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Central pattern generators (CPGs) are self-organizing biological neural circuits [1] [2] that produce rhythmic outputs in the absence of rhythmic input. [3] [4] [5] They are the source of the tightly-coupled patterns of neural activity that drive rhythmic and stereotyped motor behaviors like walking, swimming, breathing, or chewing.
An example where convolutions of generating functions are useful allows us to solve for a specific closed-form function representing the ordinary generating function for the Catalan numbers, C n. In particular, this sequence has the combinatorial interpretation as being the number of ways to insert parentheses into the product x 0 · x 1 ·⋯ ...
Other generating functions of random variables include the moment-generating function, the characteristic function and the cumulant generating function. The probability generating function is also equivalent to the factorial moment generating function , which as E [ z X ] {\displaystyle \operatorname {E} \left[z^{X}\right]} can also be ...
Unconscious inference refers to the idea that the human brain fills in visual information to make sense of a scene. For example, if something is relatively smaller than another object in the visual field, the brain uses that information as a likely cue of depth, such that the perceiver ultimately (and involuntarily) experiences depth.
The generation effect is typically achieved in cognitive psychology experiments by asking participants to generate words from word fragments. [2] This effect has also been demonstrated using a variety of other materials, such as when generating a word after being presented with its antonym, [3] synonym, [1] picture, [4] arithmetic problems, [2] [5] or keyword in a paragraph. [6]
In statistics and in empirical sciences, a data generating process is a process in the real world that "generates" the data one is interested in. [1] This process encompasses the underlying mechanisms, factors, and randomness that contribute to the production of observed data.
Kant distinguished two forms of imagination: productive and reproductive. Productive imagination functions as the original source of the presentation of an object, thus preceding experience; while reproductive imagination generates presentations derived from past experiences, recalling empirical intuitions it previously had. [52]
The extraverted functions are in the front of the brain, while the introverted functions are in the back of the brain. The order of the cognitive functions are then determined not by an archetypal hierarchy (as supposed by Beebe) but by an innate brain lateralization preference. [citation needed]