One to One Function

Praveen Varghese Thomas
Updated on 18-Mar-2024 13:30:51

Introduction One to one functions that maps every element of the range to one element of its domain. Functions are defined as relationships between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or range. Functions are commonly represented by 𝑓 (𝑥), where x is the input. The general representation of a function is $$\mathrm{y\:=\:f(x)}$$ In a mathematical sense, these relationships can be described as one-to-one functions. In this case, the number of elements is the ... Read More

Odd Numbers

Praveen Varghese Thomas
Updated on 18-Mar-2024 13:29:56

Introduction Odd Numbers and even numbers are one of the many types of classification of numbers. The odd numbers are not even, and the numbers which are even are not odd. Both are inverse to each other. Odd and even numbers are differentiated by whether the number is divisible by 2 or the number is a multiple of 2. An odd number, when divided by two, leaves a remainder of 1. On the other side, an even number, when divided by 2, leaves a remainder of 0. Even numbers are divisible by two and multiples of 2. Example − ... Read More

Operations of Integers on Number Line

Praveen Varghese Thomas
Updated on 18-Mar-2024 13:03:46

Introduction Operations of integers such as addition, subtraction, multiplication, and division can be explained in the number line system. In our daily life, we need to perform various algebraic operations with numbers. There are various types of numbers used in mathematics. In specific, the integer is a special type of number widely used. The presentation and several mathematical operations of integers are necessary. In this tutorial, we will learn about the number systems, integers, their presentation on the number line, comparison and operation of the integers on the number line with solved examples. Number System A number is a mathematical ... Read More

Operations on Rational Numbers

Praveen Varghese Thomas
Updated on 18-Mar-2024 12:49:21

Introduction Operations on rational numbers such as basic operations like addition, subtraction, multiplication and division. Rational numbers are fractions containing a numerator and a denominator (the denominator should be a non-zero integer). In algebra, rational numbers are used in various science, mathematics, and economics sectors. Moreover, various operations such as addition, subtraction, division, and multiplication are necessary to obtain a third rational number. All these operations are quite different from the algebraic operations of integers. In this tutorial, we will discuss number systems, rational numbers, comparison between rational numbers, and their various operations with solved examples. Number System A number ... Read More

Ordinate

Praveen Varghese Thomas
Updated on 18-Mar-2024 12:44:05

Introduction Ordinate is the second component in the ordered pair (x, y). There are two major branches of mathematics, including algebra and geometry. Both have separate uses and applications. However, the French mathematician Rene Descartes derived a concept through the combination of algebra and geometry. This concept helps us to express the location of any object, point, or line in the coordinate system. However, there are various topics included in the coordinate system. In this tutorial, we will learn about the coordinate system, the cartesian plane, its components (ordinate and abscissa), and some basic formulas with solved examples. Coordinate System ... Read More

Kjeldahl Method

Praveen Varghese Thomas
Updated on 18-Mar-2024 12:07:37

Introduction The determination of nitrogen content or determining protein content in samples such as food was a major issue some years ago. The method that already existed some years ago was not so accurate. That is a proper method was not discovered at that time. Later the Danish chemist Johan Gustav Christoffer Thorsager Kjeldahl developed a laboratory method for the determination of Nitrogen because the existing method at that time was very much inaccurate. The method he introduced was given the name Kjeldahl method after him. The method he first introduced contains two steps that are distillation and back titration. ... Read More

Krypton

Praveen Varghese Thomas
Updated on 18-Mar-2024 12:05:51

Introduction Krypton is an element present along with the noble gases in the periodic table with the symbol Kr. It is an important element in the p block with the atomic number 36. The discovery of elements continued to be very important in chemistry. The extraction of argon gas from air is one of the important discoveries made by scientists. The discovery of argon made scientists think about the existence of a group of elements with similar properties as argon. They even say that some other elements may be hidden in the argon gas. Therefore, liquefaction and evaporation lead ... Read More

Uses and Advantages of Natural Gas

Praveen Varghese Thomas
Updated on 18-Mar-2024 12:04:09

Introduction Natural gas would be a naturally occurring substance composed largely of methane, with negligible concentrations of various higher alkanes and, in exceptional cases, CO2, N2, H2 S, as well as He. Deep under the earth's crust, with additional solid-liquid hydrocarbon resources such as coal as well as crude oil, Natural Gas Reserves could be found. This seems to be a fossil fuel which could be used for preparing food, heating, as well as electricity production, along with many other purposes. Natural gas is indeed a non-renewable form of energy often used to power cars. What is Natural Gas? Natural ... Read More

Importance of Air

Praveen Varghese Thomas
Updated on 18-Mar-2024 11:59:47

Introduction It is readily possible to find air, which is a gift of nature. It is a crucial component of nature that renders life on earth conceivable. Atmospheric pressure is established by the heaviness of the air. The percentages of the several gases that make up air are as follows: the presence of carbon dioxide is 0.04%, argon is 9%, oxygen is 21%, nitrogen is 78%, and extremely trace amounts of certain other gases and water vapour. Animals ought to absorb the oxygen-rich air to engage in aerobic respiration. CO2 is demanded by plants for the photosynthetic process. What is ... Read More

Intensive and Extensive Properties of Matter

Praveen Varghese Thomas
Updated on 18-Mar-2024 11:24:24

Introduction The matter is everything that surrounds us and engrosses space. It has different properties. These properties are defined as intensive and extensive properties of matter, in 1917 these terms were first used by the scientist Richard C. Tolman. Intensive properties do not depend upon the quantity of matter. Extensive properties rely on the quantity of the matter. Example: Milk filled in a glass or milk filled in a jug. The extensive properties like (mass, and volume) of milk vary for both the glass and jug while the intensive properties (temperature) remain the same. What are the Intensive Properties ... Read More

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