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by the entropy maximizing property of the normal. We have proved an upper bound on the capacity of the Gaussian chan(n) nel with feedback in terms of the covariance matrix KX+Z . We now derive (n) (n) bounds on the capacity with feedback in terms of KX and KZ , which will then be used to derive bounds in terms of the capacity without feedback. For simplicity of notation, we will drop the superscript n in the symbols for covariance matrices. We rst prove a series of lemmas about matrices and determinants. Lemma 9.6.1 Let X and Z be n-dimensional random vectors. Then KX+Z + KX Z = 2KX + 2KZ . Proof KX+Z = E(X + Z)(X + Z)t = EXX + EXZ + EZX + EZZ

R2 and a pair of vectors v1 = (-1, l)T, 712 = (-1, -l)T. Define the subspaces W1 = {cyvl; cy E R} and W2 = {awz; cy E R}. It is V = W1 W2 and moreover W1 Ti Wz = { (0, O ) T ) , therefore V = Wl @ W2. According to Lemma A S this is equivalent to the fact that every vector v E V can be written uniquely as v = a11 1u2, where 7Lf1 E Wl and wz E W, (Figure A.6).

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Talbot, F, & Nouwen, A (2000) A review of the relationship between depression and diabetes in adults: Is there a link Diabetes Care, 23, 1556 1562 ter Braak, E, de Valk, H, de la Bije, Y, van der Laak, M, van Haeften, T, & Erkelens, D (2000) Response to training in blood glucose awareness is related to absence of previous hypoglycemic coma Diabetes Care, 23, 1199 1200 Toobert, D, & Glasgow, R (1991) Problem solving and diabetes self-care Journal of Behavioral Medicine, 14, 71 86 Toobert, D, Hampson, S, & Glasgow, R (2000) The Summary of Diabetes Self-Care Activities measure: Results from 7 studies and a revised scale Diabetes Care, 23, 943 950 Toyry, J, Niskanen, L, Mantysaari, M, Lansimies, E, & Uusitupa, M (1996).

Occurrence, predictors, and clinical signi cance of autonomic neuropathy in NIDDM: Ten-year follow-up from the diagnosis Diabetes, 45, 308 315 Travis, T (1997) Patient perceptions of factors that affect adherence to dietary regimens for diabetes mellitus Diabetes Educator, 23, 152 156 Trief, P, Grant, W, Elbert, K, & Weinstock, R (1998) Family environment, glycemic control, and the psychosocial adaptation of adults with diabetes Diabetes Care, 21, 241 245 UK Prospective Diabetes Study Group (1998) Intensive blood glucose control with sulphonylureas or insulin compared with conventional treatment and risk of complications in patients with type 2 diabetes (UKPDS 33) Lancet, 352, 837 853 US Department of Health and Human Services (1991) Healthy People 2000 National Health Promotion and Disease Prevention Objectives (DHHS Publication No PHS91 50212) Washington, DC: US Government Printing Of ce Viinamaki, H, Niskanen, L, Korhonen, T, & Tahka, B (1993).

If you perform a fresh installation on the same partition, you overwrite these folders By contrast, installing to a separate partition keeps those folders in place (Windows creates new ones on the new partition), letting you access that separate partition later and reclaim your files (See Appendix B for details on reinstalling Windows XP to a separate partition) If your system currently has only one partition, the nonfunctioning Windows XP is on that partition You can t use the old DOS-oriented FDISK to create the new partition in this case because FDISK knows how to make and delete partitions, not split existing partitions into two or more To divide your partition, you need a third-party disk-partitioning package such as Symantec s Partition Magic or V Communications Partition Commander These programs work superbly, but they require an operating system to function.

The patient-doctor relationship and metabolic control in patients with type 1 (insulin-dependent) diabetes mellitus International Journal of Psychiatry in Medicine, 23, 265 274 Vinicor, F, Cohen, S, Mazzuca, S, Moorman, N, Wheeler, M, Kuebler, T, et al (1987) DIABEDS: A randomized clinical trial of the effects of physician and/or patient education on diabetes patient outcomes Journal of Chronic Diseases, 40(4), 345 356 Wales, J (1995) Does psychological stress cause diabetes Diabetic Medicine, 12, 109 12 1 Watkins, P, & Thomas, P (1998) Diabetes mellitus and the nervous system Journal of Neurology, Neurosurgery, and Psychiatry, 65, 620 632 Watts, F (1980) Behavioral aspects of the management of diabetes mellitus: Education, self-care and metabolic control Behavioral Research and Therapy, 18, 171 180 Weller, S, Baer, R, Pachter, L, Trotter, R, Glazer, M, Garcia de Alba Garcia, J, et al.