# Tag: Mathematics

## Hexagonal Pyramid: Definition, Characteristics And Examples

A hexagonal pyramid is a polyhedron formed by a hexagon, which is the base, and six triangles that start from the vertices of the hexagon and meet at a point outside the plane that contains the base. This point of concurrency is known as the vertex or apex of the pyramid. A polyhedron is a

## Scalene Trapezoid: Properties, Formulas And Equations, Examples

A scalene trapezoid  is a polygon with four sides, two of which are parallel to each other, and with its four interior angles of different measures. The quadrilateral ABCD is shown below, where sides AB and DC are parallel to each other. This is enough to make it a trapezoid, but also, the interior angles

## Theoretical Probability: How To Get It, Examples, Exercises

The theoretical (or Laplace) probability of an event E occurring that belongs to a sample space S, in which all events have the same probability of occurrence, is defined in mathematical notation as:P (E) = n (E) / N (S) Where P (E) is the probability, given as the quotient between the total number of

## 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