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12.3 Equation (12.64) states that C = 0 for v < vc. Using the formula S = - (aC/aT)p, we would obtain S = 0 for v < vc' in contradiction to (12.65). What is wrong with the previous statement 12.4 In the neighborhood of z = 1 the following expansion may be obtained (F. London, loc. cit.):

gS/2(Z) =

If the price had crossed under and over the indicator 10 times during the course of the chart, it would obviously be much less useful Moving averages can be set to virtually any length of time To take an extreme example, a 1-day moving average would match the closing price exactly (and would therefore simply be a line graph of the price chart) The shortest timespan typically seen with moving averages is 10 days, and other common lengths include 30, 50, 100, and 200-day moving averages The longer the period, the slower (and smoother) the moving average is A 200-day moving average is going to lag the price far more than, for instance, a 30-day moving average Generally speaking, the longer time period you use, the less frequent the signals will be.

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where" == -log z. From this the corresponding expansions for g3/2' gl/2, and g-l/2 maybe obtained by the recursion formula gn-l = -agn/a". Using this expansion show that for the ideal Bose gas the discontinuity of aCv/aT at T = ~. is given by

a c v) ( a c v) ( aT Nk T~T/ aT Nk T~Tc-

Open the form to which you want to apply conditional formatting in Layout view. Click the field to which you want to apply conditional formatting. Click the Format tab. Click the Conditional Formatting button.

12.5 Show that the equation of state of the ideal Bose gas in the gas phase can be written in the form of a virial expansion, Le.,

412 ---;;

1 ("}'.3) + (1 - 913 )("},.3)2 2 ---;; "8

lim -V log 2( z, V, T)

"~.6 (a) Calculate the grand partition function 2(z, V, T) for a two-dimensional ideal Bose gas and obtain the limit

where V = L 2 is the area available to the system. (b) Find the average number of particles per unit area as a function of z and T. (c) Show that there is no Bose-Einstein condensation for a two-dimensional ideal Bose gas.

If you are a relatively conservative trader, a 200-day moving average will be far better suited to you than a shorter time horizon Figure 52 provides a good example of this The security OIH made a broad upward movement, nearly doubling in price during the timeframe shown A buy signal, highlighted with the arrow, took place early in December when the price moved above the 200-day moving average Even.

12.7 Consider two free bosons contained in a box of volume V with periodic boundary conditions. Let the momenta of the two particles be p and q.

attraction."

:; =

Set the criteria you want to use to apply conditional formatting. Specify how values that meet your criteria should be formatted. Click OK.

1 + (-

Thus we can conclude that the third and higher virial coefficients, if they depend on a, must involve orders of a 2 or higher.

iftt(x)ift(y)

+ f(lx - yl)

mkT e- r/

FIGURE 5.2 The buy signal is generated here when the price of OIH crosses above its 200-day moving average.

f(r)

d k f-- e ikor (n (2'1T)3

= -2- -

(T - T,.)/T,.

7 6 8

f(x) == (p(x)p(O) - (NIV)2

where p(x)

f(x)

L ei(k-q)ox(nq(nk+1)_ -Leikox(nk) 1

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