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Articles on Trending Technologies
Technical articles with clear explanations and examples
One to One Function
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 MoreOrdinate
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 MoreModulus Function
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 MoreMonomial
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 MoreMode Formula
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 MoreMean Absolute Deviation
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 MoreOctagon
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 MoreMeasurement of Objects
Introduction Size is always discussed or understood in relation to another object. A relative concept, size. Its own meaning is meaningless. For instance, a dog may seem small to you, but from the perspective of an ant, it is, needless to say, extremely large. In mathematics, scale matters a lot. Realising that mathematics is all around us and that all we do in the classrooms is define and refine it is crucial for understanding patterns and numbers in everyday life. Measurement Definition Measurement is a method that involves comparing an object's characteristics to a reference value to identify its attributes. ...
Read MoreDecomposition Reaction
Introduction In a decomposition reaction, molecules or compounds break to give two or more simpler new substances. There are various types of reactions or chemical reactions: combination type, decomposition type, displacement type, double displacement type, combustion reaction, neutralization reaction, precipitation reaction, and redox reaction. In the precipitation or double replacement reaction, an insoluble precipitate(leftover) is formed or settled down the container. This reaction occurs when two or more soluble salts react or combine to give an insoluble precipitate. The neutralization reaction is a type of reaction where acid (𝐻+), and base (𝑂𝐻−) react or combine to give salt and ...
Read MoreMultiplication Tricks
Introduction Multiplication is a mathematical operation or process of combining the total number of items or values by using repeated addition. It is used in all sections of mathematical problem solutions be it Algebra, Arithmetic, Trigonometry, Coordinate Geometry, Calculus and etc. Multiplicand and Multipliers When we apply multiplication then, the Multiplicand is the number which is being multiplied and the Multiplier is the number which is multiplying the first number. For example: In this multiplication 20 is the Multiplicand and 25 is the Multiplier. Multiplication Tricks A single-digit number can be easily multiplied. But the multiplication of ...
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