A relation that is defined for each element in its domain and for each input there is one and only one output.
A discrete function is either equivalent to infinite sequences (if aperiodic) or to finite sequences, n-tuples (if periodic). In engineering language, it is the same as the term "sampled function".
References: Fischer, J.V. On the Duality of Discrete and Periodic Functions. Mathematics 2015, 3, 299-318.
Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. Explicit Definition - A definition of a function by a formula in terms of the variable.
Discrete is something that is not continuous, or in other words. Not doing it continuous.
Siam
It is discrete bundles of energy.
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
Electronic Discrete Variable Automatic Computer.
A discrete semiconductor is an individual circuit that performs a single function affecting the flow of electrical current.
It is a function that gives the probabilities associated with the discrete number of values that a random variable can take.
A function that is linear, discrete, and increasing can be represented by the equation ( f(x) = mx + b ), where ( m > 0 ) (ensuring it is increasing) and ( x ) takes on discrete values, typically integers. In this case, the function will produce a series of points that form a straight line with positive slope when plotted. The discrete nature means that the function is only defined for specific values of ( x ), such as ( x = 0, 1, 2, \ldots ).
1.
data that can be counted, that does not show a change over time
Demand schedule: a list of demand/price equivalencies. It can best be seen as a table with discrete points. Demand function: a continuous function of price-demand interaction. Main difference: schedule is discrete; function is continuous.