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Shatter - Definition |
| Related Words: Annihilate, Blast, Break, Cleave, Confuse, Crack, Crash, Craze, Crunch, Crush, Dash, Decimate, Demolish |
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In the field of Statistical Machine Learning the concept of shattering a set is an important one. For a collection of subsets <math>H<math> and a set <math>A<math> if <math>H<math> can obtain all possible subsets of <math>A<math> we say that <math>H<math> shatters <math>A<math>.
Definition
A set shatters <math>H<math> shatters <math>A<math> iff for all <math>B\subseteq A<math> there exists some <math>h\in H<math> such that <math>h\and A=\emptyset<math> i.e iff <math>\{B:B\subseteq A\} = \{A\and h:h\in H\}<math>
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Example Usage of Shatter |
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rockynj: I hate to Shatter ya world, but Jayz is a freemason. so is beyonce for all the girls that r brainwashed by her...I got a long list |
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BinacaFreak: Yep, my teeth are broken. They're all going to Shatter into a million pieces at any second. |
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naughtymutt: @AndrewRatcliffe oh don't Shatter my illusions, BTW I'm up a 60ft pine tree now putting the star on top, children holding safety rope. |
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