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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 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 MorePlace Value Worksheets
Introduction Place value is the foundation for understanding number systems in mathematics. Place value helps in understanding the base 10 number system. Place value worksheet is an important tool to understand the concept, and helps students develop logical, problem-solving and reasoning skills. Place Value Each digit in a multi-digit number has a specific position in that number, which is defined by the base 10 number system. When a multi-digit number is written in numerical form, the position of a number can vary from unit to infinity. Place Value Chart For a 10-digit number, the following table represents the placement of ...
Read MoreMaxima & Minima Using First Derivative Test
Introduction Usually, various physical entities are expressed in a mathematical equation that includes several variables. A function can represent the nature of variables during the process. A function can be graphically presented between the variable and the desired response. However, most of the time, we need to find the specific points at which the function gives a maximum and a minimum value. In this direction, the derivative test, which is a fundamental concept of calculus, is found to be quite helpful. In this tutorial, we will learn about the derivative, its application in optimization, and the determination of maxima and ...
Read MoreMultiple Regression
Introduction Before we learn about multiple linear regression, let us understand what linear regression is. Linear regression helps in determining the relationship between two variables in data sets. As already stated linear regression has its limitation to two variables. Therefore, multiple linear regression helps in determining the relationship between more than two variables. Though multiple linear regression cannot overcome the weakness of linear regression, multiple linear regression is used to make a regression model with multiple independent variables and single dependent variable. Multiple linear regression is used most importantly in econometrics and financial inference. Definition Simple ...
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