Introduction In the Middle Ages, the roman number system is considered a standard writing system for numbers throughout Europe. Romans invented it for daily life because they could not count more than ten using their fingers. Latin numbers are the words in Latin that are used to count numbers. They are also represented by roman numerals but are read in Latin. Roman numbers consist of symbols containing alphabets as some base numbers. Numbers Numbers play a huge part in daily life and mathematics. They are used to counting things, without numbers it is tough to count and remember the ... Read More

Introduction Rolle’s theorem and Lagrange’s mean value theorem are interpreted on a function over an interval if the function satisfies the condition of continuity over a given closed interval and the condition of differentiability over a given open interval. The continuity of a function over a closed interval is defined as the function's graph that should not contain any break over the interval. The differentiability of a function over an open interval is defined as the function should be differentiable at every point in the interval. Continuity and Differentiability Continuity: Let’s take a function 𝑓(𝑥) with a domain and ... Read More

Introduction A three-dimensional solid figure is called the right circular cylinder. There is a closed circular surface on both ends of the right circular cylinder, which are parallel to one another. The right cylinder is another name for a right circular cylinder. All of the points on the closed surface are equally spaced from the axis of the right circular cylinder. In everyday life, a right circular cylinder is the most typical 3D figure. The correct round cylinder can be created by stacking many circular pieces of paper. It is known as a right circular cylinder because it has been ... Read More

Introduction The word trigonometry means tri-angle-measurements which is three angle measurement. When we take any polygon, such as square, rectangle, pentagon, hexagon, etc., we can divide each polygon into triangles. So trigonometry mainly deals with triangles. There are three types of triangle based on the angle measurements. They are acute angled triangle, obtuse angled triangle, right angle triangle. Acute angled triangle − All the three interior angles measured are less than 90°. Obtuse angled triangle − All the three interior angles measured are greater than 90°. Right angled triangle − At Least one of the interior angles measures 90°. Right ... Read More

Introduction A linear equation is a type of equation in which the order of each variable in the equation is exactly one. A one-variable linear equation is an equation with only one variable and one solution to the equation. When drawn on a chart, it will appear as a straight line horizontally or vertically. Any variable or symbol can be used to represent an unknown, but the variable "x" is typically used to represent an unknown in a linear equation of one variable. There are several easy ways to solve a linear equation. Constants are separated on one side of ... Read More

Introduction A relation is defined as the mutual dependence of one element on another. In mathematics, the function represents the specific relationships between two sets of elements. In this tutorial, we will discuss the meaning of relations and functions, their various types, and the inverse of a function with solved examples. Relations The relation is a binary relation between two classes or sets, representing that the elements of both classes are somehow related. The binary relation between two sets X and Y is a set of ordered pairs of elements, i.e., (x, y), in such a way that the element ... Read More

Introduction Division is splitting (dividend) into equal parts by a known number of parts (divisor). Division is used everywhere in real life. When a number is divided by the same number the result is 1. Example: 4\/4 = 1. When a number is divided by 1 the result is the same number. Example:15/1=15 . When 0 is divided by a number, the result is 0. Example: 0÷14 = 0. When a number is divided by 0, the result doesn't have any value. Example: 7÷0 = undefined. Division Algorithm To divide a number there are two steps to follow − ... Read More

Introduction In statistics, three major terms are used to describe the central tendencies of data, i.e., mean, median, and mode. However, these terms refer to a specific number that represents the central value. However, quartile is another statistical term used to describe the data more efficiently than the above term. The concept of quartile is generally used to compare the data of one company with another. In addition, it is used to represent the median and quartiles graphically. In this tutorial, we will learn about the definition, formula, deviation, range, and some solved examples related to quartiles. Definition The ... Read More

Introduction A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadra, a variation of four, and latus, meaning "side, " are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle, " it is also known as a quadrangle or 4-angle. There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple ... Read More

Introduction The quadratic equation is a one-variable polynomial equation with degree two. The highest power of the unknown variable in a quadratic equation is two. The general form of a quadratic equation f(x) with variable x is f(x)=ax2+bx+c=0, in which a≠0 and a, b, c ϵ R. Every quadratic equation has two roots which can be real or imaginary. The discriminant of a quadratic equation determines the nature of the roots. The roots can be calculated using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general ... Read More