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For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d. Derivations also use the log definitions x = b log b (x ...
Heinz Werner's orthogenetic principle is a foundation for current theories of developmental psychology [1] and developmental psychopathology. [2] [3] Initially proposed in 1940, [4] it was formulated in 1957 [5] [6] and states that "wherever development occurs it proceeds from a state of relative globality and lack of differentiation to a state of increasing differentiation, articulation, and ...
Experimental methods are very popular in psychology, going back more than 100 years. Experimental psychology is a sub-discipline of psychology . Statistical methods applied for designing and analyzing experimental psychological data include the t-test, ANOVA, ANCOVA, MANOVA, MANCOVA, binomial test, chi-square, etc.
The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function x ↦ b x {\displaystyle x\mapsto b^{x}} .
Importantly, individuals can also differ not only in their current state, but in the magnitude or even direction of response to a given stimulus. [5] Such phenomena, often explained in terms of inverted-U response curves, place differential psychology at an important location in such endeavours as personalized medicine, in which diagnoses are customised for an individual's response profile.
The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself. This usually occurs in cases where the function of interest is composed of a product of a number of parts, so that a logarithmic transformation will turn it into a sum of separate parts (which is much easier ...
Many properties of the real logarithm also apply to the logarithmic derivative, even when the function does not take values in the positive reals. For example, since the logarithm of a product is the sum of the logarithms of the factors, we have ( log u v ) ′ = ( log u + log v ) ′ = ( log u ) ′ + ( log v ...
Evaluative differentiation involves the acknowledgement that reasonable people can view any given event differently and that making a decision involves balancing any legitimate competing interests. In contrast, thinking in an evaluatively un-differentiated manner involves thinking rigidly and refusing to compromise or consider any alternative.