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Articles by Praveen Varghese Thomas
Page 7 of 75
Conditional Probability
Introduction Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. In this tutorial, we will learn about Probability, Dependent and Independent Events, Conditional Probability and Conditional Probability theorem. We will also learn about Multiplication Rule in Probability and Total Probability and Bayes’ theorem. The probability of an event occurring given that another event has already occurred is known as conditional probability. For Conditional probability the events has to be dependent. Dependent events are the events where the occurrence of one event causes change in the probability ...
Read MoreConsecutive Integers
Introduction Consecutive integers are those integers that follow each other in a particular sequence or order. Natural numbers, whole numbers, rational & irrational numbers, real numbers & integers are some types of numbers. Integers are the set of whole positive & negative numbers with zero. ‘Integer’ is a Latin word which means whole or complete. This means fractional or decimal numbers are not included in integers. For example, 1, −5, 4, 9, −6. We can carry out basic arithmetic operations i.e addition, subtraction, multiplication & division on integers. Consecutive integers are those numbers that follow each other in a ...
Read MoreBinary Division
Introduction The binary division is a method to divide one binary number from another binary number. Binary numbers can undergo the four major arithmetic operations addition, division, subtraction, and multiplication-like numbers. The binary division is similar to the division of decimal numbers, while in the case of decimal numbers, there were 0-9, 10 digits. Here, in the case of binary numbers, there are only two digits 0 and 1.The long division method is one of the significant methods used in binary division. Definition Binary Numbers: The word ‘bi’ means two so, it is a number system that is used ...
Read MoreBinomial Theorem for Positive Integral Indices
Introduction Binomial Theorem for Positive Integral Indices states that “the total number of terms in the expansion is one more than the index”. The nth row of this array gives the coefficients in the expansion of $\mathrm{(a\:+\:b)^{n}}$ in descending powers of a and ascending powers of b; this array is known as the Pascal’s triangle after French mathematician Blaise Pascal (1623-1662). The triangle is, in fact, much older; it appeared as early as in 1303 in the works of the Chinese mathematician Chu Shin-Chien. Indeed, this was described by Indian mathematician Halayudha in 10th century A.D. as Meru Prastara, 700 ...
Read MoreBisection Method
Introduction The bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs . There are different ways to find the roots of different equations(like simple, quadratic) and functions. Bisection method is the way to find the roots of a function which is polynomial in nature. This method is quite interesting. We first select an interval or range where the roots may lie, then we bisect and go on dividing the interval into a number of sub intervals until we finally reach the root. The main idea of this method ...
Read MoreCoincident Lines
Introduction Coincident lines are the lines that are on top of each other. The term "coincide" refers to something happening at the same time. In mathematics, coincident lines are lines that lie on top of each other so that when we look at them, they appear to be a single line rather than double or multiple lines. Parallel lines are lines that are parallel to each other and have a predetermined distance between them. Perpendicular lines, on the other hand, are lines that intersect at a 90- degree angle. However, parallel and perpendicular lines do not coincide. In this tutorial, ...
Read MoreData Handling and Data Representation
Introduction Data handling and data representation are the processes of collecting and presentation of data systematically. Data handling is the act of collecting a set of data and presenting it in various formats data handling. The act of collecting, maintaining, and presenting data in a way that facilitates analysis, forecasting, and decision-making is known as data handling. Here in this tutorial, we shall discuss in brief data handling, central tendencies, frequency tables, how to represent data in graphs, and examples related to data handling. What is Data Handling? The initial collection of observations is referred to as the raw data. ...
Read MoreBillion in Rupees
Introduction One billion can be written as 1 , 000 , 000 , 000 . In mathematics, place value can be used to define numbers. There are two different ways to represent the place value of the digits in the numbers. The positional values of the number are determined using place value charts. Positions allow for the expansion of the numbers in the general form. In this tutorial, we will learn about billions in rupees, the number system, and the conversion of the number system. Number Systems Number systems are mathematical expressions of numbers in various ways that computers ...
Read MoreChord of a Circle, Its Length and Theorems
Introduction A chord is a line segment connecting any two points located on the circumference of the circle . The circle is a well-known two-dimensional shape used in Euclidean geometry. It has various components, including chord, radius, diameter, etc. In this tutorial, we will discuss the definition, formulae, and some theorems related to the chord of a circle. Circles The circle is a two-dimensional figure drawn on a plane in such a way that each point on the circle is equidistant to a fixed point. The fixed point is known as the center of the circle. The dimension of ...
Read MoreCompleting the Square Method
Introduction Completing the square is an algebraic technique for writing a quadratic expression that contains the perfect square . The Quadratic Formula is the most basic method for determining the roots of a quadratic equation. Certain quadratic equations cannot be easily factorised, and in these cases, we can use this quadratic formula to find the roots as quickly as possible. The roots of the quadratic equation also aid in determining the sum and product of the roots of the quadratic equation. The quadratic formula's two roots are presented as a single expression. The positive and negative signs can be used ...
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