# Elliptic function

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Related to Elliptic function: Theta function, Elliptic integrals

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Also found in: Encyclopedia, Wikipedia.

Related to Elliptic function: Theta function, Elliptic integrals

Zhao, "Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations," Physics Letters A, vol.

tau]]) is the Weierstrass elliptic function, and b([tau]), c([tau]) are the coefficients of the Tate normal form contained in [C/[L.

The sum of all the residues of an elliptic function in the period parallelogram is zero.

On the other hand, the BPF with elliptic function response is also used widely because of advantages of sharp frequency characteristic and good out-of-band performance.

Waveguide bandstop elliptic function filters," IEEE Trans.

Liu: Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrodinger system, Chaos, Solitons and Fractals, 40(2009), 786-792.

j] is the complete elliptic integral of the first kind, and cd is Jacobi elliptic function.

Elliptic function filters [30] have very good selectivity performance, but they are hard to physically realize with the rectangular waveguide.

Recall the corresponding definition in the Weierstrass elliptic function case:

Wachspress [37] computes the optimum parameters when the spectrum of the matrix F is real or, in the complex case, if the spectrum of F can be embedded in an elliptic function region (a precise definition will be given in Section 2.

We show how the influence of dissipation in the 1+2D problem in comparison with the simple case, where only nonlinearity and dispersion are taken into account, appears through a coefficient in the final solution, having a general form in terms of the Weierstrass elliptic function.

In this article, a microstrip structure for a small-sized elliptic function low pass filter (LPF) is developed from a modified dumbbell-shaped defected ground structure (DGS) and additional open stubs.

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- Elliptic curve cryptography
- Elliptic curve cryptography
- Elliptic curve cryptography
- Elliptic curve cryptography
- Elliptic curve cryptography
- Elliptic Curve Diffie Hellman
- Elliptic Curve Diffie-Hellman
- Elliptic Curve Diffie-Hellman
- Elliptic Curve Diffie-Hellman Problem
- Elliptic Curve Digital Signature Algorithm
- Elliptic Curve Discrete Logarithm Problem
- Elliptic Curve Doubling
- Elliptic Curve DSA
- Elliptic Curve DSA
- Elliptic Curve Encryption Scheme
- Elliptic Curve Factoring Algorithm
- Elliptic curve factorization
- Elliptic Curve Group
- Elliptic Curve Group Over GF
- Elliptic Curve Integrated Encryption Scheme
- Elliptic Curve Menezes Vanstone
- Elliptic curve method
- Elliptic Curve Nyberg-Rueppel Analog
- Elliptic Curve Only Hash
- Elliptic Curve Point Counting
- Elliptic curve primality proving
- Elliptic Curve Scalar Multiplication
- Elliptic cylinder
- elliptic differential equation
- Elliptic filter
- Elliptic function
- Elliptic Function, Second-Order Ripple-Phase Approximation
- Elliptic functions
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- Elliptic integral
- Elliptic integral
- elliptic integral of the first kind
- elliptic integral of the second kind
- elliptic integral of the third kind
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- Elliptic or Riemannian geometry
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- Elliptic partial differential equation
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- Elliptic Restricted Three-Body Problem
- elliptic Riemann surface
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