Longa (music) Longa (music) A longa (pl. "longe" or "longae"), long, quadruple note (Am.), or quadruple whole note is a musical note that could be either twice or three times as long as a breve (Am.: double whole note, or double note), four or six times as long as a semibreve (Am.: whole note), that appears in early music. The number of breves in a long was determined by the "modus" or "mode" of a passage. Sections in perfect mode used three breves to the long while sections in imperfect mode used two breves to the long. Imperfect longs, worth two breves,
Time value of money on time value, and provides a simple introduction before considering more complicated and less familiar situations. This exposition follows . The fundamental change that the differential equation perspective brings is that, rather than computing a "number" (the present value "now"), one computes a "function" (the present value now or at any point in "future"). This function may then be analyzed—how does its value change over time—or compared with other functions. Formally, the statement that "value decreases over time" is given by defining the linear differential operator formula_37 as: This states that values decreases (−) over time (∂) at the discount