We show that the Fourier transform on the Jacobian of a curve interchanges " δ functions " on the curve and the theta divisor. The Torelli theorem is an immediate consequence. 1. Statement of the theorem. 1.1. We live over an algebraically closed base field k. Let J be an abelian variety equipped with a principal polarization θ : J ∼ → J • = Pic 0 (J), so we have the corresponding Fourier trans...

In this paper we present McMAC, a lightweight, low power and multi-channel MAC protocol for duty cycled Wireless Sensor Networks (WSNs) based on the strobed preamble sampling technique first presented in XMAC. Although many MAC protocols for duty cycled WSNs have been proposed so far, McMAC is the first protocol, to the best of the authors’ knowledge, that exploits in a lightweight fashion para...

We consider a holographic model constructed through using the D4/D8-D8 brane configuration with a NS-NS background field. We study some properties of the effective field theory in this intersecting brane construction, and calculate the effects of this NS-NS background field on some underlying dynamics. We also discuss some other general brane configurations.

The standard notion of NS-NS 3-form flux is lifted to Hitchin’s generalized geometry. This generalized flux is given in terms of an integral of a modified Nijenhuis operator over a generalized 3-cycle. Explicitly evaluating the generalized flux in a number of familiar examples, we show that it can compute three-form flux, geometric flux and non-geometric Q-flux. Finally, a generalized connectio...

Broadband Wireless Access (BWA) based on the IEEE 802.16 standards [IEEE 802.16, 2004] [IEEE 802.16, 2005], also known as Worldwide Interoperability for Microwave Access (WiMAX), is gaining momentum as more and more field trials are transformed in commercial roll-outs. Very much likely, this is certainly a merit of the combined effort of the IEEE 802.16 standardization community, the WiMAX Foru...