and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction is made between a regular singular...
10 KB (1,674 words) - 20:42, 16 December 2023
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...
5 KB (673 words) - 17:06, 29 January 2024
Non-singular point Normal point Parshin point Periodic point Pinch point Point (geometry) Point source Rational point Recurrent point Regular point, Regular...
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{\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...
13 KB (2,955 words) - 16:05, 30 May 2024
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...
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an infinite cardinal number that is not a regular cardinal Singular point of a curve, in geometry Singularity (disambiguation) Singulair, Merck trademark...
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a singularity is by definition no longer part of the regular spacetime and cannot be determined by "where" or "when". Gravitational singularities exist...
24 KB (2,991 words) - 15:51, 3 September 2024
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...
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where two of the three regular singularities merge into an irregular singularity. The term confluent refers to the merging of singular points of families...
24 KB (4,566 words) - 19:59, 11 August 2024
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...
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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...
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differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation. For systematic lists...
40 KB (7,168 words) - 13:44, 27 August 2024
{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...
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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...
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bricks Regular map (algebraic geometry), a map between varieties given by polynomials Regular point, a non-singular point of an algebraic variety Regular point...
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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"...
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cardinals that are not regular are called singular cardinals. Finite cardinal numbers are typically not called regular or singular. In the presence of the...
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Submersion (mathematics) (redirect from Regular point)
case p is called a regular point of the map f, otherwise, p is a critical point. A point q ∈ N {\displaystyle q\in N} is a regular value of f if all points...
11 KB (1,636 words) - 15:10, 28 February 2024
inflected parts of regular verbs are given in detail in the article on English verbs. In summary they are as follows: The third person singular present tense...
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In mathematics, regular surface may refer to: Regular surface (differential geometry) Non-singular algebraic variety of dimension two This disambiguation...
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or to a critical point which is also an inflection point, or to a singular point. For a function of several real variables, a point P (that is a set of...
20 KB (2,980 words) - 13:41, 1 August 2024
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...
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inflection point is a point on the graph at which the second derivative has an isolated zero and changes sign. In algebraic geometry, a non singular point of...
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to the end of most nouns. Regular English plurals fall into three classes, depending upon the sound that ends the singular form: In English, there are...
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Algebraic curve (section Singular points)
matrix is evaluated at a point P on the curve, then the point is a smooth or regular point; otherwise it is a singular point. In particular, if the curve...
49 KB (7,984 words) - 19:34, 7 February 2024
"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...
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that the problem is regular instead of singular, will fail. Some show how the problem may be solved by more sophisticated singular methods. Differential...
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y\in \mathrm {dom} (X)} . Similarly to the regular case, an integrable singular distribution defines a singular foliation, which intuitively consists in...
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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...
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nontrivial monodromy and an essential singularity. In geometric function theory, unqualified use of the term branch point typically means the former more restrictive...
17 KB (2,729 words) - 18:14, 14 June 2024