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Mathematics Articles
Page 12 of 21
Curved 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 ...
Read MoreProbability And Statistics Symbols
Introduction Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance. When you toss a coin, it's tough to know in advance if a head or a tail will appear. When you can't predict the exact outcome, it's often useful to try to characterize every outcome that could occur along with a numerical description as to which are the most likely to occur. The numerical description you choose can be based on your experience, knowledge of physics, ...
Read MoreRectangular Pyramid
Introduction Rectangular Pyramid is a three-dimensional solid figure with a rectangular base and four triangular flat surfaces. There are many types of pyramids, such as the square pyramid, triangular pyramid, pentagonal pyramid, and hexagonal pyramid concerning the shapes of the base and the number of triangle surfaces. The surfaces of the pyramid are plane figures with straight lines, which can also be called polygons. If a solid figure is made up of polygons then it is called a polyhedron. Rectangular pyramids, or pyramids in general, are Polyhedrons. One of the common types of the pyramid is the rectangular pyramid. The ...
Read MoreAdditive Identity vs Multiplicative Identity
Introduction Additive Identity and Multiplicative Identity are two different identity properties of numbers. Addition & multiplication are basic arithmetic operations in mathematics. Addition is the process of adding things or number together whereas multiplication is the process of calculating the product of two or more numbers. It is a repetitive addition. For example, if a is multiplied by b, it means a is added itself to n times or vice versa. It is used to combine groups of equal size. Additive identity & multiplicative identity are properties of addition & multiplication. When we added a number to other numbers, the ...
Read MoreDenominator
Introduction A denominator is the number that appears below the horizontal line. In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The denominator is the fraction's divisor. In a fraction, the denominator is the number or integer that lies below the horizontal line. A fraction's numerator is above the line. If a denominator is equal to 0, the result is an indefinite value. In this tutorial, we will discuss the denominator, ...
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