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Introduction Relation and function are the mapping between two sets. The applications of relations and functions are in every nook and corner of the real world. In Mathematical Sciences, relations and functions are interrelated topics of study. The examples include the conversion of base units from metres to centimetres, height and weight of a person, body temperature under different climatic conditions, Annual income for an employee's work, etc., If an input has only one output, then the relation is a function. The relationship of inputs and outputs in ordered pairs is a relation. The relations and functions worksheet will provide ... Read More
Introduction Relative frequency is the number of times an event occurs divided by the total number of occurrences that occur in a given situation. A count of a specific event is called a frequency. For instance, Kim read ten books on statistics this year. The football team picked up 11 victories. Relative frequencies, on the other hand, do not employ raw counts. Instead, they use percentages, proportions, or fractions to compare the count for one type of event to the entire number of events. The word "relative" refers to a specific tally in relation to the overall number, which is ... Read More
Introduction The remainder theorem is used to find the remainder when a polynomial is divided by another polynomial. Polynomials are algebraic expressions consisting of different algebraic terms & these terms are joined together by mathematical operators like addition (+) & subtraction(-). The concept of polynomials is used in almost every field of mathematics. Also, the polynomial is considered one of the important branches of calculus. It also has wide applications in science. It is a central concept of algebra & algebraic geometry. It is used to form polynomial equations & word problems for analysing & solve difficult problems. In this ... Read More
Introduction The square root of 1 to 25 is a list of the square roots of all numbers from 1 to 25. The square root can have different types of values. Positive integer values for the root from 1 to 25 range from 1 to 5. For an imperfect square, a square root is an irrational number. The root of any number x is expressed as √𝑥 in radical form and $\mathrm{(x)^{2}}$ in exponential form Square roots The square root of any number is the value that can be multiplied by itself to get the original number. The square root ... Read More
Introduction The square root of 2 is represented using the symbol √ and written as $\mathrm{\sqrt{2}\:=\:1.414\:......}$.In order to distinguish it from the negative number that shares the same attribute, it should technically be referred to as the primary square root of 2. According to the Pythagorean theorem, the length of a diagonal cutting a square with sides that are one unit long is the square root of two geometrically. It was perhaps the very first irrational number that was discovered. Due to its limitless number of decimal places and inability to be represented as a fraction, Root 2 is an ... Read More
Introduction Argument of complex number can be described as the angle made by the line formed by the complex number, with the positive x-axis of the argand plane. Argument of complex numbers describes the relationship between the imaginary and real part of the complex number. In this tutorial, we will understand complex numbers, polar form of complex numbers, argument of complex numbers, and some examples based on complex numbers. Complex Numbers Complex numbers are elements of the number system that consist of real numbers along with imaginary unit, i.e. i. which satisfies the argument; i2=-1. When a complex ... Read More
Introduction The properties of inverse trigonometric functions are associated with the range as well as domain of the function. Inverse trigonometric functions are identified as the inverse of some basic trigonometric functions such as sine, cosine, tangent, secant, cosecant, and cotangent functions. Inverse trigonometric functions are also known as, arc functions and cyclometric functions. These expressions of inverse trigonometric functions allow you to find any angle at any trigonometric ratio. These expressions are derived from the properties of trigonometric functions.It is expressed as − $$\mathrm{\sin^{-1}\:, \:\cos^{-1}\:, \:\sec^{-1}\:, \:cosec^{-1}\:, \:\cot^{-1}\:, \:and\:\tan^{-1}}$$ Inverse trigonometric functions also are known as, arc functions, and ... Read More
Introduction A reflexive relation is a relationship between elements of a set where each element is related to the others in the set. As the name implies, every component of the set has a reflection image that is a reflection of itself. In set theory, the reflexive connection is a crucial idea. Since each set is a subset of itself, the relation "is a subset of" on a group of sets is an example of a reflexive relation. In discrete mathematics, we explore a variety of relations, including reflexive, transitive, symmetric, and others. In this lesson, we will comprehend the ... Read More
Introduction The relation between AM , GM and HM is written as $\mathrm{AM\times\:HM\:=\:GM^{2}}$ . When studying sequences in math, we also encounter the relationship between AM, GM, and HM. These three represent the mean or average of the corresponding series. The Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM) are all abbreviations for mean. The mean of the arithmetic progression, the geometric progression, and the harmonic progression is represented by AM, GM, and HM, respectively. One should be familiar with these three meanings and their formulas before learning about how they relate to one another. What is Arithmetic ... Read More
Introduction The realtion between mean , medina and mode is equal to the difference between 3 times the median and 2 times the mean. In statistics, data is a collection of information based on some natural or man-made mathematical phenomenon. There are various methods of studying data and interpreting some properties of the mathematical phenomenon, but the most common is the central tendencies. Central tendencies, as the name suggests, is a method to find the centre of all the observations in the given data in many different ways, the first is to add all the observations and divide that sum ... Read More