Monogenic
Encyclopedia
Monogenic may refer to:
- Monogenic (genetics)
- Monogenic fieldMonogenic fieldIn mathematics, a monogenic field is an algebraic number field K for which there exists an element a such that the ring of integers OK is the polynomial ring Z[a]...
in algebraic number theoryAlgebraic number theoryAlgebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization,... - Monogenic semigroupMonogenic semigroupIn mathematics, a monogenic semigroup is a semigroup generated by a set containing only a single element. Monogenic semigroups are also called cyclic semigroups.-Structure:...
as an algebraic structure - Monogenic signal in the theory of analytic signalAnalytic signalIn mathematics and signal processing, the analytic representation of a real-valued function or signal facilitates many mathematical manipulations of the signal. The basic idea is that the negative frequency components of the Fourier transform of a real-valued function are superfluous, due to the...
s - Monogenic systemMonogenic systemIn physics, among the most studied physical systems in classical mechanics are monogenic systems. A monogenic system has excellent mathematical characteristics and is very well suited for mathematical analysis...
in classical mechanics