# Math

## Why Is Prasanta Chandra Mahalanobis Is Regarded as the Father of Indian Statistics

Prasanta Chandra Mahalanobis is celebrated as the father of Indian statistics for his significant contributions to the field. His work in the Indian National Sample Survey has been recognized as a major milestone in the development of statistics in India.

## Logic and Intuition: Features, Stages of Our Thinking

It says about two opposite sides of our thinking- logical and intuitive. Author analyzes the pluses and minuses of this processus

## Logic of the Port Royal

It says about one of the most famous textbook on Logic-Logic of Port Royal. The author shows connections and interconnection between linguistic science and Logic.

## Logic of Confucius in the Philosophy of Ancient China

Author tries to show the contribution of Ancient China in the development of common logic using parallels with similar processes in Western philosophy,

## Logic in Prehistoric Times

Author pays attention to a very specific type of logic. It saysc about logic in thinking of the prehistoric man. He uses achievements of linguistics, anthropology, and ethnology in learning this interesting phenomenon of human mind

## 7 Apps Very Similar to Photomath, Which Solves Mathematics Questions

It is a dream for every high school, secondary school or college students to be a top performer in every subject or course he/she is taking. Even though this is the case, it is not possible for everyone to be very fine when it comes to performing well in school in all subjects or courses.

## Portmanteau Test Statistic: Test the Adequacy of a Fitted Model

Portmanteau Test Statistic has its own significant place as a model selection criterion in the literature of the time series modelling and forecasting. It tests the overall randomness of the residuals rather than testing the randomness at each individual and distinctive lag.

## Teach Abacus Training, This Is Very Special for Your Kids. Whatever Benefits This?

The UCMAS Mental Arithmetic System is a modern take on an ancient mental math system. It makes use of an ancient tool called the abacus for right cognitive development, which helps to improve speed, accuracy, learning capacity, focus, sensory capability, memory, and academic achievement.

## Basic Statistical Concepts

Statistics is defined as the science of learning from data, and of measuring, controlling, and communicating uncertainty; and it thereby provides the navigation essential for controlling the course of scientific and societal advance.

## I Know Nothing About Algebra, How Do I Help My Teen?

Many feel that Algebra and advanced mathematics is either a waste of time, or just flat out impossible. As a Algebra Teacher, I can tell you, neither case is true. It is true that many will never use advanced math past school, but the courses teach critical thinking which is always an asset.

## Why Should I Love Math?

This is a very popular section in the AI writing section. This section answers the question - why should I love math? and gives you some statistics on how many people around the world are in love with math. — The reason why I love math is that it is the most beautiful language in the world. It is

## Exponential Notation

Exponent tells us how many times we will multiply a number to itself. For example, if we have, 52 , 5 is called the base, and 2 is the exponent (also referred to as power or index). Base is the number multiplied by itself repeatedly (as indicated by exponent).

## Numbers and Number Sense: Order of Operations

GEMDAS is an acronym for grouping symbols, exponents, multiplication, division, addition and subtraction. This tells us that whenever we perform operations on a given mathematical expression, we follow this order or sequence.

## Math's Uses in Real LIfe

Mathematics surrounds us and you may not pay attention to it. Math in class may seem dry and boring, but in the real world it is part of our daily lives. Math is a medium that ought to be embraced by everybody in the entirety of our different backgrounds.

## Pythagorean and Almost Pythagorean Triples

Pythagoras Theorem, known millennia before his birth, has links to geometry, algebra and number theory

## 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 Fields

Presents a lecture on fields, a segment of Abstract Algebra

## 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.

## Decreasing the Circumference of Differently Sized Circles: A Counterintuitive Cricket Problem

The village of Smallville and the Intergalactic Gods have both had five metres of boundary rope stolen from their circular cricket pitches. They have vastly different sized pitches, so whose pitch will reduce in radius the most?

## 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.

## Math: How to Find the Limit of a Function

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".

## 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.

## Math: How to Solve Linear Equations and Systems of Linear Equations

Linear equations pop up everywhere and solving them is one of the most basic tools in mathematics.

## 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?