Math
Apache Mahout Apache Mahout(TM) is a distributed linear algebra framework and mathematically expressive Scala DSL designed to let mathematicians, statisticians, and data scientists quickly implement their own algorithms. Apache Mahout is an open-source project from the Apache Software Foundation designed to create scalable machine learning algorithms. It runs on top of the Apache Hadoop ecosystem and is optimized for large-scale […]
The Law of Large Numbers In this tutorial, you will learn about the law of large numbers in probability theory. Have you ever flipped a coin a few times and noticed that sometimes you get more heads than tails, or vice versa? But if you keep flipping the coin again and again—say hundreds or thousands […]
The Bayes Formula Bayes’ Theorem helps us figure out how likely something is, given new information. It tells us how to update our beliefs when we get new evidence. Probability: This is just a measure of how likely something is to happen. It’s a number between 0 and 1, where: 0: Impossible. 1: Certain. Hypothesis: […]
Types of Relations in Mathematics Below, assume the relation R is on a set A (so both components come from the same set). Reflexive Relation Definition: R is reflexive if every element is related to itself: for all a ∈ A, (a, a) ∈ R. Example: Equality “=” on any set is reflexive because a […]
Relations in Mathematics Understanding relations is a foundation for topics such as functions, equivalence, and orderings. In mathematics, relations help us describe connections between numbers, sets, and objects—like “is equal to,” “is greater than,” or “is a friend of.” Think of a relation as a rule that tells you which things are connected to which. […]
Bayes Theorem in Probability Theory In probability theory, Bayes’ Theorem is a fundamental concept used to determine the likelihood of an event based on prior knowledge of related conditions. It helps update the probability of a hypothesis as more evidence or information becomes available. Bayes’ Theorem plays a key role in statistical inference, decision-making, and […]