Every Curve on a Nonsingular Surface can be Defined by Two Equations

1986 ◽  
Vol 96 (3) ◽  
pp. 391 ◽  
Author(s):  
M. Boratynski
Keyword(s):  
Nonsingular Surface

Nonsingular surface quasi-geostrophic flow

1998 ◽  
Vol 241 (3) ◽  
pp. 168-172 ◽  
Author(s):  
Peter Constantin ◽  
Qing Nie ◽  
Norbert Schörghofer
Keyword(s):  
Geostrophic Flow ◽  
Nonsingular Surface

The Elastic Field Caused by a Circular Cylindrical Inclusion—Part I: Inside the Region x12+x22

1995 ◽  
Vol 62 (3) ◽  
pp. 579-584 ◽  
Author(s):  
Linzhi Wu ◽  
Shanyi Du
Keyword(s):  
Analytical Solutions ◽  
Elastic Field ◽  
Companion Paper ◽  
Elliptic Integrals ◽  
Cylindrical Inclusion ◽  
Stress Fields ◽  
Elastic Fields ◽  
Complete Elliptic Integrals ◽  
Nonsingular Surface ◽  
Surface Integrals

The displacement and stress fields caused by uniform eigenstrains in a circular cylindrical inclusion are analyzed inside the region x12+x22<a2,−∞<x3<∞ and are given in terms of nonsingular surface integrals. Analytical solutions can be expressed as functions of the complete elliptic integrals of the first, second and third kind. The corresponding elastic fields in the region x12+x22>a2,−∞<x3<∞ are solved by using the same technique (by Green’s functions) in the companion paper (Part II).

scholarly journals General curves on algebraic surfaces

2015 ◽  
Vol 2015 (700) ◽  
Author(s):  
Edoardo Sernesi
Keyword(s):  
Upper Bounds ◽  
Algebraic Surfaces ◽  
Curve With General Moduli ◽  
Nonsingular Surface

AbstractWe give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in a projective nonsingular surface

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