Saturday 28 April 2018

Holomorphic Meaning Theory 10th for KARCEVSKIJ Sergej


10th for KARCEVSKIJ Sergej


1
Word has meaning.
2
Meaning consists of semantic minimum.
Semantic minimum is the term that is used by JACOBSON Roman, ESSAIS DE LINGUISTIQUE GÉNÉRALE, 1973.
Semantic minimum is abbreviated to SM.
3
Word generates sentence.
4
Language consists of semantic meaning, word and sentence.
5
Language is in space.
Space is considered as n-dimensional complex space.
n-dimensional complex space is notated to Cn.
Point of Cis expressed by z.
Open set of Cis expressed by Ω.
Ω is proto-meaning minimum.
6
Language has distance.
zCn
| = ( | z1|2 + … + | zn|2 ) 1/2
| is proto-distance.
7
Set of all the nonnegative integers is expressed by Z+.
For every point a of Ω, power series that is convergent to complex valued function f over a neighborhood of a is called Pa.
P(z) = αZn+ cα(z – a)αcαC
When there is P(z), f is called holomorphic function.
Holomorphic function is C class.
When complex adjoint z   is holomorphic, f is called antiholomorphic.
Set of all the holomorphic functions over Ω is expressed by A (Ω).
A (Ω) is proto-word.
8
All the holomorphic functions are the solution of Cauchy-Riemann equation.
Cauchy-Riemann equation is simultaneous differential equation.
 = 0,  j = 1, …, n
Cauchy-Riemann equation is proto-sentence.

[References]

Tokyo June 15, 2008

 [Reference December 22, 2008]

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