# Math

## Some Thoughts on the Collatz Conjecture Including Its Implications for Philosophy

In 1937 Lothar Collatz posed what may be the simplest unsolved problem in mathematics. Mathematicians have, ever since, had to resist engaging with this vampire problem, which may stop them doing meaningful work ever again.

## Multiplying 2 Digits Numbers Times Another Number the Easy Way

Was kind of testing this method of multiplying... and I was surprised myself

## At-Home Opportunities to Teach Math

Math is a fundamental ability that will be utilized for your youngster's whole life. There is no getting away from it. Without math, your youngster would have a startling future and not be able to do basic errands, for example, heat treats and gap medication measurements accurately. The following ar

## Something About Group Theory

Presents a lecture on Groups, a segment of Abstract Algebra.

## Voronoi's Diagrams in the Natural Science and Art

The author shows connection between exact disciplines and the art of lines. The bright example of this application is the creative activities of the mathematician Georgy Voronoi related to the notion Diagram

## Locally Weighted Regression(lowess)

This article will explain the concept of locally weighted regression, which is a type of linear regression. We use linear regression in cases where the dataset is linearly correlated and is not suitable for non-linear datasets. For non-linear datasets, a concept of LOWESS is introduced.

## Math 6: Circumference and Intersection

Circumferences are the 2d forms of circles, and the way they are solved can depend on different ecuations and intersections with the lines.

## Question of harmony/disharmony

Harmony confirms the position inside the physical body’s every particle that there is an absolute knowledge of what it feels like to live together.

## Math 5: Geometry and Trigonometry

The Geometric figures are anyfigure that is formed in space that meets certain characteristics. For its study many factors are considered, the number of sides it has, the length of those sides, its internal angles, and that it is closed (that is, that all its sides are connected by a vertex).

## Math 4: Geometric and Algebraic sequences

Geometric and algebraic sequences are those sequences whose values can be calculated through formulas.

## Math 3: Algebra 2

Algebra is an extensive topic, which includes several types of expressions and formulas, in this article you can find it all.

## Math 2: Algebra 1

Algebra is an extensive topic, which includes several types of expressions and formulas, in this article you can find it all.

## Math 1: Least Common Multiple and Greatest Common Divisor

Math Lesson 1: What is it and how to calculate LCM and GCD.

## My Father’s Workshop: Five Letter Opposite Words Game & Puzzle

The Five Letter Opposite Word Game and Puzzle is easy to make from a single sheet of paper in about 30 minutes with only a pencil, pen, and ruler. It is a slider type puzzle that involves moving letter pieces from top to bottom. Easy to make, hard to solve. Originally designed in 1957.

## N-bonacci Sequences - Taking Fibonacci Further

Most of us have heard of Fibonacci numbers and know a little about what they are, but what about N-bonacci numbers? In this article we will look at what they are and how they link to the Fibonacci sequence.

## The Essence of Trigonometry

The world of Trigonometry is based on the Unit Circle and the relationship between two of the Circle's infinite number of radii. This relationship is expressed fundamentally as the SIN and the COSINE of the angle formed between the two radii.

## Subtraction of Integers

Subtraction is just the inverse of addition. To subtract integers, you just have to change the subtraction problem into an addition problem, then perform the "Keep, Change, Change" method.

## Addition of Integers

To add integers using the number line, always start at zero and move n units to the right if the number is positive and n units to the left if the number is negative.

## Monty Hall Problem: Choose The Other Door For The Goat

Few people would have predicted the mathematical controversy that would follow the first time the 'three door problem' was played on the quiz show, Let's Make A Deal. The game is easy to play, but the implications in terms of probability theory were controversial and divisive.

## The Pancake Problem: How do we solve it?

An enthusiastic teacher goes overboard to discuss the famous Pancake Problem, bringing in sorting algorithms and recursion techniques in an analysis of stacks of different sized pancakes. Intuitive conclusions are drawn regarding the number of pancake tosses a hapless chef needs to make.

## Pick’s Theorem To Find The Area Of A Polygon

The area of a flat shape can be estimated by dividing it into unit squares and counting their number. Pick's Theorem provides a method to find the exact area of a polygon drawn on a dotted grid. We look at how the Theorem works and establish a proof using Euler's formula.

## Do I Love To Shake Hands? Let Me Count The Ways!

Shaking hands is one of the most common activities we do. But have you considered just how many handshakes you would have to make in a room full of people? We will delve into the mathematics of handshaking and combinatorial analysis.

