Five-sixths of the public are taught this Adamitic Monogenism as if it were an established truth, and believe it.
"Bible Romances" by George W. Foote
ON +MONOGENES THEOS+ IN SCRIPTURE AND TRADITION.
"The Girls and I" by Mary Louisa Stewart Molesworth
Before passing to this it may be convenient to make here a few remarks as to the periodicity of (single valued) monogenic functions.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3" by Various
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The inherited disorders of haemoglobin, sickle-cell anaemia, its variants, and the thalassaemias, are by far the commonest monogenic diseases.
The inherited disorders of haemoglobin, sickle-cell anaemia, its variants, and the thalassaemias, are by far the commonest monogenic diseases.
For example, people are often told they have Type 1 or Type 2, when they actually have MODY, also called maturity-onset diabetes of the young or monogenic diabetes.
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Applying monogenic functions to the Hydrogen atom should not be difﬁc ult because the form of the Dirac equation we arrived at is perfectly equivalent to the standard one; one should then ﬁnd the same solutions but in a GA formali sm.
Can physics laws be derived from monogenic functions?
Gravitational waves are predicted by the monogenic function formalism as we pointed out but did not investigate.
Can physics laws be derived from monogenic functions?
Almeida, Monogenic functions in 5-dimensional spacetime used as ﬁrst principle: Gravitational dynamics, electromagnetis m and quantum mechanics, 2006, submitted to Phys.
Can physics laws be derived from monogenic functions?
Speciﬁcally we consider the more general meta-monogenic equation (in non-Euclidean spacetime), which is of more interest (to physicists) than the more limited monogenic equation, yet has not received nearly as much attention in Clifford analysis.
Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
It is therefore a source of confusion for the physicist to encounter the use of the term “Dirac equation” in Clifford analysis sometimes applied to the monogenic equation 2Ψ = 0, rather than eq. (3.2a) below.
Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
When Ψ is restricted to be a bivector, the monogenic equation would be called the (sourceless) Maxwell equation, describing the spin-one massless photon (i.e. electromagnetic waves).
Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
Further the meta-monogenic eigenfunction Ψ ~P (x) can be written in terms of a multivector solution Φ ~P (x) to the Klein-Gordon equation, again complex e4 .
Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
In general, the ﬁrst-order monogenic equation: 2Ψ = 0 [or the generalized Dirac eq. (3.2a)] more directly lends itself to integral solution than the associated secondorder harmonic equation [or the generalized Klein-Gordon eq. (3.1)].
Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
This study is motivated by the theory of monogenic functions .
Stone-Weierstrass Theorem
It is obvious that monogenic functions (i.e. null-solutions of ∂x ) are inframonogenic.
A Cauchy-Kowalevski theorem for inframonogenic functions
Furthermore, the concept of monogenicity of a function may be seen as the higher dimensional counterpart of holomorphy in the complex plane.
A Cauchy-Kowalevski theorem for inframonogenic functions
First, we classify which places of k(x) whose local integral bases have an easy monogenic form, and give explicit formulas for these bases.
Explicit Methods for Radical Function Fields over Finite Fields
In this paper we present a generalization of the Fueter’s theorem for monogenic functions to the case of the biregular functions.
Fueter's theorem for the biregular functions of Clifford analysis
The biregular functions were introduced in the 1980s by Brackx and Pincket as an extension to two higher dimensional variables of the standard monogenic functions, i.e. C 1 functions f : Ω ⊂ Rm+1 → R0,m satisfying ∂x f = 0 (or f ∂x = 0).
Fueter's theorem for the biregular functions of Clifford analysis
An important technique to generate monogenic functions is the so-called Fueter’s theorem.
Fueter's theorem for the biregular functions of Clifford analysis
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