“gap”的概念、定义、翻译、参考文献-科学参考

gap

Electronics and Electrical Engineering

1. (forbidden band) See energy bands.
2. The space between the electrodes in any electron tube. A spark gap is a special arrangement of the electrodes so that a spark occurs if the voltage exceeds a predetermined value. A spark gap is often used to divert high-voltage surges and thereby protect a device.

Logic

1. An occasion in which a truth functional valuation is underdetermined and fails to assign a truth value to a formula $φ$ , i.e., when $v (φ)$ is undefined. Archetypal instances of truth value gaps are in the presentation of three-valued logic by mathematician Stephen Cole Kleene (1909–1994). Kleene generalized classical valuations from formulae to the set ${0, 1}$ , i.e., falsity and truth, by relaxing the condition of totality and admitting partial valuations to ${0, 1}$ as well. In such partial evaluations, there may be formulae $φ$ for which $v (φ)$ is not defined. Truth value gaps are related to a dual notion of a truth value glut, in which the evaluation of a formula is overdetermined
2. A truth value in a semantics for a deductive system $L$ serving as a formal representation of a gap. For example, in Kleene’s three valued semantics, the state of being undefined is represented by a novel truth value $\frac{1}{2}$ ; although $1$ and $0$ correspond to authentic semantic values while $\frac{1}{2}$ is only a semantic device.

Geology and Earth Sciences

Transverse valley that cuts through a ridge. It is termed a water gap when occupied by a stream; otherwise it is a wind gap. It may be a relic of an early stage in the development of a drainage pattern.

单词	gap
释义	gap Electronics and Electrical Engineering 1. (forbidden band) See energy bands. 2. The space between the electrodes in any electron tube. A spark gap is a special arrangement of the electrodes so that a spark occurs if the voltage exceeds a predetermined value. A spark gap is often used to divert high-voltage surges and thereby protect a device. Logic 1. An occasion in which a truth functional valuation is underdetermined and fails to assign a truth value to a formula $φ$ , i.e., when $v (φ)$ is undefined. Archetypal instances of truth value gaps are in the presentation of three-valued logic by mathematician Stephen Cole Kleene (1909–1994). Kleene generalized classical valuations from formulae to the set ${0, 1}$ , i.e., falsity and truth, by relaxing the condition of totality and admitting partial valuations to ${0, 1}$ as well. In such partial evaluations, there may be formulae $φ$ for which $v (φ)$ is not defined. Truth value gaps are related to a dual notion of a truth value glut, in which the evaluation of a formula is overdetermined 2. A truth value in a semantics for a deductive system $L$ serving as a formal representation of a gap. For example, in Kleene’s three valued semantics, the state of being undefined is represented by a novel truth value $\frac{1}{2}$ ; although $1$ and $0$ correspond to authentic semantic values while $\frac{1}{2}$ is only a semantic device. Geology and Earth Sciences Transverse valley that cuts through a ridge. It is termed a water gap when occupied by a stream; otherwise it is a wind gap. It may be a relic of an early stage in the development of a drainage pattern.
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