Found 454 Articles for Mathematics

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 More

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 More

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 More

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 More

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 More

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 More

Introduction Even numbers are numbers in the form of n = 2k, which means the number which can be divided by 2. Mathematics is a branch of science that arose due to the needs of man for calculation in business, knowing the relationship between numbers, measuring the land, in predicting cosmic events. Mathematics is used as an important tool in many fields of the world such as natural sciences, engineering, medicine, finance, and social sciences. Applied mathematics deals with the use of mathematics in other fields to stimulate and apply new scientific discoveries. Mathematics is not only numbers and their ... Read More

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 More

Introduction Linear equations have numerous applications in mathematics. An equation may be defined as an algebraic expression equated to constant or other expressions. An equation with the highest exponential power of variables equal to one is called a linear equation. Mathematical expressions can be used to solve word problems. Mathematical knowledge is usually applied through word problems coded in the form of expressions. In this tutorial, we will understand linear equations, algebra of linear equations, solving linear equations, one equation, one variable, two equations, two variables, and some solved examples. Linear Equations An equation consisting of one or more variables ... Read More

Introduction Angles of a parallelogram ‘s sum is 360 degrees. A parallelogram has four interior angles, and the total of those interior angles is always 360°. In a parallelogram, the adjacent angles are supplementary, and the opposing angles are equal. Let's read in greater detail about the characteristics of a parallelogram's angles. Following is the geometrical figure parallelogram IJKL in which $\mathrm{IJ\:=\:LK\:}$ & $\mathrm{JK\:=\:IL}$ $$\mathrm{IJ\:\rVert\:LK\:\:, \:JK\rVert\:IL}$$ that is opposite edges are equal and parallel and diagonals are bisectors of each other they intersect at the point O. In parallelogram opposite angles are of the same measure i.e., $\mathrm{\angle\:I=\:\angle\:k}$ & ... Read More