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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
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.
Since has the dimension of action, i.e. momentum times length, it follows that in natural units mass =1/length, and so ′ has the unit of area. The slope α ′ {\displaystyle \alpha ^{\prime }} of a Regge trajectory α ( M 2 ) {\displaystyle \alpha (M^{2})} in Regge theory is the derivative of spin S {\displaystyle S} or angular momentum with ...
The smallest meaningful increment of time is the Planck time―the time light takes to traverse the Planck distance, many decimal orders of magnitude smaller than a second. [ 1 ] The largest realized amount of time, based on known scientific data, is the age of the universe , about 13.8 billion years—the time since the Big Bang as measured in ...
[2] String theory is a theoretical framework that attempts to address these questions. The starting point for string theory is the idea that the point-like particles of particle physics can also be modeled as one-dimensional objects called strings. String theory describes how strings propagate through space and interact with each other.
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]
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]
This definition implies that a string of length is a Lyndon word if and only if there exist Lyndon words and such that < and =. [4] Although there may be more than one choice of and with this property, there is a particular choice, called the standard factorization, in which is as long as possible.