search for: c_m

Dear All, I would like to generate m positive real numbers c_i, I=1,...,m, such that (1) c_1 + c_2 + ... + c_m=m, (1) after being ordered into c_1 >= c_2 >= .... >=c_m>0, we have that c_m is of the same order of m^(-1/8), when m is sufficiently large. Thanks, -Chee [[alternative HTML version deleted]]

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I am trying to solve an integral in R. However, I am getting an error when I am trying to solve for that integral. The equation that I am trying to solve is as follows: $$ C_m = \frac{{abs{x}}e^{2x}}{\pi^{1/2}}\int_0^t t^{-3/2}e^{-x^2/t-t}dt $$ [image: enter image description here] The code that I am using is as follows: a <- seq(from=-10, by=0.5,length=100) ## Create a function to compute integrationCfun <- function(XX, upper){ integrand <- function(x)x^(-...

...c()) }) } times<-seq(from=1, to=100, by=0.1) parms<-c(I_ext=6.5, g_Af=0.7, g_As=1.2, g_K=0.42, g_KCa=5.9, g_CaT=0.21, g_CaS=0.047, g_L=0.1, g_Na=2300, E_K=-86, E_L=-50, E_Ca=40, E_Na=50, vA=-43, k_KCa=600, C_Ca = 300, k_Ca=360, k_Af=45, k_As=10, k_h=500, C_m=0.0017) init<-c(v=-50, h_Na=0.52, m_Ca=0.52, m_CaT=0.52, m_CaS=0.52, h_CaT=0.52, m_K=0.52, m_KCa=0.52, h_KCa=0.52, m_A=0.52, h_Af=0.52, h_As=0.52) out<-ode(y=init, times=times, func=G1999, parms=parms, method="lsoda") Many thanks Jannetta -- =============================...