Supergravity is the locally supersymmetric extension of general relativity and at the same time a promising way of introducing the fundamental concept of anticommuting fermion fields into gravity theory. So far, however, very little is known about the physical implications of this theory. A step ...
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Fortunately, the methods of Vinogradov (which more generally can handle sums such as and for various analytic functions ) can give useful bounds on such sums as long as and are not too large compared to ; more specifically, Vinogradov’s estimates are non-trivial in the regime , and this ...
What precisely triggered off yesterday's riot is still unclear... 究竟是什么引发了昨天的骚乱还不清楚。 柯林斯高阶英语词典 What I wanted, more than anything, was a few days' rest... 我最想要的就是能休息几天。 柯林斯高阶英语词典 She had been in what doctors described as an irreversible ve...
Perhaps the second example is what you do first to demonstrate the value, then move towards doing the first example for marketplace actions that aren’t trivial to reimplement as simple code as a next step. Another note: in order to best preserve the abstraction of GitHub, loadGithubEnv ...
Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background Further, we construct bound states among solitons and positons for the coupled Hirota equation. In the case of plane wave background, we construct ... S Monisha,PN Vishnu,M Senthi...
Take the widely-used RSA encryption: the public key is a 2048-bit integer, a huge number. The private key is the prime factor of that number. It's trivial for even a pocket calculator to check the private key against the public key: multiply the factors together. But every star that ...
However, this fact is not entirely trivial to prove, being a key example of the sum-product phenomenon. We thus see that to go beyond the dimension bound of Wolff for the 3D Kakeya problem over the reals, one must do at least one of two things: (a) Exploit the distinct directions...
However, the control on error terms here is usually only qualitative at best, and one usually does not obtain non-trivial control on correlations in which the are allowed to grow at some significant rate with (e.g. like some power of ). The correspondence principle is discussed in these ...
Trivial Graph Simple Graph Multi Graph Null Graph Complete Graph Pseudo Graph Regular Graph Bipartite Graph Labeled Graph Diggraph Graph Subgraph Connected or Disconnected Graph Cyclic Graph Vertex Labelled Graph Directed Acyclic Graph A graph is a pair of sets (V, E), where V is the set of ve...