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Consider the function swirl: img -> img, as well as the function pixellate: img -> img. Are these 1-1? onto? invertable? ---- Sums: Sum_{i=1..5} i^3 Sum_{i=1..5} 2i Sum_{i=1..5} (2i+3) Sum_{i=1..n} i (Gauss; geometric) Memorize this one! Sum_{i=1..100} 5i Sum_{i=1..100} (i+3) Sum_{i=1..n} 2^i Memorize this one! More examples, worked out: summations.pdf
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©2008, Ian Barland, Radford University Last modified 2008.Oct.13 (Mon) |
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