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  2. Toroidal inductors and transformers - Wikipedia

    en.wikipedia.org/wiki/Toroidal_inductors_and...

    Interior of a linear power supply with toroidal mains transformer. Toroidal inductors and transformers are inductors and transformers which use magnetic cores with a toroidal (ring or donut) shape. They are passive electronic components, consisting of a circular ring or donut shaped magnetic core of ferromagnetic material such as laminated iron ...

  3. Torus - Wikipedia

    en.wikipedia.org/wiki/Torus

    A ring torus with aspect ratio 3, the ratio between the diameters of the larger (magenta) circle and the smaller (red) circle. In geometry, a torus ( pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle.

  4. Parity-check matrix - Wikipedia

    en.wikipedia.org/wiki/Parity-check_matrix

    Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations.

  5. Creation and annihilation operators - Wikipedia

    en.wikipedia.org/wiki/Creation_and_annihilation...

    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.

  6. Comparison of code generation tools - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_code...

    Apeel PHP Code Generator Pro City Business Logic Windows 2001 11.03b 2011-09-04 Proprietary: AtomWeaver Isomeris Windows 2010 1.3.1 2012-02-20 Proprietary: Catapult:

  7. Dynkin's formula - Wikipedia

    en.wikipedia.org/wiki/Dynkin's_formula

    In mathematics — specifically, in stochastic analysis — Dynkin's formula is a theorem giving the expected value of any suitably smooth statistic of an Itō diffusion at a stopping time. It may be seen as a stochastic generalization of the (second) fundamental theorem of calculus. It is named after the Russian mathematician Eugene Dynkin .

  8. Primary field - Wikipedia

    en.wikipedia.org/wiki/Primary_field

    Primary field. In theoretical physics, a primary field, also called a primary operator, or simply a primary, is a local operator in a conformal field theory which is annihilated by the part of the conformal algebra consisting of the lowering generators. From the representation theory point of view, a primary is the lowest dimension operator in ...

  9. Unitary transformation (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Unitary_transformation...

    Unitary transformation (quantum mechanics) In quantum mechanics, the Schrödinger equation describes how a system changes with time. It does this by relating changes in the state of the system to the energy in the system (given by an operator called the Hamiltonian ). Therefore, once the Hamiltonian is known, the time dynamics are in principle ...