Tag: Mathematics

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

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

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

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

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

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

To answer the question How many tenths can fit in a unit ?, it is necessary first to know the definition of “tenth”. The origin of this word lies on the definition of Decimal Fraction, which is a fraction whose denominator is a multiple of 10. When the power of 10 has an exponent equal to

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

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

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