# Forgetting curve

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The forgetting curve illustrates the decline of memory retention in time. A related concept is the strength of memory that refers to the durability that memory traces in the brain. The stronger the memory, the longer we can remember it. A typical graph of the forgetting curve shows that humans tend to halve their memory of newly learned knowledge in a matter of days or weeks unless they consciously review the learned material. . We can roughly describe forgetting with

$R = e^{-t/S}$

where $R$ is memory retention, $S$ is relative strength of memory and $t$ is time (see exponential decay).

The speed of forgetting depends on a number of factors such as the difficulty of the learned material (e.g. how meaningful it is), its representation (see: mnemonic), and physiological factors such as stress and sleep. The basal forgetting rate differs little between individuals. The difference in performance (e.g. at school) can be explained by mnemonic representation skills. This means that some people are able to "imagine" memories in the right way while others are not.

Basic training in mnemonic techniques can help overcome those differences in part. The best methods for increasing the strength of memory are:

1. better memory representation (e.g. with mnemonic techniques)
2. repetition based on active recall (esp. spaced repetition)

Each repetition in learning increases the optimum interval before the next repetition is needed (for near-perfect retention, initially repetitions may need to be made within days, but later than can be made after years)

The first significant study in this area was carried out by Hermann Ebbinghaus and published in 1885 as Über das Gedächtnis (later translated into English as Memory. A Contribution to Experimental Psychology). Ebbinghaus studied the memorisation of nonsense syllables, such as "WID" and "ZOF". By repeatedly testing himself after various time periods and recording the results, he was the first to describe the shape of the forgetting curve.

The forgetting curve is steepest for nonsensical material such as that studied by Ebbinghaus. On the other hand, it is nearly flat for vivid or traumatic memories. The flatness of the curve is not necessarily evidence for the decrease in the forgetting rate, but can be taken as evidence of implicit repetition (e.g. reliving memories) that indefinitely restores memory traces.

In a typical schoolbook application (e.g. learning word pairs), most students show the retention of 90% after 3-6 days (depending on the material). This means that, in this period, the forgetting curve "falls" by 10%.