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A time scale (or measure chain) is a closed subset of the real line. The common notation for a general time scale is T {\displaystyle \mathbb {T} } . The two most commonly encountered examples of time scales are the real numbers R {\displaystyle \mathbb {R} } and the discrete time scale h Z {\displaystyle h\mathbb {Z} } .
The variable "time" ranges over the entire real number line, or depending on the context, over some subset of it such as the non-negative reals. Thus time is viewed as a continuous variable . A continuous signal or a continuous-time signal is a varying quantity (a signal ) whose domain, which is often time, is a continuum (e.g., a connected ...
Where is the integral time scale, L is the integral length scale, and () and () are the autocorrelation with respect to time and space respectively. In isotropic homogeneous turbulence, the integral length scale ℓ {\displaystyle \ell } is defined as the weighted average of the inverse wavenumber , i.e.,
An order of magnitude of time is usually a decimal prefix or decimal order-of-magnitude quantity together with a base unit of time, like a microsecond or a million years.In some cases, the order of magnitude may be implied (usually 1), like a "second" or "year".
Time scale may refer to: Time standard, a specification of either the rate at which time passes, points in time, or both; A duration or quantity of time: Orders of magnitude (time) as a power of 10 in seconds; A specific unit of time; Geological time scale, a scale that divides up the history of Earth into scientifically meaningful periods
BER: variable-length big-endian binary representation (up to 2 2 1024 bits); PER Unaligned: a fixed number of bits if the integer type has a finite range; a variable number of bits otherwise; PER Aligned: a fixed number of bits if the integer type has a finite range and the size of the range is less than 65536; a variable number of octets ...
where y and f may denote vectors (in which case this equation represents a system of coupled ODEs in several variables). We are given the function f(t,y) and the initial conditions (a, y a), and we are interested in finding the solution at t = b. Let y(b) denote the exact solution at b, and let y b denote the solution that we compute.
Scaled correlation between two signals is defined as the average correlation computed across short segments of those signals. First, it is necessary to determine the number of segments that can fit into the total length of the signals for a given scale :