Artinian Gorenstein algebras with linear resolutions

Fix a pair of positive integers d and n. We create a ring R and a complex G of R-modules with the following universal property. Let P be a polynomial ring in d variables over a field and let I be a grade d Gorenstein ideal in P which is generated by homogeneous forms of degree n. If the resolution of P/I by free P-modules is linear, then there exists a ring homomorphism from R to P such that P tensor G is a minimal homogeneous resolution of P/I by free P-modules. Our construction is coordinate free

Motion Capture for Telemedicine: A Review of Nintendo Wii, Microsoft Kinect, and PlayStation Move

Access to healthcare has been and continues to be difficult for many around the world. With the introduction of telemedicine, this impediment to attaining medical care has been lifted. Although many avenues of telemedicine exist (and have yet to exist), the use of home video game consoles such as the Nintendo Wii®, Microsoft Kinect®, and PlayStation Move® can be used to measure patient progress outside of the office. Due to the nature of each individual console/system, some unique characteristics exist that allow each system to provide its own clinical potential. A comparative analysis of the clinical implications of the Nintendo Wii®, Microsoft Kinect®, and PlayStation Move® showed that with its ease of use and dynamic accuracy, the Microsoft Kinect® offered the most benefit. With further exploration, using the Microsoft Kinect® for telemedicine will be able to improve medical efficiency and hopefully health outcomes