Shift operator
Shift operator In mathematics, and in particular functional analysis, the shift operators are examples of linear operators, important ... abelian varieties. (There is another usage of shift operator as a translation operator: see for ...
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Shift
Shift Shift may refer to Look up shift in Wiktionary, the free dictionary. a movement the shift key on a keyboard, harking back to ... literal strings, for example barrel shifter (bit shift) in computing, the bit shift is ...
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Delta operator
Delta operator In mathematics, a delta operator is a shift-equivariant linear operator Q on the vector space of polynomials ... by one. To say that Q is shift-equivariant means that if f(x) = ...
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Circular shift
Circular shift In combinatorial mathematics, a circular shift is a permutation of the entries in ... the other are shifted. Equivalently, a circular shift is a permutation with only one cycle ... cyclic ordering. In computer science, a circular shift is a shift operator that shifts all bits of ...
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Logical shift
Logical shift In computer science, a logical shift is a shift operator that shifts all the bits of its operand. Unlike an arithmetic shift, a logical shift does not preserve ...
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Transfer operator
Transfer operator In mathematics, the transfer operator encodes information about an iterated map and ... mechanics, quantum chaos and fractals. The transfer operator is sometimes called the Ruelle operator, after David Ruelle, or the Ruelle-Perron-Frobenius operator in reference to the applicability of ...
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Multiplication operator
Multiplication operator In operator theory, a multiplication operator is a linear operator T defined on some vector space of ... operators. Multiplication operators generalize the notion of operator given by a diagonal matrix. Example ...
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Bounded operator
Bounded operator In functional analysis (a branch of mathematics), a bounded linear operator is a linear transformation L between normed ... The smallest such M is called the operator norm $\backslash |L\backslash |\_\{op\}$ of L. A bounded linear operator is not necessarily a bounded function; the ... for all v. Rather, a bounded linear operator is a locally bounded function. A ...
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Difference operator
Difference operator In mathematics, a difference operator maps a function, f(x), to another ... − f(x + b). The forward difference operator $\backslash Delta\; f(x)=f(x+1\; ...\; Analogously\; we\; can\; have\; the\; backward\; difference$operator $\backslash nabla\; f(x)=f(x)-f\; ...\; to\; polynomial\; functions\; f,\; the\; forward\; difference$operator is a delta operator, i.e., ...
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Unitary operator
Unitary operator In functional analysis, a unitary operator is a bounded linear operator $U$ on a Hilbert space ... and $I$ is the identity operator. This property is equivalent to any of ... rangle. Unitary operators implement isomorphisms between operator algebras. Examples The identity function is ...
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