Let P and Q be two complex matrices satisfying P 2 = P and Q = Q. If a, b are nonzero complex numbers such that aP + bQ is diagonalizable, we relation the spectrum of aP + bQ with the spectrum of P −Q, PQ, PQP and PQ−QP .

Introduction Conclusions References

Atmospheric carbon dioxide concentration [CO2] will increase in the future and will affect global climate and ecosystem productivity. Crop models used in past assessments of climate change effect on ecosystem productivity have not been adequately tested for the ability to simulate ecosystem responses to [CO2]. Our objective was to evaluate the ability of the default CROPGRO–Soybean model to pre...

Third year Computer Science students were studied in order to determine which knowledge, skills and strategies they used during anobject-oriented programming task. Quantitative and qualitative methods were used to analyse their computer programs and associatedthinking processes. Successful programmers applied significantly more cognitive, metacognitive and problem-solving knowledge,...

1 Penn Centre for Brain Injury and Repair and Department of Neurosurgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104, USA 2 Division of Clinical Neurosciences, University of Glasgow, Glasgow G51 4TF, UK 3 Department of Laboratory Medicine, Southern General Hospital, Glasgow G51 4TF, UK 4 Centre for Neurodegenerative Disease Research, Institute on Ageing and ...