There are several ways of deriving formulae for the convolution of probability distributions. Boundary-layer theory is amenable to the method of matched asymptotic expansions for deriving approximate solutions. This is also useful in deriving other inverse trigonometric forms below. Huffman coding is the most known algorithm for deriving prefix codes. There are alternative approaches for deriving and estimating PIT and TTC PDs. Any symbol manipulation is in need of some way of deriving what those symbols mean. These factors are extremely important for the efficiency of deriving ES cells. It is often described as "deriving" knowledge from the input data. A historical note on methods of deriving Fowler-Nordheim-type equations is necessary. Sadism involves deriving pleasure through others undergoing discomfort or pain. In deriving these concepts, he reasons roughly as follows. This section regroup several methods for deriving Cardano's formula. Proto-Indo-European employed various means of deriving words from other words, or directly from verb roots. Stefan Mittnik and Svetlozar Rachev presented strategies for deriving optimal portfolios in such settings. For psychologists, the acts of judging, reasoning, deriving, and so on, are all psychological processes.