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The radiation pattern of a simple omnidirectional antenna, a vertical half-wave dipole antenna. In this graph the antenna is at the center of the "donut," or torus. Radial distance from the center represents the power radiated in that direction.
A creation operator (usually denoted ^ †) increases the number of particles in a given state by one, and it is the adjoint of the annihilation operator. In many subfields of physics and chemistry, the use of these operators instead of wavefunctions is known as second quantization.
In mathematics — specifically, in stochastic analysis — the infinitesimal generator of a Feller process (i.e. a continuous-time Markov process satisfying certain regularity conditions) is a Fourier multiplier operator that encodes a great deal of information about the process.
The Reed–Muller RM(r, m) code of order r and length N = 2 m is the code generated by v 0 and the wedge products of up to r of the v i, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the operation).
Comparison of documentation generators. The following tables compare general and technical information for a number of documentation generators. Please see the individual products' articles for further information.
So spark-gap transmitters could not transmit audio, and instead transmitted information by radiotelegraphy; the operator switched the transmitter on and off with a telegraph key, creating pulses of radio waves to spell out text messages in Morse code.
In quantum mechanics, a translation operator is defined as an operator which shifts particles and fields by a certain amount in a certain direction. It is a special case of the shift operator from functional analysis.
Choose an integer j. The strategy is to apply Dynkin's formula with X = B, τ = σj = min ( j , τK ), and a compactly-supported C2 f with f ( x ) = | x | 2 on K. The generator of Brownian motion is Δ/2, where Δ denotes the Laplacian operator. Therefore, by Dynkin's formula,
An example of a stabilizer code is the five qubit [[,,]] stabilizer code. It encodes k = 1 {\displaystyle k=1} logical qubit into n = 5 {\displaystyle n=5} physical qubits and protects against an arbitrary single-qubit error.
The control console allows the operator to adjust the operating parameters of the neutron tube. The power supplies and control equipment are normally located within 3–10 metres (10–30 ft) of the accelerator head in laboratory instruments, but may be several kilometers away in well logging instruments.