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・ Shift (sculpture)
・ Shift (string technique)
・ Shift based hiring
・ Shift blocking
・ Shift by wire
・ Shift Communications
・ Shift in the Wind
・ Shift JIS
・ Shift JIS art
・ Shift K3Y
・ Shift key
・ Shift kit
・ Shift left testing
・ Shift light
・ Shift matrix
Shift operator
・ Shift Out and Shift In characters
・ Shift pattern
・ Shift plan
・ Shift register
・ Shift register lookup table
・ Shift resistor
・ Shift rule
・ Shift space
・ Shift theorem
・ Shift time
・ Shift work
・ Shift work (disambiguation)
・ Shift work sleep disorder
・ Shift-and-add


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Shift operator : ウィキペディア英語版
Shift operator

In mathematics, and in particular functional analysis, the shift operator or translation operator is an operator that takes a function
to its translation . In time series analysis, the shift operator is called the lag operator.
Shift operators are examples of linear operators, important for their simplicity and natural occurrence. The shift operator action on functions of a real variable plays an important role in harmonic analysis, for example, it appears in the definitions of almost periodic functions, positive definite functions, and convolution. Shifts of sequences (functions of an integer variable) appear in diverse areas such as Hardy spaces, the theory of abelian varieties, and the theory of symbolic dynamics, for which the baker's map is an explicit representation.
==Definition==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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