Bar (unit) (symbol: cbar), and millibar (symbol: mbar or mb). The notation bar(g), though deprecated by various bodies, represents gauge pressure, i.e., pressure in bars above ambient or atmospheric pressure. The bar is defined using the SI derived unit, pascal: ≡ 100,000 Pa ≡ 100,000 N/m. Thus, is equal to: and 1 bar is approximately equal to: Notes: The word "bar" has its origin in the Greek word (), meaning weight. The unit's official symbol is bar; the earlier symbol b is now deprecated and conflicts with the use of b denoting the unit barn, but it is still encountered, especially as
Pascal matrix both "L" and "U". In other words, matrices "S", "L", and "U" are unimodular, with "L" and "U" having trace "n". The elements of the symmetric Pascal matrix are the binomial coefficients, i.e. In other words, Thus the trace of "S" is given by with the first few terms given by the sequence 1, 3, 9, 29, 99, 351, 1275, … . The Pascal matrix can actually be constructed by taking the matrix exponential of a special subdiagonal or superdiagonal matrix. The example below constructs a 7-by-7 Pascal matrix, but the method works for any desired "n"×"n" Pascal matrices. (Note