Direct characterization is when an author clearly states in the text what kind of personality the character has. For example, if the author writes " Cidney was always sad" That would be direct characterization. Indirect characterization would be " Cidney always seemed to be frowing or pouting" which would then lead you to believe she's always sad. Both of those examples pretty much mean the same thing exept one is direct and the other is making you infer.
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In the story,"Acrhimedes and the Siege of Syracuse", King Hieron has a problem at the beginning. King Hieron problem was that the Romans were angry at the Carthaginians, because they can't tade soflty or nicely. It makes King Hieron more pumped and more mad. He gets//hires people to stop this and fix it. In conclusion, this is what King Hieron problem was.