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en.wikipedia.org Wikipedia
en.wikipedia.org › wiki › Fermat%27s_Last_Theorem
Fermat's Last Theorem - Wikipedia
Satzes". Mathematisch-Naturwissenschaftliche Blätter. 6 (12): 179–180. Stockhaus H (1910). Beitrag zum Beweis des Fermatschen Satzes. Leipzig: Brandstetter
arxiv.org arXiv
arxiv.org › abs › gr-qc › 0002049v2
Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation
We enunciate and prove here a generalization of Geroch's famous conjecture concerning analytic solutions of the elliptic Ernst equation. Our generalization is stated for solutions of the hyperbolic Er...
en.wikipedia.org Wikipedia
en.wikipedia.org › wiki › Karl_Helbig
Karl Helbig - Wikipedia
auf Grund einer geographischen „Zufallsform“. In: Deutsche Geographische Blätter. Herausgegeben von der Geographischen Gesellschaft in Bremen durch Dr.
arxiv.org arXiv
arxiv.org › abs › 1012.2591v1
Ernst Mayr and Carl Sagan debate about the probability of intelligent life in the universe
During the Second Iberoamerican Graduate School on Astrobiology interesting debates, between the experts from the biological and physical backgrounds, arose about the probability of the existence of e...
en.wikipedia.org Wikipedia
en.wikipedia.org › wiki › ..._of_mountain_summits
List of first ascents of mountain summits - Wikipedia
Herman Buhl, On the Summit of Nanga Parbat, HJ 18 (1954) Kern Stefan (2013) Zum 60. Jahrestag der Erstbesteigung des Mount Asgard Bernard Pierre, Nun-Kun
arxiv.org arXiv
arxiv.org › abs › 1011.3646v1
Quantum Abacus for counting and factorizing numbers
We generalize the binary quantum counting algorithm of Lesovik, Suslov, and Blatter [Phys. Rev. A 82, 012316 (2010)] to higher counting bases. The algorithm makes use of qubits, qutrits, and qudits to...
arxiv.org arXiv
arxiv.org › abs › 2103.06176v3
Yule's "nonsense correlation" for Gaussian random walks
The purpose of this paper is to provide an exact formula for the second moment of the empirical correlation of two independent Gaussian random walks as well as implicit formulas for higher moments. Th...
arxiv.org arXiv
arxiv.org › abs › gr-qc › 0010058v1
The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution
A procedure is described for matching a given stationary axisymmetric perfect fluid solution to a not necessarily asymptotically flat vacuum exterior. Using data on the zero pressure surface, the proc...
arxiv.org arXiv
arxiv.org › abs › 1909.02546v5
Yule's "nonsense correlation" solved: Part II
In 1926, G. Udny Yule considered the following: given a sequence of pairs of random variables $\{X_k,Y_k \}$ ($k=1,2, \ldots, n$), and letting $X_i = S_i$ and $Y_ i= S'_i$ where $S_i$ and $S'_i$ are t...
arxiv.org arXiv
arxiv.org › abs › gr-qc › 9903104v1
Group structure of the solution manifold of the hyperbolic Ernst equation --- general study of the subject and detailed elaboration of mathematical proofs
This is not for the faint of heart, for we here provide the full details concerning the statement and proof of a generalized Geroch conjecture involving not the usual analytic functions but instead fu...
arxiv.org arXiv
arxiv.org › abs › cond-mat › 9811343v1
Casimir Force between Vortex Matter in Anisotropic and Layered Superconductors
We present a new approach to calculate the attractive long range vortex-vortex interaction of the van der Waals type present in anisotropic and layered superconductors. The mapping of the statistical ...
arxiv.org arXiv
arxiv.org › abs › 2305.05721v1
Quickest Real-Time Detection of Multiple Brownian Drifts
Consider the motion of a Brownian particle in $n$ dimensions, whose coordinate processes are standard Brownian motions with zero drift initially, and then at some random/unobservable time, exactly $k$...
arxiv.org arXiv
arxiv.org › abs › gr-qc › 9303021v2
Non-Analytic Extension of the Kinnersley-Chitre Group for Colliding Plane Gravitational Waves. I
A program is outlined concerning the set of all solutions of the hyperbolic Ernst equation on a two-dimensional manifold whose underlying topological space is the same as the domain of all Ernst poten...