# Tag: Mathematics

## Euler Number Or E Number: How Much It Is Worth, Properties, Applications

The Euler number or number e is a well-known mathematical constant that appears frequently in numerous scientific and economic applications, along with the number π and other important numbers in mathematics. A scientific calculator returns the following value for the number e: e = 2.718281828 … But many more decimals are known, for example: e

## Imaginary Numbers: Properties, Applications, Examples

The imaginary numbersare those that give a solution to the equation in which the unknown, squared, is equal to a negative real number. The imaginary unit isi = √ (-1). In the equation: z 2 = – a, z is an imaginary number that is expressed as follows:  z = √ (-a) = i√ (a) Being toa

## Trigonometric Identities (examples And Exercises)

The trigonometric identities are relationships between trigonometric ratios, which are true for any value of the variable. For example: tan θ = sin θ / cos θ It is a trigonometric identity that relates three ratios of the angle θ, the tangent, the sine and the cosine of said angle. This identity is true for

## Conic Sections: Types, Applications, Examples

The conic sections are the curves obtained by intercepting a plane with a cone. There are several ways to do this; for example, if the plane is made to pass perpendicular to the axial axis of the cone, a circumference is obtained. By tilting the plane a little with respect to the axial axis of

## Morgan’s Laws

The l eyes of Morgan are inference rules used in propositional logic, which establish what the result of denying a disjunction and a conjunction of propositions or propositional variables. These laws were defined by the mathematician Augustus De Morgan. Morgan’s laws represent a very useful tool to demonstrate the validity of mathematical reasoning. Later they

## Circular Permutations: Demonstration, Examples, Solved Exercises

The  circular permutations  are different types of groupings of all elements of a set, when they are to be arranged in circles. In this type of permutation the order matters and the elements are not repeated. For example, suppose you want to know the number of distinct arrays of digits one through four, placing each

## Analytical Geometry: What Studies, History, Applications

The analytic geometry studies lines and geometric shapes by applying basic algebra techniques and mathematical analysis in a given coordinate system. Consequently, analytical geometry is a branch of mathematics that analyzes in detail all the data of geometric figures, that is, the volume, the angles, the area, the points of intersection, their distances, among others.

## Quadrangular Prism: Formula And Volume, Characteristics

A quadrangular prism is one whose surface is formed by two equal bases that are quadrilaterals and by four lateral faces that are parallelograms. They can be classified according to their angle of inclination, as well as the shape of their base. A prism is an irregular geometric body that has flat faces and these

## Laplace Transform: Definition, History And What It Is For

The Laplace transform has been in recent years of great importance in engineering studies, mathematics, physics, among other scientific areas, as well as being of great interest in theory, provides a simple way to solve problems that come from science and engineering. Originally the Laplace transform was presented by Pierre-Simón Laplace in his study on