The absolute value of a real number is the distance of the number from zero on the number line. It is denoted by two vertical bars surrounding the number, like |x|. More formally, the absolute value of a real number x is defined as: |x| = x, if x is greater than or equal to…
Power can refer to a variety of things depending on the context in which it is used. Here are a few possible interpretations: What is Required power Required power refers to the amount of power needed to perform a specific task or achieve a particular goal. In engineering and mechanics, required power is often calculated…
Logarithmic refers to a mathematical concept related to the logarithm function. The logarithm function is the inverse of the exponential function and is used to express the relationship between numbers in terms of their powers. In other words, the logarithm of a number is the power to which another fixed number, called the base, must…
Onto and one-to-one are both terms used to describe functions in mathematics. An onto function (also called a surjective function) is a function in which every element in the range is mapped to by at least one element in the domain. In other words, for every element y in the range, there exists at least…
Even and odd functions are two types of functions defined in mathematics. An even function is a function f(x) that satisfies the following property: f(-x) = f(x) for all x in the domain of the function. In other words, if you reflect the graph of an even function about the y-axis, the result is the…
In mathematics, the codomain of a function is the set of all possible values that the function can output or map to. It is the set of all possible values of the dependent variable of the function, which corresponds to the output of the function given a particular input. For example, if we have a…
Functions are mathematical objects that take one or more inputs and produce an output based on some rule or relationship between the inputs and the output. In other words, functions can be thought of as mappings that associate each input with a corresponding output. For example, consider the function f(x) = 2x + 1. This…
In mathematics, a relation is a set of ordered pairs that relate objects in some way. A function is a special type of relation where each input (also called the domain) has exactly one output (also called the range). More formally, a function f is a relation from a set A to a set B,…
In mathematics, an equivalence relation is a relation that satisfies three properties: reflexivity, symmetry, and transitivity. An equivalence relation is used to partition a set into disjoint subsets called equivalence classes. More specifically, let R be a relation on a set A. Then, R is an equivalence relation if and only if it satisfies the…
In mathematics, an ordered pair is a pair of objects, usually represented as (a, b), where the order of the objects matters. This means that (a, b) is not the same as (b, a) if a and b are distinct objects. Formally, an ordered pair (a, b) is defined as a set {a, {a, b}},…