A look at what fractals are and three of the most popular examples: the middle third Cantor Set, the Koch curve, and the Sierpinski triangle.
The tangent line of a function in a point is a straight line that has the same slope as the function has in that point.
Finding the roots of a function is a very important operation in maths. For quadratic functions, there are a couple of ways to easily find the roots by hand.
A Nash equilibrium is a situation in a mathematical game in which none of the players would want to change their strategy without the other players changing theirs. A Nash equilibrium can occur in non-cooperative games only.
If you have a room full of people, how many handshakes are required before everybody has shaken hands with everybody else exactly once?
How many squares of all different sizes are there on a chessboard? Instead of counting them up, we can calculate the answer with a formula.
A look at Bertrand's Paradox, where a seemingly simple probability question yields some very differing results.
Learn how to compute for the surface area and volume of truncated solids. This article covers concepts, formulas, problems, and solutions about truncated cylinders and prisms.
Learn how to calculate the surface area and volume of the frustums of the right circular cone and pyramid. This article talks about the concepts and formulas needed in solving for the surface area and volume of frustums of solids.
Learn how to approximate the area of irregularly shaped curve figures using Simpson’s 1/3 Rule. This article covers concepts, problems, and solutions about how to use Simpson’s 1/3 Rule in area approximation.
Learn how to graph a circle given the general form and standard form. Familiarize with converting general form to standard form equation of a circle and know the formulas necessary in solving problems about circles.
Learn how to solve problems involving Quadrilaterals in Plane Geometry. It contains formulas, calculator techniques, descriptions, and properties needed in order to interpret and solve Quadrilateral problems.
This is a complete guide in solving for the moment of inertia of compound or irregular shapes. Know the basic steps and formulas needed and master solving moment of inertia.
ppm is mentioned in many user manual specifications sections of appliances, gadgets, and materials. Why should this be? Why not use per cent (%) or even decimal fractions? ppm is important for accuracy and for safety reasons and is explained here along with conversion methods between the parameters.
Modern day calculator dependence is enabling a consensus to alter long-known, tried and tested, math guidelines, such as PEMDAS/BODMAS, and is applying them them as strict rules instead. My article proves that 8 ÷ (2 + 2) = 1 with or without calculators.
Converting between digital binary words and decimal, octal, or hexadecimal number systems, for human use, is essential to understand the inner workings of the vast tech world of gaming, gadgets, computers, and computerized most things. I describe the best ways to perform these tasks.
The Viral Equation 8 ÷ 2(2 + 2) has only one answer and that is 1 not 16. PEMDAS and BODMAS are being incorrectly applied to this equation by the proponents of 16 as a result, probably due to calculators and spreadsheets applying incorrect rules and not being challenged many years ago.
Equation of a parabola, meaning of locus, directrix, focus, quadratic equation, maxima and minima etc.
When solving division problems, it can be challenging for students to learn how to interpret the remainder. With these 40 example division problems, you can learn more about four possible ways to interpret the meaning of the remainder.
Calculus is a branch of mathematics that studies rates of change. This first part of a two part tutorial covers the concept of limits, differentiating by first principles, rules of differentiation and applications of differential calculus.
How do you add and subtract fractions on the abacus? Mixed numbers? Complex fractions? Introduce children to fractions? Learn from this article.
Covering bases and exponents, laws of exponents. log to the base 10, natural logs, rules of logs, working out logs on a calculator, graphs of log functions, log scales and using logs to perform multiplication.
Numbers are represented using different number systems dependant on their application. For example, numbers within computers use binary or hexadecimal. How do these different number systems work and how can numbers be converted between them?
An article all about the probability of winning the National Lottery jackpot or its smaller prizes.
This article provides a simple method for multiplying fractions using the abacus.
Calculus! We all love it, but who were the early pioneers that led the fight over indivisibles, a cornerstone for this topic?
Like all important fields of study, Calculus had its growing pains. Here is the journey to the foundations of that amazing field.
The binary or base 2 numbering system is the keystone of computer systems and digital electronics. This guide shows you how to convert from decimal to binary and binary to decimal