polynomiální

Polynomiální refers to anything related to polynomials. A polynomial is a mathematical expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. For example, 3x^2 - 5x + 2 is a polynomial. The degree of a polynomial is the highest exponent of the variable. In this example, the degree is 2. Polynomials can have one or more variables.

In mathematics, polynomials are fundamental. They are used extensively in algebra, calculus, and many other areas. Equations involving polynomials are called polynomial equations, and their solutions are known as roots. The study of polynomial equations and their properties is a significant branch of mathematics.

The term "polynomiální" can also appear in contexts like algorithms or functions. For instance, a "polynomiální časový algoritmus" is one whose running time is bounded by a polynomial function of the input size. Similarly, a "polynomiální funkce" is simply a function defined by a polynomial expression. Understanding polynomials is crucial for grasping these related concepts. The properties of polynomials, such as their continuity and differentiability, make them well-behaved and predictable in mathematical analysis.