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The latter happens if the image () is neither an open set nor a closed set in . For a given space , the existence of an embedding is a topological invariant of . This allows two spaces to be distinguished if one is able to be embedded in a space while the other is not.
As well as two groups (closed or open hand-shapes), there were three different categories relating to hand-shape: compatible, incompatible and neutral. Behavioural results from the study showed that participants responded quicker when the hand-shape required to press the response-button was compatible with the hand-shape inferred by the sentence.
Historically, questions regarding the functional architecture of the mind have been divided into two different theories of the nature of the faculties. The first can be characterized as a horizontal view because it refers to mental processes as if they are interactions between faculties such as memory, imagination, judgement, and perception, which are not domain specific (e.g., a judgement ...
Embodied embedded cognition (EEC) is a philosophical theoretical position in cognitive science, closely related to situated cognition, embodied cognition, embodied cognitive science and dynamical systems theory. The theory states that intelligent behaviour emerges from the interplay between brain, body and world. [1]
In linguistics, center embedding is the process of embedding a phrase in the middle of another phrase of the same type. This often leads to difficulty with parsing which would be difficult to explain on grammatical grounds alone. The most frequently used example involves embedding a relative clause inside another one as in:
The back-and-forth discussion between Khosla and Andreessen saw the two opine on Sam Altman, OpenAI’s lawsuits, and Elon Musk, who chimed in himself at one point.The debate also explored whether ...
For example, if X and Y are smooth over a scheme S and if i is an S-morphism, then i is a regular embedding. In particular, every section of a smooth morphism is a regular embedding. [1] If is regularly embedded into a regular scheme, then B is a complete intersection ring. [2]
If Carter had won another term as president, those four years would have been far less fruitful than the faith-filled four-decade 'second term' that he and Rosalynn devised.