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In mathematics and statistics, a quantitative variable may be continuous or discrete if it is typically obtained by measuring or counting, respectively. [1] If it can take on two particular real values such that it can also take on all real values between them (including values that are arbitrarily or infinitesimally close together), the variable is continuous in that interval. [2]
On the other hand, if X is equipped with the indiscrete topology (in which the only open subsets are the empty set and X) and the space T set is at least T 0, then the only continuous functions are the constant functions. Conversely, any function whose codomain is indiscrete is continuous.
In statistics, the mode is the value that appears most often in a set of data values. [1] If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value (i.e., x=argmax x i P(X = x i)).
For other languages and symbol sets (especially in mathematics and science), see below This article contains special characters . Without proper rendering support , you may see question marks, boxes, or other symbols .
In physics, for example, the space-time continuum model describes space and time as part of the same continuum rather than as separate entities. A spectrum in physics, such as the electromagnetic spectrum, is often termed as either continuous (with energy at all wavelengths) or discrete (energy at only certain wavelengths).
In other words, there exists a real ... literally 'small pebble', used for counting and calculations, as on an abacus) [8] is the mathematical study of continuous ...
In other words, the graph of f has a non-vertical tangent line at the point (x 0, f(x 0)). f is said to be differentiable on U if it is differentiable at every point of U. f is said to be continuously differentiable if its derivative is also a continuous function over the domain of the function .
Using these default continuous verbs together with a non-default continuous verb makes both continuous. This is a form also used in other Germanic languages such as Norwegian and Dutch. For instance: Han står og ryger ("he stands and smokes") means "he is smoking (while standing)". Another form is used for motions such as walking, driving or ...