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After this pre-computing step, a query RMQ A (l,r) can now be answered in constant time by splitting it into two separate queries: one is the pre-computed query with range from l to the largest memoized value smaller than r. The other is the query of an interval of the same length that has r as its right boundary. These intervals may overlap ...
For example, to find the character at i=10 in Figure 2.1 shown on the right, start at the root node (A), find that 22 is greater than 10 and there is a left child, so go to the left child (B). 9 is less than 10, so subtract 9 from 10 (leaving i=1) and go to the right child (D). Then because 6 is greater than 1 and there's a left child, go to ...
1.4 m – length of a Peel P50, the world's smallest car; 1.435 m – standard gauge of railway track used by about 60% of railways in the world = 4 ft 8 1 ⁄ 2 in; 2.5 m – distance from the floor to the ceiling in an average residential house [118] 2.7 m – length of the Starr Bumble Bee II, the smallest plane
A string half the length (1/2), four times the tension (4), or one-quarter the mass per length (1/4) is an octave higher (2/1). If the tension on a string is ten lbs., it must be increased to 40 lbs. for a pitch an octave higher. [1]
In mathematics, and particularly in the theory of formal languages, shortlex is a total ordering for finite sequences of objects that can themselves be totally ordered. In the shortlex ordering, sequences are primarily sorted by cardinality (length) with the shortest sequences first, and sequences of the same length are sorted into lexicographical order. [1]
Below: In S′ the distance between the spaceships increases, while the string length stays the same. Bell's spaceship paradox is a thought experiment in special relativity. It was first described by E. Dewan and M. Beran in 1959 [1] but became more widely known after John Stewart Bell elaborated the idea further in 1976. [2]
Simply put, invisible string theory suggests that everyone has someone in their lives who is attached to them by an unbreakable string that transcends time, distance, and geography, says Engle.
In string theories of particle physics, the strings are very tiny; much smaller than can be observed in today's particle accelerators. The characteristic length scale of strings is typically on the order of the Planck length, about 10 −35 meter, the scale at which the effects of quantum gravity are believed to become significant. Therefore on ...