One of the very useful series that show up in physics is the riemann zeta function 1 1 i ()5 4 32 where z > 1 (as you know, it does not converge for r 1). these series show up often in + +. (1) statistical mechanics, for example. show that u-1 du roo c)t(e (2) where the gamma function r() for r> 0 is given by r(z) jo (3) the integral in eq.(2) is related so-called bose-einstein integrals.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

the given statement is true.

sensory memory lasts for a fraction of seconds before the information is lost. it is the shortest -term memory and can be called as an element of memory. example: when we look at something and remember what it looks like, is just a second of observation. it degrades very quickly. it can also be considered as the process of perception rather than considering it as a memory.