linearite

Example:The linear relationship between temperature and the volume of a gas can be described by Charles's Law.

Definition:A relationship between two variables where one variable can be represented as a straight line when plotted against the other. It implies a constant rate of change.

Example:The equation 2x + 3y = 6 is a linear equation.

Definition:An algebraic equation in which each term is either a constant or the product of a constant and a single variable to the power of one. It forms a straight line when graphed.

Example:An arithmetic sequence like 2, 5, 8, 11 is an example of a linear progression.

Definition:A sequence of numbers in which each term after the first is obtained by adding a constant to the preceding term. It forms a straight line when plotted on a graph.

Example:The vector (4, 5) can be seen as a linear combination of (2, 0) and (0, 5).

Definition:A combination of vectors where each vector is multiplied by a scalar and the products are added together. It often appears in linear algebra.

Example:In a linear experiment, the effect of doubling the amount of a reactant directly doubles the rate of reaction, assuming other factors remain constant.

Definition:A principle in experimental design where the effects of different factors can be represented by linear relationships, allowing for predictable outcomes based on the factors involved.