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doubly periodic造句

例句與造句

  1. Doubly periodic square array of SRRs are used to illustrate the methodology.
  2. This function will then be necessarily doubly periodic.
  3. The totality of meromorphic doubly periodic functions with given periods defines an algebraic function field associated to that curve.
  4. Stagnation zones theorems are closely related to pre-Liouville theorem about conversion of the entire doubly periodic function into the identical constant.
  5. The doubly periodic function is thus a two-dimensional extension of the simpler singly periodic function, which repeats itself in a single dimension.
  6. It's difficult to find doubly periodic in a sentence. 用doubly periodic造句挺難的
  7. Scherk described two complete embedded minimal surfaces in 1834; his first surface is a doubly periodic surface, his second surface is singly periodic.
  8. As an arbitrary mapping from pairs of reals ( or complex numbers ) to reals, a doubly periodic function can be constructed with little effort.
  9. If a doubly periodic function is also a poles  in other words, a meromorphic function  then a lot of information about such a function can be obtained by applying some basic theorems from complex analysis.
  10. Certain elliptic functions ( doubly periodic functions ) denoted cm and sm satisfying the identity cm ( " z " ) 3 + sm ( " z " ) 3 = 1 are known as Dixon's elliptic functions.
  11. The Weierstrass theory also includes the Weierstrass zeta function, which is an indefinite integral of & # 8472; and not doubly periodic, and a theta function called the Weierstrass sigma function, of which his zeta-function is the log-derivative.
  12. The Weierstrass functions are doubly periodic; that is, they are periodic with respect to a lattice ?; in essence, the Weierstrass functions are naturally defined on a torus " T " = "'C "'/ ?.
  13. By starting with the Weierstrass p-function and associating with it a group of doubly periodic functions with two simple poles, he was able to give a simple derivation of the Jacobian elliptic functions, as well as modifying the existing notation to provide a more systematic approach to the subject.
  14. To solve equations ( 1.1 ) and ( 1.2 ) for a free-standing, doubly periodic surface, we consider an infinite 2D periodic surface occupying the entire x-y plane, and assume a discrete plane wave expansion for all currents, fields and potentials ( Tsao [ 1982 ], Scott [ 1989 ], Fourier optics ):
  15. Given a doubly periodic metric on \ mathbb R ^ 2 ( e . g . an imbedding in \ mathbb R ^ 3 which is invariant by a \ mathbb Z ^ 2 isometric action ), there is a nonzero element g \ in \ mathbb Z ^ 2 and a point p \ in \ mathbb R ^ 2 such that \ operatorname { dist } ( p, g . p ) ^ 2 \ leq \ frac { 2 } { \ sqrt { 3 } } \ operatorname { area } ( F ), where F is a fundamental domain for the action, while \ operatorname { dist } is the Riemannian distance, namely least length of a path joining p and g . p.

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