An image forming apparatus provided with an image forming portion for forming an image on a sheet, a sheet containing portion provided below the image forming portion and containing sheets to be supplied to the image forming portion, and a re-conveying path for again conveying the sheet having an image formed thereon to the image forming portion, wherein a portion of the lower side of the re-conveying path is disposed in the sheet containing portion.

 
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> Hadamard transformation method and apparatus

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