A technique for real-time quantification of OsAMT1;3 relative to a housekeeping gene for encoding an actin in rice using real-time SYBR Green quantitative PCR(RQ-PCR) with specific primers was established,which showed:the amplification curve had flat baseline,distinct exponential area,large and stable slope;.

Let be an extended growth curve model, where i= 1is a random matrix, its components are independent and have the same distribtitionof ECr().

The paper supposes that diffusion processes of emerging technologies obey Markov processes,and the "S" curve models of emerging technologies are established by using differential equation methods,basing on the diffusion curves of emerging technologies;and diffusion processes of emerging technologies are analyzed using mathematical quantitative methods and qualitative methods.

The graph of growth curve in its growth process is normally characterized by an oblate shape like "S".

Six growth curves used for prediction of oilfield development indexes expressed with trigonometric function are proposed,thus perfecting and abounding in the existed growth curve methods further.

A new growth curve to predict indices of oilfield development, N p=N Rmax t/(a+t)] b, has been proposed, and its formulae for calculating production (Q t) vs time (t), maximum production (Q tmax ), time according maximum production (t m) and Reserves Production Reserves(RPR) have been derived.