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Creation and annihilation operators. Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study of quantum harmonic oscillators and many-particle systems. [1] An annihilation operator (usually denoted ) lowers the number of particles in a given state by one.
The post-increment operator is commonly used with array subscripts. For example: // Sum the elements of an array float sum_elements(float arr[], int n) { float sum = 0.0; int i = 0; while (i < n) sum += arr[i++]; // Post-increment of i, which steps // through n elements of the array return sum; }
Code generation (compiler) In computing, code generation is part of the process chain of a compiler and converts intermediate representation of source code into a form (e.g., machine code) that can be readily executed by the target system. Sophisticated compilers typically perform multiple passes over various intermediate forms.
A generator matrix for a Reed–Muller code RM(r, m) of length N = 2 m can be constructed as follows. Let us write the set of all m -dimensional binary vectors as: X = F 2 m = { x 1 , … , x N } . {\displaystyle X=\mathbb {F} _{2}^{m}=\{x_{1},\ldots ,x_{N}\}.}
Momentum operator. In quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation, an example of a differential operator. For the case of one particle in one spatial dimension, the definition is: where ħ is Planck's reduced constant, i the imaginary unit ...
Pro Electron or EECA is the European type designation and registration system for active components (such as semiconductors, liquid crystal displays, sensor devices, electronic tubes and cathode ray tubes ). Pro Electron was set up in 1966 in Brussels, Belgium. In 1983 it was merged with the European Electronic Component Manufacturers ...
A generator matrix for a linear [,,]-code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
The new iPad Pro’s price tag in the U.S. will begin at $999 for the 11-inch and $1,299 for the 13-inch. Customers looking at those devices will have silver and space black colors to choose from.
Just as J is the generator for rotation operators, L and S are generators for modified partial rotation operators. The operator The operator R spatial ( n ^ , ϕ ) = exp ( − i ϕ L n ^ ℏ ) , {\displaystyle R_{\text{spatial}}\left({\hat {n}},\phi \right)=\exp \left(-{\frac {i\phi L_{\hat {n}}}{\hbar }}\right),}
Generator (mathematics) The 5th roots of unity in the complex plane under multiplication form a group of order 5. Each non-identity element by itself is a generator for the whole group. In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that ...
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