Maximums of Total Betti Numbers in Hilbert Families

Fix a family of ideals in a polynomial ring and consider the problem of finding a single ideal in the family that has Betti numbers that are greater than or equal to the Betti numbers of every ideal in the family. Or decide if this special ideal even exists. Bigatti, Hulett, and Pardue showed that if we take the ideals with a fixed Hilbert function, there is such an ideal: the lexsegment ideal. Caviglia and Murai proved that if we take the saturated ideals with a fixed Hilbert polynomial, there is also such an ideal. We present a generalization of these two situations, an algorithm for determining the existence of these special ideals and finding them when they do exist, and some cases where we guarantee existence

A Study of the Effectiveness of Using Volunteer Tutors in a Corrective Reading Program

The following hypothesis was used to evaluate this study: 1. Students in the corrective reading program who engage in a volunteer tutoring approach to reading skill improvement will show greater reading skill improvement than those students only exposed to the academic classroom

"Interaction-Free" Imaging

Using the complementary wave- and particle-like natures of photons, it is possible to make ``interaction-free'' measurements where the presence of an object can be determined with no photons being absorbed. We investigated several ``interaction-free'' imaging systems, i.e. systems that allow optical imaging of photosensitive objects with less than the classically expected amount of light being absorbed or scattered by the object. With the most promising system, we obtained high-resolution (10 \mu m), one-dimensional profiles of a variety of objects (human hair, glass and metal wires, cloth fibers), by raster scanning each object through the system. We discuss possible applications and the present and future limits for interaction-free imaging.Comment: 10 pages, 6 encapsulated Postscript figure files, accepted for publication in Physical Review

The International X-ray Observatory

The International X-ray Observatory (IXO) is a joint ESA-JAXA-NASA effort to address fundamental and timely questions in astrophysics: What happens close to a black hole? How did supermassive black holes grow? How does large scale structure form? What is the connection between these processes? To address these questions IXO will employ optics with 3 sq m collecting area and 5 arc sec angular resolution - 20 times more collecting area at 1 keV than any previous X-ray observatory. Focal plane instruments will deliver a 100-fold increase in effective area for high-resolution spectroscopy, deep spectral imaging over a wide field of view, unprecedented polarimetric sensitivity, microsecond spectroscopic timing, and high count rate capability. The mission is being planned for launch in 2021 to an L2 orbit, with a five-year lifetime and consumables for 10 years.Comment: 6 pages, 3 figures, for conference "X-ray Astronomy 2009 Present status, multi-wavelength approach and future perspectives

METHOD FOR A GRAPHICAL USER INTERFACE TO AID AN ADMINISTRATOR IN CREATING PROGRAMS THAT INTERACT WITH A DEVICE VIA AN APPLICATION PROGRAMMING INTERFACE

An Application Programming Interface (API) Workflow Recorder is described herein which enhances the human Graphical User Interface (GUI) of a device to directly expose the programmatic methods that can be used to make changes to the device. An administrator may enable the API Workflow Recorder, make changes to the device using familiar point-and-click workflow in the GUI, and then generate a programmatic script for a machine that uses API calls to accomplish the same tasks that were just performed in the GUI, but using the API for the device. This system greatly improves the speed and accuracy for creating offline programs that interact with a device via the device’s API

Thermal and structural properties of unusual starches from developmental corn lines

Starches from exotic corn lines were screened by using differential scanning calorimetry (DSC) to find thermal properties that were significantly different from those exhibited by starches from normal Corn Belt lines. Two independent gelatinization transitions, one corresponding to the melting of a peak at ∼66 °C and the other to a peak melting at ∼69 °C, were found in some starches. The melting characteristics were traced to two separate types of granules within the endosperm. Strong correlations were found between DSC properties and proportion of large granules with equivalent diameter ≥17 μm. Starches with a lower peak onset gelatinization temperature (ToG), had a lower normalized concentration of chains with a degree of polymerization (dp) of 15–24 and/or a greater normalized concentration of chains with a dp of 6–12. These studies will aid in understanding structure–thermal property relationships of starches, and in identifying corn lines of interest for commercial breeding

MONITORING AND REPORTING THE SAFETY PERFORMANCE OF DIFFERENT MODELS AND VERSIONS OF AUTONOMOUS VEHICLES

Presented herein are techniques that enable an administrative authority (e.g., city, municipality, etc.) to determine when a vehicle is under autonomous control, as well as to specifically determine the vendor and software version of the autonomous control system controlling the vehicle. If the vehicle has problems navigating the environment, the details of that problem are reported directly to the administrative authority. Any trending problems detected after a software update to the control systems can be proactively detected and reported to the vehicle vendor and upstream aggregation systems

TECHNIQUES FOR VISUALIZATION OF DEVICE INTERNAL PACKET PROCESSING AND NETWORK EVENTS

The techniques presented herein provide an easy to understand animation representing how traffic is entering, being processed, and exiting a device. In certain examples, events are represented by flying icons that enter an interface of a device. As they are processed by different features their tails get longer and gain segments that represent what feature acted on them. Any packet drops may be shown, for example, by the icons falling down from the device onto a floor that represents the drop reason and piling up to show the scale of the drops

WIRELESS EMERGENCY PROBE MESSAGE

The techniques described herein leverage The Institute of Electrical and Electronics Engineers (IEEE) 802.11ax probe request messages to encode an Emergency Beacon (Request for Help) within the initial non-Access-Point (AP) station’s (client’s) probe request packets which would notify the AP that a client is in distress and to notify Emergency Services (via text-to-911 and provide e911 location information). This new capability allows any 802.11ax AP to receive emergency beacons, regardless of how “closed” the networks are on that AP, thereby allowing any wireless client the ability to reach out for help and allowing the AP to relay that information onward towards emergency services