Found 468 Articles for Mathematics

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 In mathematics, fractions are used to determine part of a whole number. The word ‘fraction’ is derived from the Latin word ‘fraction’ which means ‘to break’. In Ancient Rome, fractions were used only to describe the part to the whole. But in India fractions were represented by one number above another but without a line. Then Arabs were added a line between two numbers. This line is used to separate the numerator & denominator. Fractions can be represented in the form of decimals & percentages like 0.012 & 12 % represent the fraction $\mathrm{\frac{12}{100}}$. So let's ... Read More

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 More

Introduction In an organization, a lot of data has to be collected and handled for analysis and representation purposes. In this direction, statistical parameters help us to analyse the data effectively. There are various mean used in statistics for the above purpose. In this tutorial, we will learn the meaning of mean, its types, their relationship, and a brief discussion about other central tendencies with solved examples. Data The data is a collective word that represents the collection or arrangement of quantities or categories values. The purpose of data collection is to analyse the specific event in 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

Introduction In non-terminating decimals, the numbers after the decimal point tend to be endless. In the non-terminating repeating decimals, a sequence of numbers after the decimal point is recurring in a specific pattern. These types of numbers are called Rational numbers. They are in $\mathrm{\frac{p}{q}}$ where q ≠ 0. In non-terminating decimals we will be discussing irrational numbers which cannot be represented in fractions. Whereas, if the non-terminating decimals have recurring patterns then it is said these decimals can be converted into fractions. In this tutorial, we will learn about non-terminating repeating decimals and how to ... Read More

Introduction The solutions of the quadratic equation ax2+bx+c=0 serve as the quadratic equation's roots. They are the values of the variable x that the equation requires. The x-coordinates of the x-intercepts of a quadratic function are the roots of the function. A quadratic equation can only have a maximum of two roots because its degree is 2. The nature of these roots of the quadratic equation is solely dependent on the value of the determining factor which is called a discriminant of the quadratic equation about which we will be discussing in this tutorial. Quadratic Equation ... Read More

Introduction In engineering, we come across various systems where the process depends on more than one variable. In this case, the optimization and designing of the system need the involvement of multiple variables. In this direction, multivariable calculus plays an important role. It has various applications starting from economics to science. In this tutorial, we will learn about multivariable calculus and its various operations (such as limits, continuity, partial derivatives, and integration) with solved examples. What is meant by Multivariable Calculus Multivariable calculus is an extended topic of calculus that includes multiple variable functions. ... Read More

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 ... Read More