Found 97 Articles for Other Articles

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 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 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 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 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 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 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 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 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 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