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Introduction Operations of integers such as addition, subtraction, multiplication, and division can be explained in the number line system. In our daily life, we need to perform various algebraic operations with numbers. There are various types of numbers used in mathematics. In specific, the integer is a special type of number widely used. The presentation and several mathematical operations of integers are necessary. In this tutorial, we will learn about the number systems, integers, their presentation on the number line, comparison and operation of the integers on the number line with solved examples. Number System A number is a mathematical ... Read More
Introduction Operations on rational numbers such as basic operations like addition, subtraction, multiplication and division. Rational numbers are fractions containing a numerator and a denominator (the denominator should be a non-zero integer). In algebra, rational numbers are used in various science, mathematics, and economics sectors. Moreover, various operations such as addition, subtraction, division, and multiplication are necessary to obtain a third rational number. All these operations are quite different from the algebraic operations of integers. In this tutorial, we will discuss number systems, rational numbers, comparison between rational numbers, and their various operations with solved examples. Number System A number ... Read More
Introduction Ordinate is the second component in the ordered pair (x, y). There are two major branches of mathematics, including algebra and geometry. Both have separate uses and applications. However, the French mathematician Rene Descartes derived a concept through the combination of algebra and geometry. This concept helps us to express the location of any object, point, or line in the coordinate system. However, there are various topics included in the coordinate system. In this tutorial, we will learn about the coordinate system, the cartesian plane, its components (ordinate and abscissa), and some basic formulas with solved examples. Coordinate System ... Read More
The class named File of the java.io package represents a file or directory (path names) in the system. This class provides various methods to perform various operations on files/directories. The mkdir() method of this class creates a directory with the path represented by the current object. Creating directory hierarchy There are two main ways to create a directory hierarchy in Java − Using mkdirs() Method Using createDirectories() Method Let us look at these solutions one by one. Using mkdirs() Method To create a hierarchy of new directories you can using the method mkdirs() of the same class. This ... Read More
In order to get a synchronized list from an ArrayList, we use the synchronizedList(List ) method in Java. The Collections.synchronizedList(List ) method accepts the ArrayList as an argument and returns a thread safe list.Declaration −The Collections.synchronizedList(List ) method is declared as follows −public static List synchronizedList(List list)Let us see a program to get a synchronized List from ArrayList −Example import java.util.*; public class Example { public static void main (String[] args) { List list = new ArrayList(); list.add("Hello"); ... Read More
Introduction A modulus function can be used to find the magnitude of a number irrespective of its sign. In other words, a modulus function gives the magnitude of a number. A modulus function also determines the distance of a number from the origin. It always gives the non-negative value of the function. It is used in almost all the major scientific measurements. Modulus functions are represented as a=|x|. In this tutorial, we are going to learn about the functions, absolute(modulus) fFunction, graph of absolute function, properties of absolute function, rules of definite integration of absolute function, continuity ... Read More
Introduction A monomial is the product of positive integer powers of variables. it does not include any negative number and fraction exponent. If the monomial is a fraction it has no variable in its denominator. A monomial variable is a character it contains. Coefficients are numbers multiplied by monomial variables. The degree of the monomial is the sum of the exponents of all variables. In this tutorial, we will discuss Monomial and its parts. What is a Monomial? A monomial is a component of a polynomial and is called a "term" when it is part of a ... Read More
Introduction The mode indicates the most frequently occurring value or number in the record. You may need to find values that occur more often in your dataset. In such cases, find the mode for the given dataset. A particular record may or may not have a modal value. For data with no-repeat values, there may be no mode at all. A mode is relevant when studying a list of numbers (such as the heights of all the children in a class). It is the numerical quantity that comes most frequently on the list. There can be a ... Read More
Introduction Various statistical terms and methods represent, analyse, and compare the data in mathematics. A data set contains many numbers or values, which is quite difficult to analyse. In this direction, various mean and deviation terms are used to predict the behaviour of the process. In this tutorial, we will learn about central tendencies, variance, deviation, mean, absolute, and standard deviation with some examples. Central Tendencies Central tendency is an important concept of descriptive statistics. In statistics, central tendencies are defined as a unique value that represents the central value of the probability distribution. It does not state the individual ... Read More
Introduction A polygon is a geometrical figure with a finite number of sides in two-dimension. The octagon is an eight-sided polygon. An octagon whose all sides are equal is called a regular octagon. An octagon has eight interior angles depending upon the side length the interior angles vary between themselves. There are different types of octagons depending on the side lengths and interior angles. There are a total of twenty diagonals possible in an octagon. Polygons A polygon is a two-dimensional figure made up of connecting a finite number of line segments. These line ... Read More