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It has tens of thousands of citations, being one of the most influential and cited scientific papers of all time, [6] as it gave rise to the field of information theory, with Scientific American referring to the paper as the "Magna Carta of the Information Age", [7] while the electrical engineer Robert G. Gallager called the paper a "blueprint ...
Asymmetric warfare (or asymmetric engagement) is a type of war between belligerents whose relative military power, strategy or tactics differ significantly. This type of warfare often, but not necessarily, involves insurgents, terrorist groups, or resistance militias operating within territory mostly controlled by the superior force.
In modern warfare, to take into account that to some extent both linear and the square apply often, an exponent of 1.5 is used. [11] [12] [3]: 7-5–7-8 Lanchester's laws have also been used to model guerrilla warfare. [13] The laws have also been applied to repeat battles with a range of inter-battle reinforcement strategies. [14]
For example, a logarithm of base 2 8 = 256 will produce a measurement in bytes per symbol, and a logarithm of base 10 will produce a measurement in decimal digits (or hartleys) per symbol. Intuitively, the entropy H X of a discrete random variable X is a measure of the amount of uncertainty associated with the value of X when only its ...
Mean field game theory is the study of strategic decision making in very large populations of small interacting agents. This class of problems was considered in the economics literature by Boyan Jovanovic and Robert W. Rosenthal, in the engineering literature by Peter E. Caines, and by mathematicians Pierre-Louis Lions and Jean-Michel Lasry.
Cooperative behavior of many animals can be understood as an example of the iterated prisoner's dilemma. Often animals engage in long-term partnerships; for example, guppies inspect predators cooperatively in groups, and they are thought to punish non-cooperative inspectors. [29] Vampire bats are social animals that engage in reciprocal food ...
Burnside's lemma can compute the number of rotationally distinct colourings of the faces of a cube using three colours.. Let X be the set of 3 6 possible face color combinations that can be applied to a fixed cube, and let the rotation group G of the cube act on X by moving the colored faces: two colorings in X belong to the same orbit precisely when one is a rotation of the other.
The root system of the exceptional Lie group E 8. Lie groups have many symmetries. Symmetry occurs not only in geometry, but also in other branches of mathematics. Symmetry is a type of invariance: the property that a mathematical object remains unchanged under a set of operations or transformations. [1]