Novibazar is a mountainous region, watered by the **Lim**, which flows north into Bosnia, and by several small tributaries of the Servian Ibar.

If therefore we choose a quantity e such that log e I o X X= I, log i oe = X, which gives (by more accurate calculation) e=2.71828..., we shall have **lim**(loge(I+0))}/0=I, and conversely '**lim**' {ex+0 - e x } 143= The deduction of the expansions log e (' +x) = x - Zx 2 + 3x 3 - ..., e x = I +.x+x2/2!+x3/3!-}-..., is then more simply obtained by the differential calculus than by ordinary algebraic methods.

Example 3.-Analysing in this way the rotation of a rectangle filled with liquid into the two components of shear, the stream function 1//1 is to be made to satisfy the conditions v 2 /1 =0, 111+IRx 2 = IRa 2, or /11 =o when x= = a, +b1+IRx 2 = I Ra2, y ' 1 = IR(a 2 -x 2), when y = b Expanded in a Fourier series, 2 232 2 cos(2n+ I)Z?rx/a a -x 7r3 a **Lim** (2n+I) 3 ' (1) so that '?"

The small islands of **Lim** and Gdutz have also monasteries and churches.

Ch S u ?uz ' Mu **lim** to.