## Number of Regions Formed by Connecting Points on the Perimeter of a Circle

This mathematical investigation generally aimed to develop a mathematical formula to calculate the number of regions formed by connecting the points on the perimeter of a circle. Specifically, this investigation aimed to observe some patterns that will help the investigator develop a conjecture.

## Listen, Mate, My Friend Is Pythagoras

A casual summer job with a motley crew of tradesmen almost made me regret that I wasn't back at University. This was until I came to understand their special brand of humour, knowledge and their worship of Pythagoras.

## Mathematics as a Language

“Mathematics is the language in which God has written the universe.” – Galileo Galilei

## Sum and Product of Complex Numbers

To add or multiply two complex numbers, consider them as if they were polynomials and simplify the result by letting i2 = -1.

## Ubiquitous Barcodes and ISBN

Virtually every processed item, be it animal, vegetable or mineral, has associated with it a signature known as a barcode. This article examines two standard footprints that provide substantial information about a product; EAN-13 and ISBN.

## The Language of Mathematics

Mathematical language is a system used to express, communicate and convey mathematical information. It is distinct and unique from the usual language that people are used to and is used to communicate abstract and logical ideas. Mathematical language is characterized by abstraction symbols and rule.

## Fibonacci Sequence and Binet's Formula

Fibonacci Sequence is popularized in Europe by Leonardo of Pisa, famously known as Leonardo Fibonacci. The nth term of a Fibonacci sequence is found by adding up the two Fibonacci numbers before it. But how can we find the nth term of a Fibonacci sequence without it's two preceding terms?

## How Parents Can Guide Their Children’s Mathematics Education

There are many things parents can do to assist their child to cope with the rigors of mathematics. This article provides specific examples and general advice to parents who can act as mentors.

## Mathematical Language and Symbols

There are 3 characteristics of mathematical language; being precise, being concise, and being powerful.

## 5 Representations of Relations and Functions

A relation or function can be represented in five ways–ordered pairs, table of values, mapping diagram, graph, and rule or equation. This article will give you the discussion on these 5 representations of relations or functions.

## Mathematics and its Relation With Nature: Fibonacci, Turing Patterns and Chaos Theory

This article establishes mathematics' relation with beautiful components of nature. It focusses on the technicalities associated with it and explains the reason behind it. It's an answer to the curiosity that arises when we admire the beauty of these creations.

## How to Memorize the Properties of Quadrilaterals

Geometric shapes are always good to look at but sometimes difficult to memorize with regards to what are the properties they have in common, what makes them different and so on. So, here we are to discuss some tips which makes learning the properties of quadrilaterals easy.

## Teaching Geometry Through Paper Folding

10 Ideas for using paper folding in geometry lessons, for just in case your child or students find it boring

## How many times can you fold a sheet of paper?

Ever tried to fold paper as many times as you could? It is widely accepted that you can't fold it more than 7 times. Let's investigate this popular (mis)conception.

## Solving Exercises Involving Integrals

This hub presents solutions to selected integration exercises.

## Revise Trigonometry for Sat Mathematics.

This article teaches you Trigonometry with comprehensive explanations to help you revise for the SAT mathematics examination.

## Finding the Correlation Coefficient Using Pearson Correlation and Spearman Rank Correlation

Spearman Rank Correlation and Pearson Correlation can be both used to identify the relationship between two sets of data. This a brief comparison between the two measures of correlation and there are examples provided to explain how to solve them.

## Do You See False Patterns in Random Data?

Coincidence or the presence of a certain third, unseen factor? Is this how a conspiracy theory is born? An illusory correlation or in Latin, 'um hoc ergo propter hoc', "with this, therefore because of this," also called the false cause.

## The Clown Always Wins

If you have played the 'laughing clown' game at the carnival, you appreciate how frustrating it is that a prize is always just out of your reach. Now let's mathematically explore why this is the case.

## Chess, Rice and Knights

Do you know the origin of the game of chess? We take a look at one version of its history and continue to a version of solitaire involving the knight.

## Let's Deal Math

A teacher's quest to enlighten math students can take unexpected turns. Let's see how one teacher livens up the lesson by involving the class in a quiz game show

## Calculator Techniques for Mathematics Using Casio Calculators

Prepare for your engineering board exam by learning the different calculator techniques in Mathematics. Master the calculator techniques and surely, you'll do good in your engineering board exam.

## Reasoning: Sequence and Series—AP, GP, HP

Number series is a part of the reasoning in mathematics. It's a very interesting and good exercise for the brain. In most competitive exams it is asked. If you know the tricks you can solve it quickly. The article mainly focuses on three sequences— A.P, G.P., & H.P