現代数学の系譜工学物理雑談古典ガロア理論も読む49

[過去ﾛｸﾞ] 現代数学の系譜工学物理雑談古典ガロア理論も読む49 (658ﾚｽ)
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404: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [sage] 2018/01/11(木) 20:16:01.98 ID:dLTvfhGd

>>403 つづき

https://en.wikipedia.org/wiki/Holomorphic_function
Holomorphic function
(抜粋)
For Zariski's theory of holomorphic functions on an algebraic variety, see formal holomorphic function.

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
The existence of a complex derivative in a neighborhood is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal to its own Taylor series (analytic). Holomorphic functions are the central objects of study in complex analysis.
(引用終り)

https://ja.wikipedia.org/wiki/%E6%AD%A3%E5%89%87%E9%96%A2%E6%95%B0
正則関数

複素解析において、正則関数（せいそくかんすう、holomorphic function）とは、ガウス平面あるいはリーマン面上のある領域の全ての点で微分可能であるような複素変数複素数値の関数のことである。

(引用終り)

つづく

http://rio2016.5ch.net/test/read.cgi/math/1514376850/404

406: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [sage] 2018/01/11(木) 20:16:31.51 ID:dLTvfhGd

>>404 つづき

https://en.wikipedia.org/wiki/Rigidity
Rigidity
(抜粋)
Mathematics and physics
・Stiffness, the property of a solid body to resist deformation, which is sometimes referred to as rigidity
・Structural rigidity, a mathematical theory of the stiffness of ensembles of rigid objects connected by hinges
・Rigidity (electromagnetism), the resistance of a charged particle to deflection by a magnetic field
・Rigidity (mathematics), a property of a collection of mathematical objects (for instance sets or functions)
・Rigid body, in physics, a simplification of the concept of an object to allow for modelling
・Rigid transformation, in mathematics, a rigid transformation preserves distances between every pair of points

Other uses
・Real rigidity, and nominal rigidity, the resistance of prices and wages to marketchanges in macroeconomics
・Ridgid, a brand of tools
(引用終り)

以上

http://rio2016.5ch.net/test/read.cgi/math/1514376850/406

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