lineárního

Linear is a term used in various fields to describe a relationship or characteristic that can be represented by a straight line. In mathematics, a linear function is a function whose graph is a straight line. This means that for a given change in the input, there is a proportional change in the output. Linear equations, such as y = mx + b, represent these relationships, where 'm' is the slope of the line and 'b' is the y-intercept. The concept of linearity is fundamental in algebra and calculus, forming the basis for many more complex mathematical ideas.

Beyond mathematics, the term linear is also applied in physics to describe phenomena that behave in a straightforward, proportional manner. For instance, a linear relationship in physics might describe how the extension of a spring is directly proportional to the force applied to it (Hooke's Law). In engineering, linear systems are those where the output is directly proportional to the input, and they obey the principle of superposition. This simplifies analysis and design processes.

In computer science, a linear search is a simple algorithm that checks each element of a list sequentially until a match is found or the end of the list is reached. The time complexity of a linear search is O(n), meaning the time it takes to complete grows linearly with the size of the list. The term "linear" emphasizes a direct, uncurved, or non-accelerating progression or relationship.