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Introduction The prime factorization and highest common factor (HCF) are two fundamental concepts in arithmetic. Factorization includes the split of an integer into several equal parts. They are extensively used for exchanging money, comparing prices, making arithmetic calculations, optimizing resources, etc. In this tutorial, we will learn about the HCF, methods to find HCF, prime factorization, and repeated division formula with solved examples. Factors The factor is defined as an integer when it divides a number; the remained results in zero. In other words, if the product of two integers results in a third number, then the two integers are ... Read More
Introduction A matrix that consists of several objects arrayed in a rectangular order. The word "matrix" is a plural matrix and is not commonly used to refer to a matrix. There are many types of matrices, which are basically categorized by element value, order, number of rows and columns, and so on. In this tutorial, we will discuss types of matrices. What is a Matrix? A matrix is an arrangement of numbers, variables, symbols, or expressions in a rectangular table that contains different numbers of rows and columns. These are rectangular arrays that define various operations such as addition, multiplication, ... Read More
Introduction Pie charts look like a slice of pizza (or pie); hence the name given was pie chart. The Statistical Breviary by William Playfair, published in 1801, is largely credited with creating the first known pie chart. Pie charts are frequently utilised in the media and in the business world. But because studies have shown that it can be difficult to compare data inside a single pie chart or between various pie charts, many experts advise against using them. Most of the time, pie charts can be replaced by other plots, such as bar charts, box plots, dot plots, etc. ... Read More
Introduction Parallel lines are lines never meet at any point, and the distance between two lines is the same. In geometry, straight lines may be intersecting or non-intersecting lines. Intersecting lines make an angle with each other, whereas non-intersecting lines do not make any angle with each other. Parallel lines are lines which do not intersect each other. Each point in a parallel line is equidistant from its corresponding point in the other line. Intersecting lines make angles among themselves from 0 degree to 360 degrees. In a two-dimensional plane, two or more lines can be intersect, parallel, and perpendicular ... Read More
Introduction PEMDAS means the order of operations for mathematical expressions involving more than one mathematical operations. In an arithmetic expression containing more than one mathematical operator or a parenthesis, there is a preference in order of operations to be followed to get the correct result of the arithmetic expression the order of operations in a shortcut called PEMDAS. The change in the order of operations would change the result of the arithmetic expression. Therefore, the PEMDAS rule is strictly followed to get the correct result. In the United Kingdom, it is called BODMAS, in Canada, it is called BEDMAS. In ... Read More
Introduction Pictographs are graphs used to represent data using symbols and images associated with the data. Pictographs are a way of expressing data using images. Each image of the icon represents a specific number. That is, the icon uses images and symbols to convey information about the data provided. Pictograms need to be used very carefully and are very convenient to use, but they can also misinterpret the data. When drawing a pictogram, the data is most often interpreted visually and should look visually correct. You can easily interpret your data using various image representations of your data, such as ... Read More
Introduction The polar form of a complex number $\mathrm{z\:=\:x\:+\:iy\:is\:r(\cos\theta\:+\:i\:\sin\theta)}$.In mathematics, there are various coordinate systems to represent real numbers. However, the complex number system can be represented in two ways, i.e., rectangular and polar coordinate systems. In this tutorial, we will learn about complex numbers, their representation in polar form, and some basic formulae related to complex numbers with solved examples. Complex Number The complex number is a category of a number system associated imaginary numbers. In other words, complex numbers are the summation of real and imaginary numbers. The imaginary numbers are nothing but the square root of the ... Read More
The Layout managers enable us to control the way in which visual components are arranged in the GUI forms by determining the size and position of components within the containers. Types of LayoutManager There are 6 layout managers in Java FlowLayout: It arranges the components in a container like the words on a page. It fills the top line from left to right and top to bottom. The components are arranged in the order as they are added i.e. first components appears at top left, if the container is not wide enough to display all the components, ... Read More
Introduction One to one functions that maps every element of the range to one element of its domain. Functions are defined as relationships between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or range. Functions are commonly represented by 𝑓 (𝑥), where x is the input. The general representation of a function is $$\mathrm{y\:=\:f(x)}$$ In a mathematical sense, these relationships can be described as one-to-one functions. In this case, the number of elements is the ... Read More
Introduction Odd Numbers and even numbers are one of the many types of classification of numbers. The odd numbers are not even, and the numbers which are even are not odd. Both are inverse to each other. Odd and even numbers are differentiated by whether the number is divisible by 2 or the number is a multiple of 2. An odd number, when divided by two, leaves a remainder of 1. On the other side, an even number, when divided by 2, leaves a remainder of 0. Even numbers are divisible by two and multiples of 2. Example − ... Read More