" Sunstein, now a professor at Harvard Law School, said on Twitter that Thaler was "an unboundedly rational choice for the Nobel.
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Later, in the Turkish Ottoman era, the invading forces unboundedly hunted and destroyed the stock of game, thus decreasing it in Tolna region. In the 18th century, after the Turkish occupation, the hunting of the local game stock was regenerated and it operated as a type of protective, preventive action for pest control. At that time, hunting rights belonged to the nobleman who owned the land and later were connected to the land ownership.
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"Michael Finnegan" (variant spellings include Michael Finnagen and Michael Vinnegan) is an example of an unboundedly long song, which can continue with numerous variations until the singer decides (or is forced) to stop. Like most other perpetual songs, this song tends to be sung by schoolchildren. It is a popular song often sung around a campfire or during scouting events. The origin of the words and music is unknown, but the tune bears similarity to Here We Go Round the Mulberry Bush.
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If a graph does not have finite chromatic number, then the De Bruijn–Erdős theorem implies that it must contain finite subgraphs of every possible finite chromatic number. Researchers have also investigated other conditions on the subgraphs that are forced to occur in this case. For instance, unboundedly chromatic graphs must also contain every possible finite bipartite graph as a subgraph. However, they may have arbitrarily large odd girth, and therefore they may avoid any finite set of non-bipartite subgraphs.
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In probability theory, the matrix analytic method is a technique to compute the stationary probability distribution of a Markov chain which has a repeating structure (after some point) and a state space which grows unboundedly in no more than one dimension. Such models are often described as M/G/1 type Markov chains because they can describe transitions in an M/G/1 queue. The method is a more complicated version of the matrix geometric method and is the classical solution method for M/G/1 chains.
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Spaan et al. [1989] have argued that it is possible for an unboundedly nondeterministic program to solve the halting problem; their algorithm consists of two parts defined as follows: The first part of the program requests a natural number from the second part; after receiving it, it will iterate the desired Turing machine for that many steps, and accept or reject according to whether the machine has yet halted. The second part of the program nondeterministically chooses a natural number on request. The number is stored in a variable which is initialized to 0; then the program repeatedly chooses whether to increment the variable, or service the request.
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At Harvard, he continued as Junior Fellow in the Society of Fellows (1956–59), joined the faculty of applied physics (1959) and is currently the Gordon McKay Professor of Applied Physics & Professor of Physics. Wu has also had visiting appointments with Rockefeller University (1966), at the DESY in Hamburg, Germany (1971), at CERN in Geneva, Switzerland and Utrecht University (1977). He has studied statistical mechanics on Bose–Einstein condensation in an external potential, classical electromagnetic theory (1960). With Hung Cheng, he used gauge quantum field theory to predict the unboundedly increasing total scattering cross sections at very high energies, experimentally verified at CERN and Tevatron collider.
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Making a change to the initial state of a reversible cellular automaton may cause changes to later states to remain only within a bounded region, to propagate irregularly but unboundedly, or to spread quickly, and lists one-dimensional reversible cellular automaton rules exhibiting all three of these types of behavior. Later work by Wolfram identifies the one-dimensional Rule 37R automaton as being particularly interesting in this respect. When run on a finite array of cells with periodic boundary conditions, starting from a small seed of random cells centered within a larger empty neighborhood, it tends to fluctuate between ordered and chaotic states. However, with the same initial conditions on an unbounded set of cells its configurations tend to organize themselves into several types of simple moving particles.
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Deep inference names a general idea in structural proof theory that breaks with the classical sequent calculus by generalising the notion of structure to permit inference to occur in contexts of high structural complexity. The term deep inference is generally reserved for proof calculi where the structural complexity is unbounded; in this article we will use non-shallow inference to refer to calculi that have structural complexity greater than the sequent calculus, but not unboundedly so, although this is not at present established terminology. Deep inference is not important in logic outside of structural proof theory, since the phenomena that lead to the proposal of formal systems with deep inference are all related to the cut-elimination theorem. The first calculus of deep inference was proposed by Kurt Schütte,Kurt Schütte.
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Testing whether the Grundy number of a given graph is at least , for a fixed constant , can be performed in polynomial time, by searching for all possible -atoms that might be subgraphs of the given graph. However, this algorithm is not fixed-parameter tractable, because the exponent in its running time depends on . When is an input variable rather than a parameter, the problem is NP-complete.. The Grundy number is at most one plus the maximum degree of the graph, and it remains NP-complete to test whether it equals one plus the maximum degree.. There exists a constant such that it is NP-hard under randomized reductions to approximate the Grundy number to within an approximation ratio better than .. There is an exact exponential time algorithm for the Grundy number that runs in time . For trees, and graphs of bounded treewidth, the Grundy number may be unboundedly large.. Nevertheless, the Grundy number can be computed in polynomial time for trees, and is fixed-parameter tractable when parameterized by both the treewidth and the Grundy number,.
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