TWO INTERSECTING LOGICAL OR is one of the 256 characters in the Supplemental Mathematical Operators Unicode subset.
The image below shows how the TWO INTERSECTING LOGICAL OR symbol looks like in some of the most complete UTF-8 fonts: Code2000, Sun-ExtA, WenQuanYi Zen Hei and GNU Unifont. If the font in which this web site is displayed does not contain the TWO INTERSECTING LOGICAL OR symbol, you can use the image below to get an idea of what it should look like.
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