In the present paper, we introduce the notion of self-similar function of spectral order zero and study its properties. Such functions have at most countably many discontinuity points, and these points are discontinuity points of the first kind except possibly for a single point, which is a ...
The starting point for the analysis of singular points is the solution of a holomorphic equation f(x,y)=0 to express y as a function of x .It follows from the implicit function theory that if \partial f/\partial y is non-zero at O ,we can solve for y as a holomorphic function of...
We consider an elliptic partial differential equation with input function inH -1. We assume that the type of singular part of solution is known and the sol
Key Points Most animals reproduce sexually and thus require a sex-determining mechanism. Sex-determining mechanisms are surprisingly diverse among animal species, and genes at the top of sex-determining pathways rapidly turn over during evolution. Genes containing the DM domain DNA-binding motif appear...
The book description for the forthcoming "Singular Points of Complex Hypersurfaces. (AM-61)" is not yet available. Let f(z1, … , zn + 1) ke a non-constant polynomial in n + 1 complex variables, and let V be the algebraic set consisting of all (n + 1)-tuples z = (z1, … ...
pacific journal of mathematics on the number of singular points, located on the unit circle, of certain functions represented by c-fractions V Singh,WJ Thron 被引量: 0发表: 2019年 On Singular Points of Meromorphic Functions Determined by Continued Fractions It is shown that Leighton's conjecture...
Defining Singular Points A singular point can be defined as a point within a mathematical function or equation where certain properties exhibit exceptional behavior, distinct from the surrounding points. It is a point of interest that usually stands out due to its peculiar properties, making it a ...
In this paper, we consider the key problem of geometric modeling, connected with the construction of the intersection curves of surfaces. Methods for constructing the intersection curves in complex cases are found: by touching and passing through singular points of surfaces. In the first part of ...
A famous result of this type states that the singular set (= set of non-Lebesgue points) of a function of bounded variation on Rn is (countably) rectifiable. In this paper we shall be concerned with quantitative forms of rectifiability, and we give a quantitative version of this theorem....
A point (x, B) satisfying a nonlinear equation F(x, B) equals 0 is called a 'singular point' if the Jacobian matrix F//x(x, B) of F(x, B) with respect to x is singular at (x, B). We consider singular points of the nonlinear equation and classify them into two cases. For...