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5.1 Example 1. 5.2 Example 2. 6 See also. ... Rule of contraction ... showing a basic rule of inference. Examples:
When the movement rule applies, it moves the auxiliary to the beginning of the sentence. [ 5 ] An alternative analysis does not acknowledge the binary division of the clause into subject NP and predicate VP, but rather it places the finite verb as the root of the entire sentence and views the subject as switching to the other side of the finite ...
An induction shock produces a contraction or fails to do so according to its strength; if it does so at all, it produces the greatest contraction that can be produced by any strength of stimulus in the condition of the muscle at the time. This principle was later found to be present in skeletal muscle by Keith Lucas in 1909. [1]
In logic, a substructural logic is a logic lacking one of the usual structural rules (e.g. of classical and intuitionistic logic), such as weakening, contraction, exchange or associativity. Two of the more significant substructural logics are relevance logic and linear logic .
Wick's theorem is a method of reducing high-order derivatives to a combinatorics problem. [1] It is named after Italian physicist Gian Carlo Wick. [2] It is used extensively in quantum field theory to reduce arbitrary products of creation and annihilation operators to sums of products of pairs of these operators.
A logic without any of the above structural rules would interpret the sides of a sequent as pure sequences; with exchange, they can be considered to be multisets; and with both contraction and exchange they can be considered to be sets. These are not the only possible structural rules. A famous structural rule is known as cut. [1]
The interior product is defined to be the contraction of a differential form ... The above relation says that the interior product obeys a graded Leibniz rule. An ...
Two contractions T 1 and T 2 are said to be quasi-similar when there are bounded operators A, B with trivial kernel and dense range such that =, =. The following properties of a contraction T are preserved under quasi-similarity: being unitary; being completely non-unitary