“cycle”的概念、定义、翻译、参考文献-科学参考

cycle

Physics

A regularly repeated set of changes to a system that brings back all its parameters to their original values once in every set of changes. The duration of one cycle is called its period and the rate of repetition of cycle, called the frequency, is measured in hertz. See simple harmonic motion.

Mathematics

A permutation f of a set S is a cycle if there are elements s₁, s₂,…, s_n such that f(s₁)= s₂, f (s₂)= s₃, ,,, f (s_n−₁)= s_n, f (s_n)= s₁ and f fixes all other elements. n is called the length of f and equals the order of f as an element of the symmetry group of S. The cycle f is denoted as (s₁ s₂… s_n).

Statistics

A repeating pattern in a time series; examples are annual and daily patterns.

Chemical Engineering

A series or sequence of periodic changes in which a system moves away and returns to its expected or normal condition or position. See thermodynamic cycles.

Computer

1. (cycle time) An interval of time in which one set of events or phenomena is completed. It is usually the time required for one cycle of the memory system—the time between successive accesses—of a computer, and is sometimes considered to be a measure of computer power.
2. Any set of operations that is repeated regularly and in the same sequence. The operations may be subject to variations on each repetition.
3. (circuit) of a graph. A path that starts and ends at the same vertex. A cycle is said to be simple provided no edge appears more than once, and is elementary if no vertex (other than the start) appears more than once. See also Euler cycle, Hamiltonian cycle.
4. A permutation of a set that maps some subset
$T = {t_{1}, t_{2}, \dots, t_{m}}$
of S in such a way that each t_i is mapped into t_i+1 (i = 1, 2,…, m−1) and t_m is mapped into t₁; the remaining elements of S are left unaltered by the permutation. Two cycles
$(u_{1} u_{2} \dots) and (v_{1} v_{2} \dots)$
are disjoint provided the sets
${u_{1}, u_{2}, \dots} and {v_{1}, v_{2} \dots}$
are disjoint. Every permutation of a set can be expressed uniquely as the composition of disjoint cycles.

Electronics and Electrical Engineering

One complete set of changes in the values of a recurring variable quantity that repeats regularly, such as an alternating current.

Economics

See business cycle; credit cycle; Kondratieff cycle; life cycle; stop–go cycle; trade cycle.

单词	cycle
释义	cycle Physics A regularly repeated set of changes to a system that brings back all its parameters to their original values once in every set of changes. The duration of one cycle is called its period and the rate of repetition of cycle, called the frequency, is measured in hertz. See simple harmonic motion. Mathematics A permutation f of a set S is a cycle if there are elements s₁, s₂,…, s_n such that f(s₁)= s₂, f (s₂)= s₃, ,,, f (s_n−₁)= s_n, f (s_n)= s₁ and f fixes all other elements. n is called the length of f and equals the order of f as an element of the symmetry group of S. The cycle f is denoted as (s₁ s₂… s_n). Statistics A repeating pattern in a time series; examples are annual and daily patterns. Chemical Engineering A series or sequence of periodic changes in which a system moves away and returns to its expected or normal condition or position. See thermodynamic cycles. Computer 1. (cycle time) An interval of time in which one set of events or phenomena is completed. It is usually the time required for one cycle of the memory system—the time between successive accesses—of a computer, and is sometimes considered to be a measure of computer power. 2. Any set of operations that is repeated regularly and in the same sequence. The operations may be subject to variations on each repetition. 3. (circuit) of a graph. A path that starts and ends at the same vertex. A cycle is said to be simple provided no edge appears more than once, and is elementary if no vertex (other than the start) appears more than once. See also Euler cycle, Hamiltonian cycle. 4. A permutation of a set that maps some subset $T = {t_{1}, t_{2}, \dots, t_{m}}$ of S in such a way that each t_i is mapped into t_i+1 (i = 1, 2,…, m−1) and t_m is mapped into t₁; the remaining elements of S are left unaltered by the permutation. Two cycles $(u_{1} u_{2} \dots) and (v_{1} v_{2} \dots)$ are disjoint provided the sets ${u_{1}, u_{2}, \dots} and {v_{1}, v_{2} \dots}$ are disjoint. Every permutation of a set can be expressed uniquely as the composition of disjoint cycles. Electronics and Electrical Engineering One complete set of changes in the values of a recurring variable quantity that repeats regularly, such as an alternating current. Economics See business cycle; credit cycle; Kondratieff cycle; life cycle; stop–go cycle; trade cycle.
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