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Similarly, a standardized anomaly equals an anomaly divided by a standard deviation. [1] A group of anomalies can be analyzed spatially, as a map, or temporally, as a time series. It should not be confused for an isolated outlier. There are examples in atmospheric sciences and in geophysics.
Mean anomaly, a measure of time in the study of orbital dynamics Pioneer anomaly , the observed deviation of the trajectories of some uncrewed space probes, and especially Pioneer 10 and Pioneer 11 South Atlantic Anomaly , an area where the Earth's inner Van Allen radiation belt comes closest to the Earth's surface
Define ℓ as the mean longitude, the angular distance of the body from the same reference direction, assuming it moves with uniform angular motion as with the mean anomaly. Thus mean anomaly is also [6] = . Mean angular motion can also be expressed, = , where μ is the gravitational parameter, which varies with the masses of the objects, and a ...
Anomaly detection finds application in many domains including cybersecurity, medicine, machine vision, statistics, neuroscience, law enforcement and financial fraud to name only a few. Anomalies were initially searched for clear rejection or omission from the data to aid statistical analysis, for example to compute the mean or standard deviation.
In physics, quantum mechanics, and quantum field theory, an anomaly is a breaking of a symmetry which exists at the classical level. Anomalous global symmetries are often consistent, but anomalous gauge symmetries are usually inconsistent.
In quantum physics an anomaly or quantum anomaly is the failure of a symmetry of a theory's classical action to be a symmetry of any regularization of the full quantum theory. [1] [2] In classical physics, a classical anomaly is the failure of a symmetry to be restored in the limit in which the symmetry-breaking parameter goes to zero.
The Bangui magnetic anomaly in central Africa and the Kursk magnetic anomaly in eastern Europe (both in red) In geophysics, a magnetic anomaly is a local variation in the Earth's magnetic field resulting from variations in the chemistry or magnetism of the rocks. Mapping of variation over an area is valuable in detecting structures obscured by ...
Temperature anomaly is the difference, positive or negative, of a temperature from a base or reference value, normally chosen as an average of temperatures over a certain reference or base period. In atmospheric sciences , the average temperature is commonly calculated over a period of at least 30 years over a homogeneous geographic region, or ...