The phrase "a complex conjugation" is correct and usable in written English.
It can be used in mathematical or scientific contexts, particularly in discussions about complex numbers and their properties.
Example: "In order to simplify the expression, we need to find a complex conjugation of the given complex number."
Alternatives: "a complex conjugate" or "the conjugate of a complex number".
For a matrix A, the symbols A ∗,A T, and A H denote the complex conjugation, transpose, and conjugate transpose respectively.
The superscripts T, ∗, and H denote transpose, complex conjugation, and conjugate transpose, respectively.
Here, denotes matrix transpose, and for complex conjugation and conjugate transposition, notations and are used, respectively.
Operators T, H, -1, +, and ||.|| F denote the complex conjugation, transpose, conjugate-transpose, inverse, pseudo-inverse, and Forbenius norm, respectively.
The filter w∗ M-k) can be obtained from w∗ M-kith low canputational complexity using complex conjugation and frequency reversal operations.
The subspace (V_mathbb {R} subset V^prime ) has played no role so far, but now we use it to decompose the complexification (V^prime otimes mathbb {C}) into holomorphic and anti-holomorphic parts: (V^prime otimes mathbb {C} = V oplus overline{V}) and determine an operation of complex conjugation (V^*rightarrow overline{V^*}).
It is well known that there is an integrable mixed NLS equation [41], q_{t}-iq_{xx}+a_{1}bigl( q^{ast}q^{2} bigr) _{x}+ibq^{ast}q^{2}=0, (2) where q represents a complex field envelop and the asterisk denotes complex conjugation, a and b are two nonnegative constants.
As filters for negative CFO are derived from filters for positive CFO through a simple permutation and complex conjugation of its coefficients, the operation is performed with little complexity.
T, and H respectively denote complex conjugation, transpose, and conjugate transpose (Hermitian) operations.
The notion of orbifold fundamental group has turned out to be quite useful also in real algebraic geometry, where one considers the action of complex conjugation on a real algebraic variety (see [97] for example).
