The main result of this article is that for collections of entry-wise non-negative matrices the property of possessing a standard triangularization is stable under approximation. The methodology introduced to prove this result allows us to offer quick proofs of the corresponding results of [B. R. Yahaghi, Near triangularizability implies triangularizability, Canad. Math. Bull. 47, (2004), no. 2...

Potato waffles and baked beans for breakfast. A touch of salt and vinegar and I have a real treat on my hands., A slightly unusual breakfast, some might say, but then again, sometimes unusual is better than usual. Hmmmm ... Delicious! Four minutes later, no more waffles. It's as though they have disappeared. Born out of the freezer, they spent their short lives in my toaster. Both of them. I wo...

was, by common consent, the recognised leader in this country. Nor can lapse of time efface his claims to remembrance: he has left too many behind him who have been indebted to his wise counsel for health, to his luminous teaching for knowledge, to his upright example for conduct. This is not the place to sketch, even in outline, the history of his life; that has been amply done elsewhere. Suff...

one of the commonest topics of pre-islamic poems is azelah (reproachful woman) and her reproaches about the poet and of his way of thinking and behavior. the fear of death and the desire to leave a good name and be a champion can cause the poet to go to extremes in donating the property and make him bold and fearless. on the other hand, the poet is worried about death and inexistence. therefore...

How Euclid might have written and checked the correctness of his famous algorithm had he been a little further ahead of his time. Euclid of Alexandria was thinking. A traveler had that morning told him of a marvelous thing he had learned many years earlier from Eudoxus of Cnidus: a marvelous way to find the greatest common divisor of two numbers. But Eudoxus had not revealed the proof, and Eucl...