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In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
Interval scheduling is a class of problems in computer science, particularly in the area of algorithm design. The problems consider a set of tasks. The problems consider a set of tasks. Each task is represented by an interval describing the time in which it needs to be processed by some machine (or, equivalently, scheduled on some resource).
Given a set I of intervals, or segments, a segment tree T for I is structured as follows: T is a binary tree. Its leaves correspond to the elementary intervals induced by the endpoints in I, in an ordered way: the leftmost leaf corresponds to the leftmost interval, and so on. The elementary interval corresponding to a leaf v is denoted Int(v).
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All-interval tetrachords (Play ⓘ). An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. [1] There are only two possible all-interval tetrachords (to within inversion), when expressed in prime form. In set theory notation, these are [0,1,4,6] (4-Z15) [2] and [0,1,3,7] (4-Z29). [3]
Equal class intervals are preferred in frequency distribution, while unequal class intervals (for example logarithmic intervals) may be necessary in certain situations to produce a good spread of observations between the classes and avoid a large number of empty, or almost empty classes. [2] Decide the individual class limits and select a ...
The intervals in and are recursively divided in the same manner until there are no intervals left. The intervals in that overlap the center point are stored in a separate data structure linked to the node in the interval tree. This data structure consists of two lists, one containing all the intervals sorted by their beginning points, and ...
is a single-parametric interval classifier on real numbers; i.e., for a certain parameter , the classifier returns 1 if the input number is in the interval [, +] and 0 otherwise. The VC dimension of f {\displaystyle f} is 2 because: (a) It can shatter some sets of two points.