and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction is made between a regular singular...

point of an algebraic variety that is not singular is said to be regular. An algebraic variety that has no singular point is said to be non-singular or...

{\textstyle u''\equiv {\frac {d^{2}u}{dz^{2}}}} . in the vicinity of the regular singular point z = 0 {\displaystyle z=0} . One can divide by z 2 {\displaystyle...

a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends...

Non-singular point Normal point Parshin point Periodic point Pinch point Point (geometry) Point source Rational point Recurrent point Regular point, Regular...

an infinite cardinal number that is not a regular cardinal Singular point of a curve, in geometry Singularity (disambiguation) Singulair, Merck trademark...

a singularity is by definition no longer part of the regular spacetime and cannot be determined by "where" or "when”. Gravitational singularities exist...

analytic at x = a {\displaystyle x=a} or a {\displaystyle a} is a regular singular point. That is, any solution to this second-order differential equation...

where two of the three regular singularities merge into an irregular singularity. The term confluent refers to the merging of singular points of families...

{1/4-\mu ^{2}}{z^{2}}}\right)w=0.} It has a regular singular point at 0 and an irregular singular point at ∞. Two solutions are given by the Whittaker...

bricks Regular map (algebraic geometry), a map between varieties given by polynomials Regular point, a non-singular point of an algebraic variety Regular point...

In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved...

cardinals that are not regular are called singular cardinals. Finite cardinal numbers are typically not called regular or singular. Assuming the axiom of...

removable singularity of a holomorphic function is a point at which the function is undefined, but it is possible to redefine the function at that point in such...

regular. However over the field k[a1/p], every point of the curve is singular. So the points of this curve are regular but not geometrically regular....

In the theory of ordinary differential equations, a movable singularity is a point where the solution of the equation behaves badly and which is "movable"...

differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation. For systematic lists...

In mathematics, regular surface may refer to: Regular surface (differential geometry) Non-singular algebraic variety of dimension two This disambiguation...

the problem of resolution of singularities asks whether every algebraic variety V has a resolution, which is a non-singular variety W with a proper birational...

a regular singular point of the differential equation, and since C {\displaystyle {\mathcal {C}}} is entire, the second solution must be singular at...

that the problem is regular instead of singular, will fail. Some show how the problem may be solved by more sophisticated singular methods. Differential...

equation has three singularities, namely at x = 0, x = 1 and around x = infinity. However, as these will turn out to be regular singular points, we will...

"Asymptotic Solution of Differential Equations in a Domain Containing a Regular Singular Point". Canadian Journal of Mathematics. 8: 97–104. doi:10.4153/CJM-1956-015-6...

critical point to describe a point where the rank of the Jacobian matrix of f at p is not maximal.: Indeed, this is the more useful notion in singularity theory...

nontrivial monodromy and an essential singularity. In geometric function theory, unqualified use of the term branch point typically means the former more restrictive...

y\in \mathrm {dom} (X)} . Similarly to the regular case, an integrable singular distribution defines a singular foliation, which intuitively consists in...

derivative may be omitted, although, in this case, the singularity may look like a regular point. For a curve defined by an implicit equation F ( x , y...

field of algebraic geometry, a scheme X {\displaystyle X} has rational singularities, if it is normal, of finite type over a field of characteristic zero...

not have any singular point. A surface with no singular point is called regular or non-singular. The study of surfaces near their singular points and the...

holomorphic and 1 at the singular point z = 0. The local Heun function is called a Heun function, denoted Hf, if it is also regular at z = 1, and is called...