例句與造句

1. Hesse originally used the term " functional determinants ".
2. The most popular of which for computing functional determinants is the zeta function regularization.
3. See functional determinant . talk ) 13 : 08, 30 March 2013 ( UTC)
4. In fact the Riemann Xi function would be proportional to the functional determinant ( Hadamard product)
5. Fujikawa derived this anomaly using the correspondence between functional determinants and the partition function using the Atiyah-Singer index theorem.
6. It's difficult to find functional determinant in a sentence. 用functional determinant造句挺難的
7. If all quantities converge in an appropriate sense, then the functional determinant can be described as a classical limit ( Watson and Whittaker ).
8. I guess I'm wondering if anyone is familiar with some general result that connects the two approaches ( Functional determinants maybe ? ).
9. These are now, ostensibly, two different definitions for the functional determinant, one coming from quantum field theory and one coming from spectral theory.
10. There is still the problem, though, that ( 2 \ pi ) ^ \ infty is infinite and also, the functional determinant would also be infinite in general.
11. This yields to a Hamiltonian whose eigenvalues are the square of the imaginary part of the Riemann zeros, and also the functional determinant of this Hamiltonian operator is just the Riemann Xi function.
12. The Paneitz operator has been most thoroughly studied in dimension four where it appears naturally in connection with extremal problems for the functional determinant of the Laplacian ( via the Polyakov formula; see ).
13. The ghost term in the Lagrangian represents the functional determinant of the Jacobian of this embedding, and the properties of the ghost field are dictated by the exponent desired on the determinant in order to correct the functional measure on the remaining " physical " perturbation axes.
14. Each involves some kind of regularization : in the definition popular in physics, two determinants can only be compared with one another; in mathematics, the zeta function was used . have shown that the results obtained by comparing two functional determinants in the QFT formalism agree with the results obtained by the zeta functional determinant.
15. Each involves some kind of regularization : in the definition popular in physics, two determinants can only be compared with one another; in mathematics, the zeta function was used . have shown that the results obtained by comparing two functional determinants in the QFT formalism agree with the results obtained by the zeta functional determinant.