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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 Process of formulation aldehydes are very important in organic chemistry which is made by bivalent bond in Carbon and Oxygen. Carbonyl compounds are two types, one is Aldehydes and the other one is Ketones. Carbonyl groups are those groups where Carbon and Hydrogen are connected, similarly, the compounds in which Carbon atoms are linked with two Carbon atoms known as Ketones. The Aldehyde group is defined as -CHO and Ketones are defined as CO. What Are Aldehydes? Figure 1 − Aldehydes Aldehydes are those composites where Carbon and Hydrogen are connected with Carbonyl groups whereas; Ketones are those ... Read More
Introduction Alkynes are generally consists of triple bond between two Carbon atoms at a time. These triply bonded compounds are insoluble in water but slightly soluble in polar solvent. Ethyne is very common in Alkynes consist of triple bond between two Carbon atoms. Components like, Ethyne, Propyne, Butyne, and Pentyne are commonly in Alkyne series. What are Alkynes? Alkynes are mainly hydrocarbons with one or more triple bond. The triple bond is also called Acetylene bond. Alkynes exist with general formula of CnH2n-2. Alkynes exist in nature. The earliest member of this family is Ethyne C2H2, has a triple bond ... Read More
Introduction Aniline Yellow is a derivative product of Azobenzene It. has appearance of orange colour in powder form. It was first prepared by C. Mene in 1861. In the year of 1864 it was commercialized as first Azo dye. It is slightly soluble in water and soluble in Ethanol, Benzene, and oil. It is a weak base and forms a salt with Mineral acids. What is Aniline Yellow? Aniline Yellow is called Aamino Azobenzene obtained by an easiest coupling reaction.of azo dye. This dye has no industrial significance due to acid sensitive nature. Figure1 − Chemical Formula of Aniline ... Read More
Introduction Ferrous Ammonium Sulphate is an inorganic compound. It is mostly used in Analytical Chemistry. Its inhalation causes body irritation, harmful to nose and throat, as well as causes diarrhoea. It weighs around 1.86 g/cm3 in standard conditions. Mohr’s Salt solutions are slightly acidic in nature. Sulphuric acid prevents oxidation of Ferrous ions in the solution of Mohr’s Salt. What is Ferrous Ammonium Sulphate? Ferrous Ammonium Sulphate is also called Mohr’s Salt. It is used as a common laboratory reagent since it easily undergoes Crystallisation. Mohr’s Salt ' is commonly extracted from Mohrite mineral. Mohr’s salt belongs to the family ... Read More