As is As is As is is a legal term used to disclaim some implied warranties for an item being sold. Certain types of implied warranties must be specifically disclaimed, such as the implied warranty of title. "As is" denotes that the seller is selling, and the buyer is buying an item in whatever condition it presently exists, and that the buyer is accepting the item "with all faults", whether or not immediately apparent. This is the classic "buyer beware" situation, where the careful buyer should take the time to examine the item before accepting it, or obtain expert advice. On the
Problems in Latin squares a Latin square of order n. Estimate T(n). Describe how all Latin subsquares in multiplication tables of Moufang loops arise. A partial Latin square has "Blackburn property" if whenever the cells (i,j) and (k,l) are occupied by the same symbol, the opposite corners (i,l) and (k,j) are empty. What is the highest achievable density of filled cells in a partial Latin square with the Blackburn property? In particular, is there some constant c > 0 such that we can always fill at least c n cells? Let formula_1 be the number of Latin squares of order n. What is the