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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} } .
A variable measured in discrete time can be plotted as a step function, in which each time period is given a region on the horizontal axis of the same length as every other time period, and the measured variable is plotted as a height that stays constant throughout the region of the time period. In this graphical technique, the graph appears as ...
A powerful tool in physics is the concept of dimensional analysis and scaling laws. By examining the physical effects present in a system, we may estimate their size and hence which, for example, might be neglected. In some cases, the system may not have a fixed natural length or time scale, while the solution depends on space or time.
For example, Correlation Optimized Warping (COW) divides the sequence into uniform segments that are scaled in time using linear interpolation, to produce the best matching warping. The segment scaling causes potential creation of new elements, by time-scaling segments either down or up, and thus produces a more sensitive warping than DTW's ...
[3] Addition creates a vector that combines concepts. For example, adding “SHAPE is CIRCLE” to “COLOR is RED,” creates a vector that represents a red circle. Permutation rearranges the vector elements. For example, permuting a three-dimensional vector with values labeled x, y and z, can interchange x to y, y to z, and z to x. Events ...
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
Identifier Description Time manipulation difftime: computes the difference in seconds between two time_t values : time: returns the current time of the system as a time_t value, number of seconds, (which is usually time since an epoch, typically the Unix epoch).
The method, used to determine the right hand side functions, is given in Sobol's paper. A review can be found here: High Dimensional Model Representation (HDMR): Concepts and Applications. The underlying logic behind the HDMR is to express all variable interactions in a system in a hierarchical order.