A homogeneous function is a continuous, differentiable function with only one real variable. Its basic form is f(x, y), with constants c, d, e, and f. Its definition includes the Weierstrass elliptic and triangle center functions. Pemberton and Rau’s textbook Mathematics for Economists describes this concept in detail. Chegg Study is another good resource, offering […]

## Hermitian Matrix

A hermitian matrix is a complex square matrix whose conjugate transpose is the same as the first eigenvalue of the given matrix. Its determinant is a real number, and the principal diagonal is connected to the first element of the first row by the last element of the second row. It is also known as […]

## The Definition and Range of the Greatest Integer Function

The greatest integer function is a tangent function. Its domain is a group of real numbers whose values are equal to x. The tangent functions are also known as step curves. The domain is the set of integers ranging from x to n. The largest element in the set is called the ‘greatest’ element. The’smallest’ […]

## Percent Composition

The Math Playground is an educational website that contains numerous games and interactive activities related to math. Its content is aligned with the Common Core State Standards and offers activities for grades 1 through 6. It is an ideal tool for classrooms because of its ease of use and many features. In addition to games, […]

## The Even and Odd Functions Integrals

An even or an odd function is a mathematical function that meets certain symmetry conditions. Its inverses are additive and its symmetry relationship is complete. The odd and even functions are important in various areas of mathematical analysis, including power series and Fourier series. However, if you are unfamiliar with these terms, read on to […]

## Equivalence Relationship

The axiom of equivalence states that all numbers are equal to themselves. The same is true for any pair of equalities, as well as for any set of equalities. This is the key to the existence of equivalence relations. They also capture three of the four properties of a mathematical relationship. These properties make equivalence […]

## Equality of Matrixes

Equality of matrices can be defined as the properties that a pair of matrices have in common. If two matrices have the same elements and dimensions, and their corresponding positions are equal, then these axes are parallel and their values must be equal. This property applies to all matrices, including multidimensional ones. The following examples […]

## The Elimination Method Definition

The elimination method is an approach to solve systems of equations in which multiplication is not necessary. It can also solve problems with systems with infinite number of solutions. The main advantage of the elimination method is that it can solve problems that require application. It uses the addition property of equality, which lets you […]

## Dot Product Worksheet

The dot product, also known as a scalar product, is a math operation that returns one number as a result. The dot-product of two vectors with Cartesian coordinates is commonly used in Euclidean geometry. A dot product is an algebraic operation that returns a single number. To understand how to use the dot-product, let’s look […]

## Multiplication and Division of Algebraic Expressions

A polynomial is divided by its monomial in its denominator. In this article, we will see the different methods of factorization and division of algebraic expressions. In the process of quoting a polynomial, we find the variable or coefficient whose value equals the quotient of the two monomials. This is the inverse of the multiplication […]