Monogenic may refer to:
* Monogenic disorder, disease, inheritance, or trait, a
single gene disorder resulting from a single mutated gene
** Monogenic diabetes, or
maturity-onset diabetes of the young (MODY), forms of diabetes caused by mutations in an autosomal dominant gene
**
Monogenic obesity
Monogenic obesity is excess weight caused by a mutation in a single gene, as opposed to syndromic obesity not tied to a single gene variation and most obesity, which is caused by multiple genetic and environmental risk factors. Monogenetic obesity ...
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Monogenic field In mathematics, a monogenic field is an algebraic number field ''K'' for which there exists an element ''a'' such that the ring of integers ''O'K'' is the subring Z 'a''of ''K'' generated by ''a''. Then ''O'K'' is a quotient of the polynomial ...
, in mathematics, an algebraic number field ''K''
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Monogenic function A monogenic function is a complex function with a single finite derivative.
More precisely, a function f(z) defined on A \subseteq \mathbb is called monogenic at \zeta \in A , if f'(\zeta) exists and is finite, with:
f'(\zeta) = \lim_\frac
Al ...
, a function in an algebra over a field
* Monogenic polynomial, an alternate name for
monic polynomial
In algebra, a monic polynomial is a non-zero univariate polynomial (that is, a polynomial in a single variable) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1. That is to say, a monic polynomial is one ...
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Monogenic semigroup
In mathematics, a monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups.
Structure
The monogenic semigroup generated by the singleton set is denoted by \langle a \rangle. The set ...
, in mathematics, a semigroup generated by a set containing only a single element
* Monogenic signal, in the
theory of analytic signals
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Monogenic system
In classical mechanics, a physical system is termed a monogenic system if the force acting on the system can be modelled in a particular, especially convenient mathematical form. The systems that are typically studied in physics are monogenic. The ...
, in classical mechanics, a physical system
See also
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Monogenous (disambiguation) Monogenous in mathematics may refer to:
* A synonym for cyclic in
** ''monogenous group'', a synonym for cyclic group
** ''monogenous module'', a synonym for cyclic module In mathematics, more specifically in ring theory, a cyclic module or monog ...
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Monogenetic (disambiguation)
Monogenetic may refer to:
* Monogenetic in biology, of or pertaining to monogenesis (Mendelian inheritance)
* Monogenetic volcanic field in geology, a cluster of volcanoes that only erupted once
* Monogenetic theory of pidgins in linguistics, a th ...
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Monogenism (disambiguation)
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