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...nt formula]] that relates a sum over the [[fixed point (mathematics)|fixed points]] of a holomorphic [[vector field]] of a compact complex manifold to a sum ...n [[automorphism]] of a compact complex manifold ''M'' with isolated fixed points, then ...

...k=Raoul Bott}}, describes a sum over the [[Fixed point (mathematics)|fixed points]] of a [[Holomorphic function|holomorphic]] [[vector field]] of a compact [ *The sum is over the fixed points ''p'' of the vector field ''v'' ...

...h> can refer to either of two closely related notions: a [[representation (mathematics)|representation]] of <math>G</math> as a group of [[permutation]]s, or as a ...sentation''' of a [[group (mathematics)|group]] <math>G</math> on a [[set (mathematics)|set]] <math>X</math> is a [[group homomorphism|homomorphism]] from <math>G ...

...Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points |journal=The Bulletin of Symbolic Logic |date=September 2003 |volume=9 |iss ...tegory Theory, Homology Theory and their Applications II (Lecture Notes in Mathematics, vol 92) |date=1969 |publisher=Springer |location=Berlin |url=https://link. ...

...ent way of stating this definition is that the [[cross ratio]] of the four points is <math>\pm 1</math>.{{r|beamin}} It is allowed for the quadrilateral side ...ath>AC</math>, and setting <math>B</math> and <math>D</math> to be the two points where the circle is touched by the [[tangent lines to circles]] through <ma ...

...wcontent.cgi?article=1126&context=rhumj |journal=Rose-Hulman Undergraduate Mathematics Journal |volume=11 |issue=2 |pages=50}}</ref> ...ism group]] of ''G''), then the set of the elements of ''G'' that are left fixed by every automorphism in ''S'' is a subgroup of ''G'', denoted by ''G''<sup ...

In [[set theory]], a branch of [[mathematics]], an '''additively indecomposable ordinal''' ''&alpha;'' is any [[ordinal ...psilon_0 = \omega^{\omega^{\omega^{\cdots}}}</math> is therefore the first fixed point of the [[sequence]] <math>\omega,\omega^\omega\!,\omega^{\omega^\ome ...

...vex subset]] in a [[locally convex topological vector space]] has a common fixed point. This theorem is a key tool in one of the quickest proofs of amenabil ...th>T</math> in <math>S</math>. Then the mappings in <math>S</math> share a fixed point.{{sfn | Conway | 1990 | pp=151–152}} ...

{{distinguish|Glicksberg fixed-point theorem}} ...eorem|Kakutani Fixed Point Theorem]], with Application to Nash Equilibrium Points. ''Proceedings of the American Mathematical Society,'' 3(1), pp. 170-174, h ...

...ose initial [[Great-circle distance|orthodromic course]] with respect to a fixed point is constant.<ref>Flexner, W. W.. 1943. “Azimuth Line of Position”. Th ...80 [[Degree (angle)|degrees]], the associated isoazimuth is formed by all points whose initial [[Great-circle distance|orthodromic course]] with respect to ...

...olomorphic mapping becomes a [[contraction mapping]] to which the [[Banach fixed-point theorem]] can be applied. *the distance between points ''f''(''D'') and points in the exterior of ''D'' is bounded below by a positive constant. ...

...-access=free }}</ref><ref name=Wutiphol2>{{Cite journal|title=Common fixed points for R-weakly commuting in fuzzy metric spaces ...te journal|title=A comparison of various noncommuting conditions in metric fixed point theory and their applications ...

{{Short description|Complex Analysis, Fixed-points and Iterations of Holomorphic Mappings}} ...theorem in [[complex analysis]] and [[dynamical systems]] concerning fixed points and iterations of [[holomorphic mapping]]s of the [[unit disc]] in the [[co ...

...st2=Quastel |first3=Daniel |last3=Remenik |arxiv=1701.00018 |title=The KPZ fixed point |journal=Acta Mathematica}}</ref> ...class converge under a specific scaling of the height function to the KPZ fixed point and only depend on the initial condition. ...

...able manifold]] and [[unstable manifold]] of a [[Fixed point (mathematics)|fixed point]]. ...>f:M\to M</math> be a [[map]] defined on a manifold <math>M</math>, with a fixed point <math>p</math>. ...

...etting in terms of the integral over the [[fixed point (mathematics)|fixed points]] of the element. If the element is neutral, then the theorem reduces to th ...

...thematics]], a '''discrete fixed-point''' is a [[fixed point (mathematics)|fixed-point]] for functions defined on finite sets, typically subsets of the inte ...itle=Discrete fixed point analysis and its applications|journal=Journal of Fixed Point Theory and Applications|language=en|volume=6|issue=2|pages=351–371|do ...

...matics)|ring]] ''R'' is the [[subring]] of the [[fixed point (mathematics)|fixed point]]s of ''f'', that is, More generally, if ''G'' is a [[group (mathematics)|group]] [[group action|acting]] on ''R'', then the subring of ''R'' ...

...stitute of Technology]] and then his A.M. in 1911 and in 1914 his Ph.D. in mathematics from [[Columbia University]]. He spent the academic year 1914–1915 as a Ben ...el]] in 1942 gave conditions which imply the linearizability of such fixed points.<ref>A description and discussion of the results of Pfeiffer, Cremer and Si ...

...e., the set <math>\mathfrak{u}</math> of [[Fixed point (mathematics)|fixed points]]) is a [[compact Lie algebra|compact subalgebra]]. If "compactness" is omi ...