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Journal ArticleDOI

The Foundation of the General Theory of Relativity

Albert Einstein
- Vol. 14, Iss: 7, pp 769-822
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The article was published on 1916-01-01. It has received 2229 citations till now. The article focuses on the topics: Hole argument & Foundation (engineering).

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Solving the time-varying tensor square root equation by varying-parameters finite-time Zhang neural network

TL;DR: It is proved that the VPsFTZNN model converges in a finite-time which is shorter than the finite time convergence of existing finite- time ZNN models, and it is shown that a superior convergence can be achieved if the authors use the power-sigmoid or smooth power- sigmoid activation functions instead of linear activation function under certain conditions.
Journal ArticleDOI

Territorial pattern formation in the absence of an attractive potential

TL;DR: A partial differential equation model of territorial interactions based on the individual-based model (IBM) is constructed, showing analytically that steady-state patterns can form, as long as the scent does not decay faster than it takes the animal to traverse the terrain, and the spatial scale over which animals detect scent is incorporated into the PDE.
Journal ArticleDOI

Transfer of a time-signal isochronous with local time in translocation experiments to the geographical longitude

TL;DR: When mushroom-bodies of time-trained honeybees are translocated according to the geographical longitude and are implanted to naive host animals the information on time is transferred as an information on local time, i.e. the time-signal learned by the donor animal breaks through in the host animal isochronous with local time.
Journal Article

Elementary Derivation of the Lense-Thirring Precession

TL;DR: An elementary pedagogical derivation of the Lense-Thirring precession is given in this article based on the use of Hamilton vector, which is an extra constant of motion of the Kepler/Coulomb problem related simply to the more popular Runge-Lenz vector.
Journal ArticleDOI

Alternative derivation of the relativistic contribution to perihelic precession

TL;DR: In this article, an alternative derivation of the first-order relativistic contribution to perihelic precession is presented, which makes use of coordinate transformations and the correspondence principle rather than the standard perturbative approach.
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