Pascal (unit) Pascal (unit) The pascal (symbol: Pa) is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength. It is defined as one newton per square metre. It is named after the French polymath Blaise Pascal. Common multiple units of the pascal are the hectopascal (1 hPa = 100 Pa) which is equal to one millibar, and the kilopascal (1 kPa = 1000 Pa) which is equal to one centibar. The unit of measurement called standard atmosphere (atm) is defined as . Meteorological reports typically state atmospheric pressure in millibars. The unit is
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