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Technical articles with clear explanations and examples
Annulus
Introduction Annulus (plural annuli or annuluses)The area between two concentric circles. The Latin word annulus, or annulus, which means "small ring, " is where the name "annulus" originates. Annular is the adjectival form (as in annular eclipse). The open annulus and the perforated plane are topologically equal to one another. An annulus is an interior space between two concentric circles or circles with more than two centres of rotation. This article will teach you about the several mathematical uses of the annulus, which has a ring-like shape. Examples from everyday life include finger rings, doughnuts, and more. For a better ...
Read MoreCentroid
Introduction The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. In this tutorial, we will learn about Centroid, and other centres of triangles and the relationship between them. What is Centroid? The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. It is a point that is determined by taking the arithmetic mean of all the points on the plane surface as its location. The term "centroid" also refers to the centre of gravity. Locating centroid of triangle − The point where the triangle's three medians intersect ...
Read MoreChance and Probability
Introduction Chance and Probability are very similar to each other. The concept of experiment has a profound presence, structurally, in the fundamentals of the theory of probability. The main concept of the probabilistic approach in any scientific thought is simply to judge the nature of the experiments through which the thought itself may acquire a strong foothold. This sort of judgment is, however made in terms of the likelihood of something appearing as the result of an experiment. It is true that an observation or a test is usually initiated with an intense hope that it will be ended up ...
Read MoreCos 0
Introduction Cos 0 has a value of 1. When the angle of a right triangle equals zero degrees, a number known as the cosine of angle zero degrees reflects the ratio of the length of the neighbouring side to the length of the hypotenuse. The precise value of the cosine of angle 0 degrees is equal to 1, and the cos of angle 0 degrees is expressed as cos (0) in the sexagesimal notation. Trigonometric Functions The trigonometric functions in mathematics are real functions that connect the angle of a right-angled triangle to the ratios of its two ...
Read MoreCurved Line
Introduction A curved line is simply that line which is not straight but has bent. We can see curves in our day to day lives. In fact, most of the things of nature are some or the other kinds of curves. A curve is defined as a curved line rather than a straight line. Ideally, straight lines have zero curvature, but curves have non-zero curvature, and are continuous and smooth. Curves are prominent shapes that we see all around us. You can find curves in works of art, ornaments, or everyday objects. Curves are shapes that appear all around us. ...
Read MoreTangent of a Circle
Introduction Tangent to a circle is line that touches circle at one point. A collection of points that are equidistant from a fixed point is called a circle whereas a straight group of points in a plane is called a line. In geometry, if a line in the same plane as that of the circle, touches the circumference of the circle outside the circle at exactly one point, that is, there is only one point of intersection between the two, then that line is called a tangent of the circle. Infinite number of such lines can be drawn from a ...
Read MoreCalculus
Calculus has two main branches, Differential Calculus, and Integral Calculus. Differential Calculus is the branch of calculus that deals with limits, continuity, derivatives, and differentiability. Continuity is defined as the property of a function to have a non breaking graph i.e. limit of the function exists at all the points in the domain and differentiability is the property of the function to have a derivative at all the points in the domain. Whereas the Integral calculus is the branch of calculus that deals with integration and the area under the curve of a function. Integrations are the exact opposite of ...
Read MoreCategorical Data
Introduction Categorical data is data divided into categories. Statistical information made up of categorical variables—data that have been divided into categories—is known as categorical data. A set of grouped data is one example. More specifically, countable qualitative data or quantitative data clustered within predetermined intervals could be used to create category data. The information is condensed into a probability table. However, when we examine data analysis, it is referred to use the phrase “categorical data”, which is used for data sets. It should be noted that although the data set includes some categorical variables, it may also include non-categorical ...
Read MoreEquilateral Triangle
Introduction Equilateral triangle is a triangle in which all three sides have the same length . Triangle traces can be found all over the world, especially in architecture. They were well-liked by the ancient Egyptians. Triangles are divided into three types based on the length of their sides. The triangles are isosceles, scalene, and equilateral. An Equilateral triangle is a triangle with three equal sides and angles. As each angle of an equilateral triangle is 60 degrees, it is also referred to as an equiangular triangle. The opposite side of an equilateral triangle is divided into equal lengths by a ...
Read MorePrinciple of Mathematical Induction
Introduction Mathematical induction involves principles which are a specific technique to prove theorems and statements in algebra which are expressed in the form of n; where n belongs to natural numbers. In mathematical induction any statement is proved for n=1 and then for any variable. What is PMI? Mathematical Induction can be described as a tool to prove any statement A(n) which can hold for natural numbers n=1, 2, 3, 4, 5......n. Mathematical Induction is based on some principles called the principle of mathematical induction (PMI). In order to prove a result for a statement A(n), we can use the ...
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