The slope of a line is the direction in which the line goes. You can calculate it as the ratio between horizontal change and vertical change, or you can use the derivative.
Finding the intersection is something that comes up a lot in math. To do this you need to set the expressions equal and solve for x. Then you can determine y by filling in the x you found.
The variance of a probability distribution is a measure to quantify the spread of a distribution. If the variance is low, all outcomes are close to the mean, while distributions with a high variance have outcomes that could be far away from the mean.
The mean is the most important measure of probability distributions. It tells a lot about the likelihood that certain events will happen.
The Pythagorean theorem is one of the most well-known theorems in math. It describes the length of the hypothenuse of a right triangle using the lengths of the other sides.
A right triangle is a triangle in which one angle is right, meaning it is exactly 90°. For these triangles, it is possible to calculate the other angles using goniometric functions as the sine, cosine and tangent.
The inverse function of a function f(x) tells you which x you need to fill in in f to get a certain outcome. It therefore can be very useful in practice.
The limit of a function describes how the function behaves in the neighborhood of some value. Often, it is interesting to look at the limit for x to infinity. This describes what happens when you would follow the line of the graph of the function until "the end".
Finding the minimum or maximum of a function is very important in mathematics. It can help you finding the optimal solution to a problem. Often you want some quantity to be maximal, such as profits or capacity. Also minima can be very useful, for example, when looking at a cost function.
Finding the derivative is something that comes up a lot in maths, but what is it actually? The derivative tells you what the slope of the function is in a certain point. The derivative of a function can be calculated using the definition, but mostly it is done by using standard rules.
Quadratic inequalities is a topic that comes up a lot in various mathematical problems. To solve them, one has to first solve the equality and then determine the solution by looking at the graph.
Linear equations pop up everywhere and solving them is one of the most basic tools in mathematics.
Bayes' Law is an important tool to calculate conditional probabilities, such as the probability that A happens given B happened. It has many applications, but is often interpreted incorrectly.
This article discusses the problem classes P and NP and explains how you might solve such decision problems. It offers an easy-to-follow example.
In 2000 there were seven unsolved math problems that got the title millennium prize problem. If you can solve one of these you will get 1 million dollars for it. So far, only one of them is solved.
Graph theory is a very important field of mathematics. It has a lot of real world applications. The basics are not very difficult.
Complex numbers are an extension of the real numbers that allow us to calculate the square root of negative numbers. All numbers can be represented as a complex number, and we can do all kinds of computations with them.
Multiplying two matrices is different than multiplying just numbers. Because of these differences, the order in which the matrices are multiplied does matter. To be able to multiply two matrices, the dimensions must be right.
In poker the best hand wins. Therefore you want to only play if you can make the best hand. A solid pre-flop strategy will help you win more often if you decide to play a hand.
Poker is a strategic game that involves a lot of math. However, this math is not very difficult. Mastering this math will make you a much better player.
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.
Practice is crucial in becoming better at darts. An important part of darts is finishing. You cannot win a darts match without finishing. These five practice routines will help you become better at it.
A pub quiz is a very popular event in which teams try to answer trivia questions. Most people just participate for fun, but others really try to win. What makes some teams better than others?
Codenames is a party game in which two teams play against each other. One player per team tries to describe with descriptions of only one word the cards that belong to his team, without describing the cards that belong to the the opponents.
Pandemic is a board game in which the players act as a team. Their goal is to control four spreading viruses, while trying to make a vaccine for them. To achieve this, the players need good team work. It is a great game that requires a lot of strategy.
Pandemic Legacy Season 1 is a cooperative board game based on Pandemic, in which you play a story of twelve months in which your team tries to stop the world from spreading virusses.
Terraforming Mars is a boardgame in which all players play as a company that wants to prepare Mars to go and live there. It is a very strategic game that is made for true boardgame lovers.
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.