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principia.blog
| | thinking-about-science.com
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| | Many people believe that scientific laws can't be broken. This is based on a misunderstanding of the phrase "scientific law". In the year 1687 Isaac Newton published a book called Philosophiae Naturalis Principia Mathematica in which he stated three important ideas which he believed govern how things move. We now call them Newton's laws of...
| | darkcoding.net
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| | Solvitas perambulum
| | nickhar.wordpress.com
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| | 1. Low-rank approximation of matrices Let $latex {A}&fg=000000$ be an arbitrary $latex {n \times m}&fg=000000$ matrix. We assume $latex {n \leq m}&fg=000000$. We consider the problem of approximating $latex {A}&fg=000000$ by a low-rank matrix. For example, we could seek to find a rank $latex {s}&fg=000000$ matrix $latex {B}&fg=000000$ minimizing $latex { \lVert A - B...
| | inquiryintoinquiry.com
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| Introduction The praeclarum theorema, or splendid theorem, is a theorem of propositional calculus noted and named by G.W.Leibniz, who stated and proved it in the following manner. If a is b and d is c, then ad will be bc. This is a fine theorem, which is proved in this way: a is b, therefore...