in-game objects (such as player characters, rocks, and dust particles) and enacting appropriate responses. Similarly, Calculus is another important part of programming. Calculus problems show up practically all the time in machine learning. In any machine learning problem, the ultimate goal is to optimize the cost function.  * Presentation – Complete video for teachers and learners on Applications of Calculus.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Applications of Calculus Questions  * Learner will be able to say authoritatively that:  I can complete any question on Area of regions bounded by a line and a curve  I can solve any given question on Small increment and Approximation  I can apply my knowledge of calculus to any given function  I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.

GCSE-Advance Level, IB-HL, HSC,H1/H2/H3-Level - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Statistics Questions  * Presentation – Complete video for teachers and learners on Probability and Statistics  * AL-GCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Advanced Level Exam Style Probability and Statistics Questions  * Learner will be able to say authoritatively that I can complete any S1 problems on: Histograms and Cumulative Frequency, Averages, Measures of Dispersion, Box and Whisker Diagrams, Probability, Linear Regression, Skewness, Product Moment Correlation Coefficient, Discrete Random Variables, Expectation and Variance, Discrete Uniform Distribution, Normal Distribution, Binomial Distribution, Poisson Distribution, Continuous Random Variables, Uniform Distribution, Normal Approximations, Sampling, Hypothesis Testing, One and Two Tailed Tests, Random Samples, Estimators, Central Limit Theorem, Confidence Intervals, Geometric Distribution, The Exponential Distribution, Bayes Theorem and Permutations and Combinations. Do you know? Probability plays a vital role in the day to day life. In the weather forecast, sports and gaming strategies, buying or selling insurance, online shopping, and online games, determining blood groups, and analyzing political strategies Similarly, Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results

GCSE-Advance Level, IB-HL, HSC,H1/H2/H3-Level - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Statistics Questions  * Presentation – Complete video for teachers and learners on Probability and Statistics  * AL-GCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Advanced Level Exam Style Probability and Statistics Questions  * Learner will be able to say authoritatively that I can complete any S1 problems on: Histograms and Cumulative Frequency, Averages, Measures of Dispersion, Box and Whisker Diagrams, Probability, Linear Regression, Skewness, Product Moment Correlation Coefficient, Discrete Random Variables, Expectation and Variance, Discrete Uniform Distribution, Normal Distribution, Binomial Distribution, Poisson Distribution, Continuous Random Variables, Uniform Distribution, Normal Approximations, Sampling, Hypothesis Testing, One and Two Tailed Tests, Random Samples, Estimators, Central Limit Theorem, Confidence Intervals, Geometric Distribution, The Exponential Distribution, Bayes Theorem and Permutations and Combinations. Do you know? Probability plays a vital role in the day to day life. In the weather forecast, sports and gaming strategies, buying or selling insurance, online shopping, and online games, determining blood groups, and analyzing political strategies Similarly, Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: mapping images to the names of the people on the images, mapping digital songs to authors/genres/song name, mapping MRI scan data to medical diagnoses, mapping Question’s answers to subjects/categories, mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: mapping images to the names of the people on the images, mapping digital songs to authors/genres/song name, mapping MRI scan data to medical diagnoses, mapping Question’s answers to subjects/categories, mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations.

Do you know? Sequence models are the machine learning models that input or output sequences of data. Sequential data includes text streams, audio clips, video clips, time-series data and etc. Recurrent Neural Networks (RNNs) is a popular algorithm used in sequence models. Applications of Sequence Models Sequences are the main logical structure of algorithms or programs. When creating algorithms or programs, the instructions are presented in a specific correct order. A sequence can contain any number of instructions but each instruction must be run in the order they are presented. For example, the interest portions of monthly payments made to pay off an automobile or home loan, and the list of maximum daily temperatures in one area for a month are sequences. Electronic and Electrical Engineers use the Fourier series to represent the properties of electrical signals Presentation – Complete video and Board Work for teachers and learners on Series: GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Series Exam’s Style Questions Learner will be able to say authoritatively that:  I can solve any given question on Convergent Geometric Progression  I can solve any questions on Infinite Geometric Series  I can solve any given question on Arithmetic and Geometric Progression https://www.amazon.com/~/e/B092ZZD72B https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos