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Introduction Difference between natural and whole numbers is natural number is used to count objects ad whole numbers include 0 and natural numbers. Numerous other types of numbers exist, including whole numbers, natural numbers, integers, rational and irrational numbers, real and complex numbers, and integers. Students may find it puzzling more frequently than not, causing them to mix up one with the other. Particularly in the natural numbers and whole numbers, since both of them resemble one another somewhat. Therefore, it is crucial that the students comprehend both whole numbers and natural numbers in detail. In this tutorial, we ... Read More
Introduction Disjoint sets can be used for a number of math problems but specifically in data structures. In set theory, disjoint sets are two sets which do not share any common observations. In other words, if we take the intersection of two sets and the resulting set is an empty set then the sets are said to be disjoint.. In this tutorial, we will learn what are sets, disjoint sets, and conditions for sets to be disjoint along with some of the solved examples. Sets A set is a collection of elements or observations for mathematical modelling. Elements of a ... Read More
Introduction A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue. We encounter factors and multiples regularly. In the tutorial, we will discuss more Prime and composite number factors, HCF of at least two numbers and we shall solve a few related examples. What is Factor? In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftovers. For instance, they are employed while handling money, sorting objects into groups, looking for patterns in numbers, resolving ratios, and expanding or contracting fractions. We can employ a variety ... Read More
Introduction A variable is used to represent an unknown value in an equation. In algebra, we can use the four basic operations addition (+), subtraction (-), multiplication (×), and division (÷) same as arithmetic. In algebra, terms are mathematical expressions that are made of two different parts: the number part and the variable part. In a term, the number part and variable part are multiplied together and written without a multiplication symbol. Terms can have any number of variables Expressions An expression consisting of one or more terms in which variables may have anything as power, including positive, negative, ... Read More
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