Found 459 Articles for Mathematics

Introduction Coincident lines are the lines that are on top of each other. The term "coincide" refers to something happening at the same time. In mathematics, coincident lines are lines that lie on top of each other so that when we look at them, they appear to be a single line rather than double or multiple lines. Parallel lines are lines that are parallel to each other and have a predetermined distance between them. Perpendicular lines, on the other hand, are lines that intersect at a 90- degree angle. However, parallel and perpendicular lines do not coincide. In this tutorial, ... Read More

Introduction Box and whisker plots can be used to display and analyze data . More detailed details in various distributions or datasets are sometimes required, which measures of any central tendency such as mean, median, and mode may not meet. The variability or dispersion of data necessitates a much more concrete foundation. A box and whiskers plot can meet this demand. A box and whisker plot is a method of abstracting a set of data that is estimated using an interval scale. It is also known as a box plot. These are mostly used to interpret data. It is a ... Read More

Introduction The bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs . There are different ways to find the roots of different equations(like simple, quadratic) and functions. Bisection method is the way to find the roots of a function which is polynomial in nature. This method is quite interesting. We first select an interval or range where the roots may lie, then we bisect and go on dividing the interval into a number of sub intervals until we finally reach the root. The main idea of this method ... Read More

Introduction Binomial Theorem for Positive Integral Indices states that “the total number of terms in the expansion is one more than the index”. The nth row of this array gives the coefficients in the expansion of $\mathrm{(a\:+\:b)^{n}}$ in descending powers of a and ascending powers of b; this array is known as the Pascal’s triangle after French mathematician Blaise Pascal (1623-1662). The triangle is, in fact, much older; it appeared as early as in 1303 in the works of the Chinese mathematician Chu Shin-Chien. Indeed, this was described by Indian mathematician Halayudha in 10th century A.D. as Meru Prastara, 700 ... Read More

Introduction The binary division is a method to divide one binary number from another binary number. Binary numbers can undergo the four major arithmetic operations addition, division, subtraction, and multiplication-like numbers. The binary division is similar to the division of decimal numbers, while in the case of decimal numbers, there were 0-9, 10 digits. Here, in the case of binary numbers, there are only two digits 0 and 1.The long division method is one of the significant methods used in binary division. Definition Binary Numbers: The word ‘bi’ means two so, it is a number system that is used ... Read More

Introduction One billion can be written as 1 , 000 , 000 , 000 . In mathematics, place value can be used to define numbers. There are two different ways to represent the place value of the digits in the numbers. The positional values of the number are determined using place value charts. Positions allow for the expansion of the numbers in the general form. In this tutorial, we will learn about billions in rupees, the number system, and the conversion of the number system. Number Systems Number systems are mathematical expressions of numbers in various ways that computers ... Read More

Introduction Data handling and data representation are the processes of collecting and presentation of data systematically. Data handling is the act of collecting a set of data and presenting it in various formats data handling. The act of collecting, maintaining, and presenting data in a way that facilitates analysis, forecasting, and decision-making is known as data handling. Here in this tutorial, we shall discuss in brief data handling, central tendencies, frequency tables, how to represent data in graphs, and examples related to data handling. What is Data Handling? The initial collection of observations is referred to as the raw data. ... Read More

Introduction Arithmetic Geometric progression is a sequence of numbers in which each element is arranged in such an order that ratio of two consecutive terms always remains the same. In mathematics, a sequence is a collection of numbers arranged in an order that each element in the sequence corresponds to the position and value of the next element. Sequence is the basis for calculating infinite series in advanced mathematics. In this tutorial, we will study arithmetic progression, nth term formula, sum of n terms of an arithmetic progression and some solved examples. Sequence A collection of numbers which can be ... Read More

Introduction Area is the space occupied by a figure. Polygons are the two-dimensional shape which has plane closed figures made of the line segments. Based on the number of sides each name of the polygon varies such as, triangles, quadrilateral, etc. The circle and ellipse are closed two dimensional shapes that have no sides. Area is a two-dimensional measurement that represents the amount of space covered by a two-dimensional shape. Area Area is the space inside a 2D shape. To measure the area of polygons, when the figure is in the grid, we can use unit squares. By ... Read More

Introduction Area of trapezium is the region covered by a trapezium in a two-dimensional plane. A trapezoid is a convex quadrilateral with exactly one pair of parallel sides. A trapezoid is a two-dimensional shape. It looks like a table if we draw it on paper. A quadrilateral can be described as a polygon that has exactly four sides and four vertices in the terms of Euclidian geometry. The number of sides, corners of a trapezium is always four and it is always constant. There are many examples of trapezoids in the real world. The fundamental use of trapezoids is the ... Read More