Singular points come in two different forms: regular and irregular
In this chapter we are again especially interested in statements that have applications to complete intersections
During the past few lectures, we have been focusing on second order linear ODEs of the form y00 + p(x)y0 + q(x)y = g(x)
Classification of Singularities
Modified 3 years, 1 month ago
REFERENCES
We study the local analytic classification of Fuchsian singular points
(ii) If the principal part of f (z) contains infinite number of terms, i
This shows the importance of singular points for understanding the topology even of nonsingular curves
Introduction
Using three types of singular points ( SC, SD, and SCD ), we can well classify the fingerprint images
De nition 10
Consider a time invariant second order system described by eq of the form ẋ=X2 ; ẋ2 = f (x1,x2) Now using Taylor series expansion , eq can be ẋ=X2 ẋ2 = ax1+bx2+g2 (x1,x2) Where g2 (
To each singular point P of an algebraic curve C there is associated the local ring of C at P and the completion of this local ring, called the complete local ring at P
(If the field K is not the reals or complex
1
1
Henryk Żołądek, in Handbook of Differential Equations: Ordinary Differential Equations, 2008
Singular points (cores and deltas) are used for fingerprint classification, sub-classification and registration
of synergy
He determined the individual types To system (1), we associate each surface point S with a linear element элемент defined by the matrix
Regular points and singular points of second-order linear differential equations