Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Introduction Algebraic operations on complex numbers are given by arithmetic operations are addition, subtraction, multiplication, and division. Complex numbers make it simpler to find the square root of negative values. The concept of complex numbers was first presented when Hero of Alexandria, a Greek mathematician, attempted to compute the square root of a negative number in the first century. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration analysis, have made use of complex numbers. In this tutorial, we will discuss algebraic operations on complex numbers. Complex Numbers Real and imaginary numbers are ... Read More
Introduction Application of Integrals is applied in various fields like Mathematics, Science, Engineering etc. The application of integrals is widely seen in both mathematics and physics for various purposes. If integration is applied for an area under a curve or area between two curves it is called the geometrical application of integrals which also includes finding the volume of solid revolution, length of the curve, etc., If the integration is applied to find the centre of gravity, mass, momentum, displacement, the velocity of objects, etc., then it is called the physical application of integrals. In this ... Read More
Introduction Taylor series or Taylor expansion of a function is a finite sum of terms that are expressed in terms of the functions derivatives at a single point The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it. $$\mathrm{f(a)\:+\:\frac{f'(a)}{1!}(x\:-\:a)\:+\:\frac{f"(a)}{2!}(x\:-\:a)^{2}\:+\:\frac{f'''(a)}{3!}(x\:-\:a)^{3}\:+\:.......}$$ For a real value function f(x), where f'(a), f"(a), f"'(a), etc., stands for the derivative of the function at point a, the aforementioned Taylor series expansion is provided. The Taylor series is also known as ... Read More
Introduction The recursive function is a unique type of function used in coding. It is defined as the function that uses itself to execute the other terms. This function is generally used to determine the factorial number, palindrome number, power of a number, etc. In this tutorial, we will learn about the basic definition, recursively defined function, formulae for arithmetic, geometric sequences, and some solved examples. Recursive Definition The meaning of recursive is repeat or recall itself. In computing science, recurring occurs when a function repeats itself. A recursive function is defined as a code that is used ... Read More
Introduction The census is a process of methodically calculating, gathering, and recording data on a certain population. It is mostly utilized while gathering information on the country's population, housing censuses, and agricultural, business, and supply needs. In this tutorial, we will discuss census, categorical variables, and numerical data. Definition A census is, by definition, the process of carefully computing, compiling, and documenting information on a certain population. It is primarily used to gather data on the population, housing, agricultural, commercial, and supply demands of the nation. This information provided comprehensive details about the occupation, age factors, socioeconomic features, population ... Read More
Introduction Average is a single value that represents the complete group of values. Example: Average mark scored in a class is 80 %, average height in a country, average life span, average temperature in a particular area, etc. Average is classified into two groups majorly: They are mathematical average or mean and positional average. To find the positional average we can use median and mode. Average An average is the central value of the given set of values. Also, on average, the numerator is the sum of all given values, and the denominator is the total number of ... Read More
Introduction Area of similar triangles theorem help in establishing the relationship between the areas of two similar triangles. Geometric figures having the same shape and size are known as congruent figures. Eg: Any two circles with the same radii are congruent. Any two rectangles with the same length and breadth are congruent. But, geometric figures having the same shape but different sizes are known as similar figures. The congruent figures are always similar, but two similar figures need not be congruent. Eg: Any two circles are similar. Any two rectangles are similar. Similarity of triangles is represented ... Read More
Introduction The area under a curve between two points is found out by doing a definite integral between the two points. Among the various ways to calculate the area under the curve, the most popular method is the antiderivative method. By determining the equation for the curve, the boundaries of the curve, and the axis enclosing the curve the area under the curve can be calculated. There are formulas to find the area enclosed by a circle, square, rectangle, and other polygons, but the area under the curve can be used to find area for the shapes that do ... Read More
Introduction Average cost is the cost per unit manufactured in a production run. Economics is a branch of social science which studies the production, distribution & consumption of goods & services. It focuses on the behaviour & interacting economic agents & how the economy works. Cost is one of the important concepts in economics. Cost is an amount incurred for buying goods & services. The concept of cost is useful for calculating the profitable rate of operation of the firm. Also, it is useful for deciding the price of the product & sale channel. Also, it gives clarity to various ... Read More
Introduction Basic proportionality theorem was proposed by a famous Greek mathematician, Thales, hence, it is also referred to as the Thales theorem. Triangle is one of the basic geometrical shapes with three sides & three angles. In geometry you have studied different properties & theorems of the triangle. In this tutorial, we will study one of the most important properties i.e., similarity & basic proportionality theorem. Two triangles are said to be similar if their angles are congruent & corresponding sides are in proportion. '$\mathrm{\sim}$' symbol is used to represent similar triangles. There are several methods for finding whether triangles ... Read